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The Market Value and Dynamic Interest Rate Risk of Swaps

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  • Andrew H. Chen
  • Mohammed M. Chaudhury

Abstract

At the time of initiation, interest rate swaps are of zero market value to the counterparties involved. However, as time passes, the market value of the swap position of each counterpart may become positive or negative. These value changes are stochastic in nature and are primarily driven by stochastic variations of the term structure of interest rates. In this paper, we develop models for determining the market values and dynamic interest rate risks of existing swap positions using the one-factor general equilibrium term structure model of Cox, Ingersoll, and Ross (1985). The valuation and risk measurement framework of this paper should be useful in developing a value turn risk accounting method advocated by Merton and Bodie (1995) for better internal management and reporting purposes and for more effective regulation. This paper was presented at the Financial Institutions Center's October 1996 conference on "

Suggested Citation

  • Andrew H. Chen & Mohammed M. Chaudhury, 1996. "The Market Value and Dynamic Interest Rate Risk of Swaps," Center for Financial Institutions Working Papers 96-44, Wharton School Center for Financial Institutions, University of Pennsylvania.
  • Handle: RePEc:wop:pennin:96-44
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    File URL: http://fic.wharton.upenn.edu/fic/papers/96/9644.pdf
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    References listed on IDEAS

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    1. Gary Gorton & Richard Rosen, 1995. "Banks and Derivatives," NBER Chapters, in: NBER Macroeconomics Annual 1995, Volume 10, pages 299-349, National Bureau of Economic Research, Inc.
    2. Hull, John, 1989. "Assessing Credit Risk in a Financial Institution's Off-Balance Sheet Commitments," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 24(4), pages 489-501, December.
    3. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 5, pages 129-164, World Scientific Publishing Co. Pte. Ltd..
    4. Longstaff, Francis A., 1993. "The valuation of options on coupon bonds," Journal of Banking & Finance, Elsevier, vol. 17(1), pages 27-42, February.
    5. Jan Loeys, 1985. "Interest rate swaps: a new tool for managing risk," Business Review, Federal Reserve Bank of Philadelphia, issue May/Jun, pages 17-25.
    6. Cooper, Ian A & Mello, Antonio S, 1991. "The Default Risk of Swaps," Journal of Finance, American Finance Association, vol. 46(2), pages 597-620, June.
    7. Dothan, L. Uri, 1978. "On the term structure of interest rates," Journal of Financial Economics, Elsevier, vol. 6(1), pages 59-69, March.
    8. Litzenberger, Robert H, 1992. "Swaps: Plain and Fanciful," Journal of Finance, American Finance Association, vol. 47(3), pages 831-850, July.
    9. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    10. Marcelle V. Arak & Arturo Estrella & Laurie Goodman & Andrew Silver, 1988. "Interest rate swaps: an alternative explanation," Research Paper 8811, Federal Reserve Bank of New York.
    11. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1979. "Duration and the Measurement of Basis Risk," The Journal of Business, University of Chicago Press, vol. 52(1), pages 51-61, January.
    12. Hull, John & White, Alan, 1990. "Pricing Interest-Rate-Derivative Securities," The Review of Financial Studies, Society for Financial Studies, vol. 3(4), pages 573-592.
    13. Titman, Sheridan, 1992. "Interest Rate Swaps and Corporate Financing Choices," Journal of Finance, American Finance Association, vol. 47(4), pages 1503-1516, September.
    14. Duffie, Darrell & Huang, Ming, 1996. "Swap Rates and Credit Quality," Journal of Finance, American Finance Association, vol. 51(3), pages 921-949, July.
    15. Bicksler, James & Chen, Andrew H, 1986. "An Economic Analysis of Interest Rate Swaps," Journal of Finance, American Finance Association, vol. 41(3), pages 645-655, July.
    16. Longstaff, Francis A & Schwartz, Eduardo S, 1992. "Interest Rate Volatility and the Term Structure: A Two-Factor General Equilibrium Model," Journal of Finance, American Finance Association, vol. 47(4), pages 1259-1282, September.
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    Cited by:

    1. Chen, Andrew H., 1997. "Derivatives and bank regulation," Pacific-Basin Finance Journal, Elsevier, vol. 5(2), pages 157-165, June.
    2. Sidanius, Che & Zikes, Filip, 2012. "Financial Stability Paper No 18: OTC derivatives reform and collateral demand impact," Bank of England Financial Stability Papers 18, Bank of England.

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