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A Direct Approach to Arbitrage-Free Pricing of Derivatives

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  • Sanjiv Ranjan Das
  • Rangarajan K. Sundaram

Abstract

This paper develops a framework for modelling risky debt and valuing credit derivatives that is flexible

Suggested Citation

  • Sanjiv Ranjan Das & Rangarajan K. Sundaram, 1998. "A Direct Approach to Arbitrage-Free Pricing of Derivatives," New York University, Leonard N. Stern School Finance Department Working Paper Seires 99-013, New York University, Leonard N. Stern School of Business-.
    • Handle: RePEc:fth:nystfi:99-013
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    File URL: http://www.stern.nyu.edu/fin/workpapers/papers99/wpa99013.pdf
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    References listed on IDEAS

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    1. Duffee, Gregory R, 1999. "Estimating the Price of Default Risk," The Review of Financial Studies, Society for Financial Studies, vol. 12(1), pages 197-226.
    2. 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 351-367, May.
    3. Heath, David & Jarrow, Robert & Morton, Andrew, 1990. "Bond Pricing and the Term Structure of Interest Rates: A Discrete Time Approximation," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 25(4), pages 419-440, December.
    4. 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..
    5. Leland, Hayne E, 1994. "Corporate Debt Value, Bond Covenants, and Optimal Capital Structure," Journal of Finance, American Finance Association, vol. 49(4), pages 1213-1252, September.
    6. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    7. Mason, Scott P. & Bhattacharya, Sudipto, 1981. "Risky debt, jump processes, and safety covenants," Journal of Financial Economics, Elsevier, vol. 9(3), pages 281-307, September.
    8. Ramaswamy, Krishna & Sundaresan, Suresh M., 1986. "The valuation of floating-rate instruments : Theory and evidence," Journal of Financial Economics, Elsevier, vol. 17(2), pages 251-272, December.
    9. Masaaki Kijima, 1998. "Monotonicities in a Markov Chain Model for Valuing Corporate Bonds Subject to Credit Risk," Mathematical Finance, Wiley Blackwell, vol. 8(3), pages 229-247, July.
    10. Geske, Robert, 1977. "The Valuation of Corporate Liabilities as Compound Options," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 541-552, November.
    11. 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.
    12. In Joon Kim & Krishna Ramaswamy & Suresh Sundaresan, "undated". "The Valuation of Corporate Fixed Income Securities," Rodney L. White Center for Financial Research Working Papers 32-89, Wharton School Rodney L. White Center for Financial Research.
    13. 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 637-654, May-June.
    14. Gregory R. Duffee, 1998. "The Relation Between Treasury Yields and Corporate Bond Yield Spreads," Journal of Finance, American Finance Association, vol. 53(6), pages 2225-2241, December.
    15. Delianedis, Gordon & Geske, Robert, 1998. "Credit Risk and Risk Neutral Default Probabilities: Information About Migrations and Defaults," University of California at Los Angeles, Anderson Graduate School of Management qt7dm2d31p, Anderson Graduate School of Management, UCLA.
    16. Duffie, Darrell & Huang, Ming, 1996. "Swap Rates and Credit Quality," Journal of Finance, American Finance Association, vol. 51(3), pages 921-949, July.
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    Cited by:

    1. Roberto Blanco & Simon Brennan & Ian W Marsh, 2004. "An empirical analysis of the dynamic relationship between investment-grade bonds and credit default swaps," Bank of England working papers 211, Bank of England.
    2. Ericsson, Jan & Jacobs, Kris & Oviedo, Rodolfo, 2009. "The Determinants of Credit Default Swap Premia," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 44(1), pages 109-132, February.
    3. Giacometti, Rosella & Teocchi, Mariangela, 2005. "On pricing of credit spread options," European Journal of Operational Research, Elsevier, vol. 163(1), pages 52-64, May.
    4. Kwamie Dunbar, 2008. "US corporate default swap valuation: the market liquidity hypothesis and autonomous credit risk," Quantitative Finance, Taylor & Francis Journals, vol. 8(3), pages 321-334.
    5. Groh, Alexander P., 2004. "Risikoadjustierte Performance von Private Equity-Investitionen," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 21382, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).

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