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Economic Implications of Nonlinear Pricing Kernels

Author

Listed:
  • Caio Almeida

    (FGV/EPGE–Escola Brasileira de Economia e Finanças, Rio de Janeiro, Brazil)

  • René Garcia

    (EDHEC Business School, Nice 06202, France; Département de Sciences Économiques, CIREQ, and CIRANO, Université de Montréal, Montréal, Québec H3C 3J7, Canada)

Abstract

Based on a family of discrepancy functions, we derive nonparametric stochastic discount factor bounds that naturally generalize variance, entropy, and higher-moment bounds. These bounds are especially useful to identify how parameters affect pricing kernel dispersion in asset pricing models. In particular, they allow us to distinguish between models where dispersion comes mainly from skewness from models where kurtosis is the primary source of dispersion. We analyze the admissibility of disaster, disappointment aversion, and long-run risk models with respect to these bounds.

Suggested Citation

  • Caio Almeida & René Garcia, 2017. "Economic Implications of Nonlinear Pricing Kernels," Management Science, INFORMS, vol. 63(10), pages 3361-3380, October.
    • Handle: RePEc:inm:ormnsc:v:63:y:2017:i:10:p:3361-3380
    DOI: 10.1287/mnsc.2016.2498
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    3. Juzhi Zhang & Suresh P. Sethi & Tsan‐Ming Choi & T. C. E. Cheng, 2020. "Supply Chains Involving a Mean‐Variance‐Skewness‐Kurtosis Newsvendor: Analysis and Coordination," Production and Operations Management, Production and Operations Management Society, vol. 29(6), pages 1397-1430, June.
    4. Antoine, Bertille & Dovonon, Prosper, 2021. "Robust estimation with exponentially tilted Hellinger distance," Journal of Econometrics, Elsevier, vol. 224(2), pages 330-344.
    5. Milad Nozari, 2021. "Information content of the risk-free rate for the pricing kernel bound," Journal of Asset Management, Palgrave Macmillan, vol. 22(4), pages 267-276, July.
    6. Almeida, Caio & Freire, Gustavo, 2022. "Pricing of index options in incomplete markets," Journal of Financial Economics, Elsevier, vol. 144(1), pages 174-205.
    7. Thierry Post & Iňaki Rodríguez Longarela, 2021. "Risk Arbitrage Opportunities for Stock Index Options," Operations Research, INFORMS, vol. 69(1), pages 100-113, January.
    8. Almeida, Caio & Ardison, Kym & Garcia, René, 2020. "Nonparametric assessment of hedge fund performance," Journal of Econometrics, Elsevier, vol. 214(2), pages 349-378.
    9. Korsaye, Sofonias Alemu & Trojani, Fabio & Vedolin, Andrea, 2023. "The global factor structure of exchange rates," Journal of Financial Economics, Elsevier, vol. 148(1), pages 21-46.
    10. Pascal J. Maenhout & Andrea Vedolin & Hao Xing, 2020. "Generalized Robustness and Dynamic Pessimism," NBER Working Papers 26970, National Bureau of Economic Research, Inc.
    11. Post, Thierry & Karabatı, Selçuk & Arvanitis, Stelios, 2018. "Portfolio optimization based on stochastic dominance and empirical likelihood," Journal of Econometrics, Elsevier, vol. 206(1), pages 167-186.
    12. Schneider, Paul, 2019. "An anatomy of the market return," Journal of Financial Economics, Elsevier, vol. 132(2), pages 325-350.

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