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Robust Optimal Risk Sharing and Risk Premia in Expanding Pools

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  • Thomas Knispel
  • Roger J. A. Laeven
  • Gregor Svindland

Abstract

We consider the problem of optimal risk sharing in a pool of cooperative agents. We analyze the asymptotic behavior of the certainty equivalents and risk premia associated with the Pareto optimal risk sharing contract as the pool expands. We first study this problem under expected utility preferences with an objectively or subjectively given probabilistic model. Next, we develop a robust approach by explicitly taking uncertainty about the probabilistic model (ambiguity) into account. The resulting robust certainty equivalents and risk premia compound risk and ambiguity aversion. We provide explicit results on their limits and rates of convergence, induced by Pareto optimal risk sharing in expanding pools.

Suggested Citation

  • Thomas Knispel & Roger J. A. Laeven & Gregor Svindland, 2016. "Robust Optimal Risk Sharing and Risk Premia in Expanding Pools," Papers 1601.06979, arXiv.org.
  • Handle: RePEc:arx:papers:1601.06979
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    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • G20 - Financial Economics - - Financial Institutions and Services - - - General

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