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The Risk Premium of Volatility Implicit in Currency Options

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Author Info
Guo, Dajiang
Abstract

This article provides an empirical investigation of the risk-neutral variance process and the market price of variance risk implied in the foreign-currency options market. There are three principal contributions. First, the parameters of Heston's mean-reverting square-root stochastic volatility model are estimated using dollar/mark option prices from 1987 to 1992. Second, it is shown that these implied parameters can be combined with historical moments of the dollar/mark exchange rate to deduce an estimate of the market price of variance risk. These estimates are found to be nonzero, time varying, and of sufficient magnitude to imply that the compensation for variance risk is a significant component of the risk premia in the currency market. Finally, the out-of-sample test suggests that the historical variance and the Hull and White implied variance contain no more information than that imbedded in the Heston implied variance.

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Publisher Info
Article provided by American Statistical Association in its journal Journal of Business and Economic Statistics.

Volume (Year): 16 (1998)
Issue (Month): 4 (October)
Pages: 498-507
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Handle: RePEc:bes:jnlbes:v:16:y:1998:i:4:p:498-507

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  1. Gael M. Martin & Andrew Reidy & Jill Wright, 2009. "Does the option market produce superior forecasts of noise-corrected volatility measures?," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 24(1), pages 77-104. [Downloadable!]
    Other versions:
  2. Ángel León & Gabriele Fiorentini & Gonzalo Rubio, 2000. "Short-Term Options With Stochastic Volatility: Estimation And Empirical Performance," Working Papers. Serie AD 2000-25, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie). [Downloadable!]
    Other versions:
  3. Caio Ibsen R. Almeida & José Valentim M. Vicente, 2007. "Identifying Volatility Risk Premium from Fixed Income Asian Options," Working Papers Series 136, Central Bank of Brazil, Research Department. [Downloadable!]
    Other versions:
  4. Catherine S. Forbes & Gael M. Martin & Jill Wright, 2003. "Bayesian Estimation of a Stochastic Volatility Model Using Option and Spot Prices: Application of a Bivariate Kalman Filter," Monash Econometrics and Business Statistics Working Papers 17/03, Monash University, Department of Econometrics and Business Statistics. [Downloadable!]
  5. C.S. Forbes & G.M. Martin & J. Wright, 2002. "Bayesian Estimation of a Stochastic Volatility Model Using Option and Spot Prices," Monash Econometrics and Business Statistics Working Papers 2/02, Monash University, Department of Econometrics and Business Statistics. [Downloadable!]
  6. Gael M. Martin & Andrew Reidy & Jill Wright, 2006. "Assessing the Impact of Market Microstructure Noise and Random Jumps on the Relative Forecasting Performance of Option-Implied and Returns-Based Volatility," Monash Econometrics and Business Statistics Working Papers 10/06, Monash University, Department of Econometrics and Business Statistics. [Downloadable!]
  7. Teresa Corzo Santamaría & Javier Gómez Biscarri, 2004. "Nonparametric Estimation of Convergence of Interest Rates: Effects on Bond Pricing," Faculty Working Papers 03/04, School of Economics and Business Administration, University of Navarra. [Downloadable!]
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  8. Giovanni Barone-Adesi & Claudia Ravanelli & Henrik Rasmussen, 2003. "An Option Pricing Formula for the GARCH diffusion model," OFRC Working Papers Series 2003mf07, Oxford Financial Research Centre. [Downloadable!]
  9. Fabio Fornari, 2008. "Assessing the compensation for volatility risk implicit in interest rate derivatives," Working Paper Series 859, European Central Bank. [Downloadable!]
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