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Asset pricing implications of efficient risk sharing in an endowment economy

In: Recent Developments on Money and Finance

Author

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  • Pamela Labadie

    (Mount Vernon Campus, George Washington University)

Abstract

Summary The asset pricing behavior is studied in an overlapping generations model that is dynamically inefficient because of inefficient aggregate risk sharing. The inefficiency is linked with the stochastic distribution of income over agents within a period. The introduction of a clearing house may eliminate the dynamic inefficiency, but depending on how the clearing house operates, households may only have partial insurance against income risk. Hence, the clearing house affects the marginal rate of substitution (MRS) across generations within a period and also the intertemporal marginal rate of substitution faced by a household, which is the stochastic discount factor (SDF) applied to income streams over time. The opportunity to insure against income risk is related to different concepts of Pareto optimality. The implications for asset prices and the market price of risk are derived. In particular, the matrix of contingent claim prices supporting a Pareto optimal allocation must have a dominant root no greater than unity. This is equivalent to restricting the matrix of within-period MRS to have a dominant root no greater than unity. The sequence of powers of the pricing matrix determines the time series properties of the SDF, asset prices and asset returns.

Suggested Citation

  • Pamela Labadie, 2006. "Asset pricing implications of efficient risk sharing in an endowment economy," Studies in Economic Theory, in: Charalambos D. Aliprantis & Nicholas C. Yannelis & Gabriele Camera (ed.), Recent Developments on Money and Finance, pages 149-159, Springer.
  • Handle: RePEc:spr:steccp:978-3-540-29500-6_7
    DOI: 10.1007/3-540-29500-3_7
    as

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