Modeling Equity Premium Puzzle by Using Fuzzy Logic: A Number of Evidences from Iran

Subject Areas : Labor and Demographic Economics

Alireza  Erfani ¹ (دانشیار اقتصاد دانشگاه سمنان)
Solmaz  Safari ² (دانشجوی دکتری علوم اقتصادی دانشگاه سمنان)

Received: 2017-01-08 Accepted : 2017-01-08 Published : 2016-10-22

Keywords: Fuzzy, JEL Classification: C02, C10, G12. Keywords: Bivariate GARCH, Equity Premium, Habits Model,

Abstract :

This paper is intended to study the equity premium puzzle in basis of Consumption Capital Asset Pricing model in the period 1371-1393 in Iran seasonally. The results confirm the puzzle in the period. Consequently the paper introduces and proposes an experimental and theoretical model to explain equity premium through Consumption Capital Asset Pricing model in habits formation model and combination of financial and economy regimes by Fuzzy Logic. Results derived from proposed model showed that equity premium and risk aversion have a counter- cyclical relation with economic regimes; so that in recession regime and reducing market,  consumption news increase relative risk aversion and equity premium. In this regime, the individual prefers to adventure only in lieu of high level of compensation and he or she also intends to allocate the funds into more certain fields such as bank deposits. While consumption news in the period of boom in economy and increasing market, decrease risk aversion and equity premium. 

References:

-      ابونوری، اسمعیل، شهریار، بهنام (1392). مدلسازی ناخطی شکست­های ساختاری تابع تقاضای پول در ایران با نگرش فازی. فصلنامه پژوهش‌های اقتصادی (رشد و توسعه پایدار)، 4: 78-55.

-      ابونوری، اسمعیل، شهریار، بهنام (1393). مدلسازی انتقاد لوکاس با رویکرد مجموعه­های فازی، تحقیقات اقتصادی، 49(2): 265-229.

-      بزازان، فاطمه، شیرین­بخش ماسوله، شمس‌الله صفری، سولماز (1392). بررسی اثرات روزهای هفته بر بازده سهام رویکرد رگسیون گارچ فازی بوت­استرپ. دانش مالی تحلیل اوراق بهادار، 13: 110-99.

-      تهرانی، رضا، گودرزی، مصطفی، مرادی، هادی (1387). ریسک و بازده: آزمون مدل CCAPM در مقایسه با مدل CAPM در بورس اوراق بهادار تهران. تحقیقات اقتصادی، 43(4): 61-82.

-      غضنفری، مهدی، رضایی، محمود (1389). مقدمه­ای بر نظریه مجموعه­های فازی. تهران، دانشگاه علم و صنعت ایران.

-      کشاورز حداد، غلامرضا، اصفهانی، محمدرضا (1392). معمای صرف سهام در بورس اوراق بهادار تهران در چارچوب آزمون­های تسلط تصادفی. فصلنامه پژوهش‌های اقتصادی ایران، 56(18):40-1.

-      محمدزاده، اعظم، شهیکی تاش، محمد نبی، روشن، رضا (1394). مقایسه مدل‌های قیمت گذاری دارایی‌های سرمایه‌ای مبتنی بر مصرف (CCAPM) و مبتنی بر مخارج مصرفی مسکن (HCCAPM). فصلنامه نظریه‌های کاربردی اقتصاد، 2 (3): 49-72.

-       Abounoori, E. and B, Shahriyar. (2014). A new nonlinear specification of structural breaks for money demand in Iran. Iranian Journal of Economic Studies, 3(1): 1-19.

-       Bacon, D.W, and Watts, D.G. (1971). Estimating the transition between two intersecting staraight lines. Biometrika, 58: 34-525

-       Bae, J., Kim, C-J.,and C.R, Nelson. (2007). Why are stock returns and volatility negatively correlated. Journal of Empirical Finance, 14: 41-58.

-       Brandt, M. W., and Wang, K. Q. (2003). Time-varying risk aversion and unexpected inflation. Journal of Monetary Economics, 50 (7): 1457–1498.

-       Campbell, J.Y. (1996). Consumption and the stock market: Interpreting international experience. Swedish Economic Policy Review, 3: 251-299.

