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Optimal design of bank regulation under aggregate risk. (English) Zbl 1522.91300

Summary: We develop a tractable general equilibrium model of banking under aggregate risk. Our novel framework includes the main tools of banking regulation – capital and liquidity requirements, deposit insurance and transfers – and shows how they interact and jointly emerge as an optimal response to the inefficiency of the equilibrium of the unregulated economy. This enables us to contribute to several ongoing debates between proponents and opponents of stricter bank regulation. We show that, for low levels of aggregate risk, the general efficient allocation of the economy can be implemented via deposit insurance and transfers alone with no need for capital or liquidity requirements. When aggregate risk exceeds a threshold, however, all four regulatory instruments are essential for efficiency. Capital and liquidity requirements become stricter as aggregate risk increases. Our results, therefore, support the views of opponents of stricter bank regulation when aggregate risk is moderate, but validate the views of proponents when aggregate risk is high. In contrast with recent proposals to reduce or eliminate depositor subsidies to constrain bank leverage, our analysis also demonstrates that depositor subsidies are necessary for efficiency under aggregate risk as they achieve optimal risk-sharing among agents and mitigate underinvestment.

MSC:

91G45 Financial networks (including contagion, systemic risk, regulation)
91B50 General equilibrium theory
91G50 Corporate finance (dividends, real options, etc.)
Full Text: DOI

References:

