Evaluation Systemic Risk and Volatility Contagion of Macroeconomic Variable with Entropy’s and TVP-VAR
Subject Areas : Financial Mathematics
Mehdi Mohammad Pour
1
,
Majid Zanjirdar
2
*
,
Peyman Ghafari Ashtiani
3
1 - Department of Management, Ar.c., Islamic Azad University, Arak, Iran
2 - Department of Finance, Ar.c., Islamic Azad University, Arak, Iran
3 - Department of Management, Ar.c., Islamic Azad University, Arak, Iran
Keywords: Systemic Risk , Entropy , Conditional Value at Risk, Marginal Expected Shortfall , Systemic Expected Shortfall,
Abstract :
The intertwining of different sectors of the economy has caused that in case of volatility in one sector spreads in a domino-like manner to other economic sectors and causes systemic risk. Therefore, it is necessary to identifying the variables that have the highest volatility, to evaluate the contribution of each variable to the occurrence of systemic risk and the amount of their influence. In this research, from the 2007 to 2023, the amount of volatility was calculated and prioritized using 6 Entropy methods. Then, the systemic risk of macroeconomic variables growth was calculated on ∆CoVaR, MES and SES measures, and the spillover determined using TVP-VAR. Findings show: the highest volatility is related to the total index of Tehran Stock Exchange, price of Imam coin and gold, dollar rate, liquidity & GDP. Also, the use of each Entropy methods has the same results in the ranking of the volatility. In all 3 methods of systemic risk, the growth of the exchange rate is the cause of systemic risk and the initiator of contagion. Also, the growth of the total index of the Tehran Stock Exchange and liquidity recipient the spillover and share of negative news higher than positive news.
[1] Abbasian, E., Moradpour Oladi, M., Abbasiuon, V., The Impact of Macroeconomic Variables on the Stock Market: Evidence from Tehran Stock Exchange Market, Iranian journal of economic research, 2008; 12(36): 135-152. (In Persian)
[2] Abrishami, H., Mehrara, M., Rahmanim M., Measuring and analysis of system Risk in Iranian banking sector and investigating its determinates, journal of economic modeling, 2019;3(14): Doi: 10.22075/JEM.2019.18530 (In Persian)
[3] Acharya, V., Richardson, M., Restoring Financial Stability: How to Repair a Failed System, New York: John Wiley & Sons, 2009. Doi: 10.1002/9781118258163
[4] Acharya, V., Engle, R., Richardson, M., Capital Shortfall: A New Approach to Ranking and Regulating Systemic Risks. American Economic Review, 2012; 102(3): 59-64. Doi: 10.1257/aer.102.3.59
[5] Adrian, T., Brunnermeier M.K., CoVaR, NBER Working Paper No. 17454.2011. Doi: 10.3386/w17454
[6] Adrian, T., Brunnermeier, M.K., CoVaR, the American Economic Review, 2016; 106: 1705-1741. Doi: 10.1257/aer.20120555
[7] Ansari Fard, s., Systemic attitude and the concept of Entropy in Economics, 1393; 2(2): 17-34. Doi: 20.11.1399
[8] Azari Gharehloo, A., Rastgar, M., Azizzadeh, F., Comparing systemic Risk Methods in Iran capital market, Thesis for MSE in Tehran University of Tehran, 2006. (In Persian)
[9] Babajani, J., Bolo, Gh., Ghazali, A., A framework for measuring and predicting systemic risk with the mariginal expected shortfall Approach (MES) in Iran capital market, Journal of financial management, 2019; 3(22): 1-29. Doi: 20.1001.1.23453214.6.3.1.6 (In Persian)
[10] Bhanot, K., Burns, N., Hunter, D., Williams, M., News spillovers from the Greek debt crisis: Impact on the Eurozone financial sector, Journal of Banking & Finance, 2014; 38: 51-63. Doi: 10.1016/j.jbankfin.2013.09.015
[11] Brownlees, Ch., Engle, R.,Volatility, Correlation and Tails for Systemic Risk Measurement, Mimeo, Pompeu Fabra, 2012; doi: 10.2139/ssrn.1611229
[12] Calmes, C., Théoret, R., Bank systemic risk and macroeconomic shocks: Canadian and US evidence. Journal of Banking & Finance, 2014; 4(c): 388-402. Doi: 10.1016/j.jbankfin.2013.11.039
[13] Chavoshi, K., Shirmohammadi, F., Identifying, measuring and managing the systemic risk of the coun-try's financial system as a requirement of resilience economy, comprehensive and international confer-ence of resilience economy, Babolsar, North Tarood Industrial Research Company. November 30, 2015, (In Persian)
[14] Choudhry, M., Wong Max, C.Y., An Introduction to value-at-risk. Fifth edition. Chichester, West Sus-sex: Wiley, 2013; 1-192
[15] Claessens, S., Forbs, K., International Financial Contagion, Springer US, 2001; 3-17. Doi:10.1007/978-1-4757-3314-3_1
[16] Del Negro, M., Otrok, C., Dynamic Factor Models with time varying parameters; measuring changes in international business cycles. Federal Reserve Bank of New York, staff reports, 2008; 326: 2-46.
