From 32d6392492905c4257492edfc26eeb0764da292a Mon Sep 17 00:00:00 2001 From: ayebex Date: Sat, 17 Oct 2015 11:47:24 +0200 Subject: [PATCH 01/27] Update README.md --- README.md | 9 ++++----- 1 file changed, 4 insertions(+), 5 deletions(-) diff --git a/README.md b/README.md index 90df23b5c..77d2a4678 100644 --- a/README.md +++ b/README.md @@ -1,9 +1,8 @@ -# MATLAB Fall 2014 – Research Plan (Template) -(text between brackets to be removed) +# MATLAB Fall 2015 – Research Plan -> * Group Name: (be creative!) -> * Group participants names: (alphabetically sorted by last name) -> * Project Title: (can be changed later) +> * Group Name: destructive +> * Group participants names: Deichmann, Marion; Kaiser, Lorenz; Schäfer, Timo +> * Project Title: Modelling Contagion in a Core Periphery Financial Network ## General Introduction From a486ff9a25faabbf4c9f83252a39aac7d528a379 Mon Sep 17 00:00:00 2001 From: schatimo Date: Sat, 17 Oct 2015 11:59:31 +0200 Subject: [PATCH 02/27] most current prop --- 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proposal/economet.bst create mode 100644 proposal/proposal_css.aux create mode 100644 proposal/proposal_css.bbl create mode 100644 proposal/proposal_css.blg create mode 100644 proposal/proposal_css.log create mode 100644 proposal/proposal_css.out create mode 100644 proposal/proposal_css.tex create mode 100644 proposal/proposal_css.tex~ diff --git a/proposal/bib.bib b/proposal/bib.bib new file mode 100644 index 000000000..18d85e438 --- /dev/null +++ b/proposal/bib.bib @@ -0,0 +1,53 @@ +% This file was created with JabRef 2.10. +% Encoding: Cp1252 + + +@Article{Erdos1959, + Title = {On random graphs I}, + Author = {Erd\H{o}s, P and R\'{e}nyi, A}, + Journal = {Publ. Math. Debrecen}, + Year = {1959}, + Pages = {290-297}, + Volume = {6} +} + +@Article{Gai2010, + Title = {Contagion in Financial Networks}, + Author = {Gai, Prasanna and Kapadia, Sujit}, + Journal = {Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences}, + Year = {2010}, + Pages = {2401-2423}, + + Organization = {The Royal Society} +} + +@TechReport{Georg2014, + Title = {A network view on interbank market freezes}, + Author = {Georg, Co-Pierre and Silvia Gabrieli}, + Institution = {Banque de France}, + Year = {2014} +} + +@Article{Lux2015, + Title = {Emergence of a core-periphery structure in a simple dynamic model of the interbank market}, + Author = {Lux, Thomas}, + Journal = {Journal of Economic Dynamics and Control}, + Year = {2015}, + Pages = {11-23}, + Volume = {52}, + + Publisher = {Elsevier} +} + +@Article{Watts1998, + Title = {Collective dynamics of 'small-world' networks}, + Author = {Watts, Duncan J and Strogatz, Steven H}, + Journal = {nature}, + Year = {1998}, + Number = {6684}, + Pages = {440-442}, + Volume = {393}, + + Publisher = {Nature Publishing Group} +} + diff --git a/proposal/bib.bib.bak b/proposal/bib.bib.bak new file mode 100644 index 000000000..18d85e438 --- /dev/null +++ b/proposal/bib.bib.bak @@ -0,0 +1,53 @@ +% This file was created with JabRef 2.10. +% Encoding: Cp1252 + + +@Article{Erdos1959, + Title = {On random graphs I}, + Author = {Erd\H{o}s, P and R\'{e}nyi, A}, + Journal = {Publ. Math. Debrecen}, + Year = {1959}, + Pages = {290-297}, + Volume = {6} +} + +@Article{Gai2010, + Title = {Contagion in Financial Networks}, + Author = {Gai, Prasanna and Kapadia, Sujit}, + Journal = {Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences}, + Year = {2010}, + Pages = {2401-2423}, + + Organization = {The Royal Society} +} + +@TechReport{Georg2014, + Title = {A network view on interbank market freezes}, + Author = {Georg, Co-Pierre and Silvia Gabrieli}, + Institution = {Banque de France}, + Year = {2014} +} + +@Article{Lux2015, + Title = {Emergence of a core-periphery structure in a simple dynamic model of the interbank market}, + Author = {Lux, Thomas}, + Journal = {Journal of Economic Dynamics and Control}, + Year = {2015}, + Pages = {11-23}, + Volume = {52}, + + Publisher = {Elsevier} +} + +@Article{Watts1998, + Title = {Collective dynamics of 'small-world' networks}, + Author = {Watts, Duncan J and Strogatz, Steven H}, + Journal = {nature}, + Year = {1998}, + Number = {6684}, + Pages = {440-442}, + Volume = {393}, + + Publisher = {Nature Publishing Group} +} + diff --git a/proposal/economet.bst b/proposal/economet.bst new file mode 100644 index 000000000..1ebf5065b --- /dev/null +++ b/proposal/economet.bst @@ -0,0 +1,1292 @@ +%%% Econometrica bibliography style +%%% For use with harvard.sty and LaTeX2e (NFSS) or LaTeX 2.09 +%%% 24-aug-94 +%%% +%%% Based on makebst, but with modifications by +%%% kcb@hss.caltech.edu (KC Border) +%%% Please report any problems to me. +%%% +%%% The main changes from the ouput of makebst are: +%%% 1. Addition of a function to replace repeated authors with a 3 em dash. +%%% (Search for compare.names, this function is portable.) +%%% 2. Modification of output.nonnull to allow commas inside quotation marks +%%% and no comma after year. +%%% 3.Eliminated feature (bug?) of the harvard style of citation. +%%% It creates a short label for subsequent citations. This alleged +%%% feature shortens both Aliprantis, Border, and Luxemburg (1991) and +%%% Aliprantis, Brown, and Burkinshaw (1991) to Aliprantis et~al. (1991). +%%% This creates the need to label these as +%%% Aliprantis, Border, and Luxemburg (1991a) and +%%% Aliprantis, Brown, and Burkinshaw (1991b), despite the fact +%%% that these entries have different authors. I used my own format +%%% for creating the labels, and used the same label for +%%% both the short and long forms. I know that the +%%% _Chicago_Manual_of_Style recommends using Aliprantis et~al, +%% but Econometrica regularly writes out three authors, +%% and it is rare to cite an article with more than four authors in +%%% Econometrica. (I couldn't find an example of even four being cited, +%%% but I didn't spend a lot of time looking.) +%%% 4. Addition of macros to handle editions. (My own idiosycracy.) +%%% 5. A new entry type called issue for special issues of a journal. +%%% (Another idiosyncracy.) +%%% 6. Many details to conform to Econometrica's quirks. +%%% (Search for KCB ) +%%% 7. I wrote this for use with LaTeX2e and the NFSS2. However, I did +%%% add some macros so it will work with LaTeX 2.09. +%%% (Search for \ifx\undefined\emph ) +%%% The remainder of this file was generated by makebst, except for +%%% modifications marked with KCB. +%% +%% This is file `em.bst', generated +%% on <1994/8/17> with the docstrip utility (2.2h). +%% +%% The original source files were: +%% +%% genbst.mbs (with options: `ay,har,nm-rev1,nmft-sc,dt-beg,yr-par,tit-qq,atit-u,thtit-a,volp-com,edby,blk-com,pp,ed,abr,and-com,nfss') +%% ---------------------------------------- +%% *** Econometrica style *** +%% +%% (Here are the specifications of the source file) +%% \def\filename{genbst.mbs} +%% \def\filedate{1994 July 1} +%% \def\fileversion{1.3} +%% For use with BibTeX version 0.99a or later, LaTeX version 2.09 +%%------------------------------------------------------------------- +%% NOTICE: +%% This file may be used for non-profit purposes. +%% It may not be distributed in exchange for money, +%% other than distribution costs. +%% +%% The author provides it `as is' and does not guarantee it in any way. +%% +%% Copyright (C) 1994 Patrick W. Daly +%% Max-Planck-Institut f\"ur Aeronomie +%% Postfach 20 +%% D-37189 Katlenburg-Lindau +%% Germany +%% +%% E-mail: +%% SPAN-- nsp::linmpi::daly (note nsp also known as ecd1) +%% Internet-- daly@linmpi.dnet.gwdg.de +%%----------------------------------------------------------- +%% \CharacterTable +%% {Upper-case \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z +%% Lower-case \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z +%% Digits \0\1\2\3\4\5\6\7\8\9 +%% Exclamation \! Double quote \" Hash (number) \# +%% Dollar \$ Percent \% Ampersand \& +%% Acute accent \' Left paren \( Right paren \) +%% Asterisk \* Plus \+ Comma \, +%% Minus \- Point \. Solidus \/ +%% Colon \: Semicolon \; Less than \< +%% Equals \= Greater than \> Question mark \? +%% Commercial at \@ Left bracket \[ Backslash \\ +%% Right bracket \] Circumflex \^ Underscore \_ +%% Grave accent \` Left brace \{ Vertical bar \| +%% Right brace \} Tilde \~} +%%--------------------------------------------------------------------- + % This is an author-year citation style bibliography. As such, it is + % non-standard LaTeX, and requires a style option to function properly. + % The appropriate style file is: harvard.sty + % The form of the bibitem entries is + % \harvarditem[Jones et al.]{Jones, Baker, and Smith}{1990}{key}... + % There are style changes that may be specified in the text with + % the command \citationstyle. + % \citeasnoun{key} ==>> Jones et al. (1990) + % \cite{key} ==>> (Jones et al. 1990) + % \cite[chap. 2]{key} ==>> (Jones et al. 1990, chap. 2) + % On the first citation of any work, the full author list is used. +%%--------------------------------------------------------------------- + +ENTRY + { address + author + booktitle + chapter + edition + editor + howpublished + institution + journal + key + month + note + number + organization + pages + publisher + school + series + title + type + volume + year + } + {} + { label extra.label sort.label } %%%KCB: removed long.label + +INTEGERS { output.state before.all mid.sentence after.sentence after.block } + +%%%KCB: new output state, no.comma +INTEGERS { no.comma} + +FUNCTION {init.state.consts} +{ #0 'before.all := + #1 'mid.sentence := + #2 'after.sentence := + #3 'after.block := + #4 'no.comma := %%%KCB +} + +STRINGS { s t } + + +%%%KCB: revise to use new output state +FUNCTION {output.nonnull} +{ 's := + output.state no.comma = %%%KCB: if in this state, write a space + { " " * write$ before.all 'output.state := } %%%KCB + { output.state mid.sentence = %%%KCB: add brace at beginning + { ", " * write$ } + { output.state after.block = + { add.period$ write$ + newline$ + "\newblock " write$ + } + { output.state before.all = + 'write$ + { add.period$ " " * write$ } + if$ + } + if$ + } + if$ + mid.sentence 'output.state := + } %%%KCB: matching brace + if$ %%%KCB: test for no.comma state + s +} + +FUNCTION {output} +{ duplicate$ empty$ + 'pop$ + 'output.nonnull + if$ +} + +FUNCTION {output.check} +{ 't := + duplicate$ empty$ + { pop$ "empty " t * " in " * cite$ * warning$ } + 'output.nonnull + if$ +} + +FUNCTION {output.bibitem} +{ newline$ + "\harvarditem[" write$ + label write$ + "]{" label * "}{" * write$ %%%KCB: replaced long.label with label + year duplicate$ empty$ + { pop$ "????" } + 'skip$ + if$ + extra.label * "}{" * write$ + cite$ write$ + "}" write$ + newline$ + "" + before.all 'output.state := +} + +FUNCTION {fin.entry} +{ add.period$ + write$ + newline$ +} + +FUNCTION {new.block} +{ output.state before.all = + 'skip$ + { after.block 'output.state := } + if$ +} + +FUNCTION {new.sentence} +{ output.state after.block = + 'skip$ + { output.state before.all = + 'skip$ + { after.sentence 'output.state := } + if$ + } + if$ +} + +FUNCTION {not} +{ { #0 } + { #1 } + if$ +} + +FUNCTION {and} +{ 'skip$ + { pop$ #0 } + if$ +} + +FUNCTION {or} +{ { pop$ #1 } + 'skip$ + if$ +} + +FUNCTION {new.block.checkb} +{ empty$ + swap$ empty$ + and + 'skip$ + 'new.block + if$ +} + +FUNCTION {field.or.null} +{ duplicate$ empty$ + { pop$ "" } + 'skip$ + if$ +} + +FUNCTION {emphasize} +{ duplicate$ empty$ + { pop$ "" } + { "\emph{" swap$ * "}" * } + if$ +} + +INTEGERS { nameptr namesleft numnames } + +%%%KCB: Here is a portable set of routines to check for repeated authors +%%% and replace them with a 3 em dash +%%% According to _Chicago_Manual_of_Style_, a dash is used to +%%% replace an author's name only if the entire list is the same, so: +%%% Compare names. See if prev.name is identical to CurrList. +%%% If not, then just output CurrList. +%%% If so, replace with \BySame +%%% I use a conservative matching scheme, +%%% and check to see if full names are identical, +%%% even though we only use initials. +%%% This may mean that you have to correct your .bib database +%%% to ensure consistency. +%%% +%%% sample usage: +%%% search for {format.author} + +INTEGERS {currNum prevNum} + +STRINGS {PrevList CurrList prev.name PrevTemp CurrTemp} + +%%%KCB: Initialize prev.name ot some nonsense string: + +FUNCTION {init.prev.name} +{ +"My puppy Harley" 'prev.name := +} + +%%%KCB: Must EXECUTE {init.prev.name} after READ + +%%%KCB: compare.names +FUNCTION {compare.names} +{ prev.name 'PrevList := + duplicate$ 'prev.name := % make current list the new previous list + 'CurrList := + PrevList num.names$ 'prevNum := + CurrList num.names$ 'currNum := +% + prevNum currNum = %% If prevNum = currNum + { "" 'PrevTemp := %% Then take this branch + "" 'CurrTemp := + #1 'nameptr := %%% start with first name in each list + { nameptr prevNum > not }%% while nameptr <= prevNum +%% Format both lists the same way. +%% Use full names: bib file might need to be corrected + { + PrevList nameptr "{ff }{vv~}{ll}{ jj}" format.name$ PrevTemp * 'PrevTemp := + CurrList nameptr "{ff }{vv~}{ll}{ jj}" format.name$ CurrTemp * 'CurrTemp := + nameptr #1 + 'nameptr := } + while$ +%% Now compare : + PrevTemp CurrTemp = %% If PrevTemp = CurrTemp + { "\BySame{}" } + { CurrList } + if$ + } + { CurrList } %% If not prevNum = currNum + if$ %% If prevNum = currNum +} + +%%% +%%% +%%%KCB: End of new routine. + + +FUNCTION {format.names} +{ 's := + #1 'nameptr := + s num.names$ 'numnames := + numnames 'namesleft := + { namesleft #0 > } + { nameptr #1 > + { s nameptr "{f.~}{vv~}{ll}{, jj}" format.name$ 't := } + { s nameptr "{vv~}{ll}{, jj}{, f.}" format.name$ 't := } + if$ + nameptr #1 > + { + namesleft #1 > + { ", " * t * } + { + ", " * + t "others" = + { " et~al." * } + { " {\small and} " * t * } %%%KCB: added \small + if$ + } + if$ + } + 't + if$ + nameptr #1 + 'nameptr := + namesleft #1 - 'namesleft := + } + while$ +} + + +FUNCTION {format.names.ed} +{ 's := + #1 'nameptr := + s num.names$ 'numnames := + numnames 'namesleft := + { namesleft #0 > } + { s nameptr + "{f.~}{vv~}{ll}{, jj}" + format.name$ 't := + nameptr #1 > + { + namesleft #1 > + { ", " * t * } + { + ", " * + t "others" = + { " et~al." * } + { " {\small and} " * t * } %%%KCB: added \small + if$ + } + if$ + } + 't + if$ + nameptr #1 + 'nameptr := + namesleft #1 - 'namesleft := + } + while$ +} + +FUNCTION {format.key} +{ empty$ + { key field.or.null } + { "" } + if$ +} + +FUNCTION {format.authors} +{ author empty$ + { "" } + { "\textsc{" author compare.names format.names * "} " * } + if$ +} + +FUNCTION {format.editors} +{ editor empty$ + { "" } + { "\textsc{" editor compare.names format.names * " }" * + editor num.names$ #1 > + { " (eds.)" * } + { " (ed.)" * } + if$ + } + if$ +} + +FUNCTION {format.in.editors} +{ editor empty$ + { "" } + { editor format.names.ed + } + if$ +} + +FUNCTION {format.title} +{ title empty$ + { "" } + { title + "``" swap$ * ",'' " * + } +no.comma 'output.state := %%%KCB: + if$ +} + +FUNCTION {n.dashify} +{ 't := + "" + { t empty$ not } + { t #1 #1 substring$ "-" = + { t #1 #2 substring$ "--" = not + { "--" * + t #2 global.max$ substring$ 't := + } + { { t #1 #1 substring$ "-" = } + { "-" * + t #2 global.max$ substring$ 't := + } + while$ + } + if$ + } + { t #1 #1 substring$ * + t #2 global.max$ substring$ 't := + } + if$ + } + while$ +} + +FUNCTION {word.in} +{ "in " } + +FUNCTION {format.date} +{ year duplicate$ empty$ + { "empty year in " cite$ * "; set to ????" * warning$ + pop$ "????" } + 'skip$ + if$ + " (" swap$ * extra.label * "):" * %%%KCB: added : + before.all 'output.state := %%%KCB: +} + +FUNCTION {format.btitle} +{ title emphasize +no.comma 'output.state := %%%KCB: +} + +FUNCTION {tie.or.space.connect} +{ duplicate$ text.length$ #3 < + { "~" } + { " " } + if$ + swap$ * * +} + +FUNCTION {either.or.check} +{ empty$ + 'pop$ + { "can't use both " swap$ * " fields in " * cite$ * warning$ } + if$ +} + +FUNCTION {format.bvolume} +{ volume empty$ + { "" } + { "vol." volume tie.or.space.connect + series empty$ + 'skip$ + { " of " * series emphasize * } + if$ + "volume and number" number either.or.check + } + if$ +} + +FUNCTION {format.number.series} +{ volume empty$ + { number empty$ + { series field.or.null } + { output.state mid.sentence = + { "no." } + { "No." } + if$ + number tie.or.space.connect + series empty$ + { "there's a number but no series in " cite$ * warning$ } + { " in " * series * } + if$ + } + if$ + } + { "" } + if$ +} + +FUNCTION {format.edition} +{ edition empty$ + { "" } + { output.state mid.sentence = + { edition "l" change.case$ " edn." * } + { edition "t" change.case$ " edn." * } + if$ + } + if$ +} + +INTEGERS { multiresult } + +FUNCTION {multi.page.check} +{ 't := + #0 'multiresult := + { multiresult not + t empty$ not + and + } + { t #1 #1 substring$ + duplicate$ "-" = + swap$ duplicate$ "," = + swap$ "+" = + or or + { #1 'multiresult := } + { t #2 global.max$ substring$ 't := } + if$ + } + while$ + multiresult +} + +FUNCTION {format.pages} +{ pages empty$ + { "" } + { pages multi.page.check + { "pp." pages n.dashify tie.or.space.connect } + { "p." pages tie.or.space.connect } + if$ + } + if$ +} + +FUNCTION {format.vol.num.pages} +{ volume field.or.null + number empty$ + 'skip$ + { "(" number * ")" * * + volume empty$ + { "there's a number but no volume in " cite$ * warning$ } + 'skip$ + if$ + } + if$ + pages empty$ + 'skip$ + { duplicate$ empty$ + { pop$ format.pages } + { ", " * pages n.dashify * } + if$ + } + if$ +} + +FUNCTION {format.chapter.pages} +{ chapter empty$ + 'format.pages + { type empty$ + { "chap." } + { type "l" change.case$ } + if$ + chapter tie.or.space.connect + pages empty$ + 'skip$ + { ", " * format.pages * } + if$ + } + if$ +} + +FUNCTION {format.in.ed.booktitle} +{ booktitle empty$ + { "" } + { editor empty$ + { word.in booktitle emphasize * } + { word.in booktitle emphasize * ", ed. by " * %%%KCB: abbrv ed. + format.in.editors * } + if$ + } + if$ +} + +FUNCTION {format.thesis.type} +{ type empty$ + 'skip$ + { pop$ + type "t" change.case$ + } + if$ +} + +FUNCTION {format.tr.number} +{ type empty$ + { "Discussion Paper" } %%%KCB: changed default + 'type + if$ + number empty$ + { "t" change.case$ } + { number tie.or.space.connect } + if$ +} + +FUNCTION {format.article.crossref} +{ + word.in + "\cite{" * crossref * "}" * +} + +FUNCTION {format.book.crossref} +{ volume empty$ + { "empty volume in " cite$ * "'s crossref of " * crossref * warning$ + word.in + } + { "vol." volume tie.or.space.connect + " of " * + } + if$ + "\cite{" * crossref * "}" * +} + +FUNCTION {format.incoll.inproc.crossref} +{ + word.in + "\cite{" * crossref * "}" * +} + +FUNCTION {article} +{ output.bibitem + format.authors "author" output.check + author format.key output + format.date "year" output.check + format.title "title" output.check + crossref missing$ + { journal emphasize "journal" output.check + format.vol.num.pages output + } + { format.article.crossref output.nonnull + format.pages output + } + if$ + note output + fin.entry +} + +FUNCTION {book} +{ output.bibitem + author empty$ + { format.editors "author and editor" output.check + editor format.key output + } + { format.authors output.nonnull + crossref missing$ + { "author and editor" editor either.or.check } + 'skip$ + if$ + } + if$ + format.date "year" output.check + format.btitle "title" output.check + mid.sentence 'output.state := %%%KCB: + crossref missing$ + { format.bvolume output + format.number.series output + new.sentence + publisher "publisher" output.check + address output + } + { + format.book.crossref output.nonnull + } + if$ + format.edition output + note output + fin.entry +} + +FUNCTION {booklet} +{ output.bibitem + format.authors output + author format.key output + format.date "year" output.check + format.title "title" output.check + howpublished output + address output + note output + fin.entry +} + +FUNCTION {inbook} +{ output.bibitem + author empty$ + { format.editors "author and editor" output.check + editor format.key output + } + { format.authors output.nonnull + crossref missing$ + { "author and editor" editor either.or.check } + 'skip$ + if$ + } + if$ + format.date "year" output.check + format.btitle "title" output.check + crossref missing$ + { format.bvolume output + format.chapter.pages "chapter and pages" output.check + format.number.series output + new.sentence + publisher "publisher" output.check + address output + } + { format.chapter.pages "chapter and pages" output.check + format.book.crossref output.nonnull + } + if$ + format.edition output + note output + fin.entry +} + +FUNCTION {incollection} +{ output.bibitem + format.authors "author" output.check + author format.key output + format.date "year" output.check + format.title "title" output.check + crossref missing$ + { format.in.ed.booktitle "booktitle" output.check + format.bvolume output + format.number.series output + format.chapter.pages output + new.sentence + publisher "publisher" output.check + address output + format.edition output + } + { format.incoll.inproc.crossref output.nonnull + format.chapter.pages output + } + if$ + note output + fin.entry +} + +FUNCTION {inproceedings} +{ output.bibitem + format.authors "author" output.check + author format.key output + format.date "year" output.check + format.title "title" output.check + crossref missing$ + { format.in.ed.booktitle "booktitle" output.check + format.bvolume output + format.number.series output + format.pages output + address output + new.sentence + organization output + publisher output + } + { format.incoll.inproc.crossref output.nonnull + format.pages output + } + if$ + note output + fin.entry +} + +FUNCTION {conference} { inproceedings } + +%%%KCB: special issue of a journal with a special editor + +FUNCTION {issue} +{ output.bibitem + format.editors output + editor format.key output + format.date "year" output.check + format.btitle "title" output.check + crossref missing$ + { journal emphasize "journal" output.check + format.vol.num.pages output + } + { format.article.crossref output.nonnull + format.pages output + } + if$ + note output + fin.entry +} + +FUNCTION {manual} +{ output.bibitem + format.authors output + author format.key output + format.date "year" output.check + format.btitle "title" output.check + organization output + address output + format.edition output + note output + fin.entry +} + +FUNCTION {mastersthesis} +{ output.bibitem + format.authors "author" output.check + author format.key output + format.date "year" output.check + format.title "title" output.check + "Master's thesis" format.thesis.type output.nonnull + school "school" output.check + address output + note output + fin.entry +} + +FUNCTION {misc} +{ output.bibitem + format.authors output + author format.key output + format.date "year" output.check + format.title output + howpublished output + note output + fin.entry +} + +FUNCTION {phdthesis} +{ output.bibitem + format.authors "author" output.check + author format.key output + format.date "year" output.check + format.title "title" output.check + "Ph.D. thesis" format.thesis.type output.nonnull + school "school" output.check + address output + note output + fin.entry +} + +FUNCTION {proceedings} +{ output.bibitem + format.editors output + editor format.key output + format.date "year" output.check + format.btitle "title" output.check + format.bvolume output + format.number.series output + address output + new.sentence + organization output + publisher output + note output + fin.entry +} + +FUNCTION {techreport} +{ output.bibitem + format.authors "author" output.check + author format.key output + format.date "year" output.check + format.title "title" output.check + format.tr.number output.nonnull + institution "institution" output.check + address output + note output + fin.entry +} + +FUNCTION {unpublished} +{ output.bibitem + format.authors "author" output.check + author format.key output + format.date "year" output.check + format.title "title" output.check + note "note" output.check + fin.entry +} + +FUNCTION {default.type} { misc } + +MACRO {jan} {"January"} + +MACRO {feb} {"February"} + +MACRO {mar} {"March"} + +MACRO {apr} {"April"} + +MACRO {may} {"May"} + +MACRO {jun} {"June"} + +MACRO {jul} {"July"} + +MACRO {aug} {"August"} + +MACRO {sep} {"September"} + +MACRO {oct} {"October"} + +MACRO {nov} {"November"} + +MACRO {dec} {"December"} + +%%%KCB: removed computer science journal macros +%%%KCB: added following macros for editions +MACRO {first} {"1st "} +MACRO {second} {"2d "} +MACRO {third} {"3d "} +MACRO {fourth} {"4th "} +MACRO {fifth} {"5th "} +MACRO {sixth} {"6th"} +MACRO {seventh} {"7th "} +MACRO {eighth} {"8th "} +MACRO {ninth} {"9th "} +MACRO {tenth} {"10th "} + +READ + +FUNCTION {sortify} +{ purify$ + "l" change.case$ +} + +INTEGERS { len } + +FUNCTION {chop.word} +{ 's := + 'len := + s #1 len substring$ = + { s len #1 + global.max$ substring$ } + 's + if$ +} + + +%%%KCB: Change format of labels: +FUNCTION {format.lab.names} +{ 's := + #1 'nameptr := + s num.names$ 'numnames := + numnames 'namesleft := + { namesleft #0 > } + { s nameptr "{vv~}{ll}" format.name$ 't := + nameptr #1 > + { namesleft #1 > + { ", " * t * } + { numnames #2 > + { "," * } + 'skip$ + if$ + t "others" = + { " et~al." * } + { " and " * t * } + if$ + } + if$ + } + 't + if$ + nameptr #1 + 'nameptr := + namesleft #1 - 'namesleft := + } + while$ +} + +%%%KCB: removed FUNCTION {format.long.lab.names} + +FUNCTION {author.key.label} +{ author empty$ + { key empty$ + { cite$ #1 #3 substring$ } + 'key + if$ + } + { author format.lab.names } + if$ +} + +FUNCTION {author.editor.key.label} +{ author empty$ + { editor empty$ + { key empty$ + { cite$ #1 #3 substring$ } + 'key + if$ + } + { editor format.lab.names } + if$ + } + { author format.lab.names } + if$ +} + +FUNCTION {editor.key.label} +{ editor empty$ + { key empty$ + { cite$ #1 #3 substring$ } + 'key + if$ + } + { editor format.lab.names } + if$ +} + +%%%KCB: use entire year field as label + +FUNCTION {calc.label} +{ type$ "book" = + type$ "inbook" = + or + type$ "issue" = %%%KCB: need for new entry type + or %%%KCB + 'author.editor.key.label + { type$ "proceedings" = + 'editor.key.label + 'author.key.label + if$ + } + if$ + ", " + * + year field.or.null + * + 'label := +} + +FUNCTION {calc.short.label} +{ type$ "book" = + type$ "inbook" = + or + 'author.editor.key.label + { type$ "proceedings" = + 'editor.key.label + 'author.key.label + if$ + } + if$ + 'label := +} + +%%%KCB: removed FUNCTION {calc.long.label} + +FUNCTION {sort.format.names} +{ 's := + #1 'nameptr := + "" + s num.names$ 'numnames := + numnames 'namesleft := + { namesleft #0 > } + { nameptr #1 > + { " " * } + 'skip$ + if$ + s nameptr + "{vv{ } }{ll{ }}{ f{ }}{ jj{ }}" + format.name$ 't := + nameptr numnames = t "others" = and + { "et al" * } + { t sortify * } + if$ + nameptr #1 + 'nameptr := + namesleft #1 - 'namesleft := + } + while$ +} + +FUNCTION {sort.format.title} +{ 't := + "A " #2 + "An " #3 + "The " #4 t chop.word + chop.word + chop.word + sortify + #1 global.max$ substring$ +} + +FUNCTION {author.sort} +{ author empty$ + { key empty$ + { "to sort, need author or key in " cite$ * warning$ + "" + } + { key sortify } + if$ + } + { author sort.format.names } + if$ +} + +FUNCTION {author.editor.sort} +{ author empty$ + { editor empty$ + { key empty$ + { "to sort, need author, editor, or key in " cite$ * warning$ + "" + } + { key sortify } + if$ + } + { editor sort.format.names } + if$ + } + { author sort.format.names } + if$ +} + +FUNCTION {editor.sort} +{ editor empty$ + { key empty$ + { "to sort, need editor or key in " cite$ * warning$ + "" + } + { key sortify } + if$ + } + { editor sort.format.names } + if$ +} + +FUNCTION {presort} +{ calc.label + label sortify + " " + * + type$ "book" = + type$ "inbook" = + or + type$ "issue" = %%%KCB: need for new entry type + or %%%KCB + 'author.editor.sort + { type$ "proceedings" = + 'editor.sort + 'author.sort + if$ + } + if$ + #1 entry.max$ substring$ + 'sort.label := + sort.label + * + " " + * + title field.or.null + sort.format.title + * + #1 entry.max$ substring$ + 'sort.key$ := +} + +ITERATE {presort} + +SORT + +STRINGS { last.label next.extra } + +INTEGERS { last.extra.num } + +FUNCTION {initialize.extra.label.stuff} +{ #0 int.to.chr$ 'last.label := + "" 'next.extra := + #0 'last.extra.num := +} + +FUNCTION {forward.pass} +{ last.label label = + { last.extra.num #1 + 'last.extra.num := + last.extra.num int.to.chr$ 'extra.label := + } + { "a" chr.to.int$ 'last.extra.num := + "" 'extra.label := + label 'last.label := + } + if$ +} + +FUNCTION {reverse.pass} +{ next.extra "b" = + { "a" 'extra.label := } + 'skip$ + if$ + extra.label 'next.extra := +} + +EXECUTE {initialize.extra.label.stuff} + +EXECUTE {init.prev.name} %%%KCB: needed for replacing repeated authors + +ITERATE {forward.pass} + +REVERSE {reverse.pass} + +FUNCTION {bib.sort.order} +{ sort.label + " " + * + year field.or.null sortify + * + " " + * + title field.or.null + sort.format.title + * + #1 entry.max$ substring$ + 'sort.key$ := + calc.short.label +%%%KCB: removed calc.long.label +} + +ITERATE {bib.sort.order} + +SORT + +FUNCTION {begin.bib} +{ preamble$ empty$ + 'skip$ + { preamble$ write$ newline$ } + if$ +%%%KCB: add defn of \BySame, can be overridden in document +"\ifx\undefined\BySame" write$ newline$ + "\newcommand{\BySame}{\leavevmode\rule[.5ex]{3em}{.5pt}\ }" + write$ newline$ + "\fi" write$ newline$ +%%% KCB: For those who still cling to LaTeX 2.09 +"\ifx\undefined\textsc" write$ newline$ + "\newcommand{\textsc}[1]{{\sc #1}}" + write$ newline$ + "\newcommand{\emph}[1]{{\em #1\/}}" + write$ newline$ +"\let\tmpsmall\small" write$ newline$ +"\renewcommand{\small}{\tmpsmall\sc}" write$ newline$ + "\fi" write$ newline$ +%%% + "\begin{thebibliography}{}" write$ newline$ +} + +EXECUTE {begin.bib} + +EXECUTE {init.state.consts} + +ITERATE {call.type$} + +FUNCTION {end.bib} +{ newline$ + "\end{thebibliography}" write$ newline$ +"Done." top$ %%%KCB: Signal end for NeXTeX's TexView +} + +EXECUTE {end.bib} +%% End of customized bst file diff --git a/proposal/proposal_css.aux b/proposal/proposal_css.aux new file mode 100644 index 000000000..4f5b589c5 --- /dev/null +++ b/proposal/proposal_css.aux @@ -0,0 +1,30 @@ +\relax +\providecommand\hyper@newdestlabel[2]{} +\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument} +\HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined +\global\let\oldcontentsline\contentsline +\gdef\contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}} +\global\let\oldnewlabel\newlabel +\gdef\newlabel#1#2{\newlabelxx{#1}#2} +\gdef\newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}} +\AtEndDocument{\ifx\hyper@anchor\@undefined +\let\contentsline\oldcontentsline +\let\newlabel\oldnewlabel +\fi} +\fi} +\global\let\hyper@last\relax +\gdef\HyperFirstAtBeginDocument#1{#1} +\providecommand\HyField@AuxAddToFields[1]{} +\providecommand\HyField@AuxAddToCoFields[2]{} +\bibstyle{economet} +\select@language{english} +\@writefile{toc}{\select@language{english}} +\@writefile{lof}{\select@language{english}} +\@writefile{lot}{\select@language{english}} +\citation{Erdos1959} +\citation{Georg2014} +\citation{Gai2010} +\bibdata{bib} +\bibcite{Erdos1959}{{1}{1959}{{Erd\H {o}s and R\'{e}nyi}}{{Erd\H {o}s and R\'{e}nyi}}} +\bibcite{Gai2010}{{2}{2010}{{Gai and Kapadia}}{{Gai and Kapadia}}} +\bibcite{Georg2014}{{3}{2014}{{Georg and Gabrieli}}{{Georg and Gabrieli}}} diff --git a/proposal/proposal_css.bbl b/proposal/proposal_css.bbl new file mode 100644 index 000000000..79e845171 --- /dev/null +++ b/proposal/proposal_css.bbl @@ -0,0 +1,25 @@ +\ifx\undefined\BySame +\newcommand{\BySame}{\leavevmode\rule[.5ex]{3em}{.5pt}\ } +\fi +\ifx\undefined\textsc +\newcommand{\textsc}[1]{{\sc #1}} +\newcommand{\emph}[1]{{\em #1\/}} +\let\tmpsmall\small +\renewcommand{\small}{\tmpsmall\sc} +\fi +\begin{thebibliography}{} + +\harvarditem[Erd\H{o}s and R\'{e}nyi]{Erd\H{o}s and R\'{e}nyi}{1959}{Erdos1959} +\textsc{Erd\H{o}s, P., {\small and} A.~R\'{e}nyi} (1959): ``On random graphs + I,'' \emph{Publ. Math. Debrecen}, 6, 290--297. + +\harvarditem[Gai and Kapadia]{Gai and Kapadia}{2010}{Gai2010} +\textsc{Gai, P., {\small and} S.~Kapadia} (2010): ``Contagion in Financial + Networks,'' \emph{Proceedings of the Royal Society of London A: Mathematical, + Physical and Engineering Sciences}, pp. 2401--2423. + +\harvarditem[Georg and Gabrieli]{Georg and Gabrieli}{2014}{Georg2014} +\textsc{Georg, C.-P., {\small and} S.~Gabrieli} (2014): ``A network view on + interbank market freezes,'' Discussion paper, Banque de France. + +\end{thebibliography} diff --git a/proposal/proposal_css.blg b/proposal/proposal_css.blg new file mode 100644 index 000000000..69865755e --- /dev/null +++ b/proposal/proposal_css.blg @@ -0,0 +1,4 @@ +This is BibTeX, Version 0.99dThe top-level auxiliary file: proposal_css.aux +The style file: economet.bst +Database file #1: bib.bib +Done. diff --git a/proposal/proposal_css.log b/proposal/proposal_css.log new file mode 100644 index 000000000..27aeec9b1 --- /dev/null +++ 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words of extra memory for PDF output out of 10000 (max. 10000000) + diff --git a/proposal/proposal_css.out b/proposal/proposal_css.out new file mode 100644 index 000000000..e69de29bb diff --git a/proposal/proposal_css.tex b/proposal/proposal_css.tex new file mode 100644 index 000000000..412ca103c --- /dev/null +++ b/proposal/proposal_css.tex @@ -0,0 +1,87 @@ +\documentclass[12pt,a4paper,oneside]{article} %koma-script +\usepackage[english]{babel} +\usepackage{lmodern} +\usepackage[T1]{fontenc} +\usepackage[utf8]{inputenc} +\usepackage{lineno} +\usepackage{setspace} +\usepackage[backref=false,colorlinks,hyperfootnotes=true,linktoc=all,citecolor=blue,linkcolor=blue,urlcolor=blue]{hyperref} +\usepackage{natbib} +\usepackage{amsmath,amssymb} +\bibliographystyle{economet} + +\begin{document} +\spacing{1.5} +\begin{center} +\hrule \vspace{0.4cm} +{\LARGE \bfseries Modelling Contagion in a Core-Periphery + Financial Network \\[0.4cm] } +\hrule \vspace{0.4cm} +Marion Deichmann\footnote{\href{mailto:mariond@student.ethz.ch}{mariond@student.ethz.ch}}, + Laurenz Kaiser\footnote{\href{mailto:laurenz.kaiser@uzh.ch}{laurenz.kaiser@uzh.ch}}, + Timo Schäfer\footnote{\href{mailto:schatimo@student.ethz.ch}{schatimo@student.ethz.ch}} \\[0.1cm] +Proposal for Modelling and Simulating Social Systems with MATLAB \\[0.1cm] ETH Zürich \\[0.1cm] \today +\end{center} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\section*{General Introduction} +\noindent Especially after the collapse of Lehman in 2008 researchers and policy +makers have shifted their focus towards the interconnectedness of +financial intermediaries regarding interbank lending. It has been shown that the default of a bank +can trigger other banks' failure via the network structure [source!]. Since then global discussions regarding +capital requirements and banking regulations have emerged, i.e. Basel III, Volcker Rule, Liikanen +report, UK Whitebook. All these measures aim to decrease the +probability of default of banks and hence, to reduce contagion +w.r.t. financial distress. + +\section*{Fundamental Questions} +In our seminar paper, we aim to determine how regulatory policies +on banks can lower contagion risks. First, we examine the impact of +increased capital buffers. Second, we simulate whether bail-out +strategies can impede contagion, i.e. randomly choosing which bank to +save or more specifically, target the most central bank. Furthermore, +it would be interesting to conduct a counterfactual analysis comparing +saving or not saving banks. + +\section*{Model and Research Methods} +Our analysis is based on a random graph exhibiting stylized facts of the +actual European financial network. For this purpose, we will use a +\cite{Erdos1959} random graph model with core-periphery +structure. \cite{Georg2014} finds that the joint European interbank market +can best described as a network of connected core-periphery networks +since the latter can be found on a national bank level. + +Let us assume that the total assets of each bank $i$ consist of +interbank assets, $A_i^{IB}$, and illiquid external assets +(i.e. mortgages), $A_i^M$. Further, the total interbank assets are +equally distributed across all incoming links. Bank $i$'s total +liabilities consist of interbank liabilities, $L_i^{IB}$, that are +endogenously determined and of exogenous customer deposits, +$D_i$. Using these notations, one can define the necessary condition +for bank $i$ to be solvent \citep{Gai2010}: +\begin{equation} +(1-\alpha)A_i^{IB}+qA_i^M-L_i^{IB}-D_i>0 +\end{equation} +with $\alpha$ being the fraction of bank $i$'s counterparties with +obligations to $i$ that have defaulted assuming a recovery rate of zero, and $q$ is the resale price of the illiquid asset that is <1 in the case of 'fire sales'. +First, we build random graph model as described above. Second, we run +a Monte Carlo simulation on the random variables $A_i^{IB}$ and +$A_i^{M}$ respectively to get the numerical results. By construction, the means for the random +variables for core and periphery banks differ significantly. Third, +using this methodology we hope to be able to infer policy implications. + +\section*{Expected Results} +We expect that for increased capital buffers the frequency of +contagion is more significantly reduced for core banks relative to +periphery banks. Similarly, we expect that saving a core bank reduces the extent of contagion more effectively than saving a periphery bank. + + + +%zero recovery assumption, variation in amount borrowed ($A_{IB}$), \#counterparties, betweenness centrality, +%eigenvector centrality +%defaulting bank is randomly selected... how to be incorporate this assumption? + + + +\bibliography{bib} +\end{document} \ No newline at end of file diff --git a/proposal/proposal_css.tex~ b/proposal/proposal_css.tex~ new file mode 100644 index 000000000..19a944630 --- /dev/null +++ b/proposal/proposal_css.tex~ @@ -0,0 +1,87 @@ +\documentclass[12pt,a4paper,oneside]{article} %koma-script +\usepackage[english]{babel} +\usepackage{lmodern} +\usepackage[T1]{fontenc} +\usepackage[utf8]{inputenc} +\usepackage{lineno} +\usepackage{setspace} +\usepackage[backref=false,colorlinks,hyperfootnotes=true,linktoc=all,citecolor=blue,linkcolor=blue,urlcolor=blue]{hyperref} +\usepackage{natbib} +\usepackage{amsmath,amssymb} +\bibliographystyle{economet} + +\begin{document} +\spacing{1.5} +\begin{center} +\hrule \vspace{0.4cm} +{\LARGE \bfseries Modelling Contagion in a Core-Periphery + Financial Network \\[0.4cm] } +\hrule \vspace{0.4cm} +Marion Deichmann\footnote{\href{mailto:mariond@student.ethz.ch}{mariond@student.ethz.ch}}, + Laurenz Kaiser\footnote{\href{mailto:laurenz.kaiser@uzh.ch}{laurenz.kaiser@uzh.ch}}, + Timo Schäfer\footnote{\href{mailto:schatimo@student.ethz.ch}{schatimo@student.ethz.ch}} \\[0.1cm] +Proposal for Modelling and Simulating Social Systems with MATLAB \\[0.1cm] ETH Zürich \\[0.1cm] \today +\end{center} +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + +\section*{General Introduction} +\noindent Especially after the collapse of Lehman in 2008 researchers and policy +makers have shifted their focus towards the interconnectedness of +financial intermediaries regarding interbank lending. It has been shown that the default of a bank +can trigger other banks' failure via the network structure [source!]