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Spanned stochastic volatility in bond markets: a reexamination of the relative pricing between bonds and bond options

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Author Info
Don H Kim
Abstract

This paper reexamines the issue of unspanned stochastic volatility (USV) in bond markets and the puzzle of poor relative pricing between bonds and bond options. I make a distinction between the "weak USV" and the "strong USV" scenarios, and analyze the evidence for each of them. I argue that the poor bonds/options relative pricing in the extant literature is not necessarily evidence for the strong USV scenario, and show that a maximally flexible 2-factor quadratic-Gaussian model (a non-USV model) estimated without bond options data can capture much of the movement in bond option prices. Dropping the positive-definiteness requirement for nominal interest rates and adopting "regularized" estimations turn out to be important for obtaining sensible results.

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Publisher Info
Paper provided by Bank for International Settlements in its series BIS Working Papers with number 239.

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Length: 40 pages
Date of creation: Dec 2007
Date of revision:
Handle: RePEc:bis:biswps:239

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Related research
Keywords: term structure of interest rates; unspanned stochastic volatility; relative pricing; interest rate derivatives;

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References listed on IDEAS
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. Markus Leippold & Liuren Wu, 2002. "Asset Pricing Under The Quadratic Class," Finance 0207015, EconWPA. [Downloadable!]
    Other versions:
  2. Black, Fischer, 1995. " Interest Rates as Options," Journal of Finance, American Finance Association, vol. 50(5), pages 1371-76, December. [Downloadable!] (restricted)
  3. Michael J. Fleming & Eli M. Remolona, 1997. "What moves the bond market?," Research Paper 9706, Federal Reserve Bank of New York. [Downloadable!]
    Other versions:
  4. Caio Almeida & Jeremy J. Graveline & Scott Joslin, 2005. "Do Options Contain Information About Excess Bond Returns?," IBMEC RJ Economics Discussion Papers 2005-04, Economics Research Group, IBMEC Business School - Rio de Janeiro. [Downloadable!]
  5. Pierre Collin-Dufresne & Robert S. Goldstein, 2002. "Do Bonds Span the Fixed Income Markets? Theory and Evidence for Unspanned Stochastic Volatility," Journal of Finance, American Finance Association, vol. 57(4), pages 1685-1730, 08. [Downloadable!] (restricted)
  6. Gregory R. Duffee, 2002. "Term Premia and Interest Rate Forecasts in Affine Models," Journal of Finance, American Finance Association, vol. 57(1), pages 405-443, 02. [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)
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  8. Don H. Kim & Athanasios Orphanides, 2005. "Term structure estimation with survey data on interest rate forecasts," Finance and Economics Discussion Series 2005-48, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
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  9. Jones, Charles M. & Lamont, Owen & Lumsdaine, Robin L., 1998. "Macroeconomic news and bond market volatility," Journal of Financial Economics, Elsevier, vol. 47(3), pages 315-337, March. [Downloadable!] (restricted)
  10. Don H Kim & Athanasios Orphanides, 2007. "The bond market term premium: what is it, and how can we measure it?," BIS Quarterly Review, Bank for International Settlements, June. [Downloadable!]
  11. Haitao Li & Feng Zhao, 2006. "Unspanned Stochastic Volatility: Evidence from Hedging Interest Rate Derivatives," Journal of Finance, American Finance Association, vol. 61(1), pages 341-378, 02. [Downloadable!] (restricted)
  12. Backus, David & Foresi, Silverio & Mozumdar, Abon & Wu, Liuren, 2001. "Predictable changes in yields and forward rates," Journal of Financial Economics, Elsevier, vol. 59(3), pages 281-311, March. [Downloadable!] (restricted)
    Other versions:
  13. Markus Leippold & Liuren Wu, 2002. "Design and Estimation of Quadratic Term Structure Models," Finance 0207014, EconWPA. [Downloadable!]
  14. Pierre Collin-Dufresne & Christopher S. Jones & Robert S. Goldstein, 2004. "Can Interest Rate Volatility be Extracted from the Cross Section of Bond Yields? An Investigation of Unspanned Stochastic Volatility," NBER Working Papers 10756, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  15. David K. Backus & Jonathan H. Wright, 2007. "Cracking the Conundrum," NBER Working Papers 13419, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  16. David M. Cutler & James M. Poterba & Lawrence H. Summers, 1989. "What Moves Stock Prices?," NBER Working Papers 2538, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  17. Dong-Hyun Ahn & Robert F. Dittmar, 2002. "Quadratic Term Structure Models: Theory and Evidence," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 15(1), pages 243-288, March.
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Cited by:
(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. Stefania D'Amico & Don H Kim & Min Wei, 2008. "Tips from TIPS: the informational content of Treasury Inflation-Protected Security prices," BIS Working Papers 248, Bank for International Settlements. [Downloadable!]
  2. Stefania D'Amico & Don H. Kim & Min Wei, 2008. "Tips from TIPS: the informational content of Treasury Inflation-Protected Security prices," Finance and Economics Discussion Series 2008-30, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
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