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Existence of the Wealth-Consumption Ratio in Asset Pricing Models with Recursive Preferences

Author

Listed:
  • Walter Pohl
  • Karl Schmedders
  • Ole Wilms
Abstract
Modern asset pricing models combine recursive preferences with complex dynamics for the underlying consumption process. The existence of solutions is for many of these models an unsettled question. This paper introduces a novel technique to prove existence and nonexistence, as well as uniqueness for models with recursive preferences. The approach applies to many models of interest, including those with long-run consumption risks, with stochastic volatility and jumps, with time-varying consumption disasters, and with smooth ambiguity aversion and learning. Collectively, the proven results settle the existence question for many of today’s leading asset pricing models.

Suggested Citation

  • Walter Pohl & Karl Schmedders & Ole Wilms, 2024. "Existence of the Wealth-Consumption Ratio in Asset Pricing Models with Recursive Preferences," The Review of Financial Studies, Society for Financial Studies, vol. 37(3), pages 989-1028.
    • Handle: RePEc:oup:rfinst:v:37:y:2024:i:3:p:989-1028.
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    File URL: http://hdl.handle.net/10.1093/rfs/hhad069
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    More about this item

    Keywords

    C6; C62; G1; G10; G11; G12;
    All these keywords.

    JEL classification:

    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • G1 - Financial Economics - - General Financial Markets
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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