Identification the Periods of Formation and Bursting of Speculative Bubbles in Iranian Stock Market Using Quantitative Models

Document Type : Research Paper


Department of Management Babol Branch, Islamic Azad University, Babol, Iran



The purpose of this study is to investigate and identify the periods of formation and bursting of speculative bubbles in Iran's capital market by creating a state space model and two-mode switching regime (mode 1 is bubble growth and burst stage and mode 2 is the time of bubble loss) during the period from April 2011 to March 2018. The Oxmetrics 7 software is used to investigate the existence of multiple bubbles and research objective.
The results of the study of the state space switches confirm the bubble of the capital market in Iran during four periods in the research domain. The life span of the first speculative bubble is 2 months from October to November 2011, the second is 8 months from March to October 2013, the third is 3 months from December 2015 to February 2016, and the fourth period of bubble is 5 months from August to December 2017. Therefore, the result of the research stipulates that the stock index of the Iranian capital market in the realm of research time period has had 18 months of bubbles and has spent 66 months in balance.


Main Subjects

[1]     Mohammadi, T., Danesh Jafari, D., and Nasr Esfahani, M., Modeling Speculative Bubbles in Tehran Stock Exchange Considering Social and Psychological Dynamics. Journal of Economics and Modeling, 2017. 8(30), P. 95-122.
[2]     Shariaat Panahi, M. and H. Roghanian, H., A Model for Identifying Speculative Bubbles in Tehran Stock Exchange. Financial Knowledge of Securities Analysis, 2011, 11, P. 145-161.
[3]     Shiller, R.J., Do Stock Prices Move Too Much to be Justified by Subsequent Changesin Dividends? American Economic Review, 1981, 71, P. 421-436. Doi: 10.3386/w0456.
[4]     Mankiw, N.G., Romer, D. and Shapiro, M.D., An unbiased reexamination of stock market volatility, Journal of Finance, 1985, 40(3), P. 677–687, Doi:10.2307/2327790
[5]    Dezhbakhsh, H. and Demirguc-Kunt, A., On the Presence of Speculative Bubbles in Stock Prices. Journal of Financial and Quantitative Analysis, 1990, 25, P. 101-112. Doi:10.2307/2330890.
[6]  Wu ,Y., Are There Rational Bubbles in Foreign Exchange Markets? Some Direct Tests, Journal of International Money and Finance, 1995, 14, P. 27-46. Doi: 10.1016/0261-5606(94)00002-I
[7]    Diba, B. and Grossman, H., The Theory of Rational Bubbles in Stock Prices, The Economic Journal, 1988, 98(392), P. 746-54, Doi: 10.2307/2233912 .
[8]     Evans, G.W., Pitfalls in testing for explosive bubbles in asset prices. American Economic Review, 1991, 81, P. 922-930,.
[9]   Hu, Y. and Oxley, L., Bubble contagion: Evidence from Japan’s asset price bubble of the 1980-90s, Journal of The Japanese and International Economies, 2018, Doi: 10.1016/j.jjie.2018.09.002.
[10]   Tarliea ,M B., Sakoulisb, G., Henrikssona, R., Stock market bubbles and anti-bubbles,  International Review of Financial Analysis, 2018, Doi: 10.1016/j.irfa.2018.07.012.
[11]  Ali, S.,  Yazdi, H., Impact of Speculative Bubble on Stock Returns in Companies Listed on Tehran Stock Exchange, Advances in mathematical finance & applications, 2018, 3 (4), 115-127, Doi:10.22034/AM FA.2019.553492.1089.
[12]  Hu, Y., Oxley, L., Exuberance in British share prices during the Railway Mania of  the 1840s: Evidence from the Phillips, Shi and Yu test. Working Papers in Economics 17/09, University of Waikato, 2017,