[17] Demirchi, F., optimizing investment portfolio with the CoVaR in Iran capital market, Thesis for MSE in Azzahra University of Tehran, 2000. (In Persian)
[18] Fallahi, F., Jahangiri, Kh., The study of financial contagion among stock market, exchange and gold coin in iran, Journal of Monetary & Financial Economics 2005; 22(10): doi: 10.22067/pm.v22i10.40535
[19] Fatemi, A., Sorting of one-variable distributions by entropy and variance, Master's thesis, Tarbiat Moalem University, Department of Mathematics and Statistics, Tehran, Iran, 2001, (In Persian).
[20] Fattahi, Sh., Soheili, K., Dehghan Jabbarabady, J., Examination of contagion in financial markets in Iran using a combination of Ornstein Uhlenbeck process and continuous Waelet transform, Journal of Economic modelling Research, 1396; 2(4): 33-54. Doi: 10.22075/JEM.201812956.1090 (In Persian)
[21] Fisher, R.A., On an absolute criterion for fitting frequency curves. Messenger of Mathematics 41 155 160. CP1 Z. in Bennet 1971, vol. 1. Z., 1912; 507-521. Doi: 10.2307/2331838
[22] Ghysels, E., Lee, H., Noh, J., Testing for unit roots in seasonal time series: Some Theorical extensions and a Monte Carlo investigation. Journal of Econometrics, 1994; 62(2): 415-442. Doi: 10.1016/0304-4076(94)90030-2
[23] Ghysels, E., Perron, P., Effect of Seasonal Adjustment Filters on Tests for a Unit Root. Journal of Economic, 1993; 55(1): 99-103. Doi: 10.1016/0304-4076(93)90005-p
[24] Hamidi, H., Fallahshams, M., Jahangirnia, H., Safa, M., Dynamic Analysis of uncertainty transmission pattern in financial, housing and macroeconomic sector, Journal of Financing knowledge security analy-sis, 2022; 15(2): 101-114. Doi: 10.30495/jfsa.2022.20592
[25] Hansen, L.P., Chalenge in identifying and measuring systemic risk. In Risk topography: Systemic risk and macro modeling. Chicago: University of Chicago Press, 2013; 15-30.
[26] Hashemi Nejad, M., Abdollahi, M., Forecasting Financial Risk, Bours Publication, Tehran, 3ed, 2006.
[27] Javaheri, M., Zanjirdar, M., The relationship between profit management and the performance of companies studied in Bourse securities of Tehran, Productivity management (beyond management), 2017;42(11: 197-217. (In Persian)
[28] Kenneth, A., The Theory of Discrimination, Working Papers 403, Princeton University, Department of Economics, Industrial Relations Section, 1971.
[29] Kleinow, J., Moreira, F., Strobl, S., Vahamaa, S., Measuring systemic risk: A comparison of alterna-tive market-based approaches, Finance Research Letters,2017; 21(c): 40-46. Doi: 10.1016/j.frl.2017.01.003
[30] Koop, G., Korobilis, D., A new index of financial conditions. European Economic Review, 2014; 71(c): 101–116. Doi: 10.1016/j.euroecorev.2014.07.002
[31] Ludwig Von, B., General system theory: Essays on its foundation and development, rev. ed. New York: George Braziller, 1968.
