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A Class of Tractable Incomplete-Market Models for Studying Asset Returns and Risk Exposure

Author

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  • François Le Grand

    (EM - EMLyon Business School, D-ERDW - Departement Erdwissenschaften [ETH Zürich] - ETH Zürich - Eidgenössische Technische Hochschule - Swiss Federal Institute of Technology [Zürich])

  • Xavier Ragot

    (ECON - Département d'économie (Sciences Po) - Sciences Po - Sciences Po - CNRS - Centre National de la Recherche Scientifique, CNRS - Centre National de la Recherche Scientifique, OFCE - Observatoire français des conjonctures économiques (Sciences Po) - Sciences Po - Sciences Po)

Abstract

We present a class of tractable incomplete-market models, where agents face both aggregate risk and limited participation in financial markets. Tractability relies on the assumptions of small asset volumes and of a period utility function that is linear beyond a threshold, in line with Fishburn's (1977) contribution in decision theory. We prove the existence of an equilibrium and derive theoretical results regarding asset prices and consumption choices. This small-trade model is able to reproduce a low safe return and a high equity premium, together with a realistic representation of household exposure to both idiosyncratic and aggregate risks.

Suggested Citation

  • François Le Grand & Xavier Ragot, 2018. "A Class of Tractable Incomplete-Market Models for Studying Asset Returns and Risk Exposure," SciencePo Working papers Main hal-03949545, HAL.
    • Handle: RePEc:hal:spmain:hal-03949545
    DOI: 10.1016/j.euroecorev.2018.01.003
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    1. Kaas, Leo, 2023. "Block-recursive equilibria in heterogeneous-agent models," Journal of Economic Theory, Elsevier, vol. 212(C).

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    More about this item

    Keywords

    Incomplete markets; Risk sharing; Consumption inequalities;
    All these keywords.

    JEL classification:

    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution

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