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Multifactor implied volatility functions for HJM models

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  • I‐Doun Kuo
  • Dean A. Paxson

Abstract

This study evaluates two one‐factor, two two‐factor, and two three‐factor implied volatility functions in the HJM class, with the use of eurodollar futures options across both strike prices and maturities. The primary contributions of this article are (a) to propose and test three implied volatility multifactor functions not considered by K. I. Amin and A. J. Morton (1994), (b) to evaluate models using the AIC criteria as well as other standard criteria neglected by S. Y. M. Zeto (2002), and (c) to .nd that multifactor models incorporating the exponential decaying implied volatility functions generally outperform other models in .tting and prediction, in sharp contrast to K. I. Amin and A. J. Morton, who find the constantvolatility model superior. Correctly specified and calibrated simple constant and square‐root factor models may be superior to inappropriate multifactor models in option trading and hedging strategies. © 2006 Wiley Periodicals, Inc. Jrl Fut Mark 26:809–833, 2006

Suggested Citation

  • I‐Doun Kuo & Dean A. Paxson, 2006. "Multifactor implied volatility functions for HJM models," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 26(8), pages 809-833, August.
    • Handle: RePEc:wly:jfutmk:v:26:y:2006:i:8:p:809-833
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    Cited by:

    1. I‐Doun Kuo & Kai‐Li Wang, 2009. "Implied deterministic volatility functions: An empirical test for Euribor options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 29(4), pages 319-347, April.
    2. Bueno-Guerrero, Alberto & Moreno, Manuel & Navas, Javier F., 2016. "The stochastic string model as a unifying theory of the term structure of interest rates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 217-237.
    3. Chen, Cathy Yi-Hsuan & Kuo, I-Doun, 2015. "Survey sentiment and interest rate option smile," International Review of Economics & Finance, Elsevier, vol. 37(C), pages 125-137.
    4. I.-Doun Kuo, 2011. "Pricing and hedging volatility smile under multifactor interest rate models," Review of Quantitative Finance and Accounting, Springer, vol. 36(1), pages 83-104, January.
    5. Kuo, I-Doun & Lin, Yueh-Neng, 2009. "Empirical performance of multifactor term structure models for pricing and hedging Eurodollar futures options," Review of Financial Economics, Elsevier, vol. 18(1), pages 23-32, January.

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