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

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Asai, Manabu and Chang, Chia-Lin and McAleer, Michael (2016) Realized Matrix-Exponential Stochastic Volatility with Asymmetry, Long Memory and Spillovers. [ Documentos de Trabajo del Instituto Complutense de Análisis Económico (ICAE); nº 15, 2016, ISSN: 2341-2356 ]

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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.


Item Type:Working Paper or Technical Report
Uncontrolled Keywords:Matrix-exponential transformation, Realized stochastic covariances, Realized conditional covariances, Asymmetry, Long memory, Spillovers, Dynamic covariance matrix, Finite sample properties, Forecasting performance.
Subjects:Social sciences > Economics > Econometrics
JEL:C22, C32, C58, G32
Series Name:Documentos de Trabajo del Instituto Complutense de Análisis Económico (ICAE)
Volume:2016
Number:15
ID Code:39132
Deposited On:21 Sep 2016 12:03
Last Modified:21 Sep 2016 12:03

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