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Equilibrium asset pricing with Epstein-Zin and loss-averse investors

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  • Guo, Jing
  • He, Xue Dong

Abstract

We study multi-period equilibrium asset pricing in an economy with Epstein-Zin (EZ-) agents whose preferences for consumption are represented by recursive utility and with loss averse (LA-) agents who derive additional utility of gains and losses and are averse to losses. We propose an equilibrium gain-loss ratio for stocks and show that the LA-agents are more (less) risk averse than the EZ-agents if their degree of loss aversion is higher (lower) than this ratio. When all the agents have unitary relative risk aversion degree and elasticity of intertemporal substitution, we prove the existence and uniqueness of the equilibrium and the market dominance of the EZ-agents in the long run. Finally, we extend our results to the case in which the LA-agents use probability weighting in their evaluation of gains and losses.

Suggested Citation

  • Guo, Jing & He, Xue Dong, 2017. "Equilibrium asset pricing with Epstein-Zin and loss-averse investors," Journal of Economic Dynamics and Control, Elsevier, vol. 76(C), pages 86-108.
    • Handle: RePEc:eee:dyncon:v:76:y:2017:i:c:p:86-108
    DOI: 10.1016/j.jedc.2016.12.008
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    2. Luca De Gennaro Aquino & Xuedong He & Moris Simon Strub & Yuting Yang, 2024. "Reference-dependent asset pricing with a stochastic consumption-dividend ratio," Papers 2401.12856, arXiv.org.
    3. Wei Liu & Shiji Song & Ying Qiao & Han Zhao, 2020. "Supply Chain Coordination with a Loss-Averse Retailer and Combined Contract," Mathematics, MDPI, vol. 8(4), pages 1-20, April.
    4. Guo, Jing & He, Xue Dong, 2021. "A new preference model that allows for narrow framing," Journal of Mathematical Economics, Elsevier, vol. 95(C).
    5. Liyan Yang, 2019. "Loss Aversion in Financial Markets," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 4(1), pages 119-137, November.
    6. Ruan, Xinfeng & Zhang, Jin E., 2018. "Equilibrium variance risk premium in a cost-free production economy," Journal of Economic Dynamics and Control, Elsevier, vol. 96(C), pages 42-60.

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    More about this item

    Keywords

    Equilibrium asset pricing; Heterogeneous agents; Recursive utility; Loss aversion; Gain-loss ratio; Market dominance;
    All these keywords.

    JEL classification:

    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets
    • G02 - Financial Economics - - General - - - Behavioral Finance: Underlying Principles
    • 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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