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ON THE ECONOMIC IMPACT OF MODELING NONLINEARITIES: THE ASSET PRICING EXAMPLE

Published online by Cambridge University Press:  14 December 2005

PRASAD V. BIDARKOTA
PRASAD V. BIDARKOTA
Affiliation:
Florida International University
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Abstract

We investigate the economic importance of modeling nonlinearities in the dynamics of exogenous processes on the implied moments of endogenous variables in the context of the consumption-based asset pricing model. For this purpose, we model the endowment process alternatively as a linear autoregression and as a nonlinear threshold autoregression. The asset pricing model with nonlinear endowment is solved using quadrature techniques. A comparison of the moments of the model-implied rates of return in the two cases suggests that the economic impact of modeling nonlinearities is small.

Keywords

NonlinearitiesAsset PricingNumerical Solutions
Type
ARTICLES
Information
Macroeconomic Dynamics , Volume 10 , Issue 1 , February 2006 , pp. 56 - 76
Copyright
© 2006 Cambridge University Press

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References

Bidarkota P.V. 2000 Asymmetries in the conditional mean dynamics of real GNP: robust evidence. The Review of Economics and Statistics 82, 153– 157.Google Scholar
Bidarkota P.V. and J.H. 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, 399– 421.Google Scholar
Bonomo M. and R. Garcia 1994 Can a well-fitted equilibrium asset-pricing model produce mean reversion? Journal of Applied Econometrics 9, 19– 29.Google Scholar
Burnside C. 1998 Solving asset pricing models with Gaussian shocks. Journal of Economic Dynamics and Control 22, 329– 340.Google Scholar
Campbell J.Y. and J.H. Cochrane 1999 By force of habit: a consumption-based explanation of aggregate stock market behavior. Journal of Political Economy 107, 205– 251.Google Scholar
Cecchetti S.G., Lam P-S., and N.C. Mark 1993 The equity premium and the risk-free rate. Journal of Monetary Economics 31, 21– 45.Google Scholar
Ebell M.C. 2001 Why Are Asset Returns More Volatile During Recessions? A Theoretical Explanation. Unpublished manuscript.Google Scholar
Froot K.A. and M. Obstfeld 1991 Intrinsic bubbles: the case of stock prices. The American Economic Review 81, 1189– 1214.Google Scholar
Hamilton J.D. 1989 A new approach to the economic analysis of nonstationary time series and the business cycle. Econometrica 57, 357– 384.Google Scholar
Hansen B.E. 1996 Inference when a nuisance parameter is not identified under the null hypothesis. Econometrica 64, 413– 430.Google Scholar
Kandel S. and R.F. Stambaugh 1990 Expectations and volatility of consumption and asset returns. The Review of Financial Studies 3, 207– 232.Google Scholar
Kocherlakota N. 1996 The equity premium: it's still a puzzle. Journal of Economic Literature 34, 42– 71.Google Scholar
Lee T-H., H. White, and C.W.J. Granger 1993 Testing for neglected nonlinearity in time series models: a comparison of neural network methods and alternative tests. Journal of Econometrics 56, 269– 290.Google Scholar
Lucas R.E. Jr. 1978 Asset prices in an exchange economy. Econometrica 46, 1429– 1445.Google Scholar
Mehra R. and E.C. Prescott 1985 The equity premium: a puzzle. Journal of Monetary Economics 15, 145– 161.Google Scholar
Neftci S.N. 1984 Are economic time series asymmetric over the business cycle? Journal of Political Economy 92, 307– 328.Google Scholar
Potter S.M. 1995 A non-linear approach to U.S. GNP. Journal of Applied Econometrics 10, 109– 125.Google Scholar
Ramsey J.B. 1996 If non-linear models cannot forecast, what use are they? Studies in Non-Linear Dynamics and Econometrics 1, 65– 86.Google Scholar
Stinchcombe M. and H. White 1989 Universal approximation using feedforward networks with non-sigmoid hidden layer activation functions, Proceedings of the International Joint Conference on Neural Networks, San Diego, vol. 1, pp. 612– 617. New York: IEEE Press.
Tauchen G. 1986 Finite state Markov chain approximations to univariate and vector autoregressions. Economics Letters 20, 177– 181.Google Scholar
Tauchen G. and R. Hussey 1991 Quadrature-based methods for obtaining approximate solutions to nonlinear asset pricing models. Econometrica 59, 371– 396.Google Scholar
Tong H. and K.S. Lim 1980 Threshold autoregression, limit cycles and cyclical data. Journal of the Royal Statistical Society (series B) 42, 245– 292.Google Scholar
Tsionas E.G. 2003 Exact solutions of asset pricing models with arbitrary shock distributions. Journal of Economic Dynamics and Control 27, 843– 851.Google Scholar