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Arbitrage-free credit pricing using default probabilities and risk sensitivities

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  • Blöchlinger, Andreas

Abstract

The relation between physical probabilities (rating) and risk-neutral probabilities (pricing) is derived in a large market with a quasi-factor structure. Factor sensitivities and default probabilities are obtainable for all kinds of credits on historical rating data. Since factor prices can be backed out from market data, the model allows the pricing of non-marketable credits and structured products thereof. The model explains various empirical observations: credit spreads of equally rated borrowers differ, spreads are wider than implied by expected losses, and expected returns on CDOs must be greater than their rating matched, single-obligor securities due to the inherent systematic risk.

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  • Blöchlinger, Andreas, 2011. "Arbitrage-free credit pricing using default probabilities and risk sensitivities," Journal of Banking & Finance, Elsevier, vol. 35(2), pages 268-281, February.
    • Handle: RePEc:eee:jbfina:v:35:y:2011:i:2:p:268-281
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    1. Yawitz, Jess B., 1977. "An Analytical Model of Interest Rate Differentials and Different Default Recoveries," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(3), pages 481-490, September.
    2. Francis A. Longstaff & Sanjay Mithal & Eric Neis, 2005. "Corporate Yield Spreads: Default Risk or Liquidity? New Evidence from the Credit Default Swap Market," Journal of Finance, American Finance Association, vol. 60(5), pages 2213-2253, October.
    3. Stephen A. Ross, 2013. "The Arbitrage Theory of Capital Asset Pricing," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 1, pages 11-30, World Scientific Publishing Co. Pte. Ltd..
    4. B Baesens & T Van Gestel & S Viaene & M Stepanova & J Suykens & J Vanthienen, 2003. "Benchmarking state-of-the-art classification algorithms for credit scoring," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(6), pages 627-635, June.
    5. Alessandri, Piergiorgio & Drehmann, Mathias, 2010. "An economic capital model integrating credit and interest rate risk in the banking book," Journal of Banking & Finance, Elsevier, vol. 34(4), pages 730-742, April.
    6. Robert A. Jarrow, 1988. "Preferences, Continuity, and the Arbitrage Pricing Theory," The Review of Financial Studies, Society for Financial Studies, vol. 1(2), pages 159-172.
    7. Robert A. Jarrow & David Lando & Fan Yu, 2008. "Default Risk And Diversification: Theory And Empirical Implications," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 19, pages 455-480, World Scientific Publishing Co. Pte. Ltd..
    8. Robert A. Jarrow & David Lando & Stuart M. Turnbull, 2008. "A Markov Model for the Term Structure of Credit Risk Spreads," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 18, pages 411-453, World Scientific Publishing Co. Pte. Ltd..
    9. Silvers, J B, 1973. "An Alternative to the Yield Spread as a Measure of Risk," Journal of Finance, American Finance Association, vol. 28(4), pages 933-955, September.
    10. Bühlmann, Hans & Delbaen, Freddy & Embrechts, Paul & Shiryaev, Albert N., 1998. "On Esscher Transforms in Discrete Finance Models," ASTIN Bulletin, Cambridge University Press, vol. 28(2), pages 171-186, November.
    11. Breuer, Thomas & Jandacka, Martin & Rheinberger, Klaus & Summer, Martin, 2010. "Does adding up of economic capital for market- and credit risk amount to conservative risk assessment?," Journal of Banking & Finance, Elsevier, vol. 34(4), pages 703-712, April.
    12. Drehmann, Mathias & Sorensen, Steffen & Stringa, Marco, 2010. "The integrated impact of credit and interest rate risk on banks: A dynamic framework and stress testing application," Journal of Banking & Finance, Elsevier, vol. 34(4), pages 713-729, April.
    13. repec:bla:jfinan:v:44:y:1989:i:4:p:909-22 is not listed on IDEAS
    14. Hartmann, Philipp, 2010. "Interaction of market and credit risk," Journal of Banking & Finance, Elsevier, vol. 34(4), pages 697-702, April.
    15. Sanjiv R. Das & Darrell Duffie & Nikunj Kapadia & Leandro Saita, 2007. "Common Failings: How Corporate Defaults Are Correlated," Journal of Finance, American Finance Association, vol. 62(1), pages 93-117, February.
    16. Wu, Chunchi & Yu, Chih-Hsien, 1996. "Risk aversion and the yield of corporate debt," Journal of Banking & Finance, Elsevier, vol. 20(2), pages 267-281, March.
    17. Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, vol. 20(3), pages 381-408, June.
    18. Bierman, Harold & Hass, Jerome E., 1975. "An Analytical Model of Bond Risk Differentials," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 10(5), pages 757-773, December.
    19. Edwin J. Elton & Martin J. Gruber & Deepak Agrawal & Christopher Mann, 2001. "Explaining the Rate Spread on Corporate Bonds," Journal of Finance, American Finance Association, vol. 56(1), pages 247-277, February.
    20. Robert B. Israel & Jeffrey S. Rosenthal & Jason Z. Wei, 2001. "Finding Generators for Markov Chains via Empirical Transition Matrices, with Applications to Credit Ratings," Mathematical Finance, Wiley Blackwell, vol. 11(2), pages 245-265, April.
    21. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    22. 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.
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    1. Tsaig, Yaakov & Levy, Amnon & Wang, Yashan, 2011. "Analyzing the impact of credit migration in a portfolio setting," Journal of Banking & Finance, Elsevier, vol. 35(12), pages 3145-3157.
    2. Câmara, António & Popova, Ivilina & Simkins, Betty, 2012. "A comparative study of the probability of default for global financial firms," Journal of Banking & Finance, Elsevier, vol. 36(3), pages 717-732.

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