-       Campbell, J.Y., and Cochrane J.H. )1999(. By force of habit: A consumption-based explanation of aggregate stock market behavior. Journal of Political Economy, 107(2): 205–251.

-       Campbell, J.Y. (2003). Consumption-based asset pricing. Handbook of the Economics of Finance, George Constantinides, Milton Harris, and Rene Stulz eds, North-Holland, Amsterdam, 1B, 803-887.

-       Chan, K.S. and Tong, H. (1986). On estimating thresholds in autoregressive models. Journal of Time Series Analysis, 7: 179–90.

-       Constantinides, G.M., Donaldson, J.B., and Mehra, R. (2002). Junior Can’t Borrow: A new perspective on the equity premium puzzle.  Quarterly Journal of Economics, 117(1): 269–296.

-       Donadelli, M., and Prosperi, L. (2012). The equity premium puzzle: Pitfalls in estimating the coefficient of relative risk aversion. Journal of Applied Finance & Banking, 2(2): 177-213.

-       Donaldson, J. B., and Mehra, R. (1984). Comparative dynamics of an equilibrium intertemporal asset pricing model. Review of Economic Studies, 51: 491–508.

-       Epstein, L. G., and Zin, S. E. (1991). Substitution, risk aversion, and the temporal behavior of consumption and asset returns: An empirical analysis. Journal of Political Economy, 99: 263–286.

-       Erfani, A., and Safari, S. (2014). Estimation of seigniorage laffer curve in IRAN: A Fuzzy C-Menans Clustering Framework. Jornal of Money and Economy, 9(1): 93-115. 

-       Giles, D., and Stroomer, C.(2004). Identifying the cycle of a macroeconomic time-series using fuzzy filtering, University of Victoria, Working Paper.

-       Giovanis, E. (2009). Bootstrapping fuzzy-garch regressions on the day of the week effect in stock returns: Applications in MATLAB. MPRA, Working Paper.

-       Giovanis, E. (2010). Proposal of additional fuzzy membership functions in smoothing transition autoregressive models. World Academy of Science, Engineering and Technology, 4:14-22.

-       Gordon, S., and St-Amour, P. (2000). A preference regime model of bull and bear markets. American Economic Review, 90(4) : 1019–1033.

-       Granger, C.W.J., and Ter¨asvirta, T. (1993). Modelling nonlinear economic relationships, Oxford: Oxford University Press.

-       Mehra, R. (2003). The equity premium: Why is it a puzzle? Financial Analysts Journal, 59(1): 54-69.

-       Mehra, R., and Prescott, E. C. (1985). The equity premium: a puzzle. Journal of Monetary Economics, 15(2): 145-161.

-       Nuri E, S., and Mirakhor, A. (2010). The equity premium puzzle, ambiguity aversion, and institutional quality: Implications for Islamic Finance. Journal of Islamic Economics, Banking and 38 Finance. 6(1).

-       Piazzesi, M., Schneider, M., and Tuzel, S. (2007). Housing, consumption and asset prices. Journal of Financial Economics, 83: 531–569.

-       Takagi, T. and Sugeno M. (1985). Fuzzy identification of systems and its application to modelling and control. IEEE Transactions on Systems, Man and Cybernetics, 15: 116-132.

-       Terasvirta, T. (1994). Specification, estimation, and evaluation of smooth transition autoregressive models. Journal of the American Statistical Association, 89: 18-208.

-       Tong, H., (1978). On a threshold model, in C.H. Chen (ed.). Pattern Recognition and Signal Processing, Amsterdam: Sijthoff & Noordhoff, 101–41.

-       Tong, H., and Lim, K.S. (1980). Threshold autoregressions, limit cycles, and data,. Journal of the Royal Statistical Society B, 42: 245–92 (with discussion).

-       Weil, P., (1989). The Equity Premium Puzzle and the Risk-Free Rate Puzzle. Journal of Monetary Economics, 24(2): 401-421.

-       Xie, Y., Athanasios, A., and Florackis,  C. (2014). Disappointment aversion and the equity premium puzzle: new international evidence. The European Journal of Finance,1-15.

-       Zadeh, L. A.(1968). Fuzzy algorithms. Information and Control, 12, 94-102.

-       Zadeh, L. A. (1965). Fuzzy Sets. Information and Control, 8(3), 338-353.