Examining the Forex Market Based on Chaos Theory
الموضوعات :
Elahe Hadizadeh
1
,
Mohammad Taleghani
2
,
Soghra Barari Nokashti
3
1 - Department of Industrial Management, Rasht Branch, Islamic Azad University, Rasht, Iran.
2 - Department of Industrial Management، Rasht Branch، Islamic Azad University ،Rasht ،Iran.
3 - Department of Accounting, Rasht Branch, Islamic Azad University, Rasht, Iran.
تاريخ الإرسال : 27 الأحد , ذو القعدة, 1443
تاريخ التأكيد : 15 الأحد , صفر, 1444
تاريخ الإصدار : 05 الخميس , صفر, 1444
الکلمات المفتاحية:
Dollar,
Chaos theory,
Pound,
Forex,
Euro,
Yen,
ملخص المقالة :
The Forex market is known as the strongest and richest financial market in the world that has been operating continuously. This market is formed based on the exchange rates of different countries, as well as the prices of oil and gold. The price of currency pairs in the Forex market as the largest market for financial transactions has always been of great importance. The purpose of this article is to study the Forex market based on chaos theory. Its statistical population includes three currency pairs Euro / Dollar, Pound / Dollar and Dollar / Yen. The period of prices of the surveyed currency pairs is from January 2017 to December 2021 and its time range includes daily prices. The results showed that after fitting the model and performing the BDS test, on the GARCH model residues in different dimensions and ε of all 6 groups, which are IID residues and there is no dependence on them. The results of Lyapunov's maximalism test showed that for all dimensions, and all time intervals (n), the value of Lyapunov's exponent is a positive and small number, indicating that the time series of the triple currency pair follows a chaotic process.
المصادر:
Brooks, C., Heravi, S.M.(1999). The Effect of (Mis-Specified) GARCH Filters on the Finite Sample Distribution of the BDS Test. Computational Economics13, 147–162. https://doi.org/1023/A:1008612905284
Erçen, H.İ.; Özdeşer, H.; Türsoy, T. The Impact of Macroeconomic Sustainability on Exchange Rate: Hybrid Machine-Learning Sustainability 2022, 14, 5357. https://doi.org/10.3390/su14095357.
Fatum, Rasmu., Hutchison, Michael.(2006). Effectiveness of official daily foreign exchange market intervention operations in Japan, Journal of International Money and Finance Volume 25, Issue 2, March 2006, Pages 199-219. https://doi.org/10.1016/j.jimonfin.2005.11.007.
King, M.R., Osler, C.L., and Rime, D.(2011). Foreign Exchange Market Structure, Players and Evolution. Norges Bank Working Paper No. 2011/10, Available at SSRN: https:// ssrn.com/ abstract=1935858 or http:// dx.doi.org/10.2139/ssrn.1935858
Li, Dongxu., Liu, Erzhuo., & Li, Yunwei.(2021). Macroeconomic News and Risk Exposure to Foreign Exchange Rate Evidence from Chinese Listed Firms. Emerging Markets Finance and Trade, Volume 58, 2022 - Issue 10. https://doi.org/10.1080/1540496X.2021.2010537.
Modjtahedi, , & Daneshvar, A. (2020). A New Credit Risk System Using Hybrid ELECTRE TRI and NSGA-II Methods, Journal of System Management, 6(4), pp. 1-25. 10.30495/JSM.2021.1924341.1445
Mousavi Hanjani, S.M & Iranban, S.J.,(2019). The Relationship between Diversification Strategy, Capital Structure and Profitability in Companies Listed in the Stock Exchange by Combining the Data Line and VAR Methods, Journal of System Management, Vol 5, No. 1., 041-060. 1001.1.23222301 .2019.5.1.3.4.
Ni, Lina., Li, Yujie., Wang, Xiao., Zhang, Jinquan., Yu, Jiguo., Qi, Chengming.(2019). Forecasting of Forex Time Series Data Based on Deep Learning. Procedia Computer Science 147 (2019) 647–652. https://doi.org/10.1016/j.procs.2019.01.189
Ruihong, L., Wei, X. & Shuang, L. Chaos control and synchronization of the Φ6-Van der Pol system driven by external and parametric excitations. Nonlinear Dyn53, 261–271 (2008). https://doi.org/10.1007/s11071-007-9313-3
Sadeghi, alireza., Daneshvar, amir., Madanchi Zaj, Mahdi. (2020). Development of an intelligent method based on fuzzy technical indicators for predicting and trading the euro-dollar exchange rate, financial engineering & securities management, Doi: 1001.1.22519165.1399.11.45.8.5.
Shahriar, Nur Ain.(2022). Contagion effects in ASEAN-5 exchange rates during the Covid-19 pandemi. The North American Journal of Economics and Finance, Volume 62, November 2022, 101707. https://doi.org/10.1016/j.najef.2022.101707.
Shakeri, S.Z.;Homayounifar, M.;Fallahi, M.;Sharabaf Tabrizi, S. (2015).Investigation of the theory of turmoil in the price of Bahar Azadi coins in Iran.Bi-Quarterly Journal of Monetary-Financial Economics (Former Knowledge and Development), 22 (10), 103-84.10.22067/pm.v22i10.21798 (In Persian).
Taheri, Alishir., Shafiee, Morteza & Evazzadeh Fath, Fariborz.(2019). Investigating the Role of Non-Financial Information Analysis and Risk- Return Analysis along with Financial Information in Increasing the Efficiency of the Stock Portfolio of Banks, Journal of System Management, 2019, Issue 3, pp. 123-138. 1001.1.23222301.2019.5.3.8.3.