The paper proposes a general asymmetric multifactor Wishart stochastic volatility (AMWSV) diffusion process which accommodates leverage, feedback effects and multifactor for the covariance process. The paper gives the closed-form solution for the conditional and unconditional Laplace transform of the AMWSV models. The paper also suggests estimating the AMWSV model by the generalized method of moments using information not only of stock prices but also of realized volatilities and co-volatilities. The empirical results for the bivariate data of the NASDAQ 100 and S&P 500 indices show that the general AMWSV model is preferred among several nested models.

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Keywords Feedback effects, Leverage effects, Multifactor model, Multivariate stochastic volatility, Option pricing, Wishart process
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Journal Journal of Econometrics
Asai, M, & McAleer, M.J. (2015). Leverage and feedback effects on multifactor Wishart stochastic volatility for option pricing. Journal of Econometrics, 187(2), 436–446. doi:10.1016/j.jeconom.2015.02.029