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An Analytic Solution for Interest Rate Swap Spreads

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Author Info
Mark Grinblatt (Anderson School of Management)

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Abstract

This paper argues that liquidity differences between government securities and short term Eurodollar borrowings account for interest rate swap spreads. It then models 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 illustrate that many realistic "swap spread term structures" can be replicated. Model parameters are estimated using weekly data from January 1988 through February 1992 on the "term structure of swap spreads." Some simple tests of the model are performed using this data.

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Paper provided by Anderson Graduate School of Management, UCLA in its series University of California at Los Angeles, Anderson Graduate School of Management with number 1144.

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Date of creation: 01 Apr 1995
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Handle: RePEc:cdl:anderf:1144

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. 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. [Downloadable!] (restricted)
  2. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November. [Downloadable!] (restricted)
  3. 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. [Downloadable!]
  4. 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)
  5. 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. [Downloadable!]
  6. Amihud, Yakov & Mendelson, Haim, 1991. " Liquidity, Maturity, and the Yields on U.S. Treasury Securities," Journal of Finance, American Finance Association, vol. 46(4), pages 1411-25, September. [Downloadable!] (restricted)
  7. 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)
  8. Litzenberger, Robert H, 1992. " Swaps: Plain and Fanciful," Journal of Finance, American Finance Association, vol. 47(3), pages 831-50, July. [Downloadable!] (restricted)
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. 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. [Downloadable!] (restricted)
    Other versions:
  2. Gregory R. Duffee, 1996. "Treasury yields and corporate bond yield spreads: an empirical analysis," Finance and Economics Discussion Series 96-20, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
  3. Gordon Delianedis & Robert Geske, 2001. "The Components of Corporate Credit Spreads: Default, Recovery, Tax, Jumps, Liquidity, and Market Factors," University of California at Los Angeles, Anderson Graduate School of Management 1025, Anderson Graduate School of Management, UCLA. [Downloadable!]
  4. SOLNIK, Bruno & COLLIN-DUFRESNE, Pierre, 2000. "On the term structure of default premia in the Swap and Libor markets," Les Cahiers de Recherche 704, HEC Paris. [Downloadable!]
  5. Gregory R. Duffee, 1996. "Estimating the price of default risk," Finance and Economics Discussion Series 96-29, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
  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. [Downloadable!] (restricted)
  7. Ravi Jagannathan & Andrew Kaplin & Steve Guoqiang Sun, 2001. "An Evaluation of Multi-Factor CIR Models Using LIBOR, Swap Rates, and Cap and Swaption Prices," NBER Working Papers 8682, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  8. Arvind Krishnamurthy & Annette Vissing-Jorgensen, 2007. "The Demand for Treasury Debt," NBER Working Papers 12881, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  9. Jesus Saa-Requejo & Pedro Santa-Clara, 1997. "Bond Pricing with Default Risk," University of California at Los Angeles, Anderson Graduate School of Management 1127, Anderson Graduate School of Management, UCLA. [Downloadable!]
  10. Marti G. Subrahmanyam & Young Ho Eom & Jun Uno, 2000. "Credit Risk and the Pricing of Japanese Yen Interest Rate Swaps," New York University, Leonard N. Stern School Finance Department Working Paper Seires 98-069, New York University, Leonard N. Stern School of Business-. [Downloadable!]
  11. Somnath Chatterjee, 2005. "An Investigation Into The Linkages Between Euro And Sterling Swap Spreads," Working Papers 2005_1, Department of Economics, University of Glasgow. [Downloadable!]
  12. 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. [Downloadable!]
    Other versions:
  13. Ilias Lekkos & Costas Milas, 2002. "Common risk factors in the US and UK interest rate swap markets:Evidence from a non-linear vector autoregression approach," Economics and Finance Discussion Papers 02-05, Economics and Finance Section, School of Social Sciences, Brunel University. [Downloadable!]
    Other versions:
  14. Jun Liu & Francis Longstaff & Ravit Mandell, 2000. "The Market Price of Credit Risk: An Empirical Analysis of Interest Rate Swap Spreads," University of California at Los Angeles, Anderson Graduate School of Management 1076, Anderson Graduate School of Management, UCLA. [Downloadable!]
  15. Joseph Byrne & Alexandros Kontonikas & Alberto Montagnoli, 2007. "Unit Roots in Inflation and Aggregation Bias," Working Papers 2007_07, Department of Economics, University of Glasgow. [Downloadable!]
  16. Hayette Gatfaoui, 2003. "Risque de Défaut et Risque de Liquidité : Une Etude de Deux Composantes du Spread de Crédit," Risk and Insurance 0308005, EconWPA. [Downloadable!]
  17. Cho-Hoi Hui & Lillie Lam, 2008. "What Drives Hong Kong Dollar Swap Spreads: Credit or Liquidity?," Working Papers 0810, Hong Kong Monetary Authority. [Downloadable!]
  18. Jeremy Leake, . "Credit spreads on sterling corporate bonds and the term structure of UK interest rates," Bank of England working papers 202, Bank of England. [Downloadable!]
  19. 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.). [Downloadable!]
  20. Christopher F. Baum & Mustafa Caglayan & Andreas Stephan & Oleksandr Talavera, 2006. "Uncertainty Determinants of Corporate Liquidity," Working Papers 2006_1, Department of Economics, University of Glasgow. [Downloadable!]
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