[32] Manganelli, S., Engle, R., Value at Risk Models in finance. Working Paper, European Central Bank, 2001: 75: 1-45. Doi: 10.2139/ssrn.356220
[33] Mehregan, N., Ahmadi Ghomi, M. A., Exchange Rate Shocks and Financial Markets: An Application of Panel Vector Autoregression Model (Panel VAR). quarterly journal of economic research and polices, 2016; 23 (75) :103-130. (In Persian)
[34] Mensi, W., Hernandez, J., Yoon, S.M., Vo, X., Kang, S., Spillovers and connectedness between major precious metals and major currency markets: The role of frequency Factor, International Review of Fi-nancial Analysis, 2021; 74(c). Doi: 10.1016/g.irfa.2021.101672
[35] Mohammadi Aghdam, S., Qavam, M, H., Fallah Shams, M., Assessment of the Systemic Risk Originat-ed from the Currency Shocks in the Financial Markets of Iran, Financial Research, 2017; 19 (3): 475-504. Doi: 10.22059/jfr.2018.246456.1006557 (In Persian)
[36] Nasrolahi, M., Zanjirdar, M., Davoudinasr, M., Presenting an Entropy-Based Systemic Risk Warning Model, Advances in Mathematical Finance & Applications, 2025; 10(2), 218-234. Doi: 10.2139/ssrn.1136163 Doi:10.71716/amfa.2025.23081909
[37] Nikoomaram, H., Dehghan, A., Spillover effect on the contest markets for capital market, Journal of knowledge investment, 2004; 11(11) 179-200. (In Persian)
[38] Nikumaram, H., Rahnamay Roodposhti,F., Zanjirdar, M., The explanation of risk and expected rate of return by using of Conditional Downside Capital Assets Pricing Model, Financial knowledge of securities analysis, 2008; 3 (1): 55-77. (In Persian)
[39] Oscar, B., Jean-Yves, G., Gregory, G., Assessing the contribution of banks, insurance and other finan-cial services to systemic risk. Journal of Banking & finance, 2014; 47(c): 270-287. Doi: 10.1016/j.jbankfin.2014.05.030
[40] Panahiyan, H., Ghazifini, S.R., Modelling and Investigating the Differences and Similarities in the Volatility of the Stocks Return in Tehran Stock Exchange Using the Hybrid Model PANEL-GARCH, Ad-vances in Mathematical Finance & Applications, 2018; 3(2): 13-26. Doi: 10.22034/amfa.2018.540828
[41] Renyi A. 1961. On measure of entropy and information. Proc.Berelely Symposiom, statist, Probabil-ity, 1 (1961) 547-561
[42] Shannon, C.E., A mathematical theory of communication, Bell system tech, 1948; 27: 379-423. Doi: 10.1002/g.1538-7305. 1948.tb01338.x
[43] Smaga, P. Concept of systemic risk, SRC Special Paper, published by Systemic Risk Centre Special, 2014, The London School of Economics and Political Science, Paper No 5.
[44] Sedunov, J., What is the systemic risk exposure of financial institutions?, Journal of Financial Sta-bility, 2016; 24(c): 71-78. Doi: 10.1016/j.jfs.2016.04.005
[45] Spierdijk, L., Bikker وJ.A., Van Den Hoek, P., Mean reversion in international stock markets: an em-pirical analysis of the 20th century, Journal of International Money and Finance, 2012; 31(2):228-249. Doi: 10.1016/j.jimonfin.2011.11.008
[46] Tahmasebi, M., Yari, Gh., Risk measurement and Implied volatility under Minimal Entropy Martin-gale Measure for Levy process, Advances in Mathematical Finance & Applications, 2020;5(4): 449-467. Doi: 10.22034/amfa.2020.674944
[47] Taleblou, R. Mohajerim P., Modeling the transmission of volatility in the Iranian Stock Market Space-State Nonlinear Approach, Journal of Economic research, 1399; 4(133): 963-990. Doi: 20.1001.1.00398969.1400.55.4.9.0 (In Persian)
[48] Tehrani, R., Seraj, M., Bastani, A., Evaluation of the effect of the baking sector systemic risk on the macroeconomic performance of Iran, Journal of Financial Research 2019;3(1):297-319. Doi: 10.22059/FRJ.2019.276790.1006830 (In Persian)
[49] Teymoori, B., Emamverdi, Gh., Esmaeelnia, K., Nasabiyan, Sh., investigating the contagion of unex-pected shocks in Iran's financial markets with the DFGM approach, financial engineering and portfolio managemen,1399;11(43): 30-56. Doi: 20.1001.1.22519165.1399.11.43.2.5 (In Persian)
[50] Tsallis, c., Possible generalization of Bolzmann-Gbbs statistics, Journal of statistical physics, 1988; 52: 479-487. Doi: 10.1007/BF01016429
[51] Zanjirdar, M., Moslehi Araghi, M., The impact of changes in uncertainty, unexpected earning of each share and positive or negative forecast of profit per share in different economic condition, Quarterly Journal of Fiscal and Economic Policies, 2016; 13(4): 55-76.