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An Analytic Solution for Interest Rate Swap Spreads

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  • Grinblatt, Mark
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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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    Bibliographic Info

    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 qt9s13f3zx.

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    Date of creation: 01 Apr 1995
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    Handle: RePEc:cdl:anderf:qt9s13f3zx

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    Cited by:
    1. Finbarr Murphy & Bernard Murphy, 2012. "A vector-autoregression analysis of credit and liquidity factor dynamics in US LIBOR and Euribor swap markets," Journal of Economics and Finance, Springer, vol. 36(2), pages 351-370, April.
    2. Lang, Larry H. P. & Litzenberger, Robert H. & Luchuan Liu, Andy, 1998. "Determinants of interest rate swap spreads," Journal of Banking & Finance, Elsevier, vol. 22(12), pages 1507-1532, December.
    3. 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.
    4. 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.).
    5. Vivek Bhargava & D.K. Malhotra, 2012. "The effects of volatility spillover in the US basis swap markets," International Journal of Financial Services Management, Inderscience Enterprises Ltd, vol. 5(3), pages 216-238.
    6. Adam Kobor & Lishan Shi & Ivan Zelenko, 2005. "What Determines U.S. Swap Spreads?," World Bank Publications, The World Bank, number 7272, October.
    7. Somnath Chatterjee, 2005. "An Investigation Into The Linkages Between Euro And Sterling Swap Spreads," Working Papers 2005_1, Business School - Economics, University of Glasgow.
    8. Jeremy Leake, 2003. "Credit spreads on sterling corporate bonds and the term structure of UK interest rates," Bank of England working papers 202, Bank of England.
    9. Fang, Victor & Muljono, Ronny, 2003. "An empirical analysis of the Australian dollar swap spreads," Pacific-Basin Finance Journal, Elsevier, vol. 11(2), pages 153-173, April.
    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-.
    11. Christopher F. Baum & Mustafa Caglayan & Andreas Stephan & Oleksandr Talavera, 2005. "Uncertainty Determinants of Corporate Liquidity," Boston College Working Papers in Economics 634, Boston College Department of Economics, revised 09 Oct 2006.
    12. Duffee, Gregory R, 1999. "Estimating the Price of Default Risk," Review of Financial Studies, Society for Financial Studies, vol. 12(1), pages 197-226.
    13. 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.
    14. 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.
    15. Lekkos, Ilias, 2007. "Modelling multiple term structures of defaultable bonds with common and idiosyncratic state variables," Journal of Empirical Finance, Elsevier, vol. 14(5), pages 783-817, December.
    16. Huang, Ying & Chen, Carl R., 2007. "The effect of Fed monetary policy regimes on the US interest rate swap spreads," Review of Financial Economics, Elsevier, vol. 16(4), pages 375-399.
    17. Hayette Gatfaoui, 2003. "Risque de Défaut et Risque de Liquidité : Une Etude de Deux Composantes du Spread de Crédit," Risk and Insurance 0308005, EconWPA.
    18. Joseph Byrne & Alexandros Kontonikas & Alberto Montagnoli, 2007. "Unit Roots in Inflation and Aggregation Bias," Working Papers 2007_07, Business School - Economics, University of Glasgow.

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