Andrew T. Levin

Optimal Monetary Policy with Staggered Wage and Price Contracts

We formulate an optimizing-agent model in which both labor and product markets exhibit monopolistic competition and staggered nominal contracts. The unconditional expectation of average household utility can be expressed in terms of the unconditional variances of the output gap, price inflation, and wage inflation. Monetary policy cannot replicate the Pareto-optimal equilibrium that would occur under completely flexible wages and prices; that is, the model exhibits a tradeoff between stabilizing the output gap, price inflation, and wage inflation. The Pareto optimum is attainable only if either wages or prices are completely flexible. For reasonable calibrations of the model, we characterize the optimal policy rule. Furthermore, strict price inflation targeting is clearly suboptimal, whereas rules that also respond to either the output gap or wage inflation are nearly optimal.

Imperfect credibility and inflation persistence

In this paper, we formulate a dynamic general equilibrium model with staggered nominal contracts, in which households and firms use optimal filtering to disentangle persistent and transitory shifts in the monetary policy rule. The calibrated model accounts quite well for the dynamics of output and inflation during the Volcker disinflation, and implies a sacrifice ratio very close to the estimated value. Our approach indicates that inflation persistence and substantial costs of disinflation can be generated in an optimizing-agent framework, without relaxing the assumption of rational expectations or relying on arbitrary modifications to the aggregate supply relation.

The Performance of Forecast-Based Monetary Policy Rules Under Model Uncertainty

We investigate the performance of forecast-based monetary policy rules using five macroeconomic models that reflect a wide range of views on aggregate dynamics. We identify the key characteristics of rules that are robust to model uncertainty: such rules respond to the one- year-ahead inflation forecast and to the current output gap and incorporate a substantial degree of policy inertia. In contrast, rules with longer forecast horizons are less robust and are prone to generating indeterminacy. Finally, we identify a robust benchmark rule that performs very well in all five models over a wide range of policy preferences.

A Practitioner's Guide to Robust Covariance Matrix Estimation

This paper develops asymptotic distribution theory for generalized method of moments (GMM) estimators and test statistics when some of the parameters are well identified, but others are poorly identified because of weak instruments. The asymptotic theory entails applying empirical process theory to obtain a limiting representation of the (concentrated) objective function as a stochastic process. The general results are specialized to two leading cases, linear instrumental variables regression and GMM estimation of Euler equations obtained from the consumption-based capital asset pricing model with power utility. Numerical results of the latter model confirm that finite sample distributions can deviate substantially from normality, and indicate that these deviations are captured by the weak instruments asymptotic approximations.

The Evolution of Macro Models at the Federal Reserve Board

Large-scale macroeconomic models have been used at the Federal Reserve Board for nearly 30 years. After briefly reviewing the first generation of Fed models, which were based on the IS/LM/Phillips curve paradigm, the paper describes the structure and properties of a new set of models. The new models are more explicit in their treatment of expectations formation and household and firm intertemporal decision making. The incorporation of more rigorous theoretical microfoundations is accomplished while maintaining a high standard of goodness of fit. Simulations illustrate the effects of alternative assumptions about the formation of expectations and policy credibility on system properties.

Does Inflation Targeting Anchor Long-Run Inflation Expectations? Evidence from Long-Term Bond Yields in the U.S., U.K. and Sweden

We investigate the extent to which inflation targeting helps anchor long-run inflation expectations by comparing the behaviour of daily bond yield data in the United Kingdom and Sweden—both inflation targeters—to that in the United States, a non-inflation-targeter. Using the difference between far-ahead forward rates on nominal and inflation-indexed bonds as a measure of compensation for expected inflation and inflation risk at long horizons, we examine how much, if at all, far-ahead forward inflation compensation moves in response to macroeconomic data releases and monetary policy announcements. In the U.S., we find that forward inflation compensation exhibits highly significant responses to economic news. In the U.K., we find a level of sensitivity similar to that in the U.S. prior to the Bank of England gaining independence in 1997, but a striking absence of such sensitivity since the central bank became independent. In Sweden, we find that inflation compensation has been insensitive to economic news over the whole period for which we have data. We show that these observations are also matched by the relative means and volatilities of the time series of far-ahead forward inflation compensation in these three countries. Our findings support the view that a well-known and credible inflation target helps anchor the private sector’s views regarding the distribution of long-run inflation outcomes.

Identifying the influences of nominal and real rigidities in aggregate price-setting behavior

We formulate a generalized price-setting framework that incorporates staggered contracts of multiple durations and that enables us to directly identify the influences of nominal vs. real rigidities. Using German macroeconomic data over the period 1975Q1 through 1998Q4 toestimate this framework, we find that the data is well-characterized by a truncated Calvostyle distribution with an average duration of about two quarters. We also find that new contracts exhibit very low sensitivity to marginal cost, corresponding to a relatively high degree of real rigidity. Finally, our results indicate that backward-looking behavior is not needed to explain the aggregate data, at least in an environment with a stable monetary policy regime and a transparent and credible inflation objective. JEL Classification: E31, E52

The Magnitude and Cyclical Behavior of