Aggregate Calvo pricing. The Hard Part: The recursive law of motion for ( p_t^* ) (optimal reset price). Solution Insight: You must derive that inflation is forward-looking: ( \pi_t = \beta E_t\pi_t+1 + \lambda \tildemc_t ), where ( \lambda = \frac(1-\theta)(1-\beta\theta)\theta ). A good solution manual will walk you through the infinite sum of future marginal costs.
: Contains mathematical steps for solving optimal policy under discretion versus commitment. External Academic Problem Sets Solution Manual Gali Monetary Policy