English

Multivariate volatility models

Statistics Theory 2008-12-02 v1 Statistical Finance Statistics Theory

Abstract

Correlations between asset returns are important in many financial applications. In recent years, multivariate volatility models have been used to describe the time-varying feature of the correlations. However, the curse of dimensionality quickly becomes an issue as the number of correlations is k(k1)/2k(k-1)/2 for kk assets. In this paper, we review some of the commonly used models for multivariate volatility and propose a simple approach that is parsimonious and satisfies the positive definite constraints of the time-varying correlation matrix. Real examples are used to demonstrate the proposed model.

Cite

@article{arxiv.math/0702815,
  title  = {Multivariate volatility models},
  author = {Ruey S. Tsay},
  journal= {arXiv preprint arXiv:math/0702815},
  year   = {2008}
}

Comments

Published at http://dx.doi.org/10.1214/074921706000001058 in the IMS Lecture Notes Monograph Series (http://www.imstat.org/publications/lecnotes.htm) by the Institute of Mathematical Statistics (http://www.imstat.org)