. Since then global discussions regarding +capital requirements have emerged, i.e. Basel III, Volcker Rule, Liikanen +report, UK Whitebook. All these measures aim to decrease the +probability of default of banks and hence, to reduce contagion +w.r.t. financial distress. + +\section*{Fundamental Questions} +In our seminar paper, we aim to determine how regulatory policies +on banks can lower contagion risks. First, we examine the impact of +increased capital buffers. Second, we simulate whether bail-out +strategies can impede contagion, i.e. randomly choosing which bank to +save or more specifically, target the most central bank. Furthermore, +it would be interesting to conduct a counterfactual analysis comparing +saving or not saving banks. + +\section*{Model and Research Methods} +Our analysis is based on a random graph exhibiting stylized facts of the +actual European financial network. For this purpose, we will use a +\cite{Erdos1959} random graph model with core-periphery +structure. \cite{Georg2014} finds that the joint European interbank market +can best described as a network of connected core-periphery networks +since the latter can be found on a national bank level. + +Let us assume that the total assets of each bank $i$ consist of +interbank assets, $A_i^{IB}$, and illiquid external assets +(i.e. mortgages), $A_i^M$. Further, the total interbank assets are +equally distributed across all incoming links. Bank $i$'s total +liabilities consist of interbank liabilities, $L_i^{IB}$, that are +endogenously determined and of exogenous customer deposits, +$D_i$. Using these notations, one can define the necessary condition +for bank $i$ to be solvent \citep{Gai2010}: +\begin{equation} +(1-\alpha)A_i^{IB}+qA_i^M-L_i^{IB}-D_i>0 +\end{equation} +with $\alpha$ being the fraction of bank $i$'s counterparties with +obligations to $i$ that have defaulted assuming a recovery rate of zero, and $q$ is the resale price of the illiquid asset that is <1 in the case of 'fire sales'. +First, we build random graph model as described above. Second, we run +a Monte Carlo simulation on the random variables $A_i^{IB}$ and +$A_i^{M}$ respectively to get the numerical results. By construction, the means for the random +variables for core and periphery banks differ significantly. Third, +using this methodology we hope to be able to infer policy implications. + +\section*{Expected Results} +We expect that for increased capital buffers the frequency of +contagion is more significantly reduced for core banks relative to +periphery banks. Similarly, we expect that saving a core bank reduces the extent of contagion more effectively than saving a periphery bank. + + + +%zero recovery assumption, variation in amount borrowed ($A_{IB}$), \#counterparties, betweenness centrality, +%eigenvector centrality +%defaulting bank is randomly selected... how to be incorporate this assumption? + + + +\bibliography{bib} +\end{document} \ No newline at end of file From 61c9cc605d87e98053e7c89a8f2acd4debc9d350 Mon Sep 17 00:00:00 2001 From: schatimo Date: Sat, 17 Oct 2015 12:29:05 +0200 Subject: [PATCH 06/27] Proposal --- proposal/proposal_css.log | 36 +++++++++++++++++++++--------------- proposal/proposal_css.pdf | Bin 197095 -> 197900 bytes proposal/proposal_css.tex | 7 ++++++- proposal/proposal_css.tex~ | 2 +- 4 files changed, 28 insertions(+), 17 deletions(-) diff --git a/proposal/proposal_css.log b/proposal/proposal_css.log index 27aeec9b1..4be30dbbd 100644 --- a/proposal/proposal_css.log +++ b/proposal/proposal_css.log @@ -1,9 +1,10 @@ -This is pdfTeX, Version 3.1415926-2.5-1.40.14 (MiKTeX 2.9 64-bit) (preloaded format=pdflatex 2015.10.13) 17 OCT 2015 11:17 +This is pdfTeX, Version 3.1415926-2.5-1.40.14 (MiKTeX 2.9 64-bit) (preloaded format=pdflatex 2015.10.13) 17 OCT 2015 12:28 entering extended mode **\input proposal_css.tex ("c:\Users\Timo Schäfer\Documents\Banking and Finance\HS 2015\Computational So -cial Sciences with Matlab\Proposal\proposal_css.tex" +cial Sciences with Matlab\Git\Modelling-Contagion-in-a-Core-Periphery-Financial +-Network\proposal\proposal_css.tex" ("C:\Program Files\MiKTeX 2.9\tex\latex\base\article.cls" Document Class: article 2007/10/19 v1.4h Standard LaTeX document class ("C:\Program Files\MiKTeX 2.9\tex\latex\base\size12.clo" @@ -521,7 +522,8 @@ LaTeX Font Info: Overwriting math alphabet `\mathfrak' in version `bold' (Font) U/euf/m/n --> U/euf/b/n on input line 106. )) ("c:\Users\Timo Schäfer\Documents\Banking and Finance\HS 2015\Computational So -cial Sciences with Matlab\Proposal\proposal_css.aux") +cial Sciences with Matlab\Git\Modelling-Contagion-in-a-Core-Periphery-Financial +-Network\proposal\proposal_css.aux") LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 13. 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By defining +$K_i=A_i^{IB}+A_i^M-L_i^{IB}-D_i$ as bank's $i$ capital buffer, we can +examine effects of particular levels of capital buffers on the spread +of contagion. First, we build random graph model as described above. Second, we run a Monte Carlo simulation on the random variables $A_i^{IB}$ and $A_i^{M}$ respectively to get the numerical results. By construction, the means for the random diff --git a/proposal/proposal_css.tex~ b/proposal/proposal_css.tex~ index 19a944630..412ca103c 100644 --- a/proposal/proposal_css.tex~ +++ b/proposal/proposal_css.tex~ @@ -29,7 +29,7 @@ Proposal for Modelling and Simulating Social Systems with MATLAB \\[0.1cm] ETH Z makers have shifted their focus towards the interconnectedness of financial intermediaries regarding interbank lending. It has been shown that the default of a bank can trigger other banks' failure via the network structure [source!]. Since then global discussions regarding -capital requirements have emerged, i.e. Basel III, Volcker Rule, Liikanen +capital requirements and banking regulations have emerged, i.e. Basel III, Volcker Rule, Liikanen report, UK Whitebook. All these measures aim to decrease the probability of default of banks and hence, to reduce contagion w.r.t. financial distress. From ec550201b4a9ef41cbe7f9564ec4eecc8351174b Mon Sep 17 00:00:00 2001 From: schatimo Date: Sat, 17 Oct 2015 12:30:14 +0200 Subject: [PATCH 07/27] Proposal --- proposal/proposal_css.log | 4 ++-- proposal/proposal_css.pdf | Bin 197900 -> 197887 bytes proposal/proposal_css.tex | 2 +- 3 files changed, 3 insertions(+), 3 deletions(-) diff --git a/proposal/proposal_css.log b/proposal/proposal_css.log index 4be30dbbd..d0441fb6a 100644 --- a/proposal/proposal_css.log +++ b/proposal/proposal_css.log @@ -1,4 +1,4 @@ -This is pdfTeX, Version 3.1415926-2.5-1.40.14 (MiKTeX 2.9 64-bit) (preloaded format=pdflatex 2015.10.13) 17 OCT 2015 12:28 +This is pdfTeX, Version 3.1415926-2.5-1.40.14 (MiKTeX 2.9 64-bit) (preloaded format=pdflatex 2015.10.13) 17 OCT 2015 12:30 entering extended mode **\input proposal_css.tex @@ -678,7 +678,7 @@ ogram Files/MiKTeX 2.9/fonts/type1/public/lm/lmr7.pfb> -Output written on proposal_css.pdf (3 pages, 197900 bytes). +Output written on proposal_css.pdf (3 pages, 197887 bytes). 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zmhV%u?cMX(y7m~YUe`6GHCXBPTsdHqzc?}?z<1-wSJ=8xWw@kog0F%qpkPyg13tiE z(~Nv2Bx5g+rx3L*I6j+~n9Y;Bn9Y-~7*K#9G}C`ro#oLqvj z89NsvAkGkQK+vo}K%o%Zk_-kY*7O+_aIPg84(@vxI;LX?V%}pc@wq_yOLruNab%?+ zf>SjG0fOBf1rSbwB+f2|Q5wd^7C53mN&I&izM3aVBAj`WB*nrQzccA$i(xPlPZobCu18oRS28w(={o0wu&k*y#_FqeBQF+d;~{Rg8zUwsB7A(k`% zrBI9|A%hVRix?09 Date: Sat, 17 Oct 2015 12:48:53 +0200 Subject: [PATCH 09/27] proposal --- README.md | 2 +- flashtalk/README.md | 3 - proposal/bib.bib | 53 -- proposal/bib.bib.bak | 53 -- proposal/economet.bst | 1292 ------------------------------------ proposal/proposal_css.aux | 30 - proposal/proposal_css.bbl | 25 - proposal/proposal_css.blg | 4 - proposal/proposal_css.log | 686 ------------------- proposal/proposal_css.out | 0 proposal/proposal_css.pdf | Bin 197892 -> 0 bytes proposal/proposal_css.tex | 92 --- proposal/proposal_css.tex~ | 87 --- 13 files changed, 1 insertion(+), 2326 deletions(-) delete mode 100644 flashtalk/README.md delete mode 100644 proposal/bib.bib delete mode 100644 proposal/bib.bib.bak delete mode 100644 proposal/economet.bst delete mode 100644 proposal/proposal_css.aux delete mode 100644 proposal/proposal_css.bbl delete mode 100644 proposal/proposal_css.blg delete mode 100644 proposal/proposal_css.log delete mode 100644 proposal/proposal_css.out delete mode 100644 proposal/proposal_css.pdf delete mode 100644 proposal/proposal_css.tex delete mode 100644 proposal/proposal_css.tex~ diff --git a/README.md b/README.md index 77d2a4678..0e0924aba 100644 --- a/README.md +++ b/README.md @@ -1,7 +1,7 @@ # MATLAB Fall 2015 – Research Plan > * Group Name: destructive -> * Group participants names: Deichmann, Marion; Kaiser, Lorenz; Schäfer, Timo +> * Group participants names: Deichmann, Marion; Kaiser, Laurent; Schäfer, Timo > * Project Title: Modelling Contagion in a Core Periphery Financial Network ## General Introduction diff --git a/flashtalk/README.md b/flashtalk/README.md deleted file mode 100644 index 7eee58b3e..000000000 --- a/flashtalk/README.md +++ /dev/null @@ -1,3 +0,0 @@ -# Flash Talk Folder - -Put a PDF with a single slide for your flash talk here. diff --git a/proposal/bib.bib b/proposal/bib.bib deleted file mode 100644 index 18d85e438..000000000 --- a/proposal/bib.bib +++ /dev/null @@ -1,53 +0,0 @@ -% This file was created with JabRef 2.10. -% Encoding: Cp1252 - - -@Article{Erdos1959, - Title = {On random graphs I}, - Author = {Erd\H{o}s, P and R\'{e}nyi, A}, - Journal = {Publ. Math. Debrecen}, - Year = {1959}, - Pages = {290-297}, - Volume = {6} -} - -@Article{Gai2010, - Title = {Contagion in Financial Networks}, - Author = {Gai, Prasanna and Kapadia, Sujit}, - Journal = {Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences}, - Year = {2010}, - Pages = {2401-2423}, - - Organization = {The Royal Society} -} - -@TechReport{Georg2014, - Title = {A network view on interbank market freezes}, - Author = {Georg, Co-Pierre and Silvia Gabrieli}, - Institution = {Banque de France}, - Year = {2014} -} - -@Article{Lux2015, - Title = {Emergence of a core-periphery structure in a simple dynamic model of the interbank market}, - Author = {Lux, Thomas}, - Journal = {Journal of Economic Dynamics and Control}, - Year = {2015}, - Pages = {11-23}, - Volume = {52}, - - Publisher = {Elsevier} -} - -@Article{Watts1998, - Title = {Collective dynamics of 'small-world' networks}, - Author = {Watts, Duncan J and Strogatz, Steven H}, - Journal = {nature}, - Year = {1998}, - Number = {6684}, - Pages = {440-442}, - Volume = {393}, - - Publisher = {Nature Publishing Group} -} - diff --git a/proposal/bib.bib.bak b/proposal/bib.bib.bak deleted file mode 100644 index 18d85e438..000000000 --- a/proposal/bib.bib.bak +++ /dev/null @@ -1,53 +0,0 @@ -% This file was created with JabRef 2.10. -% Encoding: Cp1252 - - -@Article{Erdos1959, - Title = {On random graphs I}, - Author = {Erd\H{o}s, P and R\'{e}nyi, A}, - Journal = {Publ. Math. Debrecen}, - Year = {1959}, - Pages = {290-297}, - Volume = {6} -} - -@Article{Gai2010, - Title = {Contagion in Financial Networks}, - Author = {Gai, Prasanna and Kapadia, Sujit}, - Journal = {Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences}, - Year = {2010}, - Pages = {2401-2423}, - - Organization = {The Royal Society} -} - -@TechReport{Georg2014, - Title = {A network view on interbank market freezes}, - Author = {Georg, Co-Pierre and Silvia Gabrieli}, - Institution = {Banque de France}, - Year = {2014} -} - -@Article{Lux2015, - Title = {Emergence of a core-periphery structure in a simple dynamic model of the interbank market}, - Author = {Lux, Thomas}, - Journal = {Journal of Economic Dynamics and Control}, - Year = {2015}, - Pages = {11-23}, - Volume = {52}, - - Publisher = {Elsevier} -} - -@Article{Watts1998, - Title = {Collective dynamics of 'small-world' networks}, - Author = {Watts, Duncan J and Strogatz, Steven H}, - Journal = {nature}, - Year = {1998}, - Number = {6684}, - Pages = {440-442}, - Volume = {393}, - - Publisher = {Nature Publishing Group} -} - diff --git a/proposal/economet.bst b/proposal/economet.bst deleted file mode 100644 index 1ebf5065b..000000000 --- a/proposal/economet.bst +++ /dev/null @@ -1,1292 +0,0 @@ -%%% Econometrica bibliography style -%%% For use with harvard.sty and LaTeX2e (NFSS) or LaTeX 2.09 -%%% 24-aug-94 -%%% -%%% Based on makebst, but with modifications by -%%% kcb@hss.caltech.edu (KC Border) -%%% Please report any problems to me. -%%% -%%% The main changes from the ouput of makebst are: -%%% 1. Addition of a function to replace repeated authors with a 3 em dash. -%%% (Search for compare.names, this function is portable.) -%%% 2. Modification of output.nonnull to allow commas inside quotation marks -%%% and no comma after year. -%%% 3.Eliminated feature (bug?) of the harvard style of citation. -%%% It creates a short label for subsequent citations. This alleged -%%% feature shortens both Aliprantis, Border, and Luxemburg (1991) and -%%% Aliprantis, Brown, and Burkinshaw (1991) to Aliprantis et~al. (1991). -%%% This creates the need to label these as -%%% Aliprantis, Border, and Luxemburg (1991a) and -%%% Aliprantis, Brown, and Burkinshaw (1991b), despite the fact -%%% that these entries have different authors. I used my own format -%%% for creating the labels, and used the same label for -%%% both the short and long forms. I know that the -%%% _Chicago_Manual_of_Style recommends using Aliprantis et~al, -%% but Econometrica regularly writes out three authors, -%% and it is rare to cite an article with more than four authors in -%%% Econometrica. (I couldn't find an example of even four being cited, -%%% but I didn't spend a lot of time looking.) -%%% 4. Addition of macros to handle editions. (My own idiosycracy.) -%%% 5. A new entry type called issue for special issues of a journal. -%%% (Another idiosyncracy.) -%%% 6. Many details to conform to Econometrica's quirks. -%%% (Search for KCB ) -%%% 7. I wrote this for use with LaTeX2e and the NFSS2. However, I did -%%% add some macros so it will work with LaTeX 2.09. -%%% (Search for \ifx\undefined\emph ) -%%% The remainder of this file was generated by makebst, except for -%%% modifications marked with KCB. -%% -%% This is file `em.bst', generated -%% on <1994/8/17> with the docstrip utility (2.2h). -%% -%% The original source files were: -%% -%% genbst.mbs (with options: `ay,har,nm-rev1,nmft-sc,dt-beg,yr-par,tit-qq,atit-u,thtit-a,volp-com,edby,blk-com,pp,ed,abr,and-com,nfss') -%% ---------------------------------------- -%% *** Econometrica style *** -%% -%% (Here are the specifications of the source file) -%% \def\filename{genbst.mbs} -%% \def\filedate{1994 July 1} -%% \def\fileversion{1.3} -%% For use with BibTeX version 0.99a or later, LaTeX version 2.09 -%%------------------------------------------------------------------- -%% NOTICE: -%% This file may be used for non-profit purposes. -%% It may not be distributed in exchange for money, -%% other than distribution costs. -%% -%% The author provides it `as is' and does not guarantee it in any way. -%% -%% Copyright (C) 1994 Patrick W. Daly -%% Max-Planck-Institut f\"ur Aeronomie -%% Postfach 20 -%% D-37189 Katlenburg-Lindau -%% Germany -%% -%% E-mail: -%% SPAN-- nsp::linmpi::daly (note nsp also known as ecd1) -%% Internet-- daly@linmpi.dnet.gwdg.de -%%----------------------------------------------------------- -%% \CharacterTable -%% {Upper-case \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z -%% Lower-case \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z -%% Digits \0\1\2\3\4\5\6\7\8\9 -%% Exclamation \! Double quote \" Hash (number) \# -%% Dollar \$ Percent \% Ampersand \& -%% Acute accent \' Left paren \( Right paren \) -%% Asterisk \* Plus \+ Comma \, -%% Minus \- Point \. Solidus \/ -%% Colon \: Semicolon \; Less than \< -%% Equals \= Greater than \> Question mark \? -%% Commercial at \@ Left bracket \[ Backslash \\ -%% Right bracket \] Circumflex \^ Underscore \_ -%% Grave accent \` Left brace \{ Vertical bar \| -%% Right brace \} Tilde \~} -%%--------------------------------------------------------------------- - % This is an author-year citation style bibliography. As such, it is - % non-standard LaTeX, and requires a style option to function properly. - % The appropriate style file is: harvard.sty - % The form of the bibitem entries is - % \harvarditem[Jones et al.]