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The classical Bagehot conception of a Lender of Last Resort (LOLR) that lends to illiquid banks has been criticized on two grounds: On the one hand, the distinction between insolvency and illiquidity is not clear-cut; on the other, a fully collateralized repo market allows central banks to provide the adequate aggregate amount of liquidity and leave to the banks the responsibility of lending uncollateralized. The object of this paper is to analyze these issues rigorously by providing a framework in which liquidity shocks cannot be distinguished from solvency ones and then asking whether there is a need for a LOLR and how it should operate in the absence of systemic threats. Determining the optimal LOLR policy requires a careful modeling of the structure of the interbank market and of the closure policy. In our setup, the results depend upon the existence of moral hazard. If the main source of moral hazard is the …