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A Spectral Estimation of Tempered Stable Stochastic Volatility Models and Option Pricing

By Junye Lia, Carlo Favero and Fulvio Ortu

A characteristic function-based method is proposed to estimate the time-changed L´evy models, which take into account both stochastic volatility and infinite-activity jumps. The method facilitates computation and overcomes problems related to the discretization error and to the non-tractable probability density. Estimation results and option pricing performance indicate that the infiniteactivity model performs better than the finite-activity one. By introducing a jump component in the volatility process, a double-jump model is also investigated.

Keywords: Empirical characteristic function; Stochastic volatility; Infinite-activity jumps; Option pricing; Continuous GMM.

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Last updated November 26, 2010