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A Jump/Diffusion Consumption‐Based Capital Asset Pricing Model and the Equity Premium Puzzle

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  • Knut K. Aase

Abstract

This paper derives the equilibrium excess returns on risky assets in an exchange economy where the underlying exogenous uncertainty is a combination of a pure multidimensional jump process and a diffusion model. We derive closed‐form solutions for the interest rate and the risk premiums on risky assets for a traditional class of separable utility indices. Our analysis demonstrates that when the underlying jumps of the aggregate consumption process are not negligible, then the traditional form of the consumption‐based capital asset princing model need not hold and the asset risk premiums may be larger than predicted by the traditional CCAPM in continuous time, based on pure Itô diffusion processes. Our analysis suggests an explanation for the large estimates of the risk premiums reported in empirical tests of the single‐beta CCAPM.

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  • Knut K. Aase, 1993. "A Jump/Diffusion Consumption‐Based Capital Asset Pricing Model and the Equity Premium Puzzle," Mathematical Finance, Wiley Blackwell, vol. 3(2), pages 65-84, April.
    • Handle: RePEc:bla:mathfi:v:3:y:1993:i:2:p:65-84
    DOI: 10.1111/j.1467-9965.1993.tb00079.x
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    Cited by:

    1. Eric Benhamou & Alexandre Duguet, 2000. "A 2 Dimensional Pde For Discrete Asian Options," Computing in Economics and Finance 2000 33, Society for Computational Economics.
    2. Aase, Knut K., 2004. "Jump Dynamics: The Equity Premium and the Risk-Free Rate Puzzles," Discussion Papers 2004/12, Norwegian School of Economics, Department of Business and Management Science.
    3. Aase, Knut K., 2015. "The equity premium in a production economy; A new perspective involving recursive utility," Discussion Papers 2015/15, Norwegian School of Economics, Department of Business and Management Science.
    4. Benhamou, Eric & Duguet, Alexandre, 2003. "Small dimension PDE for discrete Asian options," Journal of Economic Dynamics and Control, Elsevier, vol. 27(11), pages 2095-2114.
    5. Eric Benhamou, 2002. "Option pricing with Levy Process," Finance 0212006, University Library of Munich, Germany.
    6. Aase, Knut K., 2000. "An equilibrium asset pricing model based on Lévy processes: relations to stochastic volatility, and the survival hypothesis," Insurance: Mathematics and Economics, Elsevier, vol. 27(3), pages 345-363, December.
    7. Aase, Knut K., 2014. "Recursive utility and jump-diffusions," Discussion Papers 2014/9, Norwegian School of Economics, Department of Business and Management Science.
    8. Dieckmann, Stephan & Gallmeyer, Michael, 2005. "The equilibrium allocation of diffusive and jump risks with heterogeneous agents," Journal of Economic Dynamics and Control, Elsevier, vol. 29(9), pages 1547-1576, September.
    9. David Cummins & Christopher Lewis & Richard Phillips, 1999. "Pricing Excess-of-Loss Reinsurance Contracts against Cat as trophic Loss," NBER Chapters, in: The Financing of Catastrophe Risk, pages 93-148, National Bureau of Economic Research, Inc.
    10. Aase, Knut K. & Lillestøl, Jostein, 2015. "Beyond the local mean-variance analysis in continuous time: The problem of non-normality," Discussion Papers 2015/11, Norwegian School of Economics, Department of Business and Management Science.

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