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The basic (representative-household) New Keynesian model of the monetary transmission mechanism is extended to allow for a spread between the interest rate available to savers and borrowers, and investigate the consequences of a variable credit spread for the effects of a variety of shocks, and for optimal policy responses to those shocks. A simple target criterion continues to provide a good approximation to optimal policy. Such a “flexible inflation target” can be implemented by a central-bank reaction function that is similar to a forward-looking Taylor rule, but adjusted for changes in current and expected future credit spreads.