A Fractionally Integrated Wishart Stochastic Volatility Model
Abstract
There has recently been growing interest in modeling and estimating alternative continuous time multivariate stochastic volatility models. We propose a continuous time fractionally integrated Wishart stochastic volatility (FIWSV) process. We derive the conditional Laplace transform of the FIWSV model in order to obtain a closed form expression of moments. We conduct a two-step procedure, namely estimating the parameter of fractional integration via log-periodgram regression in the rst step, and estimating the remaining parameters via the generalized method of moments in the second step. Monte Carlo results for the procedure shows reasonable performances in nite samples. The empirical results for the bivariate data of the S&P 500 and FTSE 100 indexes show that the data favor the new FIWSV processes rather than one-factor and two-factor models of Wishart autoregressive processes for the covariance structure.Download Info
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Paper provided by Kyoto University, Institute of Economic Research in its series KIER Working Papers with number 848.Length: 29pages
Date of creation: Feb 2013
Date of revision:
Handle: RePEc:kyo:wpaper:848
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Keywords: Diusion process; Multivariate stochastic volatility; Long memory; Fractional Brownian motion; Generalized Method of Moments.;Other versions of this item:
- Manabu Asai & Michael McAleer, 2013. "A Fractionally Integrated Wishart Stochastic Volatility Model," Documentos del Instituto Complutense de Análisis Económico 2013-07, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales.
- Manabu Asai & Michael McAleer, 2013. "A Fractionally Integrated Wishart Stochastic Volatility Model," Tinbergen Institute Discussion Papers 13-025/III, Tinbergen Institute.
- C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models
- C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
- G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
This paper has been announced in the following NEP Reports:
- NEP-ALL-2013-02-16 (All new papers)
- NEP-ECM-2013-02-16 (Econometrics)
- NEP-ETS-2013-02-16 (Econometric Time Series)
- NEP-ORE-2013-02-16 (Operations Research)
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