This paper considers the appropriate stabilization objectives for monetary policy in a microfounded model with staggered price-setting. Rotemberg and Woodford (1997) and Woodford (2002) have shown that under certain conditions, a local approximation to the expected utility of the representative household in a model of this kind is related inversely to the expected discounted value of a conventional quadratic loss function, in which each period’s loss is a weighted average of squared deviations of inflation and an output gap measure from their optimal values (zero). However, those derivations rely on an assumption of the existence of an output or employment subsidy that offsets the distortion due to the market power of monopolistically-competitive price-setters, so that the steady state under a zero-inflation policy involves an efficient level of output. Here we show how to dispense with this unappealing assumption, so that a valid linear-quadratic approximation to the optimal policy problem is possible even when the steady state is distorted to an arbitrary

We consider a general class of nonlinear optimal policy problems involving forward-looking constraints (such as the Euler equations that are typically present as structural equations in DSGE models), and show that it is possible, under regularity conditions that are straightforward to check, to derive a problem with linear constraints and a quadratic objective that approximates the exact problem. The LQ approximate problem is computationally simple to solve, even in the case of moderately large state spaces and flexibly parameterized disturbance processes, and its solution represents a local linear approximation to the optimal policy for the exact model in the case that stochastic disturbances are small enough. We derive the second-order conditions that must be satisfied in order for the LQ problem to have a solution, and show that these are stronger, in general, than those required for LQ problems without forward-looking constraints. We also show how the same linear approximations to the model structural equations and quadratic approximation to the exact welfare measure can be used to correctly rank alternative simple policy rules, again in the case of small enough shocks.

In this article, we analyze the implications of price-setting restrictions for the conduct of cyclical fiscal and monetary policy. We consider standard monetary economies that differ in the price-setting restrictions imposed on the firms. We show that, independently of the degree or type of price stickiness, it is possible to implement the same efficient set of allocations and that each allocation in that set is implemented with policies that are also independent of the price stickiness. In this sense, environments with different price-setting restrictions are equivalent.

This paper examines what we have learned about monetary policy strategy and considers how we should change our thinking in this regard in the aftermath of the 2007-09 financial crisis. It starts with a discussion of where the science of monetary policy stood before the crisis and how central banks viewed monetary policy strategy. It then examines how the crisis has changed the thinking of both macro/monetary economists and central bankers. Finally, it looks at the extent to which the science of monetary policy needs to be altered and draws implications for monetary policy strategy.

This paper models unemployment as the result of matching frictions and job rationing. Job rationing is a shortage of jobs arising naturally in an economic equilibrium from the combination of some wage rigidity and diminishing marginal returns to labor. During recessions, job rationing is acute, driving the rise in unemployment, whereas matching frictions contribute little to unemployment. Intuitively, in recessions jobs are lacking, the labor market is slack, recruiting is easy and inexpensive, so matching frictions do not matter much. In a calibrated model, cyclical fluctuations in the composition of unemployment are quantitatively large.

Abstract Our objectives are: to quantify the stabilization welfare gains from commitment; to examine how commitment to an optimal rule can be sustained as an equilibrium; to find a simple interest rate rule that approximates the optimal commitment one. We utilize an empirical micro-founded euro-area DSGE model, a quadratic approximation of household utility as the welfare criterion, employing a nominal interest rate lower bound. In contrast to previous studies, we find significant commitment stabilization gains of around a 0.4 − 0.5% equivalent permanent consumption increase, and with higher price stickiness gains over 2%. We find that a simple optimized commitment rule responding to inflation and the real wage mimics the optimal one. JEL Classification: E52, E37, E58

This paper addresses the question of the joint conduct of fiscal and monetary policy in a currency union. The problem is studied using a two-country DSGE framework with staggered price setting, monopolistic competition in the goods market, distortionary taxation and nominal debt. The two countries form a cur-rency union but retain fiscal policy independence. The policy problem can be cast in terms of a tractable linear-quadratic setup. The stabilization properties and the welfare implications of the optimal commitment plan are compared with the outcome obtained under simple implementable rules. The central result is that fiscal policy plays a key role to smooth appropriately the impact of idiosyn-cratic exogenous shocks. Fiscal rules that respond to a measure of real activity have the potential to approximate accurately the optimal plan and lead to large welfare gains as compared to balanced budget rules. Monetary policy shall focus on maintaining price stability. JEL Classification: E63, F33, F42 Key Words: LQ Approximation, Optimal Policy, Flexibility, Welfare ∗I would like to thank Pierpaolo Benigno and Mark Gertler for their guidance and valuable advice. I am indebted to Liz Potamites for reading an early draft of this paper. Part of this project has been completed while visiting the Monetary Policy Strategy division at the European Central Bank. I have especially enjoyed conversations with Filippo Altissimo, Matt Canzoneri, Bezah Diba,

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