[1] Acharya, VV; Mehran, H.; Thakor, A., Caught between Scylla and Charybdis? Regulating bank leverage when there is rent seeking and risk shifting, Rev. Corp. Finance Stud., 5, 36-75 (2016)
[2] Admati, A.; Hellwig, M., The Bankers’ New Clothes: What’s Wrong With Banking and What to Do About It (2013), Princeton: Princeton University Press, Princeton
[3] Adrian, T., Boyarchenko, N.: Liquidity Policies and Systemic Risk, Working Paper, Federal Reserve Bank of New York (2014)
[4] Allen, F.; Carletti, E.; Marquez, R., Credit market competition and capital regulation, Rev. Financ. Stud., 24, 983-1018 (2011) · doi:10.1093/rfs/hhp089
[5] Allen, F.; Carletti, E.; Marquez, R., Deposits and bank capital structure, J. Financ. Econ., 118, 601-619 (2015) · doi:10.1016/j.jfineco.2014.11.003
[6] Allen, F.; Gale, D., Financial intermediaries and markets, Econometrica, 72, 1023-1061 (2004) · Zbl 1141.91597 · doi:10.1111/j.1468-0262.2004.00525.x
[7] Begenau, J.; Landvoigt, T., Financial regulation in a quantitative model of the modern banking system, Rev. Econ. Stud., 89, 4, 1748-1784 (2022) · Zbl 1497.91327 · doi:10.1093/restud/rdab088
[8] Begenau, J., Capital requirements, risk choice, and liquidity provision in a business-cycle model, J. Financ. Econ., 136, 355-378 (2020) · doi:10.1016/j.jfineco.2019.10.004
[9] Boyd, J.; De Nicoló, G., The theory of bank risk-taking and competition revisited, J. Finance, 60, 1329-1343 (2005) · doi:10.1111/j.1540-6261.2005.00763.x
[10] Bryant, J., A model of reserves, bank runs and deposit insurance, J. Bank. Finance, 4, 335-344 (1980) · doi:10.1016/0378-4266(80)90012-6
[11] Carletti, E.; Leonello, A., Credit market competition and liquidity crises, Rev. Finance, 23, 855-892 (2019) · Zbl 1470.91309 · doi:10.1093/rof/rfy026
[12] Corbae, D.; D’Erasmo, P., Capital requirements in a quantitative model of banking industry dynamics, Econometrica, 89, 6, 2975-3023 (2021) · Zbl 1485.91242 · doi:10.3982/ECTA16930
[13] Covas, F., Driscoll, J.C.: Bank liquidity and capital regulation in general equilibrium. Working Paper, Federal Reserve Board (2014)
[14] Davydiuk, T.: Dynamic bank capital requirements. Working Paper, Tepper School of Business, Carnegie-Mellon University (2017)
[15] Diamond, DW, Financial intermediation and delegated monitoring, Rev. Econ. Stud., 51, 393-414 (1984) · Zbl 0539.90006 · doi:10.2307/2297430
[16] Diamond, DW; Dybvig, PH, Bank runs, deposit insurance and liquidity, J. Polit. Econ., 91, 401-419 (1983) · Zbl 1341.91135 · doi:10.1086/261155
[17] Diamond, DW; Rajan, RG, A theory of bank capital, J. Finance, 55, 2431-2465 (2000) · doi:10.1111/0022-1082.00296
[18] Faria-e-Castro, M.: A quantitative analysis of the countercyclical capital buffer. Working Paper, Federal Reserve Bank of St. Louis (2020)
[19] Fishburn, PC; Burr Porter, R., Optimal portfolios with one safe and one risky asset: effects of changes in rate of return and risk, Manag. Sci., 22, 1064-1073 (1976) · Zbl 0325.90008 · doi:10.1287/mnsc.22.10.1064
[20] Gale, D., Commentary: capital regulation and risk sharing, Int. J. Cent. Bank., 6-4, 187-204 (2010)
[21] Gale, D.; Ozgur, O., Are bank capital ratios too high or too low? Risk aversion, incomplete markets, and optimal capital structure, J. Eur. Econ. Assoc., 3, 2-3, 690-700 (2005) · doi:10.1162/jeea.2005.3.2-3.690
[22] Gertler, M.; Kiyotaki, N.; Prestipino, A., Credit booms, financial crises, and macroprudential policy, Rev. Econ. Dyn., 37, S8-S33 (2020) · doi:10.1016/j.red.2020.06.004
[23] Giammarino, RM; Lewis, TR; Sappington, DEM, An incentive approach to banking regulation, J. Finance, 48, 1523-1542 (1993) · doi:10.1111/j.1540-6261.1993.tb04766.x
[24] Goldstein, I.; Pauzner, A., Demand-deposit contracts and the probability of bank runs, J. Finance, 60, 1293-1327 (2005) · doi:10.1111/j.1540-6261.2005.00762.x
[25] Gorton, G.; Huang, L., Liquidity, efficiency and bank bailouts, Am. Econ. Rev., 94, 455-483 (2004) · doi:10.1257/0002828041464650
[26] Gorton, G.; Pennacchi, G., Financial intermediaries and liquidity creation, J. Finance, 45, 49-72 (1990) · doi:10.1111/j.1540-6261.1990.tb05080.x
[27] Gorton, G., Winton, A.: Liquidity provision, bank capital, and the macroeconomy. Unpublished working paper. University of Pennsylvania, Philadelphia, PA (2000)
[28] Guiso, L.; Haliassos, M.; Jappelli, T., Household Portfolios (2002), Cambridge: MIT Press, Cambridge · doi:10.7551/mitpress/3568.001.0001
[29] Hammond, P.; Sun, Y., Monte Carlo simulation of macroeconomic risk with a continuum of agents: the general case, Econ. Theor., 36, 303-325 (2008) · Zbl 1148.91033 · doi:10.1007/s00199-007-0279-7
[30] Hanson, S.; Kashyap, A.; Stein, J., A macroprudential approach to financial regulation, J. Econ. Perspect., 25, 3-28 (2011) · doi:10.1257/jep.25.1.3
[31] Harris, M., Opp, C., Opp, M.: Higher Capital Requirements, Safer Banks? Macroprudential Regulation in a Competitive Financial System, Working Paper (2014)
[32] Holmström, B.; Tirole, J., Financial intermediation, loanable funds, and the real sector, Quart. J. Econ., 112, 663-691 (1997) · doi:10.1162/003355397555316
[33] Lu, T.; Sapra, H.; Subramanian, A., Agency conflicts, bank capital regulation and marking-to-market, Acc. Rev., 94, 365-384 (2019) · doi:10.2308/accr-52414
[34] Mankart, J.; Michaelides, A.; Pagratis, S., Bank capital buffers in a dynamic model, Financ. Manag., 49, 473-502 (2020) · doi:10.1111/fima.12253
[35] Marshall, DA; Prescott, ES, State-contingent bank regulation with unobserved actions and unobserved characteristics, J. Econ. Dyn. Control, 30, 2015-2049 (2006) · Zbl 1162.91506 · doi:10.1016/j.jedc.2005.07.001
[36] Martinez-Miera, D.; Repullo, R., Searching for yield, Econometrica, 85, 351-378 (2017) · Zbl 1420.91483 · doi:10.3982/ECTA14057
[37] Mehran, H.; Thakor, A., Bank capital and value in the cross-section, Rev. Financ. Stud., 24, 1019-1067 (2011) · doi:10.1093/rfs/hhq022
[38] Morrison, A.; White, L., Crises and capital requirements in banking, Am. Econ. Rev., 95, 1548-1572 (2005) · doi:10.1257/000282805775014254
[39] Nguyen, T.: Bank Capital Requirements: A Quantitative Analysis, Working Paper, Fisher College of Business, Ohio State University (2015)
[40] Pancost, A., Robatto, R.: The effects of capital requirements on good and bad risk-taking, Working Paper, European Systemic Risk Board (2019)
[41] Pandolfo, J.: Bank Regulation: Capital and Liquidity Requirements, Working Paper, Federal Deposit Insurance Corporation (2022)
[42] Repullo, R.; Suarez, J., The procyclical effects of bank capital regulation, Rev. Financ. Stud., 26, 452-490 (2013) · doi:10.1093/rfs/hhs118
[43] Rochet, J-C, Capital requirements and the behavior of commercial banks, Eur. Econ. Rev., 36, 1137-1178 (1992) · doi:10.1016/0014-2921(92)90051-W
[44] Santos, JAC, Bank capital regulation in contemporary banking theory: a review of the literature, Financ. Mark. Inst. Instrum., 10, 41-84 (2001) · doi:10.1111/1468-0416.00042
[45] Schafer, A., Schnabel, I., di Mauro, B.W.: Bail-In expectations for European banks: Actions speak louder than words, CEPR Discussion Paper No. DP11061 (2016)
[46] Subramanian, A.; Yang, B., Dynamic prudential regulation, Manag. Sci., 66, 7, 3183-3210 (2020) · doi:10.1287/mnsc.2019.3333
[47] Thakor, AV, Bank capital and financial stability: an economic tradeoff or a faustian bargain?, Annu. Rev. Financ. Econ., 6, 185-223 (2014) · doi:10.1146/annurev-financial-110613-034531
[48] Van den Heuvel, S.: The Welfare Effects of Bank Liquidity and Capital Requirements, Working Paper, Federal Reserve Board (2022)
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