Correlated Risks vs Contagion in Stochastic Transition Models
There is a growing literature on the possibility to identify correlation and contagion in qualitative risk analysis. Our paper considers this question by means of a model describing the joint dynamics of a set of individual binary processes. The two admissible values correspond to bad and good risk states of an individual. The risk correlation and its time dependence are captured by introducing a dynamic frailty, whereas the contagion passes through the effect of the lagged number of individuals in the bad risk state. We study carefully the dynamic properties of the joint process. Then, we focus on the limiting case of large populations (portfolios) and reconcile the microscopic and macroscopic dynamic views of the risk. The difficulty to identify in finite sample risk correlation and contagion is illustrated by means of Monte-Carlo simulations
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- Didier Rulli\`ere & Diana Dorobantu & Areski Cousin, 2009.
"An extension of Davis and Lo's contagion model,"
0904.1653, arXiv.org, revised Feb 2010.
- Christian Gourieroux & Joann Jasiak, 2001.
"Dynamic Factor Models,"
Taylor & Francis Journals, vol. 20(4), pages 385-424.
- Darrell Duffie & Andreas Eckner & Guillaume Horel & Leandro Saita, 2009.
"Frailty Correlated Default,"
Journal of Finance,
American Finance Association, vol. 64(5), pages 2089-2123, October.
- Giesecke, Kay & Weber, Stefan, 2006. "Credit contagion and aggregate losses," Journal of Economic Dynamics and Control, Elsevier, vol. 30(5), pages 741-767, May.
- Giampiero Gallo & Edoardo Otranto, 2006.
"Volatility Transmission Across Markets: A Multi-Chain Markov Switching Model,"
Econometrics Working Papers Archive
wp2006_04, Universita' degli Studi di Firenze, Dipartimento di Statistica, Informatica, Applicazioni "G. Parenti".
- Giampiero M. Gallo & Edoardo Otranto, 2007. "Volatility transmission across markets: a Multichain Markov Switching model," Applied Financial Economics, Taylor & Francis Journals, vol. 17(8), pages 659-670.
- Charles F. Manski, 1993.
"Identification of Endogenous Social Effects: The Reflection Problem,"
Review of Economic Studies,
Oxford University Press, vol. 60(3), pages 531-542.
- Manski, C.F., 1991. "Identification of Endogenous Social Effects: the Reflection Problem," Working papers 9127, Wisconsin Madison - Social Systems.
- Robert A. Jarrow, 2001.
"Counterparty Risk and the Pricing of Defaultable Securities,"
Journal of Finance,
American Finance Association, vol. 56(5), pages 1765-1799, October.
- Robert A. Jarrow & Fan Yu, 2008. "Counterparty Risk and the Pricing of Defaultable Securities," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 20, pages 481-515 World Scientific Publishing Co. Pte. Ltd..
- Efraim Benmelech & Nittai K. Bergman, 2010.
"Bankruptcy and the Collateral Channel,"
NBER Working Papers
15708, National Bureau of Economic Research, Inc.
- Upper, Christian & Worms, Andreas, 2002.
"Estimating Bilateral Exposures in the German Interbank Market: Is there a Danger of Contagion?,"
Discussion Paper Series 1: Economic Studies
2002,09, Deutsche Bundesbank, Research Centre.
- Christian Upper & Andreas Worms, 2001. "Estimating bilateral exposures in the German interbank market: is there a danger of contagion?," BIS Papers chapters, in: Bank for International Settlements (ed.), Marrying the macro- and micro-prudential dimensions of financial stability, volume 1, pages 211-229 Bank for International Settlements.
- Upper, Christian & Worms, Andreas, 2004. "Estimating bilateral exposures in the German interbank market: Is there a danger of contagion?," European Economic Review, Elsevier, vol. 48(4), pages 827-849, August.
- Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985.
"A Theory of the Term Structure of Interest Rates,"
Econometric Society, vol. 53(2), pages 385-407, March.
- Michael B. Gordy, 2002.
"A risk-factor model foundation for ratings-based bank capital rules,"
Finance and Economics Discussion Series
2002-55, Board of Governors of the Federal Reserve System (U.S.).
- Gordy, Michael B., 2003. "A risk-factor model foundation for ratings-based bank capital rules," Journal of Financial Intermediation, Elsevier, vol. 12(3), pages 199-232, July.
- Serge Darolles & Christian Gourieroux & Joann Jasiak, 2006.
"Structural Laplace Transform and Compound Autoregressive Models,"
- Serge Darolles & Christian Gourieroux & Joann Jasiak, 2006. "Structural Laplace Transform and Compound Autoregressive Models," Journal of Time Series Analysis, Wiley Blackwell, vol. 27(4), pages 477-503, 07.
- Philipp J. Schönbucher, 2000. "Factor Models for Portofolio Credit Risk," Bonn Econ Discussion Papers bgse16_2001, University of Bonn, Germany.
- Yacine Aït-Sahalia & Julio Cacho-Diaz & Roger J.A. Laeven, 2010.
"Modeling Financial Contagion Using Mutually Exciting Jump Processes,"
NBER Working Papers
15850, National Bureau of Economic Research, Inc.
- Aït-Sahalia, Yacine & Cacho-Diaz, Julio & Laeven, Roger J.A., 2015. "Modeling financial contagion using mutually exciting jump processes," Journal of Financial Economics, Elsevier, vol. 117(3), pages 585-606.
- Giesecke, Kay, 2004. "Correlated default with incomplete information," Journal of Banking & Finance, Elsevier, vol. 28(7), pages 1521-1545, July.
- Ulf Böckenholt, 1999. "An INAR(1) negative multinomial regression model for longitudinal count data," Psychometrika, Springer;The Psychometric Society, vol. 64(1), pages 53-67, March.
- Jarque, Carlos M. & Bera, Anil K., 1980. "Efficient tests for normality, homoscedasticity and serial independence of regression residuals," Economics Letters, Elsevier, vol. 6(3), pages 255-259.
- M. Davis & V. Lo, 2001. "Infectious defaults," Quantitative Finance, Taylor & Francis Journals, vol. 1(4), pages 382-387.
- Egloff, Daniel & Leippold, Markus & Vanini, Paolo, 2007. "A simple model of credit contagion," Journal of Banking & Finance, Elsevier, vol. 31(8), pages 2475-2492, August.
- Joann Jasiak & Christian Gourieroux, 2006. "Autoregressive gamma processes," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 25(2), pages 129-152.
- Gourieroux, C. & Jasiak, J., 2004. "Heterogeneous INAR(1) model with application to car insurance," Insurance: Mathematics and Economics, Elsevier, vol. 34(2), pages 177-192, April.
- Azizpour, Shahriar & Giesecke, Kay & Kim, Baeho, 2011. "Premia for correlated default risk," Journal of Economic Dynamics and Control, Elsevier, vol. 35(8), pages 1340-1357, August.
- James Vaupel & Kenneth Manton & Eric Stallard, 1979. "The impact of heterogeneity in individual frailty on the dynamics of mortality," Demography, Springer;Population Association of America (PAA), vol. 16(3), pages 439-454, August.
- Stefan Weber & Kay Giesecke, 2003. "Credit Contagion and Aggregate Losses," Computing in Economics and Finance 2003 246, Society for Computational Economics.
- Giesecke, Kay & Weber, Stefan, 2004. "Cyclical correlations, credit contagion, and portfolio losses," Journal of Banking & Finance, Elsevier, vol. 28(12), pages 3009-3036, December.
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