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Jump Dynamics: The Equity Premium and the Risk-Free Rate Puzzles

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Author Info
Aase, Knut K. () (Dept. of Finance and Management Science, Norwegian School of Economics and Business Administration)
Abstract

The paper develops a consumption based equilibrium model, focusing on the risk premium and the risk-free interest rate. We derive testable expressions for these quantities, and confront these with sample estimates for the 20. century. Our framework is a dynamic model in continuous time, allowing for random jumps at random time points, in addition to diffusion uncertainty. Preferences are time separable and additive.

The classical equity premium puzzle and the risk-free rate puzzle are re-examined. We present values for the parameters of the representative agent's utility function for different values of risk premia and interest rates, calibrated to two first moments of the US-data of the last century. Relatively low values for agents' risk aversion are consistent with the model, but positive values of the subjective interest rate seem harder to fit.

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Publisher Info
Paper provided by Department of Finance and Management Science, Norwegian School of Economics and Business Administration in its series Discussion Papers with number 2004/12.

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Length: 28 pages
Date of creation: 21 Oct 2004
Date of revision:
Handle: RePEc:hhs:nhhfms:2004_012

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Postal: NHH, Department of Finance and Management Science, Helleveien 30, N-5045 Bergen, Norway
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Fax: +47 55 95 96 50
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Related research
Keywords: Consumption based CAPM; Equilibrium interest rate; The equity premium puzzle; The risk-free rate puzzle; jump/diffusions;

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Find related papers by JEL classification:
D58 - Microeconomics - - General Equilibrium and Disequilibrium - - - Computable and Other Applied General Equilibrium Models

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Hansen, Lars Peter & Jagannathan, Ravi, 1991. "Implications of Security Market Data for Models of Dynamic Economies," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 225-62, April. [Downloadable!] (restricted)
    Other versions:
  2. Olivier Allais, 2004. "Local Substitution and Habit Persistence: Matching the Moments of the Equity Premium and the Risk-Free Rate," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(2), pages 265-296, April. [Downloadable!] (restricted)
  3. Feldstein, Martin S, 1969. "Mean-Variance Analysis in the Theory of Liquidity Preference and Portfolio Selection," Review of Economic Studies, Blackwell Publishing, vol. 36(105), pages 5-12, January. [Downloadable!] (restricted)
  4. Ellen R. McGrattan & Edward C. Prescott, 2003. "Average Debt and Equity Returns: Puzzling?," American Economic Review, American Economic Association, vol. 93(2), pages 392-397, May. [Downloadable!]
    Other versions:
  5. Rietz, Thomas A., 1988. "The equity risk premium a solution," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 117-131, July. [Downloadable!] (restricted)
  6. Haug, Jorgen, 2001. "Explicit characterizations of financial prices with history-dependent utility," Journal of Mathematical Economics, Elsevier, vol. 36(4), pages 337-356, December. [Downloadable!] (restricted)
  7. 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)
  8. Mehra, Rajnish & Prescott, Edward C., 1988. "The equity risk premium: A solution?," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 133-136, July. [Downloadable!] (restricted)
  9. Salyer, Kevin D., 1998. "Crash states and the equity premium: Solving one puzzle raises another," Journal of Economic Dynamics and Control, Elsevier, vol. 22(6), pages 955-965, June. [Downloadable!] (restricted)
  10. Sydney Ludvigson & Xiaohong Chen, 2004. "Land of Addicts? An Empirical Investigation of Habit-Based Asset Pricing Models," 2004 Meeting Papers 692, Society for Economic Dynamics. [Downloadable!]
  11. Borch, Karl, 1969. "A Note on Uncertainty and Indifference Curves," Review of Economic Studies, Blackwell Publishing, vol. 36(105), pages 1-4, January. [Downloadable!] (restricted)
  12. Sundaresan, Suresh M, 1989. "Intertemporally Dependent Preferences and the Volatility of Consumption and Wealth," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 2(1), pages 73-89. [Downloadable!] (restricted)
  13. Weil, Philippe, 1989. "The equity premium puzzle and the risk-free rate puzzle," Journal of Monetary Economics, Elsevier, vol. 24(3), pages 401-421, November. [Downloadable!] (restricted)
    Other versions:
  14. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November. [Downloadable!] (restricted)
  15. Back, Kerry, 1991. "Asset pricing for general processes," Journal of Mathematical Economics, Elsevier, vol. 20(4), pages 371-395. [Downloadable!] (restricted)
  16. Tobin, James, 1969. "Comment on Borch and Feldstein," Review of Economic Studies, Blackwell Publishing, vol. 36(105), pages 13-14, January. [Downloadable!] (restricted)
  17. Constantinides, George M, 1990. "Habit Formation: A Resolution of the Equity Premium Puzzle," Journal of Political Economy, University of Chicago Press, vol. 98(3), pages 519-43, June. [Downloadable!] (restricted)
  18. Detemple, Jerome B & Zapatero, Fernando, 1991. "Asset Prices in an Exchange Economy with Habit Formation," Econometrica, Econometric Society, vol. 59(6), pages 1633-57, November. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Aase, Knut K., 2004. "The perpetual American put option for jump-diffusions: Implications for equity premiums," Discussion Papers 2004/19, Department of Finance and Management Science, Norwegian School of Economics and Business Administration. [Downloadable!]
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