International diversification with parametric value-at-risk portfolios beyond normality

Živkov, Dejan and Lončar, Sanja (2026) International diversification with parametric value-at-risk portfolios beyond normality. Risk Management, 28 (15). ISSN 1460-3799

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Abstract

This paper examines the reduction of extreme downside risk for a U.S. investor holding the S&P500 by constructing multivariate portfolios with developed and emerging European stock indices. Portfolio optimization is conducted using parametric Value-at-Risk under alternative distributional assumptions, including the normal, logistic, hyperbolic secant, and Laplace distributions. The non-Gaussian models capture fat tails while relying on fully invertible closed-form distributions, ensuring numerical stability in optimization. The analysis covers daily data from 2016 to 2024 and distinguishes between pre-crisis and crisis subsamples. Results show that portfolio composition is largely invariant to the chosen VaR specification, but downside risk estimates and back-testing performance differ substantially. Emerging market portfolios consistently provide superior hedging effectiveness due to lower correlation structures, particularly during crisis periods. The back-testing results show that the portfolio with developed stock indices performs better in the pre-crisis sub-sample, satisfying both coverage and independence criteria, whereas in the crisis sub-sample the emerging markets portfolio exhibits superior performance.

Item Type: Article
Uncontrolled Keywords: extreme risk reduction, portfolio optimization, non-normal value at risk models
Depositing User: Unnamed user with email srdjan.jurlina@ien.bg.ac.rs
Date Deposited: 13 May 2026 08:32
Last Modified: 13 May 2026 08:32
URI: http://repository.iep.bg.ac.rs/id/eprint/1259

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