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On The Economic Impact Of Modeling Nonlinearities: The Asset Pricing Example

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BIDARKOTA, PRASAD V.

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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.

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Article provided by Cambridge University Press in its journal Macroeconomic Dynamics.

Volume (Year): 10 (2005)
Issue (Month): 01 (December)
Pages: 56-76
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Handle: RePEc:cup:macdyn:v:10:y:2005:i:01:p:56-76_05

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  2. Bidarkota, Prasad V. & McCulloch, J. Huston, 2003. "Consumption asset pricing with stable shocks--exploring a solution and its implications for mean equity returns," Journal of Economic Dynamics and Control, Elsevier, vol. 27(3), pages 399-421, January. [Downloadable!] (restricted)
  3. Monique Ebell, 2001. "Why are Asset Returns More Volatile during Recessions? A Theoretical Explanation," Working Papers 01.01, Swiss National Bank, Study Center Gerzensee. [Downloadable!]
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  4. Hansen, Bruce E, 1996. "Inference When a Nuisance Parameter Is Not Identified under the Null Hypothesis," Econometrica, Econometric Society, vol. 64(2), pages 413-30, March. [Downloadable!] (restricted)
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  5. Hamilton, James D, 1989. "A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle," Econometrica, Econometric Society, vol. 57(2), pages 357-84, March. [Downloadable!] (restricted)
  6. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March. [Downloadable!] (restricted)
  7. Froot, Kenneth A & Obstfeld, Maurice, 1991. "Intrinsic Bubbles: The Case of Stock Prices," American Economic Review, American Economic Association, vol. 81(5), pages 1189-214, December. [Downloadable!] (restricted)
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  8. Tsionas, Efthymios G., 2003. "Exact solution of asset pricing models with arbitrary shock distributions," Journal of Economic Dynamics and Control, Elsevier, vol. 27(5), pages 843-851, March. [Downloadable!] (restricted)
  9. Tauchen, George & Hussey, Robert, 1991. "Quadrature-Based Methods for Obtaining Approximate Solutions to Nonlinear Asset Pricing Models," Econometrica, Econometric Society, vol. 59(2), pages 371-96, March. [Downloadable!] (restricted)
  10. Kandel, Shmuel & Stambaugh, Robert F, 1990. "Expectations and Volatility of Consumption and Asset Returns," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 3(2), pages 207-32. [Downloadable!] (restricted)
  11. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November. [Downloadable!] (restricted)
  12. Burnside, Craig, 1998. "Solving asset pricing models with Gaussian shocks," Journal of Economic Dynamics and Control, Elsevier, vol. 22(3), pages 329-340, March. [Downloadable!] (restricted)
  13. Narayana R. Kocherlakota, 1996. "The Equity Premium: It's Still a Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(1), pages 42-71, March. [Downloadable!] (restricted)
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  14. Potter, Simon M, 1995. "A Nonlinear Approach to US GNP," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 10(2), pages 109-25, April-Jun. [Downloadable!] (restricted)
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