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Optimal Reserves and Short Term Interest Rates in a Model of Bank Runs

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  • Geethanjali Selvaretnam

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Abstract

Banks can fail because of bad economic fundamentals, and/or general panic withdrawals by depositors who feel the bank does not have sufficient reserves to meet the demand. This paper attempts to find the optimal reserve level and early returns the banks should decide on. If the reserve policy of the bank is transparent, it is found that more reserves have to be put aside over and above the real need, and this inefficiency increases with the proportion of impatient agents. It is also found that the optimal early return is lower than the first-best. The model recommends that when reserve policy is transparent there is no need for regulation. However, if reserve policy is not transparent, the model recommends regulation for both reserves and early returns. This is because of the moral hazard problem, the banks would keep lower reserves and offer higher early returns than what maximises depositor welfare.

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Paper provided by University of Essex, Department of Economics in its series Economics Discussion Papers with number 605.

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Date of creation: 15 Dec 2005
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Handle: RePEc:esx:essedp:605

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  1. Carlsson, H. & Damme, E.E.C. van, 1990. "Global games and equilibrium selection," Discussion Paper 1990-52, Tilburg University, Center for Economic Research.
  2. S. Rao Aiyagari, 1988. "Banking panics, information, and rational expectations equilibrium," Working Papers 320, Federal Reserve Bank of Minneapolis.
  3. Bougheas, Spiros, 1999. "Contagious bank runs," International Review of Economics & Finance, Elsevier, vol. 8(2), pages 131-146, June.
  4. Diamond, Douglas W & Dybvig, Philip H, 1983. "Bank Runs, Deposit Insurance, and Liquidity," Journal of Political Economy, University of Chicago Press, vol. 91(3), pages 401-19, June.
  5. Gary Gorton, 1986. "Banking panics and business cycles," Working Papers 86-9, Federal Reserve Bank of Philadelphia.
  6. Williams, Joseph, 1988. " Banking Panics, Information, and Rational Expectations Equilibrium: Discussion," Journal of Finance, American Finance Association, vol. 43(3), pages 761-63, July.
  7. Bhattacharya, Sudipto & Boot, Arnoud W A & Thakor, Anjan V, 1998. "The Economics of Bank Regulation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 30(4), pages 745-70, November.
  8. Cooper, Russell & Ross, Thomas W., 1998. "Bank runs: Liquidity costs and investment distortions," Journal of Monetary Economics, Elsevier, vol. 41(1), pages 27-38, February.
  9. Bryant, John, 1980. "A model of reserves, bank runs, and deposit insurance," Journal of Banking & Finance, Elsevier, vol. 4(4), pages 335-344, December.
  10. Morris, Stephen & Shin, Hyun Song, 1998. "Unique Equilibrium in a Model of Self-Fulfilling Currency Attacks," American Economic Review, American Economic Association, vol. 88(3), pages 587-97, June.
  11. James Peck & Karl Shell, 2003. "Bank Portfolio Restrictions and Equilibrium Bank Runs," Levine's Bibliography 666156000000000077, UCLA Department of Economics.
  12. Chari, V V & Jagannathan, Ravi, 1988. " Banking Panics, Information, and Rational Expectations Equilibrium," Journal of Finance, American Finance Association, vol. 43(3), pages 749-61, July.
  13. James Peck & Karl Shell, 2003. "Equilibrium Bank Runs," Journal of Political Economy, University of Chicago Press, vol. 111(1), pages 103-123, February.
  14. Cothren, Richard, 1987. "Asymmetric Information and Optimal Bank Reserves," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 19(1), pages 68-77, February.
  15. Stephen Morris & Hyun Song Shin, 2000. "Global Games: Theory and Applications," Cowles Foundation Discussion Papers 1275R, Cowles Foundation for Research in Economics, Yale University, revised Aug 2001.
  16. Alonso, Irasema, 1996. "On avoiding bank runs," Journal of Monetary Economics, Elsevier, vol. 37(1), pages 73-87, February.
  17. Loewy, Michael B., 1998. "Information-Based Bank Runs in a Monetary Economy," Journal of Macroeconomics, Elsevier, vol. 20(4), pages 681-702, October.
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