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An Analytic Solution for Interest Rate Swap Spreads

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  • Mark Grinblatt

Abstract

This paper argues that liquidity differences between government securities and short term Eurodollar borrowings account for interest rate swap spreads. It then models the convenience of liquidity as a linear function of two mean-reverting state variables and values it. The interest rate swap spread for a swap of particular maturity is the annuitized equivalent of this value. It has a closed form solution: a simple integral. Special cases examined include the Vasicek (1977) and Cox-Ingersoll-Ross (1985) one-factor term structure models. N

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Bibliographic Info

Article provided by International Review of Finance Ltd. in its journal International Review of Finance.

Volume (Year): 2 (2001)
Issue (Month): 3 ()
Pages: 113-149

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Handle: RePEc:bla:irvfin:v:2:y:2001:i:3:p:113-149

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References

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  1. Longstaff, Francis A & Schwartz, Eduardo S, 1995. " A Simple Approach to Valuing Risky Fixed and Floating Rate Debt," Journal of Finance, American Finance Association, vol. 50(3), pages 789-819, July.
  2. Duffie, Darrell & Huang, Ming, 1996. " Swap Rates and Credit Quality," Journal of Finance, American Finance Association, vol. 51(3), pages 921-49, July.
  3. Mark Grinblatt & Francis A. Longstaff, 2000. "Financial Innovation and the Role of Derivative Securities: An Empirical Analysis of the Treasury STRIPS Program," Journal of Finance, American Finance Association, vol. 55(3), pages 1415-1436, 06.
  4. Warga, Arthur, 1992. "Bond Returns, Liquidity, and Missing Data," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 27(04), pages 605-617, December.
  5. 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.
  6. 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.
  7. Kamara, Avraham, 1994. "Liquidity, Taxes, and Short-Term Treasury Yields," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 29(03), pages 403-417, September.
  8. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
  9. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(04), pages 627-627, November.
  10. Sarig, Oded & Warga, Arthur, 1989. "Bond Price Data and Bond Market Liquidity," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 24(03), pages 367-378, September.
  11. 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.
  12. Litzenberger, Robert H, 1992. " Swaps: Plain and Fanciful," Journal of Finance, American Finance Association, vol. 47(3), pages 831-50, July.
  13. Boudoukh, Jacob & Whitelaw, Robert F, 1993. "Liquidity as a Choice Variable: A Lesson from the Japanese Government Bond Market," Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 265-92.
  14. Robert A. Jarrow, 2001. "Counterparty Risk and the Pricing of Defaultable Securities," Journal of Finance, American Finance Association, vol. 56(5), pages 1765-1799, October.
  15. 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.
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Citations

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Cited by:
  1. Baum, Christopher F. & Caglayan, Mustafa & Stephan, Andreas & Talavera, Oleksandr, 2008. "Uncertainty determinants of corporate liquidity," Economic Modelling, Elsevier, vol. 25(5), pages 833-849, September.
  2. Arvind Krishnamurthy & Annette Vissing-Jorgensen, 2007. "The Demand for Treasury Debt," NBER Working Papers 12881, National Bureau of Economic Research, Inc.
  3. Rong Fan & Joseph Haubrich & Peter Ritchken & James Thomson, 2003. "Getting the Most Out of a Mandatory Subordinated Debt Requirement," Journal of Financial Services Research, Springer, vol. 24(2), pages 149-179, October.
  4. Duarte, Jefferson & Longstaff, Francis A. & Yu, Fan, 2005. "Risk and Return in Fixed Income Arbitage: Nickels in Front of a Steamroller?," University of California at Los Angeles, Anderson Graduate School of Management qt6zx6m7fp, Anderson Graduate School of Management, UCLA.
  5. Huang, Ying & Neftci, Salih N. & Guo, Feng, 2008. "Swap curve dynamics across markets: Case of US dollar versus HK dollar," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 18(1), pages 79-93, February.
  6. Jun Liu & Francis A. Longstaff & Ravit E. Mandell, 2002. "The Market Price of Credit Risk: An Empirical Analysis of Interest Rate Swap Spreads," NBER Working Papers 8990, National Bureau of Economic Research, Inc.
  7. Ann Marie Hibbert & Ivelina Pavlova & Joel Barber & Krishnan Dandapani, 2011. "Credit Spread Changes and Equity Volatility: Evidence from Daily Data," The Financial Review, Eastern Finance Association, vol. 46(3), pages 357-383, 08.
  8. Xiao, Tim, 2012. "An Economic Examination of Collateralization in Different Financial Markets," MPRA Paper 47371, University Library of Munich, Germany.
  9. Xiao, Tim, 2012. "An Economic Examination of Collateralization in Different Financial Markets," MPRA Paper 47105, University Library of Munich, Germany.
  10. repec:wyi:journl:002109 is not listed on IDEAS
  11. Ilias Lekkos & Costas Milas & Theodore Panagiotidis, 2005. "On the predictability of common risk factors in the US and UK interest rate swap markets:Evidence from non-linear and linear models," Keele Economics Research Papers KERP 2005/13, Centre for Economic Research, Keele University.
  12. Antulio N. Bomfim, 2003. "Counterparty credit risk in interest rate swaps during times of market stress," Finance and Economics Discussion Series 2003-09, Board of Governors of the Federal Reserve System (U.S.).
  13. Chan, W.S. & Wong, C.S. & Chung, A.H.L., 2009. "Modelling Australian interest rate swap spreads by mixture autoregressive conditional heteroscedastic processes," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(9), pages 2779-2786.
  14. Chung, Hon-Lun & Chan, Wai-Sum, 2010. "Impact of credit spreads, monetary policy and convergence trading on swap spreads," International Review of Financial Analysis, Elsevier, vol. 19(2), pages 118-126, March.

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