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Nonparametric Estimation of the Diamond-Dybvig Banking Model

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  • Bruno Sultanum

Abstract

I propose a nonparametric structural estimator for the distribution of liquidity needs in a version of the Diamond and Dybvig (1983) model when only the aggregate level of withdrawals is observed. The model is an extension of Peck and Shell (2003) with a continuum of depositors. I show how the characterization of the optimal contract proposed in Sultanum (2014) can be used to estimate the distribution of aggregate liquidity needs. The method builds on the literature of estimation of auctions. More precisely, it uses the indirect approach proposed by Guerre et al. (2000). Guerre et al. (2000) use the differential equation associated with the first-order condition for the optimal bid to recover the unobserved distribution of agents' valuations from the distribution of bids in an auction. The method I propose uses the differential equation associated with the first-order condition for an optimal bank contract to recover the unobserved distribution of liquidity needs from the observed distribution of total bank withdrawals. I use a numerical simulation to illustrate the estimation procedure

Suggested Citation

  • Bruno Sultanum, 2016. "Nonparametric Estimation of the Diamond-Dybvig Banking Model," Economic Quarterly, Federal Reserve Bank of Richmond, issue Q4, pages 261-279.
    • Handle: RePEc:fip:fedreq:00050
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    References listed on IDEAS

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    1. Nuno Cassola & Ali Hortaçsu & Jakub Kastl, 2013. "The 2007 Subprime Market Crisis Through the Lens of European Central Bank Auctions for Short‐Term Funds," Econometrica, Econometric Society, vol. 81(4), pages 1309-1345, July.
    2. Huberto M. Ennis & Todd Keister, 2009. "Bank Runs and Institutions: The Perils of Intervention," American Economic Review, American Economic Association, vol. 99(4), pages 1588-1607, September.
    3. 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.
    4. Elena Krasnokutskaya, 2011. "Identification and Estimation of Auction Models with Unobserved Heterogeneity," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(1), pages 293-327.
    5. Neil Wallace, 1988. "Another attempt to explain an illiquid banking system: the Diamond and Dybvig model with sequential service taken seriously," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 12(Fall), pages 3-16.
    6. Nathan Foley-Fisher & Borghan Narajabad & Stéphane Verani, 2020. "Self-Fulfilling Runs: Evidence from the US Life Insurance Industry," Journal of Political Economy, University of Chicago Press, vol. 128(9), pages 3520-3569.
    7. Jakub Kastl, 2011. "Discrete Bids and Empirical Inference in Divisible Good Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(3), pages 974-1014.
    8. Edward J. Green & Ping Lin, 2000. "Diamond and Dybvig's classic theory of financial intermediation : what's missing?," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 24(Win), pages 3-13.
    9. Sultanum, Bruno, 2014. "Optimal Diamond–Dybvig mechanism in large economies with aggregate uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 40(C), pages 95-102.
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