{Jones, Baker, and Smith}{1990}{key}... - % There are style changes that may be specified in the text with - % the command \citationstyle. - % \citeasnoun{key} ==>> Jones et al. (1990) - % \cite{key} ==>> (Jones et al. 1990) - % \cite[chap. 2]{key} ==>> (Jones et al. 1990, chap. 2) - % On the first citation of any work, the full author list is used. -%%--------------------------------------------------------------------- - -ENTRY - { address - author - booktitle - chapter - edition - editor - howpublished - institution - journal - key - month - note - number - organization - pages - publisher - school - series - title - type - volume - year - } - {} - { label extra.label sort.label } %%%KCB: removed long.label - -INTEGERS { output.state before.all mid.sentence after.sentence after.block } - -%%%KCB: new output state, no.comma -INTEGERS { no.comma} - -FUNCTION {init.state.consts} -{ #0 'before.all := - #1 'mid.sentence := - #2 'after.sentence := - #3 'after.block := - #4 'no.comma := %%%KCB -} - -STRINGS { s t } - - -%%%KCB: revise to use new output state -FUNCTION {output.nonnull} -{ 's := - output.state no.comma = %%%KCB: if in this state, write a space - { " " * write$ before.all 'output.state := } %%%KCB - { output.state mid.sentence = %%%KCB: add brace at beginning - { ", " * write$ } - { output.state after.block = - { add.period$ write$ - newline$ - "\newblock " write$ - } - { output.state before.all = - 'write$ - { add.period$ " " * write$ } - if$ - } - if$ - } - if$ - mid.sentence 'output.state := - } %%%KCB: matching brace - if$ %%%KCB: test for no.comma state - s -} - -FUNCTION {output} -{ duplicate$ empty$ - 'pop$ - 'output.nonnull - if$ -} - -FUNCTION {output.check} -{ 't := - duplicate$ empty$ - { pop$ "empty " t * " in " * cite$ * warning$ } - 'output.nonnull - if$ -} - -FUNCTION {output.bibitem} -{ newline$ - "\harvarditem[" write$ - label write$ - "]{" label * "}{" * write$ %%%KCB: replaced long.label with label - year duplicate$ empty$ - { pop$ "????" } - 'skip$ - if$ - extra.label * "}{" * write$ - cite$ write$ - "}" write$ - newline$ - "" - before.all 'output.state := -} - -FUNCTION {fin.entry} -{ add.period$ - write$ - newline$ -} - -FUNCTION {new.block} -{ output.state before.all = - 'skip$ - { after.block 'output.state := } - if$ -} - -FUNCTION {new.sentence} -{ output.state after.block = - 'skip$ - { output.state before.all = - 'skip$ - { after.sentence 'output.state := } - if$ - } - if$ -} - -FUNCTION {not} -{ { #0 } - { #1 } - if$ -} - -FUNCTION {and} -{ 'skip$ - { pop$ #0 } - if$ -} - -FUNCTION {or} -{ { pop$ #1 } - 'skip$ - if$ -} - -FUNCTION {new.block.checkb} -{ empty$ - swap$ empty$ - and - 'skip$ - 'new.block - if$ -} - -FUNCTION {field.or.null} -{ duplicate$ empty$ - { pop$ "" } - 'skip$ - if$ -} - -FUNCTION {emphasize} -{ duplicate$ empty$ - { pop$ "" } - { "\emph{" swap$ * "}" * } - if$ -} - -INTEGERS { nameptr namesleft numnames } - -%%%KCB: Here is a portable set of routines to check for repeated authors -%%% and replace them with a 3 em dash -%%% According to _Chicago_Manual_of_Style_, a dash is used to -%%% replace an author's name only if the entire list is the same, so: -%%% Compare names. See if prev.name is identical to CurrList. -%%% If not, then just output CurrList. -%%% If so, replace with \BySame -%%% I use a conservative matching scheme, -%%% and check to see if full names are identical, -%%% even though we only use initials. -%%% This may mean that you have to correct your .bib database -%%% to ensure consistency. -%%% -%%% sample usage: -%%% search for {format.author} - -INTEGERS {currNum prevNum} - -STRINGS {PrevList CurrList prev.name PrevTemp CurrTemp} - -%%%KCB: Initialize prev.name ot some nonsense string: - -FUNCTION {init.prev.name} -{ -"My puppy Harley" 'prev.name := -} - -%%%KCB: Must EXECUTE {init.prev.name} after READ - -%%%KCB: compare.names -FUNCTION {compare.names} -{ prev.name 'PrevList := - duplicate$ 'prev.name := % make current list the new previous list - 'CurrList := - PrevList num.names$ 'prevNum := - CurrList num.names$ 'currNum := -% - prevNum currNum = %% If prevNum = currNum - { "" 'PrevTemp := %% Then take this branch - "" 'CurrTemp := - #1 'nameptr := %%% start with first name in each list - { nameptr prevNum > not }%% while nameptr <= prevNum -%% Format both lists the same way. -%% Use full names: bib file might need to be corrected - { - PrevList nameptr "{ff }{vv~}{ll}{ jj}" format.name$ PrevTemp * 'PrevTemp := - CurrList nameptr "{ff }{vv~}{ll}{ jj}" format.name$ CurrTemp * 'CurrTemp := - nameptr #1 + 'nameptr := } - while$ -%% Now compare : - PrevTemp CurrTemp = %% If PrevTemp = CurrTemp - { "\BySame{}" } - { CurrList } - if$ - } - { CurrList } %% If not prevNum = currNum - if$ %% If prevNum = currNum -} - -%%% -%%% -%%%KCB: End of new routine. - - -FUNCTION {format.names} -{ 's := - #1 'nameptr := - s num.names$ 'numnames := - numnames 'namesleft := - { namesleft #0 > } - { nameptr #1 > - { s nameptr "{f.~}{vv~}{ll}{, jj}" format.name$ 't := } - { s nameptr "{vv~}{ll}{, jj}{, f.}" format.name$ 't := } - if$ - nameptr #1 > - { - namesleft #1 > - { ", " * t * } - { - ", " * - t "others" = - { " et~al." * } - { " {\small and} " * t * } %%%KCB: added \small - if$ - } - if$ - } - 't - if$ - nameptr #1 + 'nameptr := - namesleft #1 - 'namesleft := - } - while$ -} - - -FUNCTION {format.names.ed} -{ 's := - #1 'nameptr := - s num.names$ 'numnames := - numnames 'namesleft := - { namesleft #0 > } - { s nameptr - "{f.~}{vv~}{ll}{, jj}" - format.name$ 't := - nameptr #1 > - { - namesleft #1 > - { ", " * t * } - { - ", " * - t "others" = - { " et~al." * } - { " {\small and} " * t * } %%%KCB: added \small - if$ - } - if$ - } - 't - if$ - nameptr #1 + 'nameptr := - namesleft #1 - 'namesleft := - } - while$ -} - -FUNCTION {format.key} -{ empty$ - { key field.or.null } - { "" } - if$ -} - -FUNCTION {format.authors} -{ author empty$ - { "" } - { "\textsc{" author compare.names format.names * "} " * } - if$ -} - -FUNCTION {format.editors} -{ editor empty$ - { "" } - { "\textsc{" editor compare.names format.names * " }" * - editor num.names$ #1 > - { " (eds.)" * } - { " (ed.)" * } - if$ - } - if$ -} - -FUNCTION {format.in.editors} -{ editor empty$ - { "" } - { editor format.names.ed - } - if$ -} - -FUNCTION {format.title} -{ title empty$ - { "" } - { title - "``" swap$ * ",'' " * - } -no.comma 'output.state := %%%KCB: - if$ -} - -FUNCTION {n.dashify} -{ 't := - "" - { t empty$ not } - { t #1 #1 substring$ "-" = - { t #1 #2 substring$ "--" = not - { "--" * - t #2 global.max$ substring$ 't := - } - { { t #1 #1 substring$ "-" = } - { "-" * - t #2 global.max$ substring$ 't := - } - while$ - } - if$ - } - { t #1 #1 substring$ * - t #2 global.max$ substring$ 't := - } - if$ - } - while$ -} - -FUNCTION {word.in} -{ "in " } - -FUNCTION {format.date} -{ year duplicate$ empty$ - { "empty year in " cite$ * "; set to ????" * warning$ - pop$ "????" } - 'skip$ - if$ - " (" swap$ * extra.label * "):" * %%%KCB: added : - before.all 'output.state := %%%KCB: -} - -FUNCTION {format.btitle} -{ title emphasize -no.comma 'output.state := %%%KCB: -} - -FUNCTION {tie.or.space.connect} -{ duplicate$ text.length$ #3 < - { "~" } - { " " } - if$ - swap$ * * -} - -FUNCTION {either.or.check} -{ empty$ - 'pop$ - { "can't use both " swap$ * " fields in " * cite$ * warning$ } - if$ -} - -FUNCTION {format.bvolume} -{ volume empty$ - { "" } - { "vol." volume tie.or.space.connect - series empty$ - 'skip$ - { " of " * series emphasize * } - if$ - "volume and number" number either.or.check - } - if$ -} - -FUNCTION {format.number.series} -{ volume empty$ - { number empty$ - { series field.or.null } - { output.state mid.sentence = - { "no." } - { "No." } - if$ - number tie.or.space.connect - series empty$ - { "there's a number but no series in " cite$ * warning$ } - { " in " * series * } - if$ - } - if$ - } - { "" } - if$ -} - -FUNCTION {format.edition} -{ edition empty$ - { "" } - { output.state mid.sentence = - { edition "l" change.case$ " edn." * } - { edition "t" change.case$ " edn." * } - if$ - } - if$ -} - -INTEGERS { multiresult } - -FUNCTION {multi.page.check} -{ 't := - #0 'multiresult := - { multiresult not - t empty$ not - and - } - { t #1 #1 substring$ - duplicate$ "-" = - swap$ duplicate$ "," = - swap$ "+" = - or or - { #1 'multiresult := } - { t #2 global.max$ substring$ 't := } - if$ - } - while$ - multiresult -} - -FUNCTION {format.pages} -{ pages empty$ - { "" } - { pages multi.page.check - { "pp." pages n.dashify tie.or.space.connect } - { "p." pages tie.or.space.connect } - if$ - } - if$ -} - -FUNCTION {format.vol.num.pages} -{ volume field.or.null - number empty$ - 'skip$ - { "(" number * ")" * * - volume empty$ - { "there's a number but no volume in " cite$ * warning$ } - 'skip$ - if$ - } - if$ - pages empty$ - 'skip$ - { duplicate$ empty$ - { pop$ format.pages } - { ", " * pages n.dashify * } - if$ - } - if$ -} - -FUNCTION {format.chapter.pages} -{ chapter empty$ - 'format.pages - { type empty$ - { "chap." } - { type "l" change.case$ } - if$ - chapter tie.or.space.connect - pages empty$ - 'skip$ - { ", " * format.pages * } - if$ - } - if$ -} - -FUNCTION {format.in.ed.booktitle} -{ booktitle empty$ - { "" } - { editor empty$ - { word.in booktitle emphasize * } - { word.in booktitle emphasize * ", ed. by " * %%%KCB: abbrv ed. - format.in.editors * } - if$ - } - if$ -} - -FUNCTION {format.thesis.type} -{ type empty$ - 'skip$ - { pop$ - type "t" change.case$ - } - if$ -} - -FUNCTION {format.tr.number} -{ type empty$ - { "Discussion Paper" } %%%KCB: changed default - 'type - if$ - number empty$ - { "t" change.case$ } - { number tie.or.space.connect } - if$ -} - -FUNCTION {format.article.crossref} -{ - word.in - "\cite{" * crossref * "}" * -} - -FUNCTION {format.book.crossref} -{ volume empty$ - { "empty volume in " cite$ * "'s crossref of " * crossref * warning$ - word.in - } - { "vol." volume tie.or.space.connect - " of " * - } - if$ - "\cite{" * crossref * "}" * -} - -FUNCTION {format.incoll.inproc.crossref} -{ - word.in - "\cite{" * crossref * "}" * -} - -FUNCTION {article} -{ output.bibitem - format.authors "author" output.check - author format.key output - format.date "year" output.check - format.title "title" output.check - crossref missing$ - { journal emphasize "journal" output.check - format.vol.num.pages output - } - { format.article.crossref output.nonnull - format.pages output - } - if$ - note output - fin.entry -} - -FUNCTION {book} -{ output.bibitem - author empty$ - { format.editors "author and editor" output.check - editor format.key output - } - { format.authors output.nonnull - crossref missing$ - { "author and editor" editor either.or.check } - 'skip$ - if$ - } - if$ - format.date "year" output.check - format.btitle "title" output.check - mid.sentence 'output.state := %%%KCB: - crossref missing$ - { format.bvolume output - format.number.series output - new.sentence - publisher "publisher" output.check - address output - } - { - format.book.crossref output.nonnull - } - if$ - format.edition output - note output - fin.entry -} - -FUNCTION {booklet} -{ output.bibitem - format.authors output - author format.key output - format.date "year" output.check - format.title "title" output.check - howpublished output - address output - note output - fin.entry -} - -FUNCTION {inbook} -{ output.bibitem - author empty$ - { format.editors "author and editor" output.check - editor format.key output - } - { format.authors output.nonnull - crossref missing$ - { "author and editor" editor either.or.check } - 'skip$ - if$ - } - if$ - format.date "year" output.check - format.btitle "title" output.check - crossref missing$ - { format.bvolume output - format.chapter.pages "chapter and pages" output.check - format.number.series output - new.sentence - publisher "publisher" output.check - address output - } - { format.chapter.pages "chapter and pages" output.check - format.book.crossref output.nonnull - } - if$ - format.edition output - note output - fin.entry -} - -FUNCTION {incollection} -{ output.bibitem - format.authors "author" output.check - author format.key output - format.date "year" output.check - format.title "title" output.check - crossref missing$ - { format.in.ed.booktitle "booktitle" output.check - format.bvolume output - format.number.series output - format.chapter.pages output - new.sentence - publisher "publisher" output.check - address output - format.edition output - } - { format.incoll.inproc.crossref output.nonnull - format.chapter.pages output - } - if$ - note output - fin.entry -} - -FUNCTION {inproceedings} -{ output.bibitem - format.authors "author" output.check - author format.key output - format.date "year" output.check - format.title "title" output.check - crossref missing$ - { format.in.ed.booktitle "booktitle" output.check - format.bvolume output - format.number.series output - format.pages output - address output - new.sentence - organization output - publisher output - } - { format.incoll.inproc.crossref output.nonnull - format.pages output - } - if$ - note output - fin.entry -} - -FUNCTION {conference} { inproceedings } - -%%%KCB: special issue of a journal with a special editor - -FUNCTION {issue} -{ output.bibitem - format.editors output - editor format.key output - format.date "year" output.check - format.btitle "title" output.check - crossref missing$ - { journal emphasize "journal" output.check - format.vol.num.pages output - } - { format.article.crossref output.nonnull - format.pages output - } - if$ - note output - fin.entry -} - -FUNCTION {manual} -{ output.bibitem - format.authors output - author format.key output - format.date "year" output.check - format.btitle "title" output.check - organization output - address output - format.edition output - note output - fin.entry -} - -FUNCTION {mastersthesis} -{ output.bibitem - format.authors "author" output.check - author format.key output - format.date "year" output.check - format.title "title" output.check - "Master's thesis" format.thesis.type output.nonnull - school "school" output.check - address output - note output - fin.entry -} - -FUNCTION {misc} -{ output.bibitem - format.authors output - author format.key output - format.date "year" output.check - format.title output - howpublished output - note output - fin.entry -} - -FUNCTION {phdthesis} -{ output.bibitem - format.authors "author" output.check - author format.key output - format.date "year" output.check - format.title "title" output.check - "Ph.D. thesis" format.thesis.type output.nonnull - school "school" output.check - address output - note output - fin.entry -} - -FUNCTION {proceedings} -{ output.bibitem - format.editors output - editor format.key output - format.date "year" output.check - format.btitle "title" output.check - format.bvolume output - format.number.series output - address output - new.sentence - organization output - publisher output - note output - fin.entry -} - -FUNCTION {techreport} -{ output.bibitem - format.authors "author" output.check - author format.key output - format.date "year" output.check - format.title "title" output.check - format.tr.number output.nonnull - institution "institution" output.check - address output - note output - fin.entry -} - -FUNCTION {unpublished} -{ output.bibitem - format.authors "author" output.check - author format.key output - format.date "year" output.check - format.title "title" output.check - note "note" output.check - fin.entry -} - -FUNCTION {default.type} { misc } - -MACRO {jan} {"January"} - -MACRO {feb} {"February"} - -MACRO {mar} {"March"} - -MACRO {apr} {"April"} - -MACRO {may} {"May"} - -MACRO {jun} {"June"} - -MACRO {jul} {"July"} - -MACRO {aug} {"August"} - -MACRO {sep} {"September"} - -MACRO {oct} {"October"} - -MACRO {nov} {"November"} - -MACRO {dec} {"December"} - -%%%KCB: removed computer science journal macros -%%%KCB: added following macros for editions -MACRO {first} {"1st "} -MACRO {second} {"2d "} -MACRO {third} {"3d "} -MACRO {fourth} {"4th "} -MACRO {fifth} {"5th "} -MACRO {sixth} {"6th"} -MACRO {seventh} {"7th "} -MACRO {eighth} {"8th "} -MACRO {ninth} {"9th "} -MACRO {tenth} {"10th "} - -READ - -FUNCTION {sortify} -{ purify$ - "l" change.case$ -} - -INTEGERS { len } - -FUNCTION {chop.word} -{ 's := - 'len := - s #1 len substring$ = - { s len #1 + global.max$ substring$ } - 's - if$ -} - - -%%%KCB: Change format of labels: -FUNCTION {format.lab.names} -{ 's := - #1 'nameptr := - s num.names$ 'numnames := - numnames 'namesleft := - { namesleft #0 > } - { s nameptr "{vv~}{ll}" format.name$ 't := - nameptr #1 > - { namesleft #1 > - { ", " * t * } - { numnames #2 > - { "," * } - 'skip$ - if$ - t "others" = - { " et~al." * } - { " and " * t * } - if$ - } - if$ - } - 't - if$ - nameptr #1 + 'nameptr := - namesleft #1 - 'namesleft := - } - while$ -} - -%%%KCB: removed FUNCTION {format.long.lab.names} - -FUNCTION {author.key.label} -{ author empty$ - { key empty$ - { cite$ #1 #3 substring$ } - 'key - if$ - } - { author format.lab.names } - if$ -} - -FUNCTION {author.editor.key.label} -{ author empty$ - { editor empty$ - { key empty$ - { cite$ #1 #3 substring$ } - 'key - if$ - } - { editor format.lab.names } - if$ - } - { author format.lab.names } - if$ -} - -FUNCTION {editor.key.label} -{ editor empty$ - { key empty$ - { cite$ #1 #3 substring$ } - 'key - if$ - } - { editor format.lab.names } - if$ -} - -%%%KCB: use entire year field as label - -FUNCTION {calc.label} -{ type$ "book" = - type$ "inbook" = - or - type$ "issue" = %%%KCB: need for new entry type - or %%%KCB - 'author.editor.key.label - { type$ "proceedings" = - 'editor.key.label - 'author.key.label - if$ - } - if$ - ", " - * - year field.or.null - * - 'label := -} - -FUNCTION {calc.short.label} -{ type$ "book" = - type$ "inbook" = - or - 'author.editor.key.label - { type$ "proceedings" = - 'editor.key.label - 'author.key.label - if$ - } - if$ - 'label := -} - -%%%KCB: removed FUNCTION {calc.long.label} - -FUNCTION {sort.format.names} -{ 's := - #1 'nameptr := - "" - s num.names$ 'numnames := - numnames 'namesleft := - { namesleft #0 > } - { nameptr #1 > - { " " * } - 'skip$ - if$ - s nameptr - "{vv{ } }{ll{ }}{ f{ }}{ jj{ }}" - format.name$ 't := - nameptr numnames = t "others" = and - { "et al" * } - { t sortify * } - if$ - nameptr #1 + 'nameptr := - namesleft #1 - 'namesleft := - } - while$ -} - -FUNCTION {sort.format.title} -{ 't := - "A " #2 - "An " #3 - "The " #4 t chop.word - chop.word - chop.word - sortify - #1 global.max$ substring$ -} - -FUNCTION {author.sort} -{ author empty$ - { key empty$ - { "to sort, need author or key in " cite$ * warning$ - "" - } - { key sortify } - if$ - } - { author sort.format.names } - if$ -} - -FUNCTION {author.editor.sort} -{ author empty$ - { editor empty$ - { key empty$ - { "to sort, need author, editor, or key in " cite$ * warning$ - "" - } - { key sortify } - if$ - } - { editor sort.format.names } - if$ - } - { author sort.format.names } - if$ -} - -FUNCTION {editor.sort} -{ editor empty$ - { key empty$ - { "to sort, need editor or key in " cite$ * warning$ - "" - } - { key sortify } - if$ - } - { editor sort.format.names } - if$ -} - -FUNCTION {presort} -{ calc.label - label sortify - " " - * - type$ "book" = - type$ "inbook" = - or - type$ "issue" = %%%KCB: need for new entry type - or %%%KCB - 'author.editor.sort - { type$ "proceedings" = - 'editor.sort - 'author.sort - if$ - } - if$ - #1 entry.max$ substring$ - 'sort.label := - sort.label - * - " " - * - title field.or.null - sort.format.title - * - #1 entry.max$ substring$ - 'sort.key$ := -} - -ITERATE {presort} - -SORT - -STRINGS { last.label next.extra } - -INTEGERS { last.extra.num } - -FUNCTION {initialize.extra.label.stuff} -{ #0 int.to.chr$ 'last.label := - "" 'next.extra := - #0 'last.extra.num := -} - -FUNCTION {forward.pass} -{ last.label label = - { last.extra.num #1 + 'last.extra.num := - last.extra.num int.to.chr$ 'extra.label := - } - { "a" chr.to.int$ 'last.extra.num := - "" 'extra.label := - label 'last.label := - } - if$ -} - -FUNCTION {reverse.pass} -{ next.extra "b" = - { "a" 'extra.label := } - 'skip$ - if$ - extra.label 'next.extra := -} - -EXECUTE {initialize.extra.label.stuff} - -EXECUTE {init.prev.name} %%%KCB: needed for replacing repeated authors - -ITERATE {forward.pass} - -REVERSE {reverse.pass} - -FUNCTION {bib.sort.order} -{ sort.label - " " - * - year field.or.null sortify - * - " " - * - title field.or.null - sort.format.title - * - #1 entry.max$ substring$ - 'sort.key$ := - calc.short.label -%%%KCB: removed calc.long.label -} - -ITERATE {bib.sort.order} - -SORT - -FUNCTION {begin.bib} -{ preamble$ empty$ - 'skip$ - { preamble$ write$ newline$ } - if$ -%%%KCB: add defn of \BySame, can be overridden in document -"\ifx\undefined\BySame" write$ newline$ - "\newcommand{\BySame}{\leavevmode\rule[.5ex]{3em}{.5pt}\ }" - write$ newline$ - "\fi" write$ newline$ -%%% KCB: For those who still cling to LaTeX 2.09 -"\ifx\undefined\textsc" write$ newline$ - "\newcommand{\textsc}[1]{{\sc #1}}" - write$ newline$ - "\newcommand{\emph}[1]{{\em #1\/}}" - write$ newline$ -"\let\tmpsmall\small" write$ newline$ -"\renewcommand{\small}{\tmpsmall\sc}" write$ newline$ - "\fi" write$ newline$ -%%% - "\begin{thebibliography}{}" write$ newline$ -} - -EXECUTE {begin.bib} - -EXECUTE {init.state.consts} - -ITERATE {call.type$} - -FUNCTION {end.bib} -{ newline$ - "\end{thebibliography}" write$ newline$ -"Done." top$ %%%KCB: Signal end for NeXTeX's TexView -} - -EXECUTE {end.bib} -%% End of customized bst file diff --git a/proposal/proposal_css.aux b/proposal/proposal_css.aux deleted file mode 100644 index 4f5b589c5..000000000 --- a/proposal/proposal_css.aux +++ /dev/null @@ -1,30 +0,0 @@ -\relax -\providecommand\hyper@newdestlabel[2]{} -\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument} -\HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined -\global\let\oldcontentsline\contentsline -\gdef\contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}} -\global\let\oldnewlabel\newlabel -\gdef\newlabel#1#2{\newlabelxx{#1}#2} -\gdef\newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}} -\AtEndDocument{\ifx\hyper@anchor\@undefined -\let\contentsline\oldcontentsline -\let\newlabel\oldnewlabel -\fi} -\fi} -\global\let\hyper@last\relax -\gdef\HyperFirstAtBeginDocument#1{#1} -\providecommand\HyField@AuxAddToFields[1]{} -\providecommand\HyField@AuxAddToCoFields[2]{} -\bibstyle{economet} -\select@language{english} -\@writefile{toc}{\select@language{english}} -\@writefile{lof}{\select@language{english}} -\@writefile{lot}{\select@language{english}} -\citation{Erdos1959} -\citation{Georg2014} -\citation{Gai2010} -\bibdata{bib} -\bibcite{Erdos1959}{{1}{1959}{{Erd\H {o}s and R\'{e}nyi}}{{Erd\H {o}s and R\'{e}nyi}}} -\bibcite{Gai2010}{{2}{2010}{{Gai and Kapadia}}{{Gai and Kapadia}}} -\bibcite{Georg2014}{{3}{2014}{{Georg and Gabrieli}}{{Georg and Gabrieli}}} diff --git a/proposal/proposal_css.bbl b/proposal/proposal_css.bbl deleted file mode 100644 index 79e845171..000000000 --- a/proposal/proposal_css.bbl +++ /dev/null @@ -1,25 +0,0 @@ -\ifx\undefined\BySame -\newcommand{\BySame}{\leavevmode\rule[.5ex]{3em}{.5pt}\ } -\fi -\ifx\undefined\textsc -\newcommand{\textsc}[1]{{\sc #1}} -\newcommand{\emph}[1]{{\em #1\/}} -\let\tmpsmall\small -\renewcommand{\small}{\tmpsmall\sc} -\fi -\begin{thebibliography}{} - -\harvarditem[Erd\H{o}s and R\'{e}nyi]{Erd\H{o}s and R\'{e}nyi}{1959}{Erdos1959} -\textsc{Erd\H{o}s, P., {\small and} A.~R\'{e}nyi} (1959): ``On random graphs - I,'' \emph{Publ. Math. Debrecen}, 6, 290--297. - -\harvarditem[Gai and Kapadia]{Gai and Kapadia}{2010}{Gai2010} -\textsc{Gai, P., {\small and} S.~Kapadia} (2010): ``Contagion in Financial - Networks,'' \emph{Proceedings of the Royal Society of London A: Mathematical, - Physical and Engineering Sciences}, pp. 2401--2423. - -\harvarditem[Georg and Gabrieli]{Georg and Gabrieli}{2014}{Georg2014} -\textsc{Georg, C.-P., {\small and} S.~Gabrieli} (2014): ``A network view on - interbank market freezes,'' Discussion paper, Banque de France. - -\end{thebibliography} diff --git a/proposal/proposal_css.blg b/proposal/proposal_css.blg deleted file mode 100644 index 69865755e..000000000 --- a/proposal/proposal_css.blg +++ /dev/null @@ -1,4 +0,0 @@ -This is BibTeX, Version 0.99dThe top-level auxiliary file: proposal_css.aux -The style file: economet.bst -Database file #1: bib.bib -Done. diff --git a/proposal/proposal_css.log b/proposal/proposal_css.log deleted file mode 100644 index f990f415a..000000000 --- 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zN&@4$oB<1rWl{Fh@&S$JP5Ki=&O{RlvyFqZLWI=L2f~slU+HNAXT$<}hL2!Pe7xCb z1Oa75!+auPpn;tdMjHZ}fQl*YSnwIrY#SnldUGuw$ibn6rKQ1G4mELF8k7V)3i4VS z@bRYoAVGZw+XX(>q!*G9QN5>~kAPqJFv=DkTz diff --git a/proposal/proposal_css.tex b/proposal/proposal_css.tex deleted file mode 100644 index eeed9c053..000000000 --- a/proposal/proposal_css.tex +++ /dev/null @@ -1,92 +0,0 @@ -\documentclass[12pt,a4paper,oneside]{article} %koma-script -\usepackage[english]{babel} -\usepackage{lmodern} -\usepackage[T1]{fontenc} -\usepackage[utf8]{inputenc} -\usepackage{lineno} -\usepackage{setspace} -\usepackage[backref=false,colorlinks,hyperfootnotes=true,linktoc=all,citecolor=blue,linkcolor=blue,urlcolor=blue]{hyperref} -\usepackage{natbib} -\usepackage{amsmath,amssymb} -\bibliographystyle{economet} - -\begin{document} -\spacing{1.5} -\begin{center} -\hrule \vspace{0.4cm} -{\LARGE \bfseries Modelling Contagion in a Core-Periphery - Financial Network \\[0.4cm] } -\hrule \vspace{0.4cm} -Marion Deichmann\footnote{\href{mailto:mariond@student.ethz.ch}{mariond@student.ethz.ch}}, - Laurenz Kaiser\footnote{\href{mailto:laukaise@student.ethz.ch}{laukaise@student.ethz.ch}}, - Timo Schäfer\footnote{\href{mailto:schatimo@student.ethz.ch}{schatimo@student.ethz.ch}} \\[0.1cm] -Proposal for Modelling and Simulating Social Systems with MATLAB \\[0.1cm] ETH Zürich \\[0.1cm] \today -\end{center} -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -\section*{General Introduction} -\noindent Especially after the collapse of Lehman in 2008 researchers and policy -makers have shifted their focus towards the interconnectedness of -financial intermediaries regarding interbank lending. It has been shown that the default of a bank -can trigger other banks' failure via the network structure [source!]. Since then global discussions regarding -capital requirements and banking regulations have emerged, i.e. Basel III, Volcker Rule, Liikanen -report, UK Whitebook. All these measures aim to decrease the -probability of default of banks and hence, to reduce contagion -w.r.t. financial distress. - -\section*{Fundamental Questions} -In our seminar paper, we aim to determine how regulatory policies -on banks can lower contagion risks. First, we examine the impact of -increased capital buffers. Second, we simulate whether bail-out -strategies can impede contagion, i.e. randomly choosing which bank to -save or more specifically, target the most central bank. Furthermore, -it would be interesting to conduct a counterfactual analysis comparing -saving or not saving banks. - -\section*{Model and Research Methods} -Our analysis is based on a random graph exhibiting stylized facts of the -actual European financial network. For this purpose, we will use a -\cite{Erdos1959} random graph model with core-periphery -structure. \cite{Georg2014} finds that the joint European interbank market -can best described as a network of connected core-periphery networks -since the latter can be found on a national bank level. - -Let us assume that the total assets of each bank $i$ consist of -interbank assets, $A_i^{IB}$, and illiquid external assets -(i.e. mortgages), $A_i^M$. Further, the total interbank assets are -equally distributed across all incoming links. Bank $i$'s total -liabilities consist of interbank liabilities, $L_i^{IB}$, that are -endogenously determined and of exogenous customer deposits, -$D_i$. Using these notations, one can define the necessary condition -for bank $i$ to be solvent \citep{Gai2010}: -\begin{equation} -(1-\alpha)A_i^{IB}+qA_i^M-L_i^{IB}-D_i>0 -\end{equation} -with $\alpha$ being the fraction of bank $i$'s counterparties with -obligations to $i$ that have defaulted assuming a recovery rate of -zero, and $q$ is the resale price of the illiquid asset that is <1 in -the case of 'fire sales'. By defining -$K_i=A_i^{IB}+A_i^M-L_i^{IB}-D_i$ as bank's $i$ capital buffer, we can -examine effects of particular levels of capital buffers on the spread -of contagion. -First, we build random graph model as described above. Second, we run -a Monte Carlo simulation on the random variables $A_i^{IB}$ and -$A_i^{M}$ respectively to get the numerical results. By construction, the means for the random -variables for core and periphery banks differ significantly. Third, -using this methodology we hope to be able to infer policy implications. - -\section*{Expected Results} -We expect that for increased capital buffers the frequency of -contagion is more significantly reduced for core banks relative to -periphery banks. Similarly, we expect that saving a core bank reduces the extent of contagion more effectively than saving a periphery bank. - - - -%zero recovery assumption, variation in amount borrowed ($A_{IB}$), \#counterparties, betweenness centrality, -%eigenvector centrality -%defaulting bank is randomly selected... how to be incorporate this assumption? - - - -\bibliography{bib} -\end{document} \ No newline at end of file diff --git a/proposal/proposal_css.tex~ b/proposal/proposal_css.tex~ deleted file mode 100644 index 412ca103c..000000000 --- a/proposal/proposal_css.tex~ +++ /dev/null @@ -1,87 +0,0 @@ -\documentclass[12pt,a4paper,oneside]{article} %koma-script -\usepackage[english]{babel} -\usepackage{lmodern} -\usepackage[T1]{fontenc} -\usepackage[utf8]{inputenc} -\usepackage{lineno} -\usepackage{setspace} -\usepackage[backref=false,colorlinks,hyperfootnotes=true,linktoc=all,citecolor=blue,linkcolor=blue,urlcolor=blue]{hyperref} -\usepackage{natbib} -\usepackage{amsmath,amssymb} -\bibliographystyle{economet} - -\begin{document} -\spacing{1.5} -\begin{center} -\hrule \vspace{0.4cm} -{\LARGE \bfseries Modelling Contagion in a Core-Periphery - Financial Network \\[0.4cm] } -\hrule \vspace{0.4cm} -Marion Deichmann\footnote{\href{mailto:mariond@student.ethz.ch}{mariond@student.ethz.ch}}, - Laurenz Kaiser\footnote{\href{mailto:laurenz.kaiser@uzh.ch}{laurenz.kaiser@uzh.ch}}, - Timo Schäfer\footnote{\href{mailto:schatimo@student.ethz.ch}{schatimo@student.ethz.ch}} \\[0.1cm] -Proposal for Modelling and Simulating Social Systems with MATLAB \\[0.1cm] ETH Zürich \\[0.1cm] \today -\end{center} -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - -\section*{General Introduction} -\noindent Especially after the collapse of Lehman in 2008 researchers and policy -makers have shifted their focus towards the interconnectedness of -financial intermediaries regarding interbank lending. It has been shown that the default of a bank -can trigger other banks' failure via the network structure [source!]. Since then global discussions regarding -capital requirements and banking regulations have emerged, i.e. Basel III, Volcker Rule, Liikanen -report, UK Whitebook. All these measures aim to decrease the -probability of default of banks and hence, to reduce contagion -w.r.t. financial distress. - -\section*{Fundamental Questions} -In our seminar paper, we aim to determine how regulatory policies -on banks can lower contagion risks. First, we examine the impact of -increased capital buffers. Second, we simulate whether bail-out -strategies can impede contagion, i.e. randomly choosing which bank to -save or more specifically, target the most central bank. Furthermore, -it would be interesting to conduct a counterfactual analysis comparing -saving or not saving banks. - -\section*{Model and Research Methods} -Our analysis is based on a random graph exhibiting stylized facts of the -actual European financial network. For this purpose, we will use a -\cite{Erdos1959} random graph model with core-periphery -structure. \cite{Georg2014} finds that the joint European interbank market -can best described as a network of connected core-periphery networks -since the latter can be found on a national bank level. - -Let us assume that the total assets of each bank $i$ consist of -interbank assets, $A_i^{IB}$, and illiquid external assets -(i.e. mortgages), $A_i^M$. Further, the total interbank assets are -equally distributed across all incoming links. Bank $i$'s total -liabilities consist of interbank liabilities, $L_i^{IB}$, that are -endogenously determined and of exogenous customer deposits, -$D_i$. Using these notations, one can define the necessary condition -for bank $i$ to be solvent \citep{Gai2010}: -\begin{equation} -(1-\alpha)A_i^{IB}+qA_i^M-L_i^{IB}-D_i>0 -\end{equation} -with $\alpha$ being the fraction of bank $i$'s counterparties with -obligations to $i$ that have defaulted assuming a recovery rate of zero, and $q$ is the resale price of the illiquid asset that is <1 in the case of 'fire sales'. -First, we build random graph model as described above. Second, we run -a Monte Carlo simulation on the random variables $A_i^{IB}$ and -$A_i^{M}$ respectively to get the numerical results. By construction, the means for the random -variables for core and periphery banks differ significantly. Third, -using this methodology we hope to be able to infer policy implications. - -\section*{Expected Results} -We expect that for increased capital buffers the frequency of -contagion is more significantly reduced for core banks relative to -periphery banks. Similarly, we expect that saving a core bank reduces the extent of contagion more effectively than saving a periphery bank. - - - -%zero recovery assumption, variation in amount borrowed ($A_{IB}$), \#counterparties, betweenness centrality, -%eigenvector centrality -%defaulting bank is randomly selected... how to be incorporate this assumption? - - - -\bibliography{bib} -\end{document} \ No newline at end of file From 9912bda2b267ca1e393eb97f0c4752e2de769f3e Mon Sep 17 00:00:00 2001 From: schatimo Date: Sat, 17 Oct 2015 12:50:49 +0200 Subject: [PATCH 10/27] proposal\proposal.pdf --- proposal/proposal_css.pdf | Bin 0 -> 197095 bytes 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 proposal/proposal_css.pdf diff --git a/proposal/proposal_css.pdf b/proposal/proposal_css.pdf new file mode 100644 index 0000000000000000000000000000000000000000..2225441ba449b03bdd261e590691324d24463cb6 GIT binary patch literal 197095 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z8I)2hIOAu~2Tu2y9aEt@#0I%L?i2e8k6N6YZ=L|oldTH8HZ)9685C2b2U6@U5~bTQ4T?|;|777MMbDIVBUJX zD)2LSx->yXk5Wzd0wZ-ws0l@-scQES zgsxqo85Ksk~!T6GtDU|tp zQbsLRZl|)yBDAv^2k}dQe*-%&GXkAk*0fBFHR8 zTwX?qVp`z1g3Qt&PVh1q&s5}gHWBO$?bPeo)HbAfRl-~(IfrV)!9_wwh_1u2hA6XG zEadw_JKL7}8Y+=68=4{6-Y{9Al^oBcz(7H!t1=IO1`A(I;HOeHag4dxT^ zfdwSrQUJ5)3o1lK!Om2(3{z~U0S$zC;WtYR(e@y-L|akI0=6YFgAA-H$ZSeQP6D58 zRz&dn!Wk|VxdAd&+&@63%l@GmVyuI92CLhIIZS?Ui~ Date: Sat, 17 Oct 2015 12:56:07 +0200 Subject: [PATCH 11/27] README.md --- README.md | 77 ++++++++++++++++++++++++++++++++++++++----------------- 1 file changed, 53 insertions(+), 24 deletions(-) diff --git a/README.md b/README.md index 0e0924aba..713c5b9e8 100644 --- a/README.md +++ b/README.md @@ -2,42 +2,71 @@ > * Group Name: destructive > * Group participants names: Deichmann, Marion; Kaiser, Laurent; Schäfer, Timo -> * Project Title: Modelling Contagion in a Core Periphery Financial Network +> * Project Title: Modelling Contagion in a Core-Periphery Financial Network ## General Introduction -(States your motivation clearly: why is it important / interesting to solve this problem?) -(Add real-world examples, if any) -(Put the problem into a historical context, from what does it originate? Are there already some proposed solutions?) - -## The Model - -(Define dependent and independent variables you want to study. Say how you want to measure them.) (Why is your model a good abtraction of the problem you want to study?) (Are you capturing all the relevant aspects of the problem?) +\noindent Especially after the collapse of Lehman in 2008 researchers and policy +makers have shifted their focus towards the interconnectedness of +financial intermediaries regarding interbank lending. It has been shown that the default of a bank +can trigger other banks' failure via the network structure [source!]. Since then global discussions regarding +capital requirements and banking regulations have emerged, i.e. Basel III, Volcker Rule, Liikanen +report, UK Whitebook. All these measures aim to decrease the +probability of default of banks and hence, to reduce contagion +w.r.t. financial distress. ## Fundamental Questions - +In our seminar paper, we aim to determine how regulatory policies +on banks can lower contagion risks. First, we examine the impact of +increased capital buffers. Second, we simulate whether bail-out +strategies can impede contagion, i.e. randomly choosing which bank to +save or more specifically, target the most central bank. Furthermore, +it would be interesting to conduct a counterfactual analysis comparing +saving or not saving banks. (At the end of the project you want to find the answer to these questions) (Formulate a few, clear questions. Articulate them in sub-questions, from the more general to the more specific. ) -## Expected Results - -(What are the answers to the above questions that you expect to find before starting your research?) - - -## References - -(Add the bibliographic references you intend to use) -(Explain possible extension to the above models) -(Code / Projects Reports of the previous year) +## Model and Research Methods + +Our analysis is based on a random graph exhibiting stylized facts of the +actual European financial network. For this purpose, we will use a +\cite{Erdos1959} random graph model with core-periphery +structure. \cite{Georg2014} finds that the joint European interbank market +can best described as a network of connected core-periphery networks +since the latter can be found on a national bank level. + +Let us assume that the total assets of each bank $i$ consist of +interbank assets, $A_i^{IB}$, and illiquid external assets +(i.e. mortgages), $A_i^M$. Further, the total interbank assets are +equally distributed across all incoming links. Bank $i$'s total +liabilities consist of interbank liabilities, $L_i^{IB}$, that are +endogenously determined and of exogenous customer deposits, +$D_i$. Using these notations, one can define the necessary condition +for bank $i$ to be solvent \citep{Gai2010}: +\begin{equation} +(1-\alpha)A_i^{IB}+qA_i^M-L_i^{IB}-D_i>0 +\end{equation} +with $\alpha$ being the fraction of bank $i$'s counterparties with +obligations to $i$ that have defaulted assuming a recovery rate of +zero, and $q$ is the resale price of the illiquid asset that is <1 in +the case of 'fire sales'. By defining +$K_i=A_i^{IB}+A_i^M-L_i^{IB}-D_i$ as bank's $i$ capital buffer, we can +examine effects of particular levels of capital buffers on the spread +of contagion. +First, we build random graph model as described above. Second, we run +a Monte Carlo simulation on the random variables $A_i^{IB}$ and +$A_i^{M}$ respectively to get the numerical results. By construction, the means for the random +variables for core and periphery banks differ significantly. Third, +using this methodology we hope to be able to infer policy implications. -## Research Methods - -(Cellular Automata, Agent-Based Model, Continuous Modeling...) (If you are not sure here: 1. Consult your colleagues, 2. ask the teachers, 3. remember that you can change it afterwards) +## Expected Results +We expect that for increased capital buffers the frequency of +contagion is more significantly reduced for core banks relative to +periphery banks. Similarly, we expect that saving a core bank reduces the extent of contagion more effectively than saving a periphery bank. -## Other +## References -(mention datasets you are going to use) From 2e7e033d4122f2ee31dca223d035a7c5c854c099 Mon Sep 17 00:00:00 2001 From: ayebex Date: Sat, 17 Oct 2015 12:59:22 +0200 Subject: [PATCH 12/27] Update README.md --- README.