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

  • Don H Kim
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    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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    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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    1. Dong-Hyun Ahn & Robert F. Dittmar, 2002. "Quadratic Term Structure Models: Theory and Evidence," Review of Financial Studies, Society for Financial Studies, vol. 15(1), pages 243-288, March.
    2. Charles M. Jones & Owen Lamont & Robin Lumsdaine, 1996. "Macroeconomic News and Bond Market Volatility," Home Pages _005, Princeton University, Department of Economics.
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    4. Rong Fan & Anurag Gupta & Peter Ritchken, 2003. "Hedging in the Possible Presence of Unspanned Stochastic Volatility: Evidence from Swaption Markets," Journal of Finance, American Finance Association, vol. 58(5), pages 2219-2248, October.
    5. David M. Cutler & James M. Poterba & Lawrence H. Summers, 1988. "What Moves Stock Prices?," NBER Working Papers 2538, National Bureau of Economic Research, Inc.
    6. 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.
    7. David K. Backus & Jonathan H. Wright, 2007. "Cracking the Conundrum," Working Papers 07-22, New York University, Leonard N. Stern School of Business, Department of Economics.
    8. David Backus & Jonathan H. Wright, 2007. "Cracking the conundrum," Finance and Economics Discussion Series 2007-46, Board of Governors of the Federal Reserve System (U.S.).
    9. Athanasios Orphanides & Don H. Kim, 2005. "Term Structure Estimation with Survey Data on Interest Rate Forecasts," Computing in Economics and Finance 2005 474, Society for Computational Economics.
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    11. David Backus & Silverio Foresi & Abon Mozumdar & Liuren Wu, 1998. "Predictable Changes in Yields and Forward Rates," NBER Working Papers 6379, National Bureau of Economic Research, Inc.
    12. Torben G. Andersen & Luca Benzoni, 2007. "Do Bonds Span Volatility Risk in the U.S. Treasury Market? A Specification test for Affine Term Structure Models," NBER Working Papers 12962, National Bureau of Economic Research, Inc.
    13. Leippold, Markus & Wu, Liuren, 2002. "Asset Pricing under the Quadratic Class," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 37(02), pages 271-295, June.
    14. Michael J. Fleming & Eli M. Remolona, 1997. "What moves the bond market?," Research Paper 9706, Federal Reserve Bank of New York.
    15. Black, Fischer, 1995. " Interest Rates as Options," Journal of Finance, American Finance Association, vol. 50(5), pages 1371-76, December.
    16. 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.
    17. 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.
    18. 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.
    19. 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.
    20. 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.
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