We integrate an overlapping generations model into a new monetarist framework and show that the Friedman rule is not optimal. This is because inflation makes saving for retirement less attractive, such that young agents optimally choose to increase their consumption at the expense of lower...

In this study we offer a new approach to proving the differentiability of the value function, which complements and extends the literature on dynamic programming. This result is then applied to the analysis of equilibrium in the recent class of monetary economies developed in [14]. For this type...