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A multivariate long memory stochastic volatility model

Mike K.P. So and Susanna W.Y. Kwok

Physica A: Statistical Mechanics and its Applications, 2006, vol. 362, issue 2, 450-464

Abstract: This paper develops a multivariate long-memory stochastic volatility model which allows the multi-asset long-range dependence in the volatility process. The motivation is from the fact that both autocorrelations and cross-correlations of some proxies of exchange rate volatility exhibit strong evidence of long-memory behavior. The statistical properties of the new stochastic volatility model provide theoretical explanation to the common findings that long memory volatility properties are more apparent if we use absolute return as a volatility proxy than squared return. Results of the real data application show that our model outperforms an existing multivariate stochastic volatility model.

Keywords: Cross-correlation; Exchange rate; Long-range dependence; Quasi maximum likelihood; Return; Volatility of volatility (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (14)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:362:y:2006:i:2:p:450-464

DOI: 10.1016/j.physa.2005.08.078

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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