ENTROPY INDICATORS FOR AN ESTIMATION OF CURRENCY RISKS

Keywords: Foreign Exchange Rate, Currency Risk, Entropy, Return Time Series

Abstract

As the world’s largest by-turnover financial market, foreign exchange market is undoubtedly an open, dynamic system. A wide range of variables influence it, i.e., political and economic factors, global shocks. Simultaneously, currency distress also affects the countries’ financial and real sectors. It determines the crucial importance of maintaining a stable, predictable exchange rate and, in the opposite case, effective currency risk management, requiring proper measurement. Since statistical methods of currency risk assessment do not always guarantee a reliable reflection of potential threats due to the noise in financial time series or irrational agents’ behaviour, it is necessary to search for alternative risk measurement methods. One way is by using tools of the theory of dynamic nonlinear systems, namely entropy indicators, such as Shannon and Renyi. Because of the high economic, or rather trade, openness, besides the hryvnia itself, we investigated currency fluctuations of the leading imported markets for domestic products. The reason is the potential transmission of shocks from these countries to Ukraine via various mechanisms. Counter-intuitively, a high entropy, implying more significant uncertainty, complexity, and unpredictability, simultaneously indicates more mature, efficient, self-organized systems. In contrast, lower entropy values would indicate inefficient markets exposed to shocks and even bifurcations, particularly crises. Moreover, we propose considering entropy as a reliable indicator of risks based on the statistical and economic significance of correlation coefficients with other qualitative characteristics of distributions of exchange rate returns - skewness and kurtosis. The results may help investors and portfolio managers better understand exchange rate dynamics, make effective managerial decisions, and minimize losses from unfavourable volatility.

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Author Biography

Valeria Yatsenko, Taras Shevchenko National University of Kyiv, 90A, Vasylkivska str., Kyiv, 03022, Ukraine

PhD Student

References

Adrangi, B., Allender, M. A., Chatrath, A., & Raffiee, K. (2010, December 19). Nonlinear Dependencies and Chaos In The Bilateral Exchange Rate Of The Dollar. International Business & Economics Research Journal (IBER), 9(3). doi: https://doi.org/10.19030/iber.v9i3.538

Anh, T. T. T. (2020). Investigating the Relationships between Asean Stock Markets: an Approach Using the Granger Causality Test of Time-Varying Information Efficiency. Dalat University Journal of Science, 10(4), 43-56 doi: https://doi.org/10.37569/DalatUniversity.10.4.614(2020)

Bask, M., & de Luna, X. (2005, August). EMU and the stability and volatility of foreign exchange: Some empirical evidence. Chaos, Solitons & Fractals, 25(3), 737–750. doi: https://doi.org/10.1016/j.chaos.2004.12.009

Garnier, J., & Solna, K. (2019). Chaos and order in the bitcoin market. Physica A, 524, 708–721. doi: https://doi.org/10.1016/j.physa.2019.04.164

Gonçalves, B. A., Carpi, L., Rosso, O. A., Ravetti, M. G., & Atman, A. (2019, July). Quantifying instabilities in Financial Markets. Physica A: Statistical Mechanics and Its Applications, 525, 606–615. doi: https://doi.org/10.1016/j.physa.2019.03.029

Gu, R. (2017, October). Multiscale Shannon entropy and its application in the stock market. Physica A: Statistical Mechanics and Its Applications, 484, 215–224. doi: https://doi.org/10.1016/j.physa.2017.04.164

Jakimowicz, A. (2020, April 16). The Role of Entropy in the Development of Economics. Entropy, 22(4), 452. doi: https://doi.org/10.3390/e22040452

Jizba, P., Laviˇcka, H., & Tabachová, Z. (2022). Causal Inference in Time Series in Terms of Rényi Transfer Entropy. Entropy, 24, 855. doi: https://doi.org/10.3390/ e24070855

Lahmiri, S., & Bekiros, S. (2020, October). Renyi entropy and mutual information measurement of market expectations and investor fear during the COVID-19 pandemic. Chaos, Solitons & Fractals, 139, 110084. doi: https://doi.org/10.1016/j.chaos.2020.110084

Lahmiri, S., Uddin, G. S., & Bekiros, S. (2017). Nonlinear dynamics of equity, currency and commodity markets in the aftermath of the global financial crisis. Chaos, Solitons and Fractals, 342-346. doi: https://doi.org/101016/jchaos201706019

Liashenko, O., & Kravets, T. (2016). Fractal Analysis of Currency Market: Hurst Index as an Indicator of Abnormal Events. In ICTERI, 550-557. Retrieved from http://ceur-ws.org/Vol-1614/paper_105.pdf

Liu, J., Li, W., & Li, Q. (2022, December 9). Do Institutional Group Holding Anomalies Drive Broad Market Trends? Journal of Organizational and End User Computing, 34(8), 1–31. doi: https://doi.org/10.4018/joeuc.314787

Metin, K. (2019). Volatility measurement of the world indices using different entropy methods. Thermal Science, 23(Suppl. 6), 1849–1861. doi: https://doi.org/10.2298/tsci190130345m

Mishra, S., & Ayyub, B. M. (2019). Shannon Entropy for Quantifying Uncertainty and Risk in Economic Disparity. Risk analysis : an official publication of the Society for Risk Analysis, 39(10), 2160–2181. doi: https://doi.org/10.1111/risa.13313

Miśkiewicz, J. (2021, March 15). Network Analysis of Cross-Correlations on Forex Market during Crises. Globalisation on Forex Market. Entropy, 23(3), 352. doi: https://doi.org/10.3390/e23030352

Olbry´s, J., & Komar, N. (2023). Symbolic Encoding Methods with Entropy-Based Applications to Financial Time Series Analyses. Entropy, 25, 1009. doi: https:// doi.org/10.3390/e25071009

Özkaya, A. (2022, June 25). Chaotic dynamics in Turkish foreign exchange markets. Business & Management Studies: An International Journal, 10(2), 787–795. doi: https://doi.org/10.15295/bmij.v10i2.2068

Plastun, O., & Makarenko, I. (2014). Modelling the behaviour of financial markets during the financial crisis using the fractal market hypothesis. Bulletin of the National Bank of Ukraine, 4, 38-45

Rodriguez-Rodriguez, N., & Miramontes, O. (2022, November 1). Shannon Entropy: An Econophysical Approach to Cryptocurrency Portfolios. Entropy, 24(11), 1583. doi: https://doi.org/10.3390/e24111583

Sheraz, M., & Nasir, I. (2021, May 8). Information-Theoretic Measures and Modeling Stock Market Volatility: A Comparative Approach. Risks, 9(5), 89. doi: https://doi.org/10.3390/risks9050089

Danylchuk, H. (2019, November 28). Fractal and multifractal analysis of current state of world stock markets. Modeling and Information Systems in Economics, 98, 80–90. doi: https://doi.org/10.33111/mise.98.9

Wang, R., Hui, X., & Zhang, X. (2014). Analysis of Multiple Structural Changes in Financial Contagion Based on the Largest Lyapunov Exponents. Mathematical Problems in Engineering, 1–7. doi: https://doi.org/10.1155/2014/209470

Published
2024-06-30
How to Cite
Yatsenko, V. (2024). ENTROPY INDICATORS FOR AN ESTIMATION OF CURRENCY RISKS. Social Economics, (67), 72-80. Retrieved from https://periodicals.karazin.ua/soceconom/article/view/24107
Section
ECONOMICS