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Maximum likelihood estimation of non-affine volatility processes

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  • Chourdakis, Kyriakos
  • Dotsis, George

Abstract

In this paper we develop a new estimation method for extracting non-affine latent stochastic volatility and risk premia from measures of model-free realized and risk-neutral integrated volatility. We estimate non-affine models with nonlinear drift and constant elasticity of variance and we compare them to the popular square-root stochastic volatility model. Our empirical findings are: (1) the square-root model is misspecified; (2) the inclusion of constant elasticity of variance and nonlinear drift captures stylized facts of volatility dynamics and (3) the square-root stochastic volatility model is explosive under the risk-neutral probability measure.

Suggested Citation

  • Chourdakis, Kyriakos & Dotsis, George, 2011. "Maximum likelihood estimation of non-affine volatility processes," Journal of Empirical Finance, Elsevier, vol. 18(3), pages 533-545, June.
    • Handle: RePEc:eee:empfin:v:18:y:2011:i:3:p:533-545
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    8. Xinyu WU & Hailin ZHOU, 2016. "GARCH DIFFUSION MODEL, iVIX, AND VOLATILITY RISK PREMIUM," ECONOMIC COMPUTATION AND ECONOMIC CYBERNETICS STUDIES AND RESEARCH, Faculty of Economic Cybernetics, Statistics and Informatics, vol. 50(1), pages 327-342.
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    10. Pollastri, Alessandro & Rodrigues, Paulo & Schlag, Christian & Seeger, Norman J., 2023. "A jumping index of jumping stocks? An MCMC analysis of continuous-time models for individual stocks," Journal of Empirical Finance, Elsevier, vol. 70(C), pages 322-341.

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