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INTRINSIC BUBBLES AND FAT TAILS IN STOCK PRICES: A NOTE

Published online by Cambridge University Press:  20 March 2007

PRASAD V. BIDARKOTA
Affiliation:
Florida International University
BRICE V. DUPOYET
Affiliation:
Florida International University

Abstract

We study the constant discount rate present value model for stock pricing in a stochastic setting where the exogenous dividend stream is modeled as a random walk with innovations drawn from the family of stable distributions. We derive an exact analytical solution for the fundamental stock price. We evaluate the ability of the model fundamentals and the dividends-driven intrinsic bubbles to explain the observed variation in annual U.S. stock prices. We compare results obtained in this setting with those from the traditional model where all stochastic processes are driven by Gaussian shocks.

Type
NOTES
Copyright
© 2007 Cambridge University Press

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References

Ackert Lucy F. and William C. Hunter 1999 Intrinsic bubbles: The case of stock prices: Comment. The American Economic review 89 (5), 13721376.Google Scholar
Bidarkota Prasad V. 2000 Asymmetries in the conditional mean dynamics of real GNP: robust evidence. The Review of Economics and Statistics 82 (1), 153157.Google Scholar
Bidarkota Prasad V. and Brice V. Dupoyet 2006 The impact of fat tails on equilibrium rates of return and term premia. Forthcoming in the Journal of Economic Dynamics and Control.Google Scholar
Bidarkota Prasad V. and J. Huston McCulloch 2003 Consumption asset pricing with stable shocks: exploring a solution and its implications for mean equity returns. Journal of Economic Dynamics and Control 27 (3), 399421.Google Scholar
Blanchard Olivier J. 1979 Speculative bubbles, crashes and rational expectations. Economics Letters 3, 387389.Google Scholar
Brooks Chris and Apostolos Katsaris 2005 A three-regime model of speculative behaviour: modelling the evolution of bubbles in the S&P 500 composite index. Economic Journal 115, 767797.Google Scholar
Driffill John and Martin Sola 1998 Intrinsic bubbles and regime-switching. Journal of Monetary Economics 42, 357373.Google Scholar
Evans George W. 1991 Pitfalls in testing for explosive bubbles in asset prices. American Economic Review 81, 922930.Google Scholar
Froot Kenneth A. and Maurice Obstfeld 1991 Intrinsic bubbles: the case of stock prices. The American Economic Review 81 (5), 11891214.Google Scholar
Geweke John 2001 A note on some limitations of CRRA utility. Economics Letters 71, 341345.Google Scholar
Hall Robert E. 2001 The stock market and capital accumulation. The American Economic Review 91 (5), 11851202.Google Scholar
Hamilton James D. 1986 On testing for self-fulfilling speculative price bubbles. International Economic Review 27 (3), 545552.Google Scholar
Hamilton James D. 1989 A new approach to the economic analysis of nonstationary time series and the business cycle. Econometrica 57 (2), 357384.Google Scholar
Kamihigashi Takashi 1998 Uniqueness of asset prices in an exchange economy with unbounded utility. Economic Theory 12 (1), 103122.Google Scholar
LeRoy Stephen F. and Richard D. Porter 1981 The present value relation: tests based on implied variance bounds. Econometrica 49, 555574.Google Scholar
Lucas Jr., Robert E. 1978 Asset prices in an exchange economy. Econometrica 46, 14291445.Google Scholar
Lux, Thomas and Didier Sornette 2002 On rational bubbles and fat tails. Journal of Money, Credit and Banking 34, 589610.Google Scholar
Ma Yue and Angelos Kanas 2004 Intrinsic bubbles revisited: evidence from nonlinear cointegration and forecasting. Journal of Forecasting 23, 237250.Google Scholar
Mandelbrot Benoit 1963 The variation of certain speculative prices. Journal of Business 36, 394419.Google Scholar
McCulloch J. Huston 1996 Financial applications of stable distributions. In G.S. Maddala and C.R. Rao (eds.), Handbook of Statistics 14, Amsterdam, NL: Elsevier Science Publishing Company. pp. 393425.
Montrucchio Luigi and Fabio Privileggi 2001 On fragility of bubbles in equilibrium asset pricing models of Lucas-type. Journal of Economic Theory 101, 158188.Google Scholar
Shiller Robert J. 1981 Do stock prices move too much to be justified by subsequent changes in dividends? American Economic Review 71, 421436.Google Scholar
Shiller Robert J. 1989 Market Volatility. Cambridge, MA: MIT Press.