In an incomplete markets economy with sunspots, the Pareto-criterion cannot rank sunspot equilibria of different levels of excess price-level volatility. Therefore, I propose a measure of excess volatility cost in terms of a period-0 endowment good. Ex-ante endowment subsidies are provided, in theory, to each consumer, so that the resulting equilibrium allocation of the higher volatility is Pareto-equivalent to the original benchmark equilibrium with a lower volatility level. The aggregate volatility cost is computed as the sum of all consumers' subsidies. Focusing on local analysis that considers small variations around a given volatility level, I show that the aggregate cost strictly increases in volatility even though each individual cost does not necessarily have this property.

We generalize a money-in-the-utility function model to include interest-bearing deposits and use the model to estimate the welfare cost of inflation. In the model, the user cost of deposits is invariant to inflation in steady state. Currency and deposits are assumed to be weakly separable and the model is calibrated using index number methods. We find that the welfare cost of inflation is substantially lower in the model with interest-bearing deposits than in models where all monetary assets are assumed to be non-interest bearing. We also show that higher inflation can raise or lower the rate of convergence to steady state depending on the coefficient of relative risk aversion, but the effect is weak. We provide evidence for OECD countries suggesting that there could be a positive effect of inflation on user costs, which would lead to higher welfare cost estimates.