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Credit Risk and the Pricing of Japanese Yen Interest Rate Swaps

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Author Info
Marti G. Subrahmanyam
Young Ho Eom
Jun Uno
Abstract

In this paper, we investigate the pricing of Japanese yen interest rate swaps during the period 1990 to 1996 with particular reference to credit risk. We estimate the default-free term structure of interest rates using the prices of ten-year Japanese Government Bonds (JGB's), using the basis -spline method. Since there are fewer observations for the swap market, the term structure of swap spot rates is estimated using the more parsimonious polynomial method of Nelson and Siegel. This term structure is then used as the reference for the determination of the spread of swap rates over comparable default-free rates. Two alternative definitions are used for the swap spread. The first is based on the difference between the swap rate and the default-free par-bond yield of the same maturity. The second is based on the difference between the implied zero-coupon (spot) rates in the swap market compared to those in the JGB market. We are able to fit the swap and JGB term structures with low fitting errors of approximately 11 basis points and 2 basis points respectively in terms of the mean absolute deviation. We investigate the statistical properties of the default-free spot rates and the swap spread and reject the hypothesis of lognormality of both variables. The swap spread in the yen market displays an inverted U-shape, in contrast to the dollar market where it rises monotonically. This may be partly explained by liquidity effects in the JGB market as well as market segmentation. Surprisingly, the yen swap spread is only weakly linked to the yen swap spread, although there are indications of causality, especially at the short end, from the dollar market to the yen market. We then investigate how yield curve as well as credit risk factors affects the spread. Our regression results show that the swap spread is negatively related to the level and slope of the term structure and positively related to the curvature. The spread is also positively related to proxies for the short- and long-term credit risk factors.

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Paper provided by New York University, Leonard N. Stern School of Business- in its series New York University, Leonard N. Stern School Finance Department Working Paper Seires with number 98-069.

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Date of creation: Mar 2000
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Handle: RePEc:fth:nystfi:98-069

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Postal: U.S.A.; New York University, Leonard N. Stern School of Business, Department of Economics . 44 West 4th Street. New York, New York 10012-1126
Web page: http://w4.stern.nyu.edu/finance/
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  1. Duffie, Darrell & Singleton, Kenneth J, 1997. " An Econometric Model of the Term Structure of Interest-Rate Swap Yields," Journal of Finance, American Finance Association, vol. 52(4), pages 1287-1321, September. [Downloadable!] (restricted)
  2. McCulloch, J Huston, 1971. "Measuring the Term Structure of Interest Rates," Journal of Business, University of Chicago Press, vol. 44(1), pages 19-31, January. [Downloadable!] (restricted)
  3. Sarig, Oded & Warga, Arthur, 1989. " Some Empirical Estimates of the Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 44(5), pages 1351-60, December. [Downloadable!] (restricted)
  4. Jean Helwege & Christopher M. Turner, 1999. "The Slope of the Credit Yield Curve for Speculative-Grade Issuers," Journal of Finance, American Finance Association, vol. 54(5), pages 1869-1884, October. [Downloadable!] (restricted)
  5. Lars E.O. Svensson, 1994. "Estimating and Interpreting Forward Interest Rates: Sweden 1992 - 1994," NBER Working Papers 4871, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  6. Duffie, Darrell & Huang, Ming, 1996. " Swap Rates and Credit Quality," Journal of Finance, American Finance Association, vol. 51(3), pages 921-49, July. [Downloadable!] (restricted)
  7. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "A Theory of the Term Structure of Interest Rates," Econometrica, Econometric Society, vol. 53(2), pages 385-407, March. [Downloadable!] (restricted)
  8. Benjamin M. Friedman & Kenneth N. Kuttner, 1991. "Why does the paper-bill spread predict real economic activity?," Working Paper Series, Macroeconomic Issues 91-16, Federal Reserve Bank of Chicago.
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  9. 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. [Downloadable!]
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  10. Arturo Estrella & Frederic S. Mishkin, 1996. "Predicting U.S. recessions: financial variables as leading indicators," Research Paper 9609, Federal Reserve Bank of New York. [Downloadable!]
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  11. Gupta, Anurag & Subrahmanyam, Marti G., 2000. "An empirical examination of the convexity bias in the pricing of interest rate swaps," Journal of Financial Economics, Elsevier, vol. 55(2), pages 239-279, February. [Downloadable!] (restricted)
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  12. Nelson, Charles R & Siegel, Andrew F, 1987. "Parsimonious Modeling of Yield Curves," Journal of Business, University of Chicago Press, vol. 60(4), pages 473-89, October. [Downloadable!] (restricted)
  13. Boudoukh, Jacob & Whitelaw, Robert F, 1993. "Liquidity as a Choice Variable: A Lesson from the Japanese Government Bond Market," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 6(2), pages 265-92. [Downloadable!] (restricted)
  14. Sun, Tong-sheng & Sundaresan, Suresh & Wang, Ching, 1993. "Interest rate swaps: An empirical investigation," Journal of Financial Economics, Elsevier, vol. 34(1), pages 77-99, August. [Downloadable!] (restricted)
  15. Litzenberger, Robert H, 1992. " Swaps: Plain and Fanciful," Journal of Finance, American Finance Association, vol. 47(3), pages 831-50, July. [Downloadable!] (restricted)
  16. McCulloch, J Huston, 1975. "The Tax-Adjusted Yield Curve," Journal of Finance, American Finance Association, vol. 30(3), pages 811-30, June. [Downloadable!] (restricted)
  17. Mark Grinblatt, 1995. "An Analytic Solution for Interest Rate Swap Spreads," University of California at Los Angeles, Anderson Graduate School of Management 1144, Anderson Graduate School of Management, UCLA. [Downloadable!]
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