Applying the GARCH and COPULA Models to Examine the Relationship Between Trading Volume and the Value of Trading with the Bubble Pricing

Document Type : Research Paper

Authors

Department of Accounting , Kashan Branch , Islamic Azad University , Kashan , Iran

10.22034/amfa.2019.581338.1152

Abstract

Given the importance of the securities market in each country's economy and the adverse effects of the price bubble on the irrational fluctuations of the stock market, it is clear that it must be prevented; therefore, with reference to the ambiguity of the factors causing the price bubble, research is underway. Investigating the relationship between the volume of transactions and the value of transactions with the price bubble in different industries of the Stock Exchange during the years 2006 to 2016 is a step towards recognizing this phenomenon.To investigate these communications, we used DCC-GJR-GARCH, diagonal BEKK and COPULA models. The results of the study of the relationship between the volume of exchanges and the value of exchanges with price bubbles suggest that there is a negative and complete correlation between them. In relation to the study of the relationship between price bubbles and research variables, we found that oil prices have a reverse and significant relationship with bubble prices. Other variables are not meaningful relationships with price bubbles. Also, in the study between variables of research with volume of transactions, it was determined that changes in tax volume and oil price variables have a reverse and significant relationship with the volume of transactions and the value of transactions with the volume of transactions has a direct and significant relationship.

Keywords


[1] Sajjadi, R and Nowruzi, M.Sc., Investigation of Volume Relationships in Iranian Market Using Capsule Functions in Critical Conditions, 2012
 
[2] Nelson, R. B., An Introduction to Copulas (New York: Springer).1999, Doi:10.1007/0-387-28678-0
 
[3] Azadi, M., Izadikhah, M., Ramezani, F., Hussain, F.K., A mixed ideal and anti-ideal DEA model: an application to evaluate cloud service providers, IMA Journal of Management Mathematics, 2020, 31 (2), P. 233-256, Doi: 10.1093/imaman/dpz012
 
[4] Ranjbar, M. H., Sefidbakht, E., Yarahmad zadeh, M., Advanced Financial Management (with special emphasis on particular cases) Volume 1 Terme Publishing, 2017
 
[5] Heidari, H., Shirakvand, S., Abolfazli, S.R, Investigating the Uncertainty Synchronous Effects of Oil Prices and Gold Prices on the Tehran Stock Exchange Index: Based on the Three-Variable Model of GARCH, Journal of Financial Engineering and Management of Securities, 2015, 6(22), P. 61-80.
 
[6] Madelat, k., Investigating the existence of price bubbles in Tehran Stock Exchange in recent years, Tehran, Economic Studies Collection of the Central Bank of the Islamic Republic of Iran, 2002
 
[7] Babaee Samiromi, M. R., Investigating the Risk Inflation Bubbles Case Study. Master thesis of Mazandaran University, Faculty of Science, Iran (2005). Economic and administrative
 
[8] MirShamsi, A., Rational Bubbles in Tehran Stock Exchange, Master Thesis, Shahid Beheshti University, Faculty of Economic Sciences, 2008
 
[9] Kiani, M., Investigating the relationship between free float shares and price bubbles in listed companies in Tehran Stock Exchange, Thesis, Faculty of Management and Economics, Islamic Azad University, Science and Research Branch, 2009.
 
[10] Tehrani, R., Namaki, A., Hedayatifar, L., Interrelationship of Tehran Stock Exchange Indices by Multifractal Analysis of Trendless Correlation (MF-DXA), Summer 2012, 14(1), P. 55-68, Doi: 10.22059/JFR.2012.36635
 
[11] Santoni,.J.G., The Great Bull Market 1924-29 and 1982-87: Speculative Bubbles or Economic Fundamentals?,  Federal Reserve Bank Of ST. Louis, 1987, Doi: 10.20955/r.69.16-30.bbg 
 
[12] Hamilton J. D., and Whiteman Charles. H., The Observable Implications of Self- Fulfilling ExpectationsJournal of Monetary Economics, 1985, 16, P. 353-373, Doi: 10.1016/0304-3932(85)90041-8
 
[13] Izadikhah, M. Financial Assessment of Banks and Financial Institutes in Stock Exchange by Means of an Enhanced Two stage DEA ModelAdvances in Mathematical Finance and Applications, 2021, 6(2), P. 207-232. Doi: 10.22034/amfa.2020.1910507.1491
 
[14] Jokar, H., Shamsaddini, K., Daneshi, V., Investigating the Effect of Investors' Behavior and Management on the Stock Returns: Evidence from IranAdvances in Mathematical Finance and Applications, 2018, 3(3), P. 41-52. Doi: 10.22034/amfa.2018.544948
 
[15] Hsuton Ku, Y. H., & Wang, JE. Stimating portfolio value at risk via dynamic conditional correlation. 2008.  Doi: 10.1080/13504850600706958
 
[16] Zhou.W.X., Multifractal detrended cross-correlation analysis for two nonstationary signals, Phys.Rev.E 2008; 77: 066211. Doi: 10.1103/PhysRevE.77.066211
 
[17] Bollersleva, T. and Wooldridgeb, J., Quasi-maximum Likelihood Estimation and Inference in Dynamic Models with Time-varying Covariances, Econometric, 1992, Doi: 10.1080/07474939208800229
 
[18] Engle, R.F., & K., Sheppard, Theoretical and Empirical Properties of Dynamic Conditional Correlation Multivariate GARCH. Mimeo, UCSD. 2001, Doi: 10.3386/w8554
 
[16] Shahiki Tash, M.N., Mirbagheri Jam, M, Measuring the Risk of Focusing the Activities of the Insurance Industry in Iran, 2015, 299(4), P. 85-109
 
[19] Embrechts, P., Kuppelberg, C. & Mikosch. T., Modeling Extremely Events for Insurance and Finance, Springer-Verlag, 2001, Doi: 10.1002/jae.863
 
[20] Parsa, B., Sarraf, F., Financial Statement Comparability and the Expected Crash Risk of Stock PricesAdvances in Mathematical Finance and Applications, 2018, 3(3), P. 77-93. Doi: 10.22034/amfa.2018.544951
Volume 7, Issue 2
April 2022
Pages 423-435
  • Receive Date: 17 December 2018
  • Revise Date: 27 October 2020
  • Accept Date: 16 July 2019
  • First Publish Date: 05 January 2021