#05-11
Notes on Optimal Capital Regulation
Douglas Gale

Abstract: Capital adequacy requirements are justified on two grounds. On the one hand, equity capital reduces the incentive for excessive risk taking (asset subsitution or risk-shifting behavior). On the other, it provides a buffer that offsets a shortfall in the realized value of assets and allows the orderly disposal of assets in the event of bankruptcy. This paper presents a simple model of capital as a buffer stock, in which the optimal capital structure improves risk sharing between shareholders and depositors. In this framework, we can illustrate a number of general properties of optimal capital structure. First, capital structure is irrelevant when markets are complete. Second, even if markets are incomplete, the privately optimal level of capital chosen by financial institutions may be socially optimal. In that case, there is no rationale for intervention by the authorities to regulate capital structure. Third, the laisser-faire equilibrium may be inefficient if there is heterogeneity among institutions and the markets for sharing risk among institutions are incomplete or absent. However, even if the capital structure chosen in equilibrium is inefficient, it does not necessarily follow that minimum capital requirements will improve matters: there may be too much or too little capital in equilibrium. We extend the basic model to allow for heterogeneity among financial institutions, characterize the impact of capital regulation in
this case and consider the alternatives to capital regulation.

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