Mathematical Modeling of Systemic Risk

Since the onset of the financial crisis in 2007, more than 370 of the almost 8,000 US banks insured by the Federal Deposit Insurance Corporation have failed. By comparison, between 2000 and 2004 there were around 30 failures and no failures occurred between 2005 and the beginning of 2007.

[1]  Rama Cont Frontiers in Quantitative Finance: credit risk and volatility modeling , 2008 .

[2]  R. Cont,et al.  RUNNING FOR THE EXIT: DISTRESSED SELLING AND ENDOGENOUS CORRELATION IN FINANCIAL MARKETS , 2011 .

[3]  Rama Cont,et al.  Stress Testing the Resilience of Financial Networks , 2010 .

[4]  Béla Bollobás,et al.  THE ASYMPTOTIC NUMBER OF UNLABELLED REGULAR GRAPHS , 1982 .

[5]  Walter E. Beyeler,et al.  The topology of interbank payment flows , 2007 .

[6]  Christian Upper,et al.  Simulation methods to assess the danger of contagion in interbank markets , 2011 .

[7]  K. Giesecke Portfolio Credit Risk: Top-Down vs. Bottom-Up Approaches , 2008 .

[8]  Svante Janson,et al.  Random graphs , 2000, ZOR Methods Model. Oper. Res..

[9]  M. Hellwig Systemic Aspects of Risk Management in Banking and Finance , 1995 .

[10]  M. Newman Spread of epidemic disease on networks. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  B. Bollobás The evolution of random graphs , 1984 .

[12]  James P. Gleeson,et al.  Systemic Risk in Banking Networks Without Monte Carlo Simulation , 2012 .

[13]  Markus K. Brunnermeier Deciphering the Liquidity and Credit Crunch 2007-08 , 2008 .

[14]  Darrell Duffie The Failure Mechanics of Dealer Banks , 2009 .

[15]  Larry Eisenberg,et al.  Systemic Risk in Financial Networks , 1999, Manag. Sci..

[16]  Xiaowei Ding,et al.  Time-Changed Birth Processes and Multi-Name Credit Derivatives , 2008, Oper. Res..

[17]  Rama Cont,et al.  Recovering Portfolio Default Intensities Implied by CDO Quotes , 2013 .

[18]  Franklin Allen,et al.  Financial Contagion , 2000, Journal of Political Economy.

[19]  Franklin Allen,et al.  Financial Contagion Journal of Political Economy , 1998 .

[20]  Béla Bollobás,et al.  Mathematical results on scale‐free random graphs , 2005 .

[21]  Douglas W. Diamond,et al.  Fear of Fire Sales and the Credit Freeze , 2009 .

[22]  Duncan J Watts,et al.  A simple model of global cascades on random networks , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[23]  Hyun Song Shin,et al.  The changing nature of financial intermediation and the financial crisis of 2007-09 , 2010 .

[24]  P. Erdos,et al.  On the evolution of random graphs , 1984 .

[25]  Philip Protter,et al.  STRUCTURAL VERSUS REDUCED FORM MODELS: A NEW INFORMATION BASED PERSPECTIVE , 2004 .

[26]  Bruce A. Reed,et al.  The Size of the Giant Component of a Random Graph with a Given Degree Sequence , 1998, Combinatorics, Probability and Computing.

[27]  LIAISONS DANGEREUSES: INCREASING CONNECTIVITY, RISK SHARING, AND SYSTEMIC RISK BY BATTISTON, DELLI GATTI, GALLEGATI, GREENWALD AND STIGLITZ: DISCUSSION , 2009 .

[28]  R. Cont Credit Default Swaps , 2010 .

[29]  M. Cropper,et al.  Sulfur Dioxide Control by Electric Utilities: What Are the Gains from Trade? , 1998, Journal of Political Economy.

[30]  W. T. Gowers,et al.  RANDOM GRAPHS (Wiley Interscience Series in Discrete Mathematics and Optimization) , 2001 .

[31]  H. Shin,et al.  Financial intermediary leverage and value-at-risk , 2008 .

[32]  M. Newman,et al.  Random graphs with arbitrary degree distributions and their applications. , 2000, Physical review. E, Statistical, nonlinear, and soft matter physics.

[33]  Michael Boss,et al.  Network topology of the interbank market , 2003, cond-mat/0309582.

[34]  Prasanna Gai,et al.  Contagion in financial networks , 2010, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[35]  Rama Cont,et al.  RESILIENCE TO CONTAGION IN FINANCIAL NETWORKS , 2010, 1112.5687.

[36]  Prasanna Gai,et al.  Liquidity Hoarding, Network Externalities, and Interbank Market Collapse , 2009 .

[37]  H. Shin,et al.  Liquidity Risk and Contagion , 2005 .

[38]  S. Battiston,et al.  Liaisons Dangereuses: Increasing Connectivity, Risk Sharing, and Systemic Risk , 2009 .

[39]  Mark E. J. Newman,et al.  Structure and Dynamics of Networks , 2009 .

[40]  Edward A. Bender,et al.  The Asymptotic Number of Labeled Graphs with Given Degree Sequences , 1978, J. Comb. Theory A.

[41]  R. May,et al.  Systemic risk in banking ecosystems , 2011, Nature.

[42]  Kay Giesecke,et al.  Affine Point Processes and Portfolio Credit Risk , 2010, SIAM J. Financial Math..

[43]  Bruce A. Reed,et al.  A Critical Point for Random Graphs with a Given Degree Sequence , 1995, Random Struct. Algorithms.

[44]  A. Moussa,et al.  Contagion and Systemic Risk in Financial Networks , 2011 .

[45]  Alan M. Frieze,et al.  Random graphs , 2006, SODA '06.

[46]  Edson Bastos e Santos,et al.  Network Structure and Systemic Risk in Banking Systems , 2010 .

[47]  S. Janson,et al.  Wiley‐Interscience Series in Discrete Mathematics and Optimization , 2011 .

[48]  Svante Janson,et al.  Random graphs , 2000, Wiley-Interscience series in discrete mathematics and optimization.

[49]  Kay Giesecke,et al.  Assessing the Systemic Implications of Financial Linkages , 2009 .