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On the non-optimality of a Diamond-Dybvig contract in the Goldstein-Pauzner environment

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  • Mahmoud Elamin

Abstract

I show, under intuitive conditions on the risk-averse utility function, the nonoptimality of the Diamond and Dybvig (1983) contract in the Goldstein and Pauzner (2005) environment. If marginal utility at zero is low enough, then Goldstein and Pauzner (2005)?s claim about the optimality of the Diamond and Dybvig (1983) contract is true. When it is not, the optimal contract insures the patient depositor against a project default. The contract may exhibit risk-sharing with the impatient depositor. Unlike when Goldstein and Pauzner (2005)?s claim is correct, relative risk aversion greater than 1 does not necessarily make the optimal bank contract run-prone. I present a condition under which it is.

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  • Mahmoud Elamin, 2013. "On the non-optimality of a Diamond-Dybvig contract in the Goldstein-Pauzner environment," Working Papers (Old Series) 1306, Federal Reserve Bank of Cleveland.
    • Handle: RePEc:fip:fedcwp:1306
    DOI: 10.26509/frbc-wp-201306
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    References listed on IDEAS

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    1. Douglas W. Diamond & Philip H. Dybvig, 2000. "Bank runs, deposit insurance, and liquidity," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 24(Win), pages 14-23.
    2. Itay Goldstein & Ady Pauzner, 2005. "Demand–Deposit Contracts and the Probability of Bank Runs," Journal of Finance, American Finance Association, vol. 60(3), pages 1293-1327, June.
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    Cited by:

    1. Toni Ahnert & Mahmoud Elamin, 2014. "The Effect of Safe Assets on Financial Fragility in a Bank-Run Model," Working Papers (Old Series) 1437, Federal Reserve Bank of Cleveland.
    2. Kučinskas, Simas, 2019. "Aggregate risk and efficiency of mutual funds," Journal of Banking & Finance, Elsevier, vol. 101(C), pages 1-11.

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