@techreport{NBERw5947, title = "On the Optimality of Interest Rate Smoothing", author = "Sergio Rebelo and Danyang Xie", institution = "National Bureau of Economic Research", type = "Working Paper", series = "Working Paper Series", number = "5947", year = "1997", month = "February", URL = "http://www.nber.org/papers/w5947", abstract = {This paper studies some continuous-time cash-in-advance models in which interest rate smoothing is optimal. We consider both deterministic and stochastic models. In the stochastic case we obtain two results of independent interest: (i) we study what is, to our knowledge, the only version of the neoclassical model under uncertainty that can be solved in closed form in continuous time; and (ii) we show how to characterize the competitive equilibrium of a stochastic continuous time model that cannot be computed by solving a planning problem. We also discuss the scope for monetary policy to improve welfare in an economy with a suboptimal real competitive equilibrium, focusing on the particular example of an economy with externalities.}, }