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/README.md b/README.md index 713c5b9e8..cba8210e6 100644 --- a/README.md +++ b/README.md @@ -1,7 +1,7 @@ # MATLAB Fall 2015 – Research Plan > * Group Name: destructive -> * Group participants names: Deichmann, Marion; Kaiser, Laurent; Schäfer, Timo +> * Group participants names: Deichmann Marion; Kaiser Laurenz; Schäfer Timo > * Project Title: Modelling Contagion in a Core-Periphery Financial Network ## General Introduction From 3c743ee44e6e1eaebaade3dd7f1685fec79b800c Mon Sep 17 00:00:00 2001 From: schatimo Date: Sat, 17 Oct 2015 13:00:45 +0200 Subject: [PATCH 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Sep 17 00:00:00 2001 From: schatimo Date: Fri, 11 Dec 2015 23:12:41 +0100 Subject: [PATCH 18/27] Code --- README.md~ | 43 +++++++ code/README.md | 12 +- code/README.md~ | 3 + code/bankReadme.txt | 3 + code/data.mat | Bin 0 -> 6835 bytes code/data.readme.txt | 3 + code/eigencentr.m | 11 ++ code/master1.m | 145 +++++++++++++++++++++ code/simBailout.m | 232 ++++++++++++++++++++++++++++++++++ code/simCBPost.m | 256 ++++++++++++++++++++++++++++++++++++++ code/simCBPre.m | 203 ++++++++++++++++++++++++++++++ proposal/proposal_css.pdf | Bin 197095 -> 0 bytes 12 files changed, 909 insertions(+), 2 deletions(-) create mode 100644 README.md~ create mode 100644 code/README.md~ create mode 100644 code/bankReadme.txt create mode 100644 code/data.mat create mode 100644 code/data.readme.txt create mode 100644 code/eigencentr.m create mode 100644 code/master1.m create mode 100644 code/simBailout.m create mode 100644 code/simCBPost.m create mode 100644 code/simCBPre.m delete mode 100644 proposal/proposal_css.pdf diff --git a/README.md~ b/README.md~ new file mode 100644 index 000000000..77d2a4678 --- /dev/null +++ b/README.md~ @@ -0,0 +1,43 @@ +# MATLAB Fall 2015 – Research Plan + +> * Group Name: destructive +> * Group participants names: Deichmann, Marion; Kaiser, Lorenz; Schäfer, Timo +> * Project Title: Modelling Contagion in a Core Periphery Financial Network + +## General Introduction + +(States your motivation clearly: why is it important / interesting to solve this problem?) +(Add real-world examples, if any) +(Put the problem into a historical context, from what does it originate? Are there already some proposed solutions?) + +## The Model + +(Define dependent and independent variables you want to study. Say how you want to measure them.) (Why is your model a good abtraction of the problem you want to study?) (Are you capturing all the relevant aspects of the problem?) + + +## Fundamental Questions + +(At the end of the project you want to find the answer to these questions) +(Formulate a few, clear questions. Articulate them in sub-questions, from the more general to the more specific. ) + + +## Expected Results + +(What are the answers to the above questions that you expect to find before starting your research?) + + +## References + +(Add the bibliographic references you intend to use) +(Explain possible extension to the above models) +(Code / Projects Reports of the previous year) + + +## Research Methods + +(Cellular Automata, Agent-Based Model, Continuous Modeling...) (If you are not sure here: 1. Consult your colleagues, 2. ask the teachers, 3. remember that you can change it afterwards) + + +## Other + +(mention datasets you are going to use) diff --git a/code/README.md b/code/README.md index cf73f2a80..4b5e986da 100644 --- a/code/README.md +++ b/code/README.md @@ -1,3 +1,11 @@ -# Code Folder +data: balance sheet data from bankscope, description, see data.readme -Your code goes here. You could also replace the content of this file with something more meaningful +master1: set ups financial network and balance sheet data (includes plotting for subplots) + +eigencentr: function to calculate eigenvector centrality for a weighted adjacency matrix + +simCBPost: capital buffer simulation using FDA for the post crisis scenario (ER before shock) + +simCBPre: capital buffer simulation using FDA for the pre crisis scenario (no ER before shock) + +simBailout: bail out simulation \ No newline at end of file diff --git a/code/README.md~ b/code/README.md~ new file mode 100644 index 000000000..cf73f2a80 --- /dev/null +++ b/code/README.md~ @@ -0,0 +1,3 @@ +# Code Folder + +Your code goes here. 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zvfO7KwivdTKwHrt%4Q0G7pOy?`^?KB(i9oL?3&~SqZN7V;^DxZHKTq=f)&12@xeXX zKH=^-z1^%V`PKrwvZVs6DMEskk>U42TZQlT*?~pZjHv~xsW?VaeY5f5nMwTRdbs|m z^R&}cBe*vvvaXi9L5a6_eEmgNJPx4>NM{nx9~O<6=O;iY9oGp=g@4bAKtC5s=`rlj zBO`H)_R(548Z|QVc6zfEd3O6moKH{%VZ~P9mkf~1gIbC9mzh|XkeD;|!+daRqgSe3 zwZy;g>ELT)g8RZjcANV$8%z zimli-0SuN>g(4Gzrdi#~8h=Z4C0; + %current equity ratio + bank{1,i}(1,7) = bank{1,i}(1,4)/sum(bank{1,i}(1,1:2)); + liabTot(i) = bank{1,i}(1,3) + bank{1,i}(1,5) ; +end + + +%% plot aggregation +subplot(1,2,1) +fig1 = figure(1); + set(fig1,'defaulttextinterpreter','latex'); + set(fig1, 'defaultAxesTickLabelInterpreter','latex') ; + grid on; + p1 = plot(erVecIP1,erVecResultsIP1,'color','blue'); + hold on; + p2 = plot(erVecIP1,nErFDIP1,'color','red'); + hold on; + p3 = plot(erVecIP1,dCoreFinIP1,'color','magenta'); + hold on; + p4 = plot(erVecIP1,dPerFinIP1,'color','green'); + xlabel('\textit{ER}'); + ylim([0.1 0.5]); + ylabel('relative \#defaults'); + ybounds = ylim(); + set(gca, 'ytick', ybounds(1):0.05:ybounds(2)); + title(sprintf('FDA simulation with different equity ratios, pre-crisis: a=%d, b=%d',distn.a, distn.b),'fontsize',14,'fontweight','bold'); +subplot(1,2,2) +fig2 = figure(1); + set(fig2,'defaulttextinterpreter','latex'); + set(fig2, 'defaultAxesTickLabelInterpreter','latex') ; + grid on; + p1 = plot(erVecIP,erVecResultsIP,'color','blue'); + hold on; + p2 = plot(erVecIP,nErFDIP,'color','red'); + hold on; + p3 = plot(erVecIP,dCoreFinIP,'color','magenta'); + hold on; + p4 = plot(erVecIP,dPerFinIP,'color','green'); + xlabel('\textit{ER}'); + ylabel('relative \#defaults'); + ylim([0.1 0.5]); + ybounds = ylim(); + set(gca, 'ytick', ybounds(1):0.05:ybounds(2)); + title(sprintf('FDA simulation with different equity ratios, post-crisis: a=%d, b=%d',distn.a, distn.b),'fontsize',14,'fontweight','bold'); +leg = legend([p1 p2 p3 p4], {'Contagious','Fundamental','Core contagion','Periphery contagion'},'Location','southoutside','orientation','horizontal'); +newPosition = [0.4 0.03 0.2 0.03]; +newUnits = 'normalized'; +set(leg,'Position', newPosition,'Units', newUnits); +print('C:\Users\Timo Schäfer\Documents\Banking and Finance\HS 2015\Computational Social Sciences with Matlab\Text\CBPlotCombi', '-dpng'); + +axoptions={'scaled y ticks = false',... + 'y tick label style={/pgf/number format/.cd, fixed, fixed zerofill,precision=2}',... + 'scaled x ticks = false',... + 'x tick label style={/pgf/number format/.cd, fixed, fixed zerofill,precision=2}'}; +matlab2tikz('C:\Users\Timo Schäfer\Documents\Banking and Finance\HS 2015\Computational Social Sciences with Matlab\Text\CBPlotCombi.tex','extraAxisOptions',axoptions); + + + + diff --git a/code/simBailout.m b/code/simBailout.m new file mode 100644 index 000000000..a68fcf441 --- /dev/null +++ b/code/simBailout.m @@ -0,0 +1,232 @@ +%% setup + +%original liability matrix in absolute numbers +origL = adj .* repmat(ibA,n,1)'; +%create relative liability matrix +relL1 = sum(origL,1)+liabTot; +relL = origL ./ repmat(relL1,n,1); + +% range of limits of banks to save (EigLim) +Lim = 0:1:40; +% threshold when bailouts start +thold = n/20; +% eigencentrality in the bank network +[EigC, EigInd] = eigencentr(origL); +eigenM = [EigC EigInd]; +% %equity ratio as defined by Basel III +eqr = 0.045; + +% # MC simulations +mc1 = 100; + +%Bailout costs for lender of last resort +BailC = zeros(length(Lim),mc1); +% loss of equity through shock +shockLoss = zeros(length(Lim),mc1); + +%draw shock on external assets risk factor +distn = makedist('beta',1,1); +% define banks to be stressed by degree centrality, outdegree +outdeg = fn.outdegree; +outdeg = [(1:n)' outdeg]; +outdeg = sortrows(outdeg,-2); +stressedBanks = outdeg(1:30,1); + + +%% start MC simulation here +% range of limits of banks to save (EigLim) +for bRange = 1:length(Lim) + EigLim = Lim(bRange); + % draws per value of EigLim + for mc = 1:mc1 + rf = distn.random(1); + %update bank variables for shock + for i=1:n + bank{1,i}(2,:) = bank{1,i}(1,:); + if ismember(i,stressedBanks) + bank{1,i}(2,2) = (1-rf)*bank{1,i}(1,2); + bank{1,i}(2,4) = max(bank{1,i}(2,4) - rf*bank{1,i}(1,2),0); + bank{1,i}(2,8) = bank{1,i}(1,4) - rf*bank{1,i}(1,2); + shockLoss(bRange,mc) = shockLoss(bRange,mc) + rf*bank{1,i}(1,2); + end + %check solvency (==1) that is already the first round + bank{1,i}(2,6) = bank{1,i}(2,4)>0; + %new equity ratio + bank{1,i}(2,7) = bank{1,i}(2,4)/sum(bank{1,i}(2,1:2)); + extA(i) = bank{1,i}(2,2); + end + + %fundamental defaults + for i=1:n + nFD(i) = bank{1,i}(2,6); + end + + %calculate clearing vector using FDA, + change = 0; + + %set of banks saved + setBanks = []; + + %set up default vector + for i=1:n + default(i) = bank{1,i}(2,6); + end + + + + %initial index for bank data + t = 3; + default1 = ones(n,1)'; + + while change==0 + %set up default vector + for i=1:n + default(i) = bank{1,i}(t-1,6); + end + + %assets in case of default; payment vector + for i=1:n + %when solvent pay full + if (default(i)==1) + totPay(i) = bank{1,i}(1,3); + end + end + + relL1 = sum(origL,1)+liabTot; + relL = origL ./ repmat(relL1,n,1); + for i=1:n + if (default(i)==0) + %if not, pay only rest (assuming proportionality) + totPay(i) = extA(i) + (liabTot(default==1)*relL(default==1,i)); + end + end + + aux3 = eye(length(find(default==0))) - relL(default==0,default==0)'; + %solve linear equation + totPayDef = aux3\totPay(default==0)'; + totPay(default==0) = totPayDef; + %update payment matrix with new payment vector totpay',n,1 + matPay = relL .* repmat(totPay,n,1); + %add update of bank values for all i; contagion takes place + for i=1:n + bank{1,i}(t,1) = sum(matPay(i,:)); + bank{1,i}(t,2) = bank{1,i}(t-1,2); + bank{1,i}(t,3) = bank{1,i}(1,3); + bank{1,i}(t,5) = bank{1,i}(t-1,5); + bank{1,i}(t,4) = max(sum(bank{1,i}(t,1:2))-sum(bank{1,i}(t,[3 5])),0); + bank{1,i}(t,6) = bank{1,i}(t,4)>0; + bank{1,i}(t,7) = bank{1,i}(t,4)/sum(bank{1,i}(t,1:2)); + bank{1,i}(t,8) = sum(bank{1,i}(t,1:2))-sum(bank{1,i}(t,[3 5])); + if (bank{1,i}(t-1,6)==0) + bank{1,i}(t,4) = 0; + bank{1,i}(t,6) = 0; + bank{1,i}(t,7) = 0; + end + default(i) = bank{1,i}(t,6); + extA(i) = bank{1,i}(t,2); + liabTot(i) = bank{1,i}(t,3) + bank{1,i}(t,5); + + end + %update change + if (isequal(default,default1)); + change = 1; + else + %condition for bailout; threshold 5% + if sum(default(:)==0) > thold; + aux2 = find(~default)'; + aux1 = EigInd(ismember(EigInd,aux2)); + % aux1 = randperm(numel(aux2)); %alternative for random + % pick + %min of all defaults in t or EigLim + aux = aux2(1:min(length(aux1),EigLim)); + %bailout injection + for i=1:n + if ismember(i, aux)&& ~ismember(i,setBanks) + setBanks = [setBanks i]; + injection = (sum(bank{1,i}(t,[3 5])) - (1-eqr)*(sum(bank{1,i}(t,1:2))))/(1-eqr); + bank{1,i}(t,2) = injection + bank{1,i}(t,2); + bank{1,i}(t,8) = sum(bank{1,i}(t,1:2))-sum(bank{1,i}(t,[3 5])); + bank{1,i}(t,4) = sum(bank{1,i}(t,1:2))-sum(bank{1,i}(t,[3 5])); + %update external assets and equity ratio after bailouts + extA(i) = bank{1,i}(t,2); + bank{1,i}(t,7) = bank{1,i}(t,4)/sum(bank{1,i}(t,1:2)); + bank{1,i}(t,6) = bank{1,i}(t,4)>0; + % update bailout costs + BailC(bRange,mc) = BailC(bRange,mc) + injection; + default(i) = bank{1,i}(t,6); + extA(i) = bank{1,i}(t,2); + liabTot(i) = bank{1,i}(t,3) + bank{1,i}(t,5); + + end + end + end + default1 = default; + t = t+1; + end + end + % total defaults relative to number of all banks + totDefault(bRange,mc) = length(find(default==0))/n; + % fundamental defaults relative to number of all banks + FD(bRange,mc) = length(find(nFD == 0))/n; + + end + end + + + + +% average costs for each value of EigLim +avBailC = mean(BailC,2); +% average loss of equity for each value of EigLim +avshockLoss = mean(shockLoss,2); +%calculate average defaults over all simulations +avtotDefault = mean(totDefault,2); +% average fundamental defaults over all simulations +avFD = mean(FD,2); + + + +%% plotting + +fig1 = figure(1); + set(fig1,'defaulttextinterpreter','latex'); + set(fig1, 'defaultAxesTickLabelInterpreter','latex') ; + grid on; + p1 = plot(Lim/n,avtotDefault,'color','blue'); + hold on; + p2 = plot(Lim/n,avFD,'color','red'); + xlabel('\textit{maximum of banks saved per timestep}'); + ylabel('relative \#defaults'); + title('\textbf{FDA simulation with bailouts}','fontsize',14); + legend([p1 p2], {'Total','Fundamental'},'Location','southeast'); + print('C:\Users\Marion\Desktop\CSS figures\tot_fund_1_1_5', '-dpng'); + + axoptions={'scaled y ticks = false',... + 'y tick label style={/pgf/number format/.cd, fixed, fixed zerofill,precision=2}',... + 'scaled x ticks = false',... + 'x tick label style={/pgf/number format/.cd, fixed, fixed zerofill,precision=2}'}; +matlab2tikz('C:\Users\Marion\Desktop\CSS figures\tot_fund_1_1_5.tex','extraAxisOptions',axoptions); + +fig2 = figure(2); + set(fig2,'defaulttextinterpreter','latex'); + set(fig2, 'defaultAxesTickLabelInterpreter','latex') ; + grid on; + p1 = plot(Lim/n,avshockLoss,'color','blue'); + hold on; + p2 = plot(Lim/n,avBailC,'color','red'); + xlabel('\textit{maximum of banks saved per timestep}'); + ylabel('billions \$'); + title('\textbf{bailout costs and loss through shock in FDA simulation with bailouts}','fontsize',14); + legend([p1 p2], {'loss through shock','bailout costs'},'Location','southeast'); + print('C:\Users\Marion\Desktop\CSS figures\bailc_loss_1_1_5', '-dpng'); + + +axoptions={'scaled y ticks = false',... + 'y tick label style={/pgf/number format/.cd, fixed, fixed zerofill,precision=2}',... + 'scaled x ticks = false',... + 'x tick label style={/pgf/number format/.cd, fixed, fixed zerofill,precision=2}'}; +matlab2tikz('C:\Users\Marion\Desktop\CSS figures\bailc_loss_1_1_5.tex','extraAxisOptions',axoptions); + + + + \ No newline at end of file diff --git a/code/simCBPost.m b/code/simCBPost.m new file mode 100644 index 000000000..9fd998bee --- /dev/null +++ b/code/simCBPost.m @@ -0,0 +1,256 @@ +%% setup +%original liability matrix in absolute numbers +origL = adj .* repmat(ibA,n,1)'; +%create relative liability matrix +relL1 = sum(origL,1)+liabTot; +relL = origL ./ repmat(relL1,n,1); + + +%draw shock on external assets risk factor (rf) from beta distn +distn = makedist('beta',1,1); +mc1= 250; +%% start MC simulation here +clear dPerFin dCoreFin nErFD erVecResults; +erVec = (0:0.01:0.4); + +%define stressed banks +stressedBanks = 1:50; +degRank = [indeg (1:n)']; +degRank = sortrows(degRank,[-1 2]); +stressedBanks = degRank(stressedBanks,2); +%set banks that purse equity adjustment, rest divesture strategy +eAdj = 1:ncAT; +for j=2:16 + aux = sum(sum(ctr(1:(j-1),1:2)))+1; + eAdj = [eAdj, aux:(aux+ctr(j,1)-1)]; +end + +for erv=1:length(erVec) + er = erVec(erv); + for mc = 1:mc1 + rf = distn.random(1); + for i = 1:n + bank{1,i}(1,1) = data(i,3); + bank{1,i}(1,2) = data(i,2)-data(i,3); + end + %vector of interbank assets (claims) of n banks + ibA = cell2mat(bank); + ibA = ibA(1,1:2:2*n); + %remaing variables + for i= 1:n + %L_IB via outgoing links + bank{1,i}(1,3) = ibA * adj(:,i); + %equity from balance sheet + bank{1,i}(1,4) = data(i,4); + %L_E endogenous + bank{1,i}(1,5) = sum(bank{1,i}(1,1:2))-sum(bank{1,i}(1,3:4)); + %check solvency + bank{1,i}(1,6) = bank{1,i}(1,4)>0; + %current equity ratio + bank{1,i}(1,7) = bank{1,i}(1,4)/sum(bank{1,i}(1,1:2)); + end + + for i=1:n + if (bank{1,i}(1,6)==1) + %if under minimum er + if (bank{1,i}(1,7)0; + bank{1,i}(1,7) = bank{1,i}(1,4)/sum(bank{1,i}(1,1:2)); + else + changeExt = sum(bank{1,i}(1,1:2)) - bank{1,i}(1,4)/er; + %external liabilities cannot be <0 + changeExt = max([min([changeExt;bank{1,i}(1,5);bank{1,i}(1,2)]),0]); + %update external assets + bank{1,i}(1,2) = bank{1,i}(1,2)-changeExt; + %update external liabilites + bank{1,i}(1,5) = bank{1,i}(1,5)-changeExt; + liabTot(i) = bank{1,i}(1,3) + bank{1,i}(1,5) ; + bank{1,i}(1,7) = bank{1,i}(1,4)/sum(bank{1,i}(1,1:2)); + end + end + end +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% + bank{1,i}(2,:) = bank{1,i}(1,:); + %new value of external assets + %determine which banks to stress + if ismember(i,stressedBanks) + bank{1,i}(2,2) = (1-rf)*bank{1,i}(1,2); + %equity is lowered + bank{1,i}(2,4) = max(bank{1,i}(2,4) - rf*bank{1,i}(1,2),0); + %check solvency (==1) that is already the first round + end + bank{1,i}(2,6) = bank{1,i}(2,4)>0; + if (bank{1,i}(2,6)==1) + %new equity ratio in t=2 + bank{1,i}(2,7) = bank{1,i}(2,4)/sum(bank{1,i}(2,1:2)); + %if under minimum er, then sell at least external assets + if (bank{1,i}(2,7)0; + bank{1,i}(2,7) = bank{1,i}(2,4)/sum(bank{1,i}(2,1:2)); + else + changeExt = (bank{1,i}(2,2)+bank{1,i}(2,1)) - bank{1,i}(2,4)/er; + %external liabilities cannot be <0 + changeExt = max([min([changeExt;bank{1,i}(2,5);bank{1,i}(2,2)]),0]); + %update external assets + bank{1,i}(2,2) = bank{1,i}(2,2)-changeExt; + %update external liabilites + bank{1,i}(2,5) = bank{1,i}(2,5)-changeExt; + liabTot(i) = bank{1,i}(2,3) + bank{1,i}(2,5) ; + bank{1,i}(2,6) = bank{1,i}(2,4)>0; + bank{1,i}(2,7) = bank{1,i}(2,4)/sum(bank{1,i}(2,1:2)); + end + end + end + extA(i) = bank{1,i}(2,2); + end + + %fundamental defaults + for i=1:n + nFD(i) = bank{1,i}(2,6); + end + nMCFD(mc) = length(find(nFD==0))/length(nFD); + + %calculate clearing vector using FDA, each round banks adjust their equity + %ratio when necessary (and possible) + change = 0; + %initial index for bank data + t = 3; + default1 = ones(n,1)'; + while change==0 + %set up default vector + for i=1:n + default(i) = bank{1,i}(t-1,6); + end + %assets in case of no default + for i=1:n + %when solvent pay full + if (default(i)==1) + totPay(i) = bank{1,i}(1,3); + end + end + relL1 = sum(origL,1)+liabTot; + relL = origL ./ repmat(relL1,n,1); + for i=1:n + if (default(i)==0) + %if not, pay only rest (assuming proportionality) + totPay(i) = extA(i) + (liabTot(default==1)*relL(default==1,i)); + end + end + aux = eye(length(find(default==0))) - relL(default==0,default==0)'; + %solve linear equation + totPayDef = aux\totPay(default==0)'; + totPay(default==0) = totPayDef; + %update payment matrix with new payment vector + matPay = relL .