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Estimation methods for stochastic volatility models: a survey
Authors:Carmen Broto  Esther Ruiz
Institution:Departamento de Estadística, Universidad Carlos III de Madrid
Abstract: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
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