The Devil is in the Tails: Actuarial Mathematics and the Subprime Mortgage Crisis

Abstract In the aftermath of the 2007-2008 financial crisis, there has been criticism of mathematics and the mathematical models used by the finance industry. We answer these criticisms through a discussion of some of the actuarial models used in the pricing of credit derivatives. As an example, we focus in particular on the Gaussian copula model and its drawbacks. To put this discussion into its proper context, we give a synopsis of the financial crisis and a brief introduction to some of the common credit derivatives and highlight the difficulties in valuing some of them. We also take a closer look at the risk management issues in part of the insurance industry that came to light during the financial crisis. As a backdrop to this, we recount the events that took place at American International Group during the financial crisis. Finally, through our paper we hope to bring to the attention of a broad actuarial readership some “lessons (to be) learned” or “events not to be forgotten”.

[1]  Berthold Schweizer,et al.  Probabilistic Metric Spaces , 2011 .

[2]  P. Embrechts,et al.  Risk Management: Correlation and Dependence in Risk Management: Properties and Pitfalls , 2002 .

[3]  AT Washington,et al.  Federal Reserve Board , 2009 .

[4]  C. Bluhm,et al.  Structured Credit Portfolio Analysis, Baskets and CDOs , 2006 .

[5]  P. Embrechts,et al.  Quantitative Risk Management: Concepts, Techniques, and Tools , 2005 .

[6]  D. Duffie Innovations in Credit Risk Transfer: Implications for Financial Stability , 2008 .

[7]  Paul Embrechts,et al.  Copulas: A Personal View , 2009 .

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

[9]  David X. Li On Default Correlation: A Copula Function Approach , 1999 .

[10]  William K. Sjostrom The AIG Bailout , 2009 .

[11]  Christopher C. Finger Testing Hedges Under the Standard Tranched Credit Pricing Model , 2009 .

[12]  Tim Frech,et al.  Observations on Risk Management Practices during the Recent Market Turbulence , 2008 .

[13]  Vikrant Vig,et al.  Financial Regulation and Securitization: Evidence from Subprime Loans , 2009 .

[14]  Rama Cont,et al.  Dynamic Hedging of Portfolio Credit Derivatives , 2011, SIAM J. Financial Math..

[15]  C. Genest,et al.  The Advent of Copulas in Finance , 2009 .

[16]  S. Resnick Extreme Values, Regular Variation, and Point Processes , 1987 .

[17]  R. Marks Anatomy of a Credit Crisis , 2009 .

[18]  J. Stiglitz It Doesn't Take Nostradamus , 2008 .

[19]  A. McNeil,et al.  Copulas and credit models , 2001 .

[20]  Model Uncertainty and its Impact on the Pricing of Derivative Instruments , 2004 .

[21]  Masaaki Sibuya,et al.  Bivariate extreme statistics, I , 1960 .

[22]  C. Goodhart,et al.  An academic response to Basel II , 2001 .

[23]  M. Hellwig Systemic Risk in the Financial Sector: An Analysis of the Subprime-Mortgage Financial Crisis , 2008 .

[24]  Thorsten Rheinländer Risk Management: Value at Risk and Beyond , 2003 .

[25]  Modelling Dynamic Portfolio Credit Risk , 2003 .

[26]  M. Ivimey Annual report , 1958, IRE Transactions on Engineering Writing and Speech.

[27]  Ingo Walter,et al.  Manufacturing Tail Risk: A Perspective on the Financial Crisis of 2007-09 , 2010 .

[28]  Michel Crouhy,et al.  The Subprime Credit Crisis of 07 , 2008 .

[29]  David X. Li On Default Correlation , 2000 .

[30]  Hans Föllmer Alles richtig und trotzdem falsch? Anmerkungen zur Finanzkrise und zur Finanzmathematik , 2009 .

[31]  Dominic O'Kane,et al.  Modelling Single-name and Multi-name Credit Derivatives: O'Kane/Modelling , 2008 .

[32]  Eric P. Smith,et al.  An Introduction to Statistical Modeling of Extreme Values , 2002, Technometrics.

[33]  P. Schönbucher Credit Derivatives Pricing Models: Models, Pricing and Implementation , 2003 .

[34]  Felix Salmon The formula that killed Wall Street , 2012 .

[35]  T. Bielecki,et al.  Credit Risk: Modeling, Valuation And Hedging , 2004 .

[36]  J. Corcoran Modelling Extremal Events for Insurance and Finance , 2002 .

[37]  Paul Embrechts,et al.  Quantitative Risk Management , 2011, International Encyclopedia of Statistical Science.