Risk Measures for Investment Values and Returns Based on Skewed-Heavy Tailed Distributions: Analytical Derivations and Comparison

23 Pages Posted: 26 Jun 2018 Last revised: 6 Dec 2020

Date Written: December 5, 2020

Abstract

The skewed generalized t (SGT) displays an exceptional ability in modelling the tails of the empirical distributions of returns of financial and other assets. This feature makes it an appealing candidate for the computation of value at risk and expected shortfall measures, used by regulators, investors, portfolio managers and actuaries to measure and manage the risk exposure of their assets. This paper makes a specific contribution by deriving the analytical equations for the computation of value at risk, expected shortfall and downside risk measures for asset values and returns based on the SGT distribution. An assessment using simulations and estimation show that risk measures based on returns overestimate risk exposure.

Keywords: downside risk, expected shortfall, flexible distributions, risk management, SGT, value at risk

JEL Classification: G18, G21

Suggested Citation

Theodossiou, Panayiotis, Risk Measures for Investment Values and Returns Based on Skewed-Heavy Tailed Distributions: Analytical Derivations and Comparison (December 5, 2020). Available at SSRN: https://ssrn.com/abstract=3194196 or http://dx.doi.org/10.2139/ssrn.3194196

Panayiotis Theodossiou (Contact Author)

Cyprus University of Technology ( email )

Limassol, 3603
Cyprus

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