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Unspanned Stochastic Volatility in Affine Models: Evidence from Eurodollar Futures and Options

Author

Listed:
  • Ruslan Bikbov

    () (Federal Reserve Board, Washington, DC 20551)

  • Mikhail Chernov

    () (London Business School and CEPR, London NW1 4SA, United Kingdom)

Abstract

Unspanned stochastic volatility (USV) refers to the inability of bonds to replicate volatility-sensitive derivative securities. Affine term structure models require special restrictions on the parameters to exhibit USV. We use a joint Eurodollar futures and options data set to estimate affine three-factor models with and without USV restrictions. The unrestricted model captures prices of futures and options well. Option pricing errors are much larger in the USV model. The USV model is rejected in favor of the unrestricted model based on the likelihood ratio and Wald tests. We use the implications of the unrestricted model as a benchmark for understanding the extant evidence that favors USV. Specifically, we replicate extant tests in samples simulated from the unrestricted model. We show that none of the existing findings contradict the model without USV restrictions.

Suggested Citation

  • Ruslan Bikbov & Mikhail Chernov, 2009. "Unspanned Stochastic Volatility in Affine Models: Evidence from Eurodollar Futures and Options," Management Science, INFORMS, vol. 55(8), pages 1292-1305, August.
  • Handle: RePEc:inm:ormnsc:v:55:y:2009:i:8:p:1292-1305
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    File URL: http://dx.doi.org/10.1287/mnsc.1090.1020
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Heidari, Massoud & Wu, Liuren, 2009. "A Joint Framework for Consistently Pricing Interest Rates and Interest Rate Derivatives," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 44(03), pages 517-550, June.
    2. Collin-Dufresne, Pierre & Goldstein, Robert S. & Jones, Christopher S., 2009. "Can interest rate volatility be extracted from the cross section of bond yields?," Journal of Financial Economics, Elsevier, vol. 94(1), pages 47-66, October.
    3. Sarno, Lucio & Schneider, Paul & Wagner, Christian, 2012. "Properties of foreign exchange risk premiums," Journal of Financial Economics, Elsevier, vol. 105(2), pages 279-310.
    4. TAKAMIZAWA, Hideyuki, 2017. "A Term Structure Model of Interest Rates with Quadratic Volatility," Working Paper Series G-1-18, Center for Financial Research, Graduate School of Commerce and Management, Hitotsubashi University.
    5. Peter Christoffersen & Christian Dorion & Kris Jacobs & Lotfi Karoui, 2014. "Nonlinear Kalman Filtering in Affine Term Structure Models," Management Science, INFORMS, pages 2248-2268.
    6. Michael D. Bauer & Glenn D. Rudebusch, 2017. "Resolving the Spanning Puzzle in Macro-Finance Term Structure Models," Review of Finance, European Finance Association, vol. 21(2), pages 511-553.
    7. Ho, Hsiao-Wei & Huang, Henry H. & Yildirim, Yildiray, 2014. "Affine model of inflation-indexed derivatives and inflation risk premium," European Journal of Operational Research, Elsevier, vol. 235(1), pages 159-169.
    8. Peter Christoffersen & Christian Dorion & Kris Jacobs & Lotfi Karoui, 2014. "Nonlinear Kalman Filtering in Affine Term Structure Models," Cahiers de recherche 1404, CIRPEE.
    9. Christensen, Jens H.E. & Lopez, Jose A. & Rudebusch, Glenn D., 2014. "Can Spanned Term Structure Factors Drive Stochastic Yield Volatility?," Working Paper Series 2014-3, Federal Reserve Bank of San Francisco.
    10. Drew D. Creal & Jing Cynthia Wu, 2014. "Monetary Policy Uncertainty and Economic Fluctuations," NBER Working Papers 20594, National Bureau of Economic Research, Inc.
    11. Philippe Mueller & Andrea Vedolin & Yu-min Yen, 2012. "Bond Variance Risk Premia," FMG Discussion Papers dp699, Financial Markets Group.
    12. Peter Christoffersen & Christian Dorion & Kris Jacobs & Lotfi Karoui, 2014. "Nonlinear Kalman Filtering in Affine Term Structure Models," Management Science, INFORMS, pages 2248-2268.
    13. Park, Yang-Ho, 2016. "The effects of asymmetric volatility and jumps on the pricing of VIX derivatives," Journal of Econometrics, Elsevier, vol. 192(1), pages 313-328.

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