Mean Univariate-GARCH VaR Portfolio Optimization: Actual Portfolio Approach

Vladimir Rankovic, Mikica Drenovak, Branko Uroševic and Ranko Jelic

No 5731, CESifo Working Paper Series from CESifo

Abstract: In accordance with Basel Capital Accords, the Capital Requirements (CR) for market risk exposure of banks is a nonlinear function of Value-at-Risk (VaR). Importantly, the CR is calculated based on a bank’s actual portfolio, i.e. the portfolio represented by its current holdings. To tackle mean-VaR portfolio optimization within the actual portfolio framework (APF), we propose a novel mean-VaR optimization method where VaR is estimated using a univariate Generalized AutoRegressive Conditional Heteroscedasticity (GARCH) volatility model. The optimization was performed by employing a Nondominated Sorting Genetic Algorithm (NSGA-II). On a sample of 40 large US stocks, our procedure provided superior mean-VaR trade-offs compared to those obtained from applying more customary mean-multivariate GARCH and historical VaR models. The results hold true in both low and high volatility samples.

Keywords: portfolio optimization; actual portfolios; value at risk; GARCH; NSGA-II (search for similar items in EconPapers)
JEL-codes: C61 (search for similar items in EconPapers)
Date: 2016
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (13)

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