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Dynamic stochastic copula models: estimation, inference and applications

Author

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  • Hafner, C.M.

    (Externe publicaties SBE)

  • Manner, H.

    (Quantitative Economics)

Abstract

We propose a new dynamic copula model where the parameter characterizing dependence follows an autoregressive process. As this model class includes the Gaussian copula with stochastic correlation process, it can be viewed as a generalization of multivariate stochastic volatility models. Despite the complexity of the model, the decoupling of marginals and dependence parameters facilitates estimation. We propose estimation in two steps, where first the parameters of the marginal distributions are estimated, and then those of the copula. Parameters of the latent processes (volatilities and dependence) are estimated using efficient importance sampling (EIS). We discuss goodness-of-fit tests and ways to forecast the dependence parameter. For two bivariate stock index series, we show that theproposed model outperforms standard competing models.
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Suggested Citation

  • Hafner, C.M. & Manner, H., 2008. "Dynamic stochastic copula models: estimation, inference and applications," Research Memorandum 043, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    • Handle: RePEc:unm:umamet:2008043
    DOI: 10.26481/umamet.2008043
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