Measuring the welfare costs of inflation in a life-cycle model

In a neoclassical growth model with life-cycle households in which money is held to satisfy a cash-in-advance constraint, the optimal steady state inflation rate is absurdly high: in excess of 20%. Lump-sum, age-independent money injections twist and flatten the lifetime profile of utility, making this profile look more like the one that would be chosen by a planner. The cost of monetary finance of lump-sum payments is the distortion introduced to the labor-leisure choice.