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Three Solutions to the Pricing Kernel Puzzle

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  • Thorsten Hens
  • Christian Reichlin

Abstract

The pricing kernel is an important link between economics and finance. In standard models of financial economics, it is proportional to the aggregate marginal utility in the economy. We first show that none of the three standard assumptions (completeness, risk aversion, and correct beliefs) is needed for the pricing kernel to be generally decreasing. If at least one of the three assumptions is violated, the pricing kernel can have increasing parts. We explain the economic principles that lead to an increasing part in the pricing kernel and compare the resulting pricing kernels with the empirical pricing kernel estimated in Jackwerth (2000, Rev. Financ. Stud., 13, 433--451). Copyright 2013, Oxford University Press.

Suggested Citation

  • Thorsten Hens & Christian Reichlin, 2013. "Three Solutions to the Pricing Kernel Puzzle," Review of Finance, European Finance Association, vol. 17(3), pages 1065-1098.
    • Handle: RePEc:oup:revfin:v:17:y:2013:i:3:p:1065-1098
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    File URL: http://hdl.handle.net/10.1093/rof/rfs008
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    Citations

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    Cited by:

    1. Bernard, Carole & Chen, Jit Seng & Vanduffel, Steven, 2015. "Rationalizing investors’ choices," Journal of Mathematical Economics, Elsevier, vol. 59(C), pages 10-23.
    2. Hu, Wei & Zheng, Zhenlong, 2020. "Expectile CAPM," Economic Modelling, Elsevier, vol. 88(C), pages 386-397.
    3. Kiesel, Rüdiger & Rahe, Florentin, 2017. "Option pricing under time-varying risk-aversion with applications to risk forecasting," Journal of Banking & Finance, Elsevier, vol. 76(C), pages 120-138.
    4. Xinyu WU & Senchun REN & Hailin ZHOU, 2017. "Empirical Pricing Kernels: Evidence from the Hong Kong Stock Market," ECONOMIC COMPUTATION AND ECONOMIC CYBERNETICS STUDIES AND RESEARCH, Faculty of Economic Cybernetics, Statistics and Informatics, vol. 51(4), pages 263-278.
    5. Maik Dierkes & Jan Krupski & Sebastian Schroen & Philipp Sibbertsen, 2024. "Volatility-dependent probability weighting and the dynamics of the pricing kernel puzzle," Review of Derivatives Research, Springer, vol. 27(1), pages 1-35, April.
    6. Dillschneider, Yannick & Maurer, Raimond, 2019. "Functional Ross recovery: Theoretical results and empirical tests," Journal of Economic Dynamics and Control, Elsevier, vol. 108(C).
    7. Thorsten Hens & Sabine Elmiger, 2019. "Economic Foundations for Finance," Springer Texts in Business and Economics, Springer, number 978-3-030-05427-4, December.
    8. Horatio Cuesdeanu & Jens Carsten Jackwerth, 2018. "The pricing kernel puzzle: survey and outlook," Annals of Finance, Springer, vol. 14(3), pages 289-329, August.
    9. Puhl, Martin & Savor, Pavel & Wilson, Mungo, 2024. "Uncertainty premia for small and large risks," Journal of Banking & Finance, Elsevier, vol. 167(C).
    10. Tim J. Boonen & Fangda Liu & Ruodu Wang, 2021. "Competitive equilibria in a comonotone market," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(4), pages 1217-1255, November.

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