Estimation Methods for Stochastic Volatility Models: A Survey

38 Pages Posted: 12 Nov 2004

See all articles by Carmen Broto

Carmen Broto

Banco de España

Esther Ruiz

Universidad Carlos III de Madrid - Department of Statistics and Econometrics

Abstract

Although stochastic volatility (SV) models have an intuitive appeal, their empirical application has been limited mainly due to difficulties involved in their estimation. The main problem is that the likelihood function is hard to evaluate. However, recently, several new estimation methods have been introduced and the literature on SV models has grown substantially. In this article, we review this literature. We describe the main estimators of the parameters and the underlying volatilities focusing on their advantages and limitations both from the theoretical and empirical point of view. We complete the survey with an application of the most important procedures to the S&P 500 stock price index.

Keywords: Bayesian procedures, GMM, Indirect inference, Kalman filter, Leverage effect, Long-memory, Maximum likelihood, Monte Carlo Markov Chain, QML, SV-M

Suggested Citation

Broto, Carmen and Ruiz, Esther, Estimation Methods for Stochastic Volatility Models: A Survey. Journal of Economic Surveys, Vol. 18, No. 5, pp. 613-649, December 2004. Available at SSRN: https://ssrn.com/abstract=618316

Carmen Broto

Banco de España ( email )

Alcala 50
Madrid 28014
Spain

Esther Ruiz (Contact Author)

Universidad Carlos III de Madrid - Department of Statistics and Econometrics ( email )

c/ Madrid 126
Getafe (Madrid), 28903
Spain

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