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An Analytic Solution for Interest Rate Swap Spreads

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  • Grinblatt, Mark

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.

Suggested Citation

  • Grinblatt, Mark, 1995. "An Analytic Solution for Interest Rate Swap Spreads," University of California at Los Angeles, Anderson Graduate School of Management qt9s13f3zx, Anderson Graduate School of Management, UCLA.
    • Handle: RePEc:cdl:anderf:qt9s13f3zx
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    Cited by:

    1. Jagannathan, Ravi & Kaplin, Andrew & Sun, Steve, 2003. "An evaluation of multi-factor CIR models using LIBOR, swap rates, and cap and swaption prices," Journal of Econometrics, Elsevier, vol. 116(1-2), pages 113-146.
    2. Wahyudi, Imam & Robbi, Abdu, 2009. "Exploring Determinant Factors of Bond Trading with Inventory Management Theory (Case Study of Indonesian Capital Market, January – March 2009)," MPRA Paper 59883, University Library of Munich, Germany, revised 16 Jul 2010.
    3. Ying Huang & Carl R. Chen, 2007. "The effect of Fed monetary policy regimes on the US interest rate swap spreads," Review of Financial Economics, John Wiley & Sons, vol. 16(4), pages 375-399.
    4. Joseph Byrne & Alexandros Kontonikas & Alberto Montagnoli, 2007. "Unit Roots in Inflation and Aggregation Bias," Working Papers 2007_07, Business School - Economics, University of Glasgow.
    5. Dottori, Davide & Manna, Michele, 2016. "Strategy and tactics in public debt management," Journal of Policy Modeling, Elsevier, vol. 38(1), pages 1-25.
    6. Adam Kobor & Lishan Shi & Ivan Zelenko, 2005. "What Determines U.S. Swap Spreads?," World Bank Publications - Books, The World Bank Group, number 7272.
    7. D. K. Malhotra & Vivek Bhargava & Mukesh Chaudhry, 2005. "Determinants of Treasury-LIBOR Swap Spreads," Review of Pacific Basin Financial Markets and Policies (RPBFMP), World Scientific Publishing Co. Pte. Ltd., vol. 8(04), pages 687-705.
    8. 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;Academy of Economics and Finance, vol. 36(2), pages 351-370, April.
    9. 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.
    10. Duffee, Gregory R, 1999. "Estimating the Price of Default Risk," The Review of Financial Studies, Society for Financial Studies, vol. 12(1), pages 197-226.
    11. 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.
    12. 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.
    13. 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.
    14. Gregory R. Duffee, "undated". "Treasury Yields and Corporate Bond Yield Spreads: An Empirical Analysis," Finance and Economics Discussion Series 1996-20, Board of Governors of the Federal Reserve System (U.S.), revised 10 Dec 2019.
    15. 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.
    16. 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.
    17. SOLNIK, Bruno & COLLIN-DUFRESNE, Pierre, 2000. "On the term structure of default premia in the Swap and Libor markets," HEC Research Papers Series 704, HEC Paris.
    18. 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-.
    19. 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.
    20. Somnath Chatterjee, 2005. "An Investigation Into The Linkages Between Euro And Sterling Swap Spreads," Working Papers 2005_1, Business School - Economics, University of Glasgow.
    21. 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," Discussion Paper Series 2005_9, Department of Economics, Loughborough University, revised Sep 2005.
    22. Hayette Gatfaoui, 2003. "Risque de Défaut et Risque de Liquidité : Une Etude de Deux Composantes du Spread de Crédit," Risk and Insurance 0308005, University Library of Munich, Germany.

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