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Default Risk and the Duration of Zero Coupon Bonds

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  • Chance, Don M
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    Abstract

    This paper applies a contingent claims approach to examine the duration of a zero coupon bond subject to default risk. One replicating portfolio for a default-prone zero coupon bond contains a long position in the default-free asset plus a short position in a put option on the underlying assets. The duration of the bond is shown to be a weighted combination of the duration of the default-free bond and the put option. The duration is less than maturity and is not an immunizing duration. The technique is then extended to subordinated debt. Copyright 1990 by American Finance Association.

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    Bibliographic Info

    Article provided by American Finance Association in its journal Journal of Finance.

    Volume (Year): 45 (1990)
    Issue (Month): 1 (March)
    Pages: 265-74

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    Handle: RePEc:bla:jfinan:v:45:y:1990:i:1:p:265-74

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    Cited by:
    1. Syed Muhammad Noaman Ahmed Shah & Mazen Kebewar, 2013. "US Corporate Bond Yield Spread : A default risk debate," Papers 1303.3391, arXiv.org.
    2. Jarrow, Robert A. & Turnbull, Stuart M., 2000. "The intersection of market and credit risk," Journal of Banking & Finance, Elsevier, vol. 24(1-2), pages 271-299, January.
    3. Gady Jacoby & Chuan Liao & Jonathan A. Batten, 2007. "A Pure Test for the Elasticity of Yield Spreads," The Institute for International Integration Studies Discussion Paper Series iiisdp195, IIIS.
    4. Clark, Ephraim & Lakshmi, Geeta, 2004. "Sovereign debt and the cost of migration: India 1990-1992," Journal of Asian Economics, Elsevier, vol. 15(1), pages 111-134, February.
    5. Dilip Madan & Haluk Unal, 1996. "Pricing the Risks of Default," Center for Financial Institutions Working Papers 94-16, Wharton School Center for Financial Institutions, University of Pennsylvania.
    6. Lesseig, Vance P. & Stock, Duane, 2000. "Impact of Correlation of Asset Value and Interest Rates upon Duration and Convexity of Risky Debt," Journal of Business Research, Elsevier, vol. 49(3), pages 289-301, September.
    7. Xie, Yan Alice & Liu, Sheen & Wu, Chunchi & Anderson, Bing, 2009. "The effects of default and call risk on bond duration," Journal of Banking & Finance, Elsevier, vol. 33(9), pages 1700-1708, September.
    8. Kwamie Dunbar, . "An Empirical Review of United States Corporate Default Swap Valuation: The Implications of Functional Forms," Fordham Economics Dissertations, Fordham University, Department of Economics, number 2005.2.
    9. Chunsheng Zhou, 1997. "A jump-diffusion approach to modeling credit risk and valuing defaultable securities," Finance and Economics Discussion Series 1997-15, Board of Governors of the Federal Reserve System (U.S.).
    10. Nawalkha, Sanjay K., 1995. "The duration vector: A continuous-time extension to default-free interest rate contingent claims," Journal of Banking & Finance, Elsevier, vol. 19(8), pages 1359-1366, November.
    11. Kraft, Holger & Munk, Claus, 2007. "Bond durations: Corporates vs. Treasuries," Journal of Banking & Finance, Elsevier, vol. 31(12), pages 3720-3741, December.
    12. Nawalkha, Sanjay K., 1996. "A contingent claims analysis of the interest rate risk characteristics of corporate liabilities," Journal of Banking & Finance, Elsevier, vol. 20(2), pages 227-245, March.
    13. Brown, Christine A. & Wang, Sally, 2002. "Credit risk: The case of First Interstate Bankcorp," International Review of Financial Analysis, Elsevier, vol. 11(2), pages 229-248.
    14. Charles S. Morris & Robert Neal & Douglas Rolph, 1998. "Credit spreads and interest rates : a cointegration approach," Research Working Paper 98-08, Federal Reserve Bank of Kansas City.
    15. Tsai, Ming-Shann & Liao, Szu-Lang & Chiang, Shu-Ling, 2009. "Analyzing yield, duration and convexity of mortgage loans under prepayment and default risks," Journal of Housing Economics, Elsevier, vol. 18(2), pages 92-103, June.
    16. Jacoby, Gady & Roberts, Gordon S., 2003. "Default- and call-adjusted duration for corporate bonds," Journal of Banking & Finance, Elsevier, vol. 27(12), pages 2297-2321, December.
    17. Fooladi, Iraj J. & Roberts, Gordon S. & Skinner, Frank, 1997. "Duration for bonds with default risk," Journal of Banking & Finance, Elsevier, vol. 21(1), pages 1-16, January.
    18. Alain Capiez, 2000. "Evaluation du crédit-bail et risque de crédit," Post-Print halshs-00587435, HAL.
    19. Klein, Peter, 1996. "Pricing Black-Scholes options with correlated credit risk," Journal of Banking & Finance, Elsevier, vol. 20(7), pages 1211-1229, August.
    20. Ephraim Clark & Geeta Lakshmi, 2003. "Controlling the risk: a case study of the Indian liquidity crisis 1990-92," Journal of International Development, John Wiley & Sons, Ltd., vol. 15(3), pages 285-298.
    21. Davies, Andrew, 2008. "Credit spread determinants: An 85 year perspective," Journal of Financial Markets, Elsevier, vol. 11(2), pages 180-197, May.
    22. Lee, Hei Wai & Xie, Yan Alice & Yau, Jot, 2011. "The impact of sovereign risk on bond duration: Evidence from Asian sovereign bond markets," International Review of Economics & Finance, Elsevier, vol. 20(3), pages 441-451, June.

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