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Cholesky Realized Stochastic Volatility Model

Shinichiro Shirota, Yasuhiro Omori (), Hedibert. F. Lopes and Haixiang Piao
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Shinichiro Shirota: Department of Statistical Science, Duke University
Hedibert. F. Lopes: Insper Institute of Education and Research
Haixiang Piao: Nippon Life Insurance Company

No CIRJE-F-1019, CIRJE F-Series from CIRJE, Faculty of Economics, University of Tokyo

Abstract: Multivariate stochastic volatility models with leverage are expected to play important roles in financial applications such as asset allocation and risk management. However, these models suffer from two major difficulties: (1) there are too many parameters to estimate by using only daily asset returns and (2) estimated covariance matrices are not guaranteed to be positive definite. Our approach takes advantage of realized covariances to achieve the efficient estimation of parameters by incorporating additional information for the co-volatilities, and considers Cholesky decomposition to guarantee the positive definiteness of the covariance matrices. In this framework, a exible model is proposed for stylized facts of financial markets, such as dynamic correlations and leverage effects among volatilities. By using the Bayesian approach, Markov Chain Monte Carlo implementation is described with a simple but efficient sampling scheme. Our model is applied to the data of nine U.S. stock returns, and it is compared with other models on the basis of portfolio performances.

New Economics Papers: this item is included in nep-ets and nep-rmg
Date: 2016-08
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Journal Article: Cholesky realized stochastic volatility model (2017) Downloads
Working Paper: Cholesky Realized Stochastic Volatility Model (2015) Downloads
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