Xiao, Tim (2013): The Impact of Default Dependency and Collateralization on Asset Pricing and Credit Risk Modeling.
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Abstract
This article presents a comprehensive framework for valuing financial instruments subject to credit risk and collateralization. In particular, we focus on the impact of default dependence on asset pricing, as correlated default risk is one of the most pervasive threats to financial markets. Some well-known risky valuation models in the markets can be viewed as special cases of this framework. We introduce the concept of comvariance (or comrelation) into the area of credit risk modeling to capture the default relationship among three or more parties. Accounting for default correlations and comrelations becomes important, especially during the credit crisis. Moreover, we find that collateralization works well for financial instruments subject to bilateral credit risk, but fails for ones subject to multilateral credit risk.
Item Type: | MPRA Paper |
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Original Title: | The Impact of Default Dependency and Collateralization on Asset Pricing and Credit Risk Modeling |
English Title: | The Impact of Default Dependency and Collateralization on Asset Pricing and Credit Risk Modeling |
Language: | English |
Keywords: | asset pricing; credit risk modeling; unilateral, bilateral, multilateral credit risk; collateralization; comvariance; comrelation; correlation. |
Subjects: | E - Macroeconomics and Monetary Economics > E4 - Money and Interest Rates > E44 - Financial Markets and the Macroeconomy G - Financial Economics > G1 - General Financial Markets > G12 - Asset Pricing ; Trading Volume ; Bond Interest Rates G - Financial Economics > G2 - Financial Institutions and Services > G21 - Banks ; Depository Institutions ; Micro Finance Institutions ; Mortgages G - Financial Economics > G3 - Corporate Finance and Governance > G33 - Bankruptcy ; Liquidation |
Item ID: | 47136 |
Depositing User: | Tim Xiao |
Date Deposited: | 23 May 2013 01:17 |
Last Modified: | 27 Sep 2019 02:24 |
References: | Arora, Navneet, Priyank Gandhi, and Francis A. Longstaff (2009), “Counterparty credit risk and the credit default swap market,” Working paper, UCLA. Brigo, D., A. Pallavicini, and R. Torresetti (2011), “Credit Models and the Crisis: default cluster dynamics and the Generalized Poisson Loss model,” Journal of Credit Risk, 6: 39-81. Collin-Dufresne, P., R. Goldstein, and J. Helwege (2003), “Is credit event risk priced? Modeling contagion via the updating of beliefs,” Working paper, Haas School, University of California, Berkeley. Das, S., D. Duffie, N. Kapadia, and L. Saita (2007), “Common failings: How corporate defaults are correlated,” Journal of Finance, 62: 93-117. Das, S., L. Freed, G. Geng, N. Kapadia (2006), “Correlated default risk,” Journal of Fixed Income, 16: 7-32. Davis, M., and V. Lo (2001), “Infectious defaults,” Quantitative Finance, 1: 382-387. Deardorff, Alan V. (1982): “The general validity of the Heckscher-Ohlin Theorem,” American Economic Review, 72 (4): 683-694. Duffie, D., A. Eckner, G. Horel, and L. Saita (2009), “Frailty correlated default,” Journal of Finance, 64: 2089-2123. Duffie, D., and M. Huang (1996), “Swap rates and credit quality,” Journal of Finance, 51: 921-949. Duffie, D., and K. Singleton (1999), “Modeling term structure of defaultable bonds,” Review of Financial Studies, 12: 687-720. ECB (2009), “Credit default swaps and counterparty risk,” European central bank. Fuijii, M. and A. Takahahsi (2012), “Collateralized CDS and default dependence – Implications for the central clearing,” Journal of Credit Risk, 8(3): 97-113. Giesecke, K. (2004), “Correlated default with incomplete information,” Journal of Banking and Finance, 28: 1521-1545. Hull, J. and A. White (2004), “Valuation of a CDO and a nth to default CDS without Monte Carlo simulation,” Journal of Derivatives, 12: 8-23. ISDA (2012), “ISDA margin survey 2012.” Jarrow, R., and S. Turnbull (1995), “Pricing derivatives on financial securities subject to credit risk,” Journal of Finance, 50: 53-85. Jarrow, R., and F. Yu (2001), “Counterparty risk and the pricing of defaultable securities,” Journal of Finance, 56: 1765-99. Johannes, M. and S. Sundaresan (2007), “The impact of collateralization on swap rates,” Journal of Finance, 62: 383-410. J. P. Morgan (1999), “The J. P. Morgan guide to credit derivatives,” Risk Publications. Koopman, S., A. Lucas, and B. Schwaab (2011), “Modeling frailty-correlated defaults using many macroeconomic covariates,” Journal of Econometrics, 162: 312-325. Lando, D. and M. Nielsen (2010), “Correlation in corporate defaults: contagion or conditional independence?” Journal of Financial Intermediation, 19: 355-372. Laurent, J. and J. Gregory (2005), “Basket default swaps, CDOs and factor copulas,” Journal of Risk, 7: 03-122. Li, D. (2000), “On default correlation: A copula function approach,” Journal of Fixed Income, 9: 43-54. Longstaff, F., and E. Schwartz (2001): “Valuing American options by simulation: a simple least-squares approach,” The Review of Financial Studies, 14 (1): 113-147. Madan, D., and H. Unal (1998), “Pricing the risks of default,” Review of Derivatives Research, 2: 121-160. Moody’s Investor’s Service (2000): “Historical default rates of corporate bond issuers, 1920-99,” O’Kane, D. and S. Turnbull (2003), “Valuation of credit default swaps,” Fixed Income Quantitative Credit Research, Lehman Brothers, QCR Quarterly, Q1/Q2: 1-19. Piterbarg, V. (2010), “Funding beyond discounting: collateral agreements and derivatives pricing,” Risk Magazine, 2010 (2): 97-102. Teugels, J. (1990), “Some representations of the multivariate Bernoulli and binomial distributions,” Journal of Multivariate Analysis, 32: 256-268. Xiao, T. (2011), “An efficient lattice algorithm for the LIBOR market model,” Journal of Derivatives, 19 (1): 25-40. Zhang, G., and P. Jorion, (2007), “Good and bad credit contagion: Evidence from credit default swaps,” Journal of Financial Economics 84: 860–883. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/47136 |