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Modelling Credit Spreads evolution using the Cox Process within the HJM framework

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  • Viviana Fanelli

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  • Silvana Musti

    ()

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    Abstract

    In this paper a simulation approach for defaultable yield curve is developed within the Heath et al. (1992) framework. The default event is modelled using the Cox process when the stochastic intensity repre sents the credit spread. The forward credit spread volatility function is affected by the entire credit spread term structure. Cox process properties and the Monte Carlo simulations technique are used for pricing defaultable bonds.

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    Bibliographic Info

    Paper provided by Dipartimento di Scienze Economiche, Matematiche e Statistiche, Universita' di Foggia in its series Quaderni DSEMS with number 27-2007.

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    Length: 17 pages
    Date of creation: Dec 2007
    Date of revision:
    Handle: RePEc:ufg:qdsems:27-2007

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    Related research

    Keywords: HJM model; Cox process; Bond price; Monte Carlo method;

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    References

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    1. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    2. Duffie, Darrell & Lando, David, 2001. "Term Structures of Credit Spreads with Incomplete Accounting Information," Econometrica, Econometric Society, vol. 69(3), pages 633-64, May.
    3. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-54, May-June.
    4. Jarrow, Robert A., 2008. "Operational risk," Journal of Banking & Finance, Elsevier, vol. 32(5), pages 870-879, May.
    5. Merton, Robert C., 1973. "On the pricing of corporate debt: the risk structure of interest rates," Working papers 684-73., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    6. Black, Fischer & Cox, John C, 1976. "Valuing Corporate Securities: Some Effects of Bond Indenture Provisions," Journal of Finance, American Finance Association, vol. 31(2), pages 351-67, May.
    7. Chiarella, Carl & Clewlow, Les & Musti, Silvana, 2005. "A volatility decomposition control variate technique for Monte Carlo simulations of Heath Jarrow Morton models," European Journal of Operational Research, Elsevier, vol. 161(2), pages 325-336, March.
    8. Jarrow, Robert A & Turnbull, Stuart M, 1995. " Pricing Derivatives on Financial Securities Subject to Credit Risk," Journal of Finance, American Finance Association, vol. 50(1), pages 53-85, March.
    9. Heath, David & Jarrow, Robert & Morton, Andrew, 1992. "Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation," Econometrica, Econometric Society, vol. 60(1), pages 77-105, January.
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    Cited by:
    1. Carl Chiarella & Viviana Fanelli & Silvana Musti, 2008. "Modelling the Evolution of Credit Spreads using the Cox Process within the HUM Framework: A CDS Option Pricing Model," Research Paper Series 232, Quantitative Finance Research Centre, University of Technology, Sydney.

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