[13]   Hu, Y. and Oxley, L., Are  there  Bubbles  in  Exchange  Rates?  Some New Evidence from G10 and Emerging Markets Countries (No. 16/05), Economic Modelling, 2016, Doi:10.1016/j.econmod.2017.02 .022
[14]  Arab, H., Raeesian, M., Shamsi, F., and Eshghi Araghi, M., The impact of price bubble and loss aversion of shareholders on non- Fundamental value of companies listed on TSE. Academic Journal of Research in Business and Accounting, 2016, 4(5), P. 30-39.
[15]   Balcilar, M., Gupta, R., Jooste, C., and Wohar, M.E., Periodically collapsing bubbles in the South African stock market. Research in International Business and Finance, 2016, 38, P. 191-201.Doi: 10.1 016/j.ribaf.2 016.04.010.
[16]   Nneji, O., Brooks, C., and Ward, C.W.R., Speculative Bubble Spillovers Across Regional Housing Markets. 2012, P. 35.Doi: 10.2139/ssrn.1992587.
[17]   Kothari, S.P. and Lewellen, Jonathan W. and Warner, Jerold B., The Behavior of Aggregate Corporate Investment, 2015, 4, P. 14-18, Doi:10.2139/ssrn.2511268.
[18]   Nasr, N., Farhadi Sartangi, M.,  Madahi, Z., Fuzzy Random Walk Technique to Forecasting Volatility of Iran Stock Exchange Index, Advances in mathematical finance & applications, 2019, 4 (1), P, 15-30, Doi:10.2203 4/AMFA.2019.583911.1172  .
[19]  Jokar, H., Shamsaddini, K., Daneshi, V., Investigating the Effect of Investors' Behavior and Management on the Stock Returns : Evidence from Iran, Advances in mathematical finance & applications, 2018, 3 (3), P. 41-52. Doi: 10.22034/AMFA.2018.544948
[20]   Hall, S.G., Psaradakis, Z., and Sola, M., Detecting Periodically Collapsing Bubbles: A Markov-Switching Unit Root Test. Journal of Applied Econometrics, 1999, 14(2), P. 143-154. Doi:10.1002/ (SICI)1099-1255 (199903/04)14:23.0.CO;2-X.
[21]   Driffill, J. and Sola, M., Intrinsic bubbles and regime-switching. Journal of Monetary Economics, 1998. 42(2), P. 357-373.Doi: 10.1016/S0304-3932(98)00021-X.
[22]   Zhao, Y., Chang, H.-L., Su, C.-W., and Nian, R., Gold bubbles: When are they most likely to occur? Japan and the World Economy, 2015, 34, P. 17-23.Doi: 10.1016/j.japwor.2015.03.001.
[23]   Chen, H., P. De, Y.J. Hu, and B.-H. Hwang, 2012, Customers as advisors: The role of social media in financial markets. SSRN Electronic Journal, Doi: 10.2139/ssrn.2024086.
[24]   Kim, C.J. and C.R. Nelson, State-space Models with Regime Switching: Classical and Gibbs-sampling Approaches with Applications. 1999: MIT Press,
[25]   Al-Anaswah, N. and Wilfling, B., Identification of speculative bubbles using state-space models with Markov-switching. Journal of Banking & Finance, 2011, 35(5), P. 1073-1086. Doi: 10 .1016/j.jbankfin.201 0.09.021.
[26] Salehi, A., Izadikhah, M., A novel method to extend SAW for decision-making problems with interval data, Decision Science Letters, 2014, 3 (2), P. 225-236
[27]   Salehi Sarbizhan, M., Raeissi Ardali, G., and Shetab Boushehri, N., Iran's Economic Downturns and Growth Points Using the Markov Switching Model. Economical Model, 2013. 7(3), P. 67-83 https://www.civilica. com/Paper- MRMEA02-MRMEA02_473.html.
[28]   Campbell, J.Y. and Shiller, R.J., The Dividend-Price Ratio and Expectations of Future Dividends and Discount Factors. The Review of Financial Studies, 1988, 1(3), P. 195-228.  Doi: 10.1093/ rfs/1.3.195
[29]   Diba, B.T. and Grossman, H.I., Explosive Rational Bubbles in Stock Prices? The American Economic Review, 1988, 78(3), P. 520-530.  Doi: 10.3386/w1779.
[30]   Yan, G.C.C., A Financial Engineering Approach to Identify Stock Market Bubble. Systems Engineering Procedia, 2011, 2, P. 153-162.Doi: 10.1016/j.sepro.2011.10.018.