Risk management of foreign currency fluctuations based on the natural effect of multi-currency cross-hedging

Document Type : Original Article

Authors
1 Ph.D Candidate of Financial engineering, Department of Management and Accounting, Rudehen Branch, Islamic Azad University, Rudehen, Iran.
2 Assistant Professor, Department of Management and Accounting, Rudehen Branch, Islamic Azad University, Rudehen, Iran
10.22034/jik.2026.24001
Abstract
The purpose of this research is to investigate the risk of foreign exchange fluctuations that are managed by multi-currency cross hedging. In this research, the exchange rates of the USD, GBP, AED, TRY, CNY and EUR in Iranian companies have been studied between 2016/03/20 and 2022/03/20. In this research, assuming that the companies have multi-currency portfolios for their foreign exchanges, the level of risk of fluctuations has been investigated. For this purpose, the dollar currency has been considered as the main currency and five other currencies as the hedge currency, and two currency portfolios and six currencies were formed and they were compared with the optimization method with the conditional risk value criterion in the Matlab. The results showed that the amount of conditional value at risk in the six-currency portfolio is lower (0.0277) compared to the two-currency portfolio. Among the two-currency portfolios, the combination of the dollar and the yuan is the most optimal combination.
Keywords

بهنیا، المیرا، (1398). پوشش ریسک متقاطع ارز بوسیله سبد ارزی با استفاده از الگوریتم ژنتیک. پایان‌نامه کارشناسی ارشد، دانشگاه تربیت مدرس، دانشکده مهندسی صنایع و سیستم‌ها.
شاه آبادی فراهانی، عاطفه؛ مهرآرا، محسن؛ الهی، ناصر؛ اسلامی بیدگلی، سعید، (1397). بررسی بهینه پوشش ریسک نرخ ارز با استفاده از بازار آتی طلا در بازارهای مالی در حال توسعه و توسعه یافته: مطالعه موردی بورس تهران و شیکاگو. دوفصلنامه مطالعات و سیاست‌های اقتصادی، 5 (1)، پیاپی 9، 99-126.
مهرآرا، محسن؛ الهی، ناصر؛ اسلامی بیدگلی، سعید؛ شاه آبادی فراهانی، عاطفه، (1397). بررسی نسبت بهینه پوشش ریسک نرخ ارز و طلا در بازارهای مالی در حال توسعه و نوظهور: مطالعه موردی بورس تهران و استانبول. فصلنامه مدلسازی اقتصادسنجی، 3 (2)، پیاپی 9، 1-21.
Adam-Müller, A. F., & Nolte, I. (2011). Cross hedging under multiplicative basis risk. Journal of Banking & Finance, 35(11), 2956-2964.
Alfaro-Cid, E., Baixauli-Soler, J. S., & Fernández-Blanco, M. O. (2011). Minimizing value-at-risk in a portfolio optimization problem using a multi-objective genetic algorithm. International Journal of Risk Assessment and Management, 5(5/6), 453–477.
Álvarez-Díez, S., Alfaro-Cid, E. & Fernández-Blanco, M. (2016). Hedging foreign exchange rate risk: Multi-currency diversification. European Journal of Management and Business Economics. 25, 2-7.
Basel Committee on Banking Supervision (2013). Consultative Document, Fundamental Review of the Trading Book: A revised Market Risk framework, BIS, Basel, Switzerland.
Baixauli-Soler, J. S., Alfaro-Cid, E., & Fernández-Blanco, M. O. (2010). Several risk measures in portfolio selection: Is it worthwhile? Spanish Journal of Finance and Accounting, 39(147), 421–444.
Behera, J., Pasayat, A, K., Behera, H., Kumar, P. (2023). Prediction based mean-value-at-risk portfolio optimization using machine learning regression algorithms for multi-national stock markets. Engineering Applications of Artificial Intelligence, 120, 105843, https://doi.org/10.1016/j.engappai.2023.105843.
Berg, L., Clement, L. (2018). The Natural effect of multi-currency cross-hedging, an alternative hedging strategy for small- and medium-sized enterprises? Master’s thesis of Science in Finance. Lund University, School of Economics and Management.
Chang, F.Y., Hsin, Ch-W., Shiah- Hou, Sh-R. (2013). A re-examination of exposure to exchange rate risk: The impact of earnings management and currency derivative usage. Journal of banking and finance, 37, 3243-3257.
Harris, R. D. F., & Shen, J. (2006). Hedging and value at risk. The Journal of Futures Markets, 26 (4), 369–390.
Hull, J. (2015). Risk Management and Financial Institutions. 4th ed. Hoboken, New Jersey: John Wiley & Sons, Inc.
Moneta, F., & Kim, D. (2021). Long-Term Foreign Exchange Risk Premia and Inflation Risk. International Review of Financial Analysis, Vol. 78, Available at http://dx.doi.org/10.2139/ssrn.3677302 .
Nicita, A. (2013). Exchange Rates, International Trade and Trade Policies. UNITED NATIONS CONFERENCE ON TRADE AND DEVELOPMENT.
Papaioannou, M. (2006). Exchange Rate Risk Measurement and Management: Issues and Approaches for Firms. International Monetary Fund Working Paper, South Eastern Europe Journal of Economics.
Qi, N., Cheng, L., Li, H., Zhao, Y., Tian, H. (2023). Portfolio optimization of generic energy storage-based virtual power plant under decision-dependent uncertainties. Journal of energy storage, 63, 107000, https://doi.org/10.1016/j.est.2023.107000.
Roccioletti, S. (2006). Risk Measures and their Properties. In: Backtesting Value at Risk and Expected Shortfall. Wiesbaden: Springer Gabler.
Sarykalin, S., Serraino, G. & Uryasev, S. (2008). Value-at-Risk vs. Conditional Value-at-Risk in Risk Management and Optimization. INFORMS Tutorial in Operations Research, 270-294.
Xi, J. (2018). Systematic Foreign Exchange Hedger for Multi-Currency Portfolios Using Genetic Algorithms. Master’s thesis, Chair of Entrepreneurial Risks, Department of Management, Technology and Economics.