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Backtesting the evaluation of Value-at-Risk methods for exchange rates

Tomáš Mrkvička (Department of Applied Mathematics and Informatics, Faculty of Economics, University of South Bohemia, České Budějovice, Czech Republic)
Martina Krásnická (Department of Regional Management and Law, Faculty of Economics, University of South Bohemia, České Budějovice, Czech Republic)
Ludvík Friebel (Department of Applied Mathematics and Informatics, Faculty of Economics, University of South Bohemia, České Budějovice, Czech Republic)
Tomáš Volek (Department of Applied Economics and Economy, University of South Bohemia, České Budějovice, Czech Republic)
Ladislav Rolínek (Department of Management, Faculty of Economics, University of South Bohemia, České Budějovice, Czech Republic)

Studies in Economics and Finance

ISSN: 1086-7376

Article publication date: 4 May 2022

Issue publication date: 3 January 2023

207

Abstract

Purpose

Small- and medium-sized enterprises can be highly affected by losses caused by exchange rate changes. The aim of this paper was to find the optimal Value-at-Risk (VaR) method for estimating future exchange rate losses within one year.

Design/methodology/approach

The analysis focuses on five VaR methods, some of them traditional and some of them more up to date with integrated EVT or GARCH. The analysis of VaR methods was concentrated on a time horizon (1–12 months), overestimation predictions and six scenarios based on trends and variability of exchange rates. This study used three currency pairs EUR/CZK, EUR/USD and EUR/JPY for backtesting.

Findings

In compliance with the backtesting results, the parametric VaR with random walk has been chosen, despite its shortcomings, as the most accurate for estimating future losses in a medium-term period. The Nonparametric VaR confirmed insensitivity to the current exchange rate development. The EVT-based methods showed overconservatism (overestimation predictions). Every parametric or semiparametric method revealed a severe increase of liberality with increasing time.

Research limitations/implications

This research is limited to the analysis of suitable VaR models in a long- and short-run period without using artificial intelligence.

Practical implications

The result of this paper is the choice of a proper VaR method for the online application for estimating the future exchange rate for enterprises.

Originality/value

The orientation of medium-term period makes the research original and useful for small- and medium-sized enterprises.

Keywords

Acknowledgements

Authors gratefully acknowledge support from the Ministry of Industry and Trade of the Czech Republic that guaranteed its promotion through the BusinessInfo.cz portal, which is the official Czech portal for business and exports. Authors are also grateful to Marek Šulista for language corrections.

Funding source: This work was supported by the Technology Agency of Czech Republic [Grant No. TACR TL01000348].

Data statement: Authors confirm that the used data of exchange courses from European Central Bank are freely available at https://sdw.ecb.europa.eu/curConverter.do

Citation

Mrkvička, T., Krásnická, M., Friebel, L., Volek, T. and Rolínek, L. (2023), "Backtesting the evaluation of Value-at-Risk methods for exchange rates", Studies in Economics and Finance, Vol. 40 No. 1, pp. 175-191. https://doi.org/10.1108/SEF-06-2021-0248

Publisher

:

Emerald Publishing Limited

Copyright © 2022, Emerald Publishing Limited

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