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Consumption Asset Pricing with Stable Shocks: Exploring a Solution and Its Implications for the Equity Premium Puzzle

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  • Prasad V. Bidarkota and J. Huston McCulloch

Abstract

We study the consumption based asset pricing model due to Lucas (1978). The exogenous endowment sequence is modeled as a linear stochastic process driven by stable shocks in an otherwise standard framework. The Gaussian process emerges as a special case. We derive exact analytical solutions for asset prices and returns, and provide conditions under which these exist. We also study the implications of the model for the equity premium puzzle.

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Paper provided by Society for Computational Economics in its series Computing in Economics and Finance 2001 with number 70.

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Date of creation: 01 Apr 2001
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Handle: RePEc:sce:scecf1:70

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Web page: http://www.econometricsociety.org/conference/SCE2001/SCE2001.html
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Keywords: Asset pricing; Lucas model; equity premium; normal distributions; stable distributions;

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  1. Kocherlakota, N., 1995. "The Equity Premium: It's Still a Puzzle," Working Papers 95-05, University of Iowa, Department of Economics.
  2. Kenneth A. Froot & Maurice Obstfeld, 1989. "Intrinsic Bubbles: The Case of Stock Prices," NBER Working Papers 3091, National Bureau of Economic Research, Inc.
  3. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November.
  4. R. Mehra & E. Prescott, 2010. "The equity premium: a puzzle," Levine's Working Paper Archive 1401, David K. Levine.
  5. Burnside, Craig, 1998. "Solving asset pricing models with Gaussian shocks," Journal of Economic Dynamics and Control, Elsevier, vol. 22(3), pages 329-340, March.
  6. Prasad V. Bidarkota, 2000. "Asymmetries in the Conditional Mean Dynamics of Real GNP: Robust Evidence," The Review of Economics and Statistics, MIT Press, vol. 82(1), pages 153-157, February.
  7. Pok-sang Lam & Stephen G. Cecchetti & Nelson C. Mark, 2000. "Asset Pricing with Distorted Beliefs: Are Equity Returns Too Good to Be True?," American Economic Review, American Economic Association, vol. 90(4), pages 787-805, September.
  8. 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.
  9. Benoit Mandelbrot, 1963. "The Variation of Certain Speculative Prices," The Journal of Business, University of Chicago Press, vol. 36, pages 394.
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