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Contribution Details

Type Working Paper
Scope Discipline-based scholarship
Title A Non-Elliptical Orthogonal GARCH Model for Portfolio Selection under Transaction Costs
Organization Unit
Authors
  • Marc Paolella
  • Pawel Polak
  • Patrick Walker
Language
  • English
Series Name Swiss Finance Institute Research Paper
Number 19-51
Number of Pages 33
Date 2019
Abstract Text Covariance matrix forecasts for portfolio optimization have to balance sensitivity to new data points with stability in order to avoid excessive rebalancing. To achieve this, a new robust orthogonal GARCH model for a multivariate set of non-Gaussian asset returns is proposed. The conditional return distribution is multivariate generalized hyperbolic and the dispersion matrix dynamics are driven by the leading factors in a principle component decomposition. Each of these leading factors is endowed with a univariate GARCH structure, while the remaining eigenvalues are kept constant over time. Joint maximum likelihood estimation of all model parameters is performed via an expectation maximization algorithm, and is applicable in high dimensions. The new model generates realistic correlation forecasts even for large asset universes and captures rising pairwise correlations in periods of market distress better than numerous competing models. Moreover, it leads to improved forecasts of an eigenvalue-based financial systemic risk indicator. Crucially, it generates portfolios with much lower turnover and superior risk-adjusted returns net of transaction costs, outperforming the equally weighted strategy even under high transaction fees.
Official URL http://dx.doi.org/10.2139/ssrn.3460049
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