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Working Paper
Finite-Order VAR Representation of Linear Rational Expectations Models: With Some Lessons for Monetary Policy
This paper considers the characterization via finite-order VARs of the solution of a large class of linear rational expectations (LRE) models. I propose a unified approach that uses a companion Sylvester equation to check the existence and uniqueness of a solution to the canonical (first-order) LRE model in finite-order VAR form and a quadratic matrix equation to characterize it decoupling the backward- and forward-looking aspects of the model. I also investigate the fundamentalness of the shocks recovered. Solving LRE models by this procedure is straightforward to implement, general in its ...
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How to escape a liquidity trap with interest rate rules
I study how central banks should communicate monetary policy in liquidity trap scenarios in which the zero lower bound on nominal interest rates is binding. Using a standard New Keynesian model, I argue that the key to anchoring expectations and preventing self-fulfilling deflationary spirals is to promise to keep nominal interest rates pegged at zero for a length of time that depends on the state of the economy. I derive necessary and sufficient conditions for this type of state-contingent forward guidance to implement the welfare-maximizing equilibrium as a globally determinate (that is, ...
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An interest rate rule to uniquely implement the optimal equilibrium in a liquidity trap
We propose a new interest rate rule that implements the optimal equilibrium and eliminates all indeterminacy in a canonical New Keynesian model in which the zero lower bound on nominal interest rates (ZLB) is binding. The rule commits to zero nominal interest rates for a length of time that increases in proportion to how much past inflation has deviated?either upward or downward?from its optimal level. Once outside the ZLB, interest rates follow a standard Taylor rule. Following the Taylor principle outside the ZLB is neither necessary nor sufficient to ensure uniqueness of equilibria. ...
Working Paper
A Matter of Perspective: Mapping Linear Rational Expectations Models into Finite-Order VAR Form
This paper considers the characterization of the reduced-form solution of a large class of linear rational expectations models. I show that under certain conditions, if a solution exists and is unique, it can be cast in finite-order VAR form. I also investigate the conditions for the VAR form to be stationary with a well-defined residual variance-covariance matrix in equilibrium, for the shocks to be recoverable, and for local identification of the structural parameters for estimation from the sample likelihood. An application to the workhorse New Keynesian model with accompanying Matlab ...
Working Paper
Behavioral Economics and Macroeconomic Models
Over the past 20 years, macroeconomists have incorporated more and more results from behavioral economics into their models. We argue that doing so has helped fixed deficiencies with standard approaches to modeling the economy--for example, the counterfactual absence of inertia in the standard New Keynesian model of economic fluctuations. We survey efforts to use behavioral economics to improve some of the underpinnings of the New Keynesian model--specifically, consumption, the formation of expectations and determination of wages and employment that underlie aggregate supply, and the ...
Working Paper
Short-term Planning, Monetary Policy, and Macroeconomic Persistence
This paper uses aggregate data to estimate and evaluate a behavioral New Keynesian (NK) model in which households and firms plan over a finite horizon. The finite-horizon (FH) model outperforms rational expectations versions of the NK model commonly used in empirical applications as well as other behavioral NK models. The better fit of the FH model reflects that it can induce slow-moving trends in key endogenous variables which deliver substantial persistence in output and inflation dynamics. In the FH model, households and firms are forward-looking in thinking about events over their ...
Working Paper
Monetary Policy Interactions: The Policy Rate, Asset Purchases and Optimal Policy with an Interest Rate Peg
We study monetary policy in a New Keynesian model with a variable credit spread and scope for central bank asset purchases to matter. A novel financial and labor market interaction generates an endogenous cost-push channel in the Phillips curve and a credit wedge in the IS curve. These channels arise due to a liquidity premium to long-term debt present in our model. The “divine coincidence” holds with the nominal short rate and central bank balance sheet available as policy tools—dual-instrument policy. Targeting the liquidity premium using balance sheet policy provides a determinate ...
Working Paper
The Chicago Fed DSGE Model: Version 2
The Chicago Fed dynamic stochastic general equilibrium (DSGE) model is used for policy analysis and forecasting at the Federal Reserve Bank of Chicago. This guide describes its specification, estimation, dynamic characteristics, and how it is used to forecast the U.S. economy. In many respects the model resembles other medium-scale New Keynesian frameworks, but there are several features which distinguish it: the monetary policy rule includes anticipated future deviations, productivity is driven by both neutral and investment specific technical change, multiple price and wage indices identify ...
Working Paper
Substitution Bias and Fixed-Weight Price Indices in Time-Dependent Pricing Models
This paper compares inflation in true price indices to inflation in fixed-weight price indices. We construct model-based inflation measures in time-dependent pricing models that are analogous to measures of inflation in the data, e.g., the Consumer Price Index. In the standard new Keynesian model, when inflation rises rapidly, the differences between inflation in those indices and true price indices are increasing in the degree of price stickiness and the elasticity of substitution across goods. For commonly used parameter values, those differences are large and persistent for increases in ...
Working Paper
Trade Costs and Inflation Dynamics
We study how trade cost shocks influence inflation. Using bilateral trade flows from detailed global input-output data and a gravity framework, we estimate trade cost shocks and their effects on CPI inflation. Higher trade costs for final goods cause large but short-lived inflation spikes, while increased costs for intermediate inputs trigger more persistent inflation. A multi-country model of inflation with trade in final goods and intermediate inputs replicates these patterns. We show that trade cost shocks and tariffs on imported inputs transmit through global value chains and worsen ...