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Market-based estimation of stochastic volatility models

Yacine Ait-Sahalia, Dante Amengual and Elena Manresa

Journal of Econometrics, 2015, vol. 187, issue 2, 418-435

Abstract: We propose a method for estimating stochastic volatility models by adapting the HJM approach to the case of volatility derivatives. We characterize restrictions that observed variance swap dynamics have to satisfy to prevent arbitrage opportunities. When the drift of variance swap rates are affine under the pricing measure, we obtain closed form expressions for those restrictions and formulas for forward variance curves. Using data on the S&P500 index and variance swap rates on different time to maturities, we find that linear mean-reverting one factor models provide inaccurate representation of the dynamics of the variance swap rates while two-factor models significantly outperform the former both in and out of sample.

Keywords: HJM approach; Variance swaps; Maximum likelihood estimation (search for similar items in EconPapers)
JEL-codes: G12 C32 C58 (search for similar items in EconPapers)
Date: 2015
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Journal of Econometrics is currently edited by T. Amemiya, A. R. Gallant, J. F. Geweke, C. Hsiao and P. M. Robinson

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