Realized Matrix-Exponential Stochastic Volatility with Asymmetry, Long Memory and Spillovers

Manabu Asai, Chia-Lin Chang () and Michael McAleer

No 2016-15, Documentos de Trabajo del ICAE from Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico

Abstract: The paper develops a novel realized matrix-exponential stochastic volatility model of multivariate returns and realized covariances that incorporates asymmetry and long memory (hereafter the RMESV-ALM model). The matrix exponential transformation guarantees the positivedefiniteness of the dynamic covariance matrix. The contribution of the paper ties in with Robert Basmann’s seminal work in terms of the estimation of highly non-linear model specifications (“Causality tests and observationally equivalent representations of econometric models”, Journal of Econometrics, 1988, 39(1-2), 69–104), especially for developing tests for leverage and spillover effects in the covariance dynamics. Efficient importance sampling is used to maximize the likelihood function of RMESV-ALM, and the finite sample properties of the quasi-maximum likelihood estimator of the parameters are analysed. Using high frequency data for three US financial assets, the new model is estimated and evaluated. The forecasting performance of the new model is compared with a novel dynamic realized matrix-exponential conditional covariance model. The volatility and co-volatility spillovers are examined via the news impact curves and the impulse response functions from returns to volatility and co-volatility.

Keywords: Matrix-exponential transformation; Realized stochastic covariances; Realized conditional covariances; Asymmetry; Long memory; Spillovers; Dynamic covariance matrix; Finite sample properties; Forecasting performance. (search for similar items in EconPapers)
JEL-codes: C22 C32 C58 G32 (search for similar items in EconPapers)
Pages: 39 pages
Date: 2016-09
New Economics Papers: this item is included in nep-ets, nep-ore and nep-rmg
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https://eprints.ucm.es/id/eprint/39132/1/1615.pdf (application/pdf)

Related works:
Working Paper: Realized Matrix-Exponential Stochastic Volatility with Asymmetry, Long Memory and Spillovers (2016)
Working Paper: Realized Matrix-Exponential Stochastic Volatility with Asymmetry, Long Memory and Spillovers (2016)
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