Open Conference Systems, STATISTICS AND DATA SCIENCE: NEW CHALLENGES, NEW GENERATIONS

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Estimating and testing autoregressive gamma volatility models for option pricing
Davide Raggi, Sergio Pastorello

Last modified: 2017-05-22

Abstract


In this paper we consider joint estimation of objective and risk-neutral parameters for the autoregressive gamma volatility option pricing model. The model is fitted on sample of 10 years of daily observations on S&P 500 returns, realized variances and options, collected in a large unbalanced panel. Maximum likelihood estimation is implemented using a sequential version of the Efficient Importance sampling algorithm to handle latent factors. Our method provide a computationally fast and reliable solution to estimate the historical and the risk neutral distributions implied by an option pricing model with multiple volatility components.