* repmat(totPay,n,1); + %add update of bank values for all i + for i=1:n + bank{1,i}(t,1) = min(sum(matPay(i,:)),bank{1,i}(1,1)); + bank{1,i}(t,2) = bank{1,i}(t-1,2); + bank{1,i}(t,3) = bank{1,i}(1,3); + bank{1,i}(t,5) = bank{1,i}(t-1,5); + bank{1,i}(t,4) = max(sum(bank{1,i}(t,1:2))-sum(bank{1,i}(t,[3 5])),0); + bank{1,i}(t,6) = bank{1,i}(t,4)>0; + bank{1,i}(t,7) = bank{1,i}(t,4)/sum(bank{1,i}(t,1:2)); + if (bank{1,i}(t-1,6)==0) + bank{1,i}(t,[1:3 5]) = bank{1,i}(t-1,[1:3 5]); + bank{1,i}(t,4) = 0; + bank{1,i}(t,6) = 0; + bank{1,i}(t,7) = 0; + end + if (bank{1,i}(t,6)==1) + %new equity ratio + %if under minimum er and solvent, then sell at least external assets + if (bank{1,i}(t,7)0; + bank{1,i}(t,7) = bank{1,i}(t,4)/sum(bank{1,i}(t,1:2)); + else + changeExt = (bank{1,i}(t,2)+bank{1,i}(t,1)) - bank{1,i}(t,4)/er; + %external liabilities cannot be <0 + changeExt = max([min([changeExt;bank{1,i}(t,5);bank{1,i}(t,2)]),0]); + %update external assets + bank{1,i}(t,2) = bank{1,i}(t,2)-changeExt; + %update external liabilites + bank{1,i}(t,5) = bank{1,i}(t,5)-changeExt; + bank{1,i}(t,4) = max(sum(bank{1,i}(t,1:2))-sum(bank{1,i}(t,[3 5])),0); + bank{1,i}(t,6) = bank{1,i}(t,4)>0; + bank{1,i}(t,7) = bank{1,i}(t,4)/sum(bank{1,i}(t,1:2)); + liabTot(i) = bank{1,i}(t,3) + bank{1,i}(t,5); + end + end + end + extA(i) = bank{1,i}(t,2); + end + %update change + if (isequal(default,default1)) + change = 1; + else + default1 = default; + t = t+1; + end + end + mcERVec(mc) = length(find(abs(default-nFD)~=0))/length(default); + dCore(mc) = length(find(abs(default(eAdj)-nFD(eAdj))~=0))/length(default(eAdj)); + dPer(mc) = length(find(abs(default(setdiff(1:n,eAdj))-nFD(setdiff(1:n,eAdj)))~=0))/length(default(setdiff(1:n,eAdj))); + end + nErFD(erv) = mean(nMCFD); + erVecResults(erv) = mean(mcERVec); + dCoreFin(erv) = mean(dCore); + dPerFin(erv) = mean(dPer); +end + + +erVecIP = erVec(1):0.001:erVec(end); +erVecResultsIP = interp1(erVec,erVecResults,erVecIP); +nErFDIP = interp1(erVec,nErFD,erVecIP); +dCoreFinIP = interp1(erVec,dCoreFin,erVecIP); +dPerFinIP = interp1(erVec,dPerFin,erVecIP); + + + + +%% plotting + +fig2 = figure(1); + set(fig2,'defaulttextinterpreter','latex'); + set(fig2, 'defaultAxesTickLabelInterpreter','latex') ; + grid on; + p1 = plot(erVecIP,erVecResultsIP,'color','blue'); + hold on; + p2 = plot(erVecIP,nErFDIP,'color','red'); + hold on; + p3 = plot(erVecIP,dCoreFinIP,'color','magenta'); + hold on; + p4 = plot(erVecIP,dPerFinIP,'color','green'); + xlabel('\textit{ER}'); + ylabel('relative \#defaults'); + title(sprintf('FDA simulation with different equity ratios, post-crisis: a=%d, b=%d',distn.a, distn.b),'fontsize',14,'fontweight','bold'); + legend([p1 p2 p3 p4], {'Contagious','Fundamental', 'Core contagion' 'Periphery contagion'},'Location','southoutside','orientation','horizontal'); + print('C:\Users\Timo Schäfer\Documents\Banking and Finance\HS 2015\Computational Social Sciences with Matlab\Text\CBPlotMixedPost', '-dpng'); + +axoptions={'scaled y ticks = false',... + 'y tick label style={/pgf/number format/.cd, fixed, fixed zerofill,precision=2}',... + 'scaled x ticks = false',... + 'x tick label style={/pgf/number format/.cd, fixed, fixed zerofill,precision=2}'}; +matlab2tikz('C:\Users\Timo Schäfer\Documents\Banking and Finance\HS 2015\Computational Social Sciences with Matlab\Text\CBPlotMixedPost.tex','extraAxisOptions',axoptions); + diff --git a/code/simCBPre.m b/code/simCBPre.m new file mode 100644 index 000000000..87684e6c2 --- /dev/null +++ b/code/simCBPre.m @@ -0,0 +1,203 @@ +%% setup +%original liability matrix in absolute numbers +origL = adj .* repmat(ibA,n,1)'; +%create relative liability matrix +relL1 = sum(origL,1)+liabTot; +relL = origL ./ repmat(relL1,n,1); + + +%draw shock on external assets risk factor (rf) from beta distn +distn = makedist('beta',1,1); +mc1= 250; +%% start MC simulation here +erVec = (0.0:0.01:0.4); + +%define stressed banks +stressedBanks = 1:50; +degRank = [indeg (1:n)']; +degRank = sortrows(degRank,[-1 2]); +stressedBanks = degRank(stressedBanks,2); +%set banks that purse equity adjustment, rest divesture strategy +eAdj = 1:ncAT; +for i=2:16 + aux = sum(sum(ctr(1:(i-1),1:2)))+1; + eAdj = [eAdj, aux:(aux+ctr(i,1)-1)]; +end + +for erv=1:length(erVec) + er = erVec(erv); + for mc = 1:mc1 + rf = distn.random(1); + for i=1:n + bank{1,i}(2,:) = bank{1,i}(1,:); + %new value of external assets + if ismember(i,stressedBanks) + bank{1,i}(2,2) = (1-rf)*bank{1,i}(1,2); + %equity is lowered + bank{1,i}(2,4) = max(bank{1,i}(2,4) - rf*bank{1,i}(1,2),0); + %check solvency (==1) that is already the first round + bank{1,i}(2,6) = bank{1,i}(2,4)>0; + end + if (bank{1,i}(2,6)==1) + %new equity ratio in t=2 + bank{1,i}(2,7) = bank{1,i}(2,4)/sum(bank{1,i}(2,1:2)); + %if under minimum er + if (bank{1,i}(2,7)0; + bank{1,i}(2,7) = bank{1,i}(2,4)/sum(bank{1,i}(2,1:2)); + %else (periphery) sell external assets + else + changeExt = sum(bank{1,i}(2,1:2)) - bank{1,i}(2,4)/er; + %external liabilities cannot be <0 + changeExt = max([min([changeExt;bank{1,i}(2,5);bank{1,i}(2,2)]),0]); + %update external assets + bank{1,i}(2,2) = bank{1,i}(2,2)-changeExt; + %update external liabilites + bank{1,i}(2,5) = bank{1,i}(2,5)-changeExt; + liabTot(i) = bank{1,i}(2,3) + bank{1,i}(2,5) ; + bank{1,i}(2,6) = bank{1,i}(2,4)>0; + bank{1,i}(2,7) = bank{1,i}(2,4)/sum(bank{1,i}(2,1:2)); + end + end + end + extA(i) = bank{1,i}(2,2); + end + + %fundamental defaults + for i=1:n + nFD(i) = bank{1,i}(2,6); + end + nMCFD(mc) = length(find(nFD==0))/length(nFD); + %calculate clearing vector using FDA, each round banks adjust their equity + %ratio when necessary (and possible) + change = 0; + %initial index for bank data + t = 3; + default1 = ones(n,1)'; + while change==0 + %set up default vector + for i=1:n + default(i) = bank{1,i}(t-1,6); + end + %assets in case of no default + for i=1:n + %when solvent pay full + if (default(i)==1) + totPay(i) = bank{1,i}(1,3); + end + end + relL1 = sum(origL,1)+liabTot; + relL = origL ./ repmat(relL1,n,1); + for i=1:n + if (default(i)==0) + %if not, pay only rest (assuming proportionality) + totPay(i) = extA(i) + (liabTot(default==1)*relL(default==1,i)); + end + end + aux = eye(length(find(default==0))) - relL(default==0,default==0)'; + %solve linear equation + totPayDef = aux\totPay(default==0)'; + totPay(default==0) = totPayDef; + %update payment matrix with new payment vector + matPay = relL .* repmat(totPay,n,1); + %add update of bank values for all i + for i=1:n + bank{1,i}(t,1) = min(sum(matPay(i,:)),bank{1,i}(1,1)); + bank{1,i}(t,2) = bank{1,i}(t-1,2); + bank{1,i}(t,3) = bank{1,i}(1,3); + bank{1,i}(t,5) = bank{1,i}(t-1,5); + bank{1,i}(t,4) = max(sum(bank{1,i}(t,1:2))-sum(bank{1,i}(t,[3 5])),0); + bank{1,i}(t,6) = bank{1,i}(t,4)>0; + bank{1,i}(t,7) = bank{1,i}(t,4)/sum(bank{1,i}(t,1:2)); + if (bank{1,i}(t-1,6)==0) + bank{1,i}(t,[1:3 5]) = bank{1,i}(t-1,[1:3 5]); + bank{1,i}(t,4) = 0; + bank{1,i}(t,6) = 0; + bank{1,i}(t,7) = 0; + end + if (bank{1,i}(t,6)==1) + if (bank{1,i}(t,7)0; + bank{1,i}(t,7) = bank{1,i}(t,4)/sum(bank{1,i}(t,1:2)); + else + changeExt = (bank{1,i}(t-1,2)+bank{1,i}(t,1)) - bank{1,i}(t,4)/er; + changeExt = max([min([changeExt;bank{1,i}(t,5);bank{1,i}(t,2)]),0]); + %update external assets + bank{1,i}(t,2) = bank{1,i}(t,2)-changeExt; + %update external liabilites + bank{1,i}(t,5) = bank{1,i}(t,5)-changeExt; + bank{1,i}(t,4) = max(sum(bank{1,i}(t,1:2))-sum(bank{1,i}(t,[3 5])),0); + bank{1,i}(t,6) = bank{1,i}(t,4)>0; + bank{1,i}(t,7) = bank{1,i}(t,4)/sum(bank{1,i}(t,1:2)); + liabTot(i) = bank{1,i}(t,3) + bank{1,i}(t,5); + end + end + end + extA(i) = bank{1,i}(t,2); + end + %update change + if (isequal(default,default1)) + change = 1; + else + default1 = default; + t = t+1; + end + end + mcERVec(mc) = length(find(abs(default-nFD)~=0))/length(default); + dCore(mc) = length(find(abs(default(eAdj)-nFD(eAdj))~=0))/length(default(eAdj)); + dPer(mc) = length(find(abs(default(setdiff(1:n,eAdj))-nFD(setdiff(1:n,eAdj)))~=0))/length(default(setdiff(1:n,eAdj))); + end + nErFD(erv) = mean(nMCFD); + erVecResults(erv) = mean(mcERVec); + dCoreFin(erv) = mean(dCore); + dPerFin(erv) = mean(dPer); +end + + +erVecIP1 = erVec(1):0.001:erVec(end); +erVecResultsIP1 = interp1(erVec,erVecResults,erVecIP); +nErFDIP1 = interp1(erVec,nErFD,erVecIP); +dCoreFinIP1 = interp1(erVec,dCoreFin,erVecIP); +dPerFinIP1 = interp1(erVec,dPerFin,erVecIP); + +%% plotting + +fig1 = figure(1); + set(fig1,'defaulttextinterpreter','latex'); + set(fig1, 'defaultAxesTickLabelInterpreter','latex') ; + grid on; + p1 = plot(erVecIP1,erVecResultsIP1,'color','blue'); + hold on; + p2 = plot(erVecIP1,nErFDIP1,'color','red'); + hold on; + p3 = plot(erVecIP1,dCoreFinIP1,'color','magenta'); + hold on; + p4 = plot(erVecIP1,dPerFinIP1,'color','green'); + xlabel('\textit{ER}'); + ylabel('relative \#defaults'); + title(sprintf('FDA simulation with different equity ratios, pre-crisis: a=%d, b=%d',distn.a, distn.b),'fontsize',14,'fontweight','bold'); + legend([p1 p2 p3 p4], {'Contagious','Fundamental','Core contagion','Periphery contagion'},'Location','southoutside','orientation','horizontal'); + print('C:\Users\Timo Schäfer\Documents\Banking and Finance\HS 2015\Computational Social Sciences with Matlab\Text\CBPlotMixed', '-dpng'); + +axoptions={'scaled y ticks = false',... + 'y tick label style={/pgf/number format/.cd, fixed, fixed zerofill,precision=2}',... + 'scaled x ticks = false',... + 'x tick label style={/pgf/number format/.cd, fixed, fixed zerofill,precision=2}'}; +matlab2tikz('C:\Users\Timo Schäfer\Documents\Banking and Finance\HS 2015\Computational Social Sciences with Matlab\Text\CBPlotMixed.tex','extraAxisOptions',axoptions); + diff --git a/proposal/proposal_css.pdf 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c8896a32b83e64b5d31c75150e0dfbfa8c580cb9 Mon Sep 17 00:00:00 2001 From: schatimo Date: Tue, 15 Dec 2015 11:18:12 +0100 Subject: [PATCH 20/27] presentation presentation Tue 15 Dec, 2015 --- presentation/README.md | 4 +--- presentation/css_p.pdf | Bin 0 -> 312594 bytes 2 files changed, 1 insertion(+), 3 deletions(-) create mode 100644 presentation/css_p.pdf diff --git a/presentation/README.md b/presentation/README.md index 04680c0d6..21d1f8f97 100644 --- a/presentation/README.md +++ b/presentation/README.md @@ -1,3 +1 @@ -# Presentation Folder - -Add your presentation here...but first finish the code and the report! +current presentation file for Tue 15 Dec, 2015 \ No newline at end of file diff --git a/presentation/css_p.pdf b/presentation/css_p.pdf new file mode 100644 index 0000000000000000000000000000000000000000..383e4f0c7c310da2a73772da1d752b50e04b31ed GIT binary patch literal 312594 zcmd3O1yohr+O~9~bT<;xn@uC#UD6@3>Fy2@6r>T521%u)1?lb%>F!ce`ro4GTuyxV zc)!a(#yBeF1)GLzaEm?QG?k}@fi 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00:00:00 2001 From: schatimo Date: Sat, 17 Dec 2016 12:20:05 +0100 Subject: [PATCH 25/27] Delete simCBPre.m --- code/simCBPre.m | 203 ------------------------------------------------ 1 file changed, 203 deletions(-) delete mode 100644 code/simCBPre.m diff --git a/code/simCBPre.m b/code/simCBPre.m deleted file mode 100644 index 87684e6c2..000000000 --- a/code/simCBPre.m +++ /dev/null @@ -1,203 +0,0 @@ -%% setup -%original liability matrix in absolute numbers -origL = adj .* repmat(ibA,n,1)'; -%create relative liability matrix -relL1 = sum(origL,1)+liabTot; -relL = origL ./ repmat(relL1,n,1); - - -%draw shock on external assets risk factor (rf) from beta distn -distn = makedist('beta',1,1); -mc1= 250; -%% start MC simulation here -erVec = (0.0:0.01:0.4); - -%define stressed banks -stressedBanks = 1:50; -degRank = [indeg (1:n)']; -degRank = sortrows(degRank,[-1 2]); -stressedBanks = degRank(stressedBanks,2); -%set banks that purse equity adjustment, rest divesture strategy -eAdj = 1:ncAT; -for i=2:16 - aux = sum(sum(ctr(1:(i-1),1:2)))+1; - eAdj = [eAdj, aux:(aux+ctr(i,1)-1)]; -end - -for erv=1:length(erVec) - er = erVec(erv); - for mc = 1:mc1 - rf = distn.random(1); - for i=1:n - bank{1,i}(2,:) = bank{1,i}(1,:); - %new value of external assets - if ismember(i,stressedBanks) - bank{1,i}(2,2) = (1-rf)*bank{1,i}(1,2); - %equity is lowered - bank{1,i}(2,4) = max(bank{1,i}(2,4) - rf*bank{1,i}(1,2),0); - %check solvency (==1) that is already the first round - bank{1,i}(2,6) = bank{1,i}(2,4)>0; - end - if (bank{1,i}(2,6)==1) - %new equity ratio in t=2 - bank{1,i}(2,7) = bank{1,i}(2,4)/sum(bank{1,i}(2,1:2)); - %if under minimum er - if (bank{1,i}(2,7)0; - bank{1,i}(2,7) = bank{1,i}(2,4)/sum(bank{1,i}(2,1:2)); - %else (periphery) sell external assets - else - changeExt = sum(bank{1,i}(2,1:2)) - bank{1,i}(2,4)/er; - %external liabilities cannot be <0 - changeExt = max([min([changeExt;bank{1,i}(2,5);bank{1,i}(2,2)]),0]); - %update external assets - bank{1,i}(2,2) = bank{1,i}(2,2)-changeExt; - %update external liabilites - bank{1,i}(2,5) = bank{1,i}(2,5)-changeExt; - liabTot(i) = bank{1,i}(2,3) + bank{1,i}(2,5) ; - bank{1,i}(2,6) = bank{1,i}(2,4)>0; - bank{1,i}(2,7) = bank{1,i}(2,4)/sum(bank{1,i}(2,1:2)); - end - end - end - extA(i) = bank{1,i}(2,2); - end - - %fundamental defaults - for i=1:n - nFD(i) = bank{1,i}(2,6); - end - nMCFD(mc) = length(find(nFD==0))/length(nFD); - %calculate clearing vector using FDA, each round banks adjust their equity - %ratio when necessary (and possible) - change = 0; - %initial index for bank data - t = 3; - default1 = ones(n,1)'; - while change==0 - %set up default vector - for i=1:n - default(i) = bank{1,i}(t-1,6); - end - %assets in case of no default - for i=1:n - %when solvent pay full - if (default(i)==1) - totPay(i) = bank{1,i}(1,3); - end - end - relL1 = sum(origL,1)+liabTot; - relL = origL ./ repmat(relL1,n,1); - for i=1:n - if (default(i)==0) - %if not, pay only rest (assuming proportionality) - totPay(i) = extA(i) + (liabTot(default==1)*relL(default==1,i)); - end - end - aux = eye(length(find(default==0))) - relL(default==0,default==0)'; - %solve linear equation - totPayDef = aux\totPay(default==0)'; - totPay(default==0) = totPayDef; - %update payment matrix with new payment vector - matPay = relL .* repmat(totPay,n,1); - %add update of bank values for all i - for i=1:n - bank{1,i}(t,1) = min(sum(matPay(i,:)),bank{1,i}(1,1)); - bank{1,i}(t,2) = bank{1,i}(t-1,2); - bank{1,i}(t,3) = bank{1,i}(1,3); - bank{1,i}(t,5) = bank{1,i}(t-1,5); - bank{1,i}(t,4) = max(sum(bank{1,i}(t,1:2))-sum(bank{1,i}(t,[3 5])),0); - bank{1,i}(t,6) = bank{1,i}(t,4)>0; - bank{1,i}(t,7) = bank{1,i}(t,4)/sum(bank{1,i}(t,1:2)); - if (bank{1,i}(t-1,6)==0) - bank{1,i}(t,[1:3 5]) = bank{1,i}(t-1,[1:3 5]); - bank{1,i}(t,4) = 0; - bank{1,i}(t,6) = 0; - bank{1,i}(t,7) = 0; - end - if (bank{1,i}(t,6)==1) - if (bank{1,i}(t,7)0; - bank{1,i}(t,7) = bank{1,i}(t,4)/sum(bank{1,i}(t,1:2)); - else - changeExt = (bank{1,i}(t-1,2)+bank{1,i}(t,1)) - bank{1,i}(t,4)/er; - changeExt = max([min([changeExt;bank{1,i}(t,5);bank{1,i}(t,2)]),0]); - %update external assets - bank{1,i}(t,2) = bank{1,i}(t,2)-changeExt; - %update external liabilites - bank{1,i}(t,5) = bank{1,i}(t,5)-changeExt; - bank{1,i}(t,4) = max(sum(bank{1,i}(t,1:2))-sum(bank{1,i}(t,[3 5])),0); - bank{1,i}(t,6) = bank{1,i}(t,4)>0; - bank{1,i}(t,7) = bank{1,i}(t,4)/sum(bank{1,i}(t,1:2)); - liabTot(i) = bank{1,i}(t,3) + bank{1,i}(t,5); - end - end - end - extA(i) = bank{1,i}(t,2); - end - %update change - if (isequal(default,default1)) - change = 1; - else - default1 = default; - t = t+1; - end - end - mcERVec(mc) = length(find(abs(default-nFD)~=0))/length(default); - dCore(mc) = length(find(abs(default(eAdj)-nFD(eAdj))~=0))/length(default(eAdj)); - dPer(mc) = length(find(abs(default(setdiff(1:n,eAdj))-nFD(setdiff(1:n,eAdj)))~=0))/length(default(setdiff(1:n,eAdj))); - end - nErFD(erv) = mean(nMCFD); - erVecResults(erv) = mean(mcERVec); - dCoreFin(erv) = mean(dCore); - dPerFin(erv) = mean(dPer); -end - - -erVecIP1 = erVec(1):0.001:erVec(end); -erVecResultsIP1 = interp1(erVec,erVecResults,erVecIP); -nErFDIP1 = interp1(erVec,nErFD,erVecIP); -dCoreFinIP1 = interp1(erVec,dCoreFin,erVecIP); -dPerFinIP1 = interp1(erVec,dPerFin,erVecIP); - -%% plotting - -fig1 = figure(1); - set(fig1,'defaulttextinterpreter','latex'); - set(fig1, 'defaultAxesTickLabelInterpreter','latex') ; - grid on; - p1 = plot(erVecIP1,erVecResultsIP1,'color','blue'); - hold on; - p2 = plot(erVecIP1,nErFDIP1,'color','red'); - hold on; - p3 = plot(erVecIP1,dCoreFinIP1,'color','magenta'); - hold on; - p4 = plot(erVecIP1,dPerFinIP1,'color','green'); - xlabel('\textit{ER}'); - ylabel('relative \#defaults'); - title(sprintf('FDA simulation with different equity ratios, pre-crisis: a=%d, b=%d',distn.a, distn.b),'fontsize',14,'fontweight','bold'); - legend([p1 p2 p3 p4], {'Contagious','Fundamental','Core contagion','Periphery contagion'},'Location','southoutside','orientation','horizontal'); - print('C:\Users\Timo Schäfer\Documents\Banking and Finance\HS 2015\Computational Social Sciences with Matlab\Text\CBPlotMixed', '-dpng'); - -axoptions={'scaled y ticks = false',... - 'y tick label style={/pgf/number format/.cd, fixed, fixed zerofill,precision=2}',... - 'scaled x ticks = false',... - 'x tick label style={/pgf/number format/.cd, fixed, fixed zerofill,precision=2}'}; -matlab2tikz('C:\Users\Timo Schäfer\Documents\Banking and Finance\HS 2015\Computational Social Sciences with Matlab\Text\CBPlotMixed.tex','extraAxisOptions',axoptions); - From 7f83beb1aa9935265e34ad0080604e641ee2bc50 Mon Sep 17 00:00:00 2001 From: schatimo Date: Sat, 17 Dec 2016 12:20:13 +0100 Subject: [PATCH 26/27] Delete simCBPost.m --- code/simCBPost.m | 256 ----------------------------------------------- 1 file changed, 256 deletions(-) delete mode 100644 code/simCBPost.m diff --git a/code/simCBPost.m b/code/simCBPost.m deleted file mode 100644 index 9fd998bee..000000000 --- a/code/simCBPost.m +++ /dev/null @@ -1,256 +0,0 @@ -%% setup -%original liability matrix in absolute numbers -origL = adj .