This paper presents a dynamic model of imperfect competition in banking where the banks can invest in a prudent or a gambling asset. We show that if intermediation margins are small, the banks' franchise values will be small, and in the absence of regulation only a gambling equilibrium will exist. In this case, capital requirements can ensure the existence of a prudent equilibrium, because they do not affect the banks' franchise values and reduce their gambling incentives by putting their equity at risk. In contrast, deposit interest rate ceilings may increase the banks' franchise values, but do not always guarantee the existence of a prudent equilibrium.

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We assess the procyclical effects of bank capital regulation in a dynamic equilibrium model of relationship lending in which banks are unable to access the equity markets every period. Banks anticipate that shocks to their earnings as well as the cyclical position of the economy can impair their capacity to lend in the future and, as a precaution, hold capital buffers. We find that under cyclically-varying risk-based capital requirements (e.g. Basel II) banks hold larger buffers in expansions than in recessions. Yet, these buffers are insufficient to prevent a significant contraction in the supply of credit at the arrival of a recession. We show that cyclical adjustments in the confidence level underlying Basel II can reduce its procyclical effects on the supply of credit without compromising banks' long-run solvency targets.

A large theoretical literature shows that competition reduces banks' franchise values and induces them to take more risk. Recent research contradicts this result: When banks charge lower rates, their borrowers have an incentive to choose safer investments, so they will in turn be safer. However, this argument does not take into account the fact that lower rates also reduce the banks' revenues from non-defaulting loans. This paper shows that when this effect is taken into account, a U-shaped relationship between competition and the risk of bank failure generally obtains.