* repmat(ibA,n,1)'; -%create relative liability matrix -relL1 = sum(origL,1)+liabTot; -relL = origL ./ repmat(relL1,n,1); - - -%draw shock on external assets risk factor (rf) from beta distn -distn = makedist('beta',1,1); -mc1= 250; -%% start MC simulation here -clear dPerFin dCoreFin nErFD erVecResults; -erVec = (0:0.01:0.4); - -%define stressed banks -stressedBanks = 1:50; -degRank = [indeg (1:n)']; -degRank = sortrows(degRank,[-1 2]); -stressedBanks = degRank(stressedBanks,2); -%set banks that purse equity adjustment, rest divesture strategy -eAdj = 1:ncAT; -for j=2:16 - aux = sum(sum(ctr(1:(j-1),1:2)))+1; - eAdj = [eAdj, aux:(aux+ctr(j,1)-1)]; -end - -for erv=1:length(erVec) - er = erVec(erv); - for mc = 1:mc1 - rf = distn.random(1); - for i = 1:n - bank{1,i}(1,1) = data(i,3); - bank{1,i}(1,2) = data(i,2)-data(i,3); - end - %vector of interbank assets (claims) of n banks - ibA = cell2mat(bank); - ibA = ibA(1,1:2:2*n); - %remaing variables - for i= 1:n - %L_IB via outgoing links - bank{1,i}(1,3) = ibA * adj(:,i); - %equity from balance sheet - bank{1,i}(1,4) = data(i,4); - %L_E endogenous - bank{1,i}(1,5) = sum(bank{1,i}(1,1:2))-sum(bank{1,i}(1,3:4)); - %check solvency - bank{1,i}(1,6) = bank{1,i}(1,4)>0; - %current equity ratio - bank{1,i}(1,7) = bank{1,i}(1,4)/sum(bank{1,i}(1,1:2)); - end - - for i=1:n - if (bank{1,i}(1,6)==1) - %if under minimum er - if (bank{1,i}(1,7)0; - bank{1,i}(1,7) = bank{1,i}(1,4)/sum(bank{1,i}(1,1:2)); - else - changeExt = sum(bank{1,i}(1,1:2)) - bank{1,i}(1,4)/er; - %external liabilities cannot be <0 - changeExt = max([min([changeExt;bank{1,i}(1,5);bank{1,i}(1,2)]),0]); - %update external assets - bank{1,i}(1,2) = bank{1,i}(1,2)-changeExt; - %update external liabilites - bank{1,i}(1,5) = bank{1,i}(1,5)-changeExt; - liabTot(i) = bank{1,i}(1,3) + bank{1,i}(1,5) ; - bank{1,i}(1,7) = bank{1,i}(1,4)/sum(bank{1,i}(1,1:2)); - end - end - end -%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% - bank{1,i}(2,:) = bank{1,i}(1,:); - %new value of external assets - %determine which banks to stress - if ismember(i,stressedBanks) - bank{1,i}(2,2) = (1-rf)*bank{1,i}(1,2); - %equity is lowered - bank{1,i}(2,4) = max(bank{1,i}(2,4) - rf*bank{1,i}(1,2),0); - %check solvency (==1) that is already the first round - end - bank{1,i}(2,6) = bank{1,i}(2,4)>0; - if (bank{1,i}(2,6)==1) - %new equity ratio in t=2 - bank{1,i}(2,7) = bank{1,i}(2,4)/sum(bank{1,i}(2,1:2)); - %if under minimum er, then sell at least external assets - if (bank{1,i}(2,7)0; - bank{1,i}(2,7) = bank{1,i}(2,4)/sum(bank{1,i}(2,1:2)); - else - changeExt = (bank{1,i}(2,2)+bank{1,i}(2,1)) - bank{1,i}(2,4)/er; - %external liabilities cannot be <0 - changeExt = max([min([changeExt;bank{1,i}(2,5);bank{1,i}(2,2)]),0]); - %update external assets - bank{1,i}(2,2) = bank{1,i}(2,2)-changeExt; - %update external liabilites - bank{1,i}(2,5) = bank{1,i}(2,5)-changeExt; - liabTot(i) = bank{1,i}(2,3) + bank{1,i}(2,5) ; - bank{1,i}(2,6) = bank{1,i}(2,4)>0; - bank{1,i}(2,7) = bank{1,i}(2,4)/sum(bank{1,i}(2,1:2)); - end - end - end - extA(i) = bank{1,i}(2,2); - end - - %fundamental defaults - for i=1:n - nFD(i) = bank{1,i}(2,6); - end - nMCFD(mc) = length(find(nFD==0))/length(nFD); - - %calculate clearing vector using FDA, each round banks adjust their equity - %ratio when necessary (and possible) - change = 0; - %initial index for bank data - t = 3; - default1 = ones(n,1)'; - while change==0 - %set up default vector - for i=1:n - default(i) = bank{1,i}(t-1,6); - end - %assets in case of no default - for i=1:n - %when solvent pay full - if (default(i)==1) - totPay(i) = bank{1,i}(1,3); - end - end - relL1 = sum(origL,1)+liabTot; - relL = origL ./ repmat(relL1,n,1); - for i=1:n - if (default(i)==0) - %if not, pay only rest (assuming proportionality) - totPay(i) = extA(i) + (liabTot(default==1)*relL(default==1,i)); - end - end - aux = eye(length(find(default==0))) - relL(default==0,default==0)'; - %solve linear equation - totPayDef = aux\totPay(default==0)'; - totPay(default==0) = totPayDef; - %update payment matrix with new payment vector - matPay = relL .* repmat(totPay,n,1); - %add update of bank values for all i - for i=1:n - bank{1,i}(t,1) = min(sum(matPay(i,:)),bank{1,i}(1,1)); - bank{1,i}(t,2) = bank{1,i}(t-1,2); - bank{1,i}(t,3) = bank{1,i}(1,3); - bank{1,i}(t,5) = bank{1,i}(t-1,5); - bank{1,i}(t,4) = max(sum(bank{1,i}(t,1:2))-sum(bank{1,i}(t,[3 5])),0); - bank{1,i}(t,6) = bank{1,i}(t,4)>0; - bank{1,i}(t,7) = bank{1,i}(t,4)/sum(bank{1,i}(t,1:2)); - if (bank{1,i}(t-1,6)==0) - bank{1,i}(t,[1:3 5]) = bank{1,i}(t-1,[1:3 5]); - bank{1,i}(t,4) = 0; - bank{1,i}(t,6) = 0; - bank{1,i}(t,7) = 0; - end - if (bank{1,i}(t,6)==1) - %new equity ratio - %if under minimum er and solvent, then sell at least external assets - if (bank{1,i}(t,7)0; - bank{1,i}(t,7) = bank{1,i}(t,4)/sum(bank{1,i}(t,1:2)); - else - changeExt = (bank{1,i}(t,2)+bank{1,i}(t,1)) - bank{1,i}(t,4)/er; - %external liabilities cannot be <0 - changeExt = max([min([changeExt;bank{1,i}(t,5);bank{1,i}(t,2)]),0]); - %update external assets - bank{1,i}(t,2) = bank{1,i}(t,2)-changeExt; - %update external liabilites - bank{1,i}(t,5) = bank{1,i}(t,5)-changeExt; - bank{1,i}(t,4) = max(sum(bank{1,i}(t,1:2))-sum(bank{1,i}(t,[3 5])),0); - bank{1,i}(t,6) = bank{1,i}(t,4)>0; - bank{1,i}(t,7) = bank{1,i}(t,4)/sum(bank{1,i}(t,1:2)); - liabTot(i) = bank{1,i}(t,3) + bank{1,i}(t,5); - end - end - end - extA(i) = bank{1,i}(t,2); - end - %update change - if (isequal(default,default1)) - change = 1; - else - default1 = default; - t = t+1; - end - end - mcERVec(mc) = length(find(abs(default-nFD)~=0))/length(default); - dCore(mc) = length(find(abs(default(eAdj)-nFD(eAdj))~=0))/length(default(eAdj)); - dPer(mc) = length(find(abs(default(setdiff(1:n,eAdj))-nFD(setdiff(1:n,eAdj)))~=0))/length(default(setdiff(1:n,eAdj))); - end - nErFD(erv) = mean(nMCFD); - erVecResults(erv) = mean(mcERVec); - dCoreFin(erv) = mean(dCore); - dPerFin(erv) = mean(dPer); -end - - -erVecIP = erVec(1):0.001:erVec(end); -erVecResultsIP = interp1(erVec,erVecResults,erVecIP); -nErFDIP = interp1(erVec,nErFD,erVecIP); -dCoreFinIP = interp1(erVec,dCoreFin,erVecIP); -dPerFinIP = interp1(erVec,dPerFin,erVecIP); - - - - -%% plotting - -fig2 = figure(1); - set(fig2,'defaulttextinterpreter','latex'); - set(fig2, 'defaultAxesTickLabelInterpreter','latex') ; - grid on; - p1 = plot(erVecIP,erVecResultsIP,'color','blue'); - hold on; - p2 = plot(erVecIP,nErFDIP,'color','red'); - hold on; - p3 = plot(erVecIP,dCoreFinIP,'color','magenta'); - hold on; - p4 = plot(erVecIP,dPerFinIP,'color','green'); - xlabel('\textit{ER}'); - ylabel('relative \#defaults'); - title(sprintf('FDA simulation with different equity ratios, post-crisis: a=%d, b=%d',distn.a, distn.b),'fontsize',14,'fontweight','bold'); - legend([p1 p2 p3 p4], {'Contagious','Fundamental', 'Core contagion' 'Periphery contagion'},'Location','southoutside','orientation','horizontal'); - print('C:\Users\Timo Schäfer\Documents\Banking and Finance\HS 2015\Computational Social Sciences with Matlab\Text\CBPlotMixedPost', '-dpng'); - -axoptions={'scaled y ticks = false',... - 'y tick label style={/pgf/number format/.cd, fixed, fixed zerofill,precision=2}',... - 'scaled x ticks = false',... - 'x tick label style={/pgf/number format/.cd, fixed, fixed zerofill,precision=2}'}; -matlab2tikz('C:\Users\Timo Schäfer\Documents\Banking and Finance\HS 2015\Computational Social Sciences with Matlab\Text\CBPlotMixedPost.tex','extraAxisOptions',axoptions); - From bc35afbbb17770a7b7a5aeb5ee8717326fc2f8ad Mon Sep 17 00:00:00 2001 From: schatimo Date: Sat, 17 Dec 2016 12:20:33 +0100 Subject: [PATCH 27/27] Delete simBailout.m --- code/simBailout.m | 232 ---------------------------------------------- 1 file changed, 232 deletions(-) delete mode 100644 code/simBailout.m diff --git a/code/simBailout.m b/code/simBailout.m deleted file mode 100644 index a68fcf441..000000000 --- a/code/simBailout.m +++ /dev/null @@ -1,232 +0,0 @@ -%% setup - -%original liability matrix in absolute numbers -origL = adj .* repmat(ibA,n,1)'; -%create relative liability matrix -relL1 = sum(origL,1)+liabTot; -relL = origL ./ repmat(relL1,n,1); - -% range of limits of banks to save (EigLim) -Lim = 0:1:40; -% threshold when bailouts start -thold = n/20; -% eigencentrality in the bank network -[EigC, EigInd] = eigencentr(origL); -eigenM = [EigC EigInd]; -% %equity ratio as defined by Basel III -eqr = 0.045; - -% # MC simulations -mc1 = 100; - -%Bailout costs for lender of last resort -BailC = zeros(length(Lim),mc1); -% loss of equity through shock -shockLoss = zeros(length(Lim),mc1); - -%draw shock on external assets risk factor -distn = makedist('beta',1,1); -% define banks to be stressed by degree centrality, outdegree -outdeg = fn.outdegree; -outdeg = [(1:n)' outdeg]; -outdeg = sortrows(outdeg,-2); -stressedBanks = outdeg(1:30,1); - - -%% start MC simulation here -% range of limits of banks to save (EigLim) -for bRange = 1:length(Lim) - EigLim = Lim(bRange); - % draws per value of EigLim - for mc = 1:mc1 - rf = distn.random(1); - %update bank variables for shock - for i=1:n - bank{1,i}(2,:) = bank{1,i}(1,:); - if ismember(i,stressedBanks) - bank{1,i}(2,2) = (1-rf)*bank{1,i}(1,2); - bank{1,i}(2,4) = max(bank{1,i}(2,4) - rf*bank{1,i}(1,2),0); - bank{1,i}(2,8) = bank{1,i}(1,4) - rf*bank{1,i}(1,2); - shockLoss(bRange,mc) = shockLoss(bRange,mc) + rf*bank{1,i}(1,2); - end - %check solvency (==1) that is already the first round - bank{1,i}(2,6) = bank{1,i}(2,4)>0; - %new equity ratio - bank{1,i}(2,7) = bank{1,i}(2,4)/sum(bank{1,i}(2,1:2)); - extA(i) = bank{1,i}(2,2); - end - - %fundamental defaults - for i=1:n - nFD(i) = bank{1,i}(2,6); - end - - %calculate clearing vector using FDA, - change = 0; - - %set of banks saved - setBanks = []; - - %set up default vector - for i=1:n - default(i) = bank{1,i}(2,6); - end - - - - %initial index for bank data - t = 3; - default1 = ones(n,1)'; - - while change==0 - %set up default vector - for i=1:n - default(i) = bank{1,i}(t-1,6); - end - - %assets in case of default; payment vector - for i=1:n - %when solvent pay full - if (default(i)==1) - totPay(i) = bank{1,i}(1,3); - end - end - - relL1 = sum(origL,1)+liabTot; - relL = origL ./ repmat(relL1,n,1); - for i=1:n - if (default(i)==0) - %if not, pay only rest (assuming proportionality) - totPay(i) = extA(i) + (liabTot(default==1)*relL(default==1,i)); - end - end - - aux3 = eye(length(find(default==0))) - relL(default==0,default==0)'; - %solve linear equation - totPayDef = aux3\totPay(default==0)'; - totPay(default==0) = totPayDef; - %update payment matrix with new payment vector totpay',n,1 - matPay = relL .* repmat(totPay,n,1); - %add update of bank values for all i; contagion takes place - for i=1:n - bank{1,i}(t,1) = sum(matPay(i,:)); - bank{1,i}(t,2) = bank{1,i}(t-1,2); - bank{1,i}(t,3) = bank{1,i}(1,3); - bank{1,i}(t,5) = bank{1,i}(t-1,5); - bank{1,i}(t,4) = max(sum(bank{1,i}(t,1:2))-sum(bank{1,i}(t,[3 5])),0); - bank{1,i}(t,6) = bank{1,i}(t,4)>0; - bank{1,i}(t,7) = bank{1,i}(t,4)/sum(bank{1,i}(t,1:2)); - bank{1,i}(t,8) = sum(bank{1,i}(t,1:2))-sum(bank{1,i}(t,[3 5])); - if (bank{1,i}(t-1,6)==0) - bank{1,i}(t,4) = 0; - bank{1,i}(t,6) = 0; - bank{1,i}(t,7) = 0; - end - default(i) = bank{1,i}(t,6); - extA(i) = bank{1,i}(t,2); - liabTot(i) = bank{1,i}(t,3) + bank{1,i}(t,5); - - end - %update change - if (isequal(default,default1)); - change = 1; - else - %condition for bailout; threshold 5% - if sum(default(:)==0) > thold; - aux2 = find(~default)'; - aux1 = EigInd(ismember(EigInd,aux2)); - % aux1 = randperm(numel(aux2)); %alternative for random - % pick - %min of all defaults in t or EigLim - aux = aux2(1:min(length(aux1),EigLim)); - %bailout injection - for i=1:n - if ismember(i, aux)&& ~ismember(i,setBanks) - setBanks = [setBanks i]; - injection = (sum(bank{1,i}(t,[3 5])) - (1-eqr)*(sum(bank{1,i}(t,1:2))))/(1-eqr); - bank{1,i}(t,2) = injection + bank{1,i}(t,2); - bank{1,i}(t,8) = sum(bank{1,i}(t,1:2))-sum(bank{1,i}(t,[3 5])); - bank{1,i}(t,4) = sum(bank{1,i}(t,1:2))-sum(bank{1,i}(t,[3 5])); - %update external assets and equity ratio after bailouts - extA(i) = bank{1,i}(t,2); - bank{1,i}(t,7) = bank{1,i}(t,4)/sum(bank{1,i}(t,1:2)); - bank{1,i}(t,6) = bank{1,i}(t,4)>0; - % update bailout costs - BailC(bRange,mc) = BailC(bRange,mc) + injection; - default(i) = bank{1,i}(t,6); - extA(i) = bank{1,i}(t,2); - liabTot(i) = bank{1,i}(t,3) + bank{1,i}(t,5); - - end - end - end - default1 = default; - t = t+1; - end - end - % total defaults relative to number of all banks - totDefault(bRange,mc) = length(find(default==0))/n; - % fundamental defaults relative to number of all banks - FD(bRange,mc) = length(find(nFD == 0))/n; - - end - end - - - - -% average costs for each value of EigLim -avBailC = mean(BailC,2); -% average loss of equity for each value of EigLim -avshockLoss = mean(shockLoss,2); -%calculate average defaults over all simulations -avtotDefault = mean(totDefault,2); -% average fundamental defaults over all simulations -avFD = mean(FD,2); - - - -%% plotting - -fig1 = figure(1); - set(fig1,'defaulttextinterpreter','latex'); - set(fig1, 'defaultAxesTickLabelInterpreter','latex') ; - grid on; - p1 = plot(Lim/n,avtotDefault,'color','blue'); - hold on; - p2 = plot(Lim/n,avFD,'color','red'); - xlabel('\textit{maximum of banks saved per timestep}'); - ylabel('relative \#defaults'); - title('\textbf{FDA simulation with bailouts}','fontsize',14); - legend([p1 p2], {'Total','Fundamental'},'Location','southeast'); - print('C:\Users\Marion\Desktop\CSS figures\tot_fund_1_1_5', '-dpng'); - - axoptions={'scaled y ticks = false',... - 'y tick label style={/pgf/number format/.cd, fixed, fixed zerofill,precision=2}',... - 'scaled x ticks = false',... - 'x tick label style={/pgf/number format/.cd, fixed, fixed zerofill,precision=2}'}; -matlab2tikz('C:\Users\Marion\Desktop\CSS figures\tot_fund_1_1_5.tex','extraAxisOptions',axoptions); - -fig2 = figure(2); - set(fig2,'defaulttextinterpreter','latex'); - set(fig2, 'defaultAxesTickLabelInterpreter','latex') ; - grid on; - p1 = plot(Lim/n,avshockLoss,'color','blue'); - hold on; - p2 = plot(Lim/n,avBailC,'color','red'); - xlabel('\textit{maximum of banks saved per timestep}'); - ylabel('billions \$'); - title('\textbf{bailout costs and loss through shock in FDA simulation with bailouts}','fontsize',14); - legend([p1 p2], {'loss through shock','bailout costs'},'Location','southeast'); - print('C:\Users\Marion\Desktop\CSS figures\bailc_loss_1_1_5', '-dpng'); - - -axoptions={'scaled y ticks = false',... - 'y tick label style={/pgf/number format/.cd, fixed, fixed zerofill,precision=2}',... - 'scaled x ticks = false',... - 'x tick label style={/pgf/number format/.cd, fixed, fixed zerofill,precision=2}'}; -matlab2tikz('C:\Users\Marion\Desktop\CSS figures\bailc_loss_1_1_5.tex','extraAxisOptions',axoptions); - - - - \ No newline at end of file
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insertions(+), 57 deletions(-) diff --git a/README.md b/README.md index cba8210e6..27ed21546 100644 --- a/README.md +++ b/README.md @@ -6,67 +6,13 @@ ## General Introduction -\noindent Especially after the collapse of Lehman in 2008 researchers and policy +Especially after the collapse of Lehman in 2008 researchers and policy makers have shifted their focus towards the interconnectedness of financial intermediaries regarding interbank lending. It has been shown that the default of a bank -can trigger other banks' failure via the network structure [source!]. Since then global discussions regarding +can trigger other banks' failure via the network structure. Since then global discussions regarding capital requirements and banking regulations have emerged, i.e. Basel III, Volcker Rule, Liikanen report, UK Whitebook. All these measures aim to decrease the probability of default of banks and hence, to reduce contagion w.r.t. financial distress. - -## Fundamental Questions -In our seminar paper, we aim to determine how regulatory policies -on banks can lower contagion risks. First, we examine the impact of -increased capital buffers. Second, we simulate whether bail-out -strategies can impede contagion, i.e. randomly choosing which bank to -save or more specifically, target the most central bank. Furthermore, -it would be interesting to conduct a counterfactual analysis comparing -saving or not saving banks. -(At the end of the project you want to find the answer to these questions) -(Formulate a few, clear questions. Articulate them in sub-questions, from the more general to the more specific. ) - - -## Model and Research Methods - -Our analysis is based on a random graph exhibiting stylized facts of the -actual European financial network. For this purpose, we will use a -\cite{Erdos1959} random graph model with core-periphery -structure. \cite{Georg2014} finds that the joint European interbank market -can best described as a network of connected core-periphery networks -since the latter can be found on a national bank level. - -Let us assume that the total assets of each bank $i$ consist of -interbank assets, $A_i^{IB}$, and illiquid external assets -(i.e. mortgages), $A_i^M$. Further, the total interbank assets are -equally distributed across all incoming links. Bank $i$'s total -liabilities consist of interbank liabilities, $L_i^{IB}$, that are -endogenously determined and of exogenous customer deposits, -$D_i$. Using these notations, one can define the necessary condition -for bank $i$ to be solvent \citep{Gai2010}: -\begin{equation} -(1-\alpha)A_i^{IB}+qA_i^M-L_i^{IB}-D_i>0 -\end{equation} -with $\alpha$ being the fraction of bank $i$'s counterparties with -obligations to $i$ that have defaulted assuming a recovery rate of -zero, and $q$ is the resale price of the illiquid asset that is <1 in -the case of 'fire sales'. By defining -$K_i=A_i^{IB}+A_i^M-L_i^{IB}-D_i$ as bank's $i$ capital buffer, we can -examine effects of particular levels of capital buffers on the spread -of contagion. -First, we build random graph model as described above. Second, we run -a Monte Carlo simulation on the random variables $A_i^{IB}$ and -$A_i^{M}$ respectively to get the numerical results. By construction, the means for the random -variables for core and periphery banks differ significantly. Third, -using this methodology we hope to be able to infer policy implications. - - -## Expected Results -We expect that for increased capital buffers the frequency of -contagion is more significantly reduced for core banks relative to -periphery banks. Similarly, we expect that saving a core bank reduces the extent of contagion more effectively than saving a periphery bank. - - -## References - +see proposal_css.pdf From c27c391bbe1021a4977a814f0c160075b4ac7018 Mon Sep 17 00:00:00 2001 From: schatimo Date: Sun, 18 Oct 2015 20:29:31 +0200 Subject: [PATCH 15/27] flashtalk/MSSSM_Flashtalk.pdf --- flashtalk/MSSSM_Flashtalk.pdf | Bin 0 -> 253268 bytes 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 flashtalk/MSSSM_Flashtalk.pdf diff --git a/flashtalk/MSSSM_Flashtalk.pdf b/flashtalk/MSSSM_Flashtalk.pdf new file mode 100644 index 0000000000000000000000000000000000000000..12c76f04a1651caf6212719f4b56f1bec3e003ae GIT binary patch literal 253268 zcmeFY1yo$k);8F#uUesx4IGs0jEoeltsMxN zS$;Q>(X;z3VP$L$>gKg-WJm~VX2b_Nkl>B141W*t+Sxyi^?M9@VQWV#2SO%#DKkTR zO+x0^?g*KFpR@`8QT+9%ems9mEtJ^c;*pbumR& zLe}3c#1uIQIbLggeDtE$Rt}(xqKt%Wzpsfh5i&CTQDY`#{H+1KC<`IupY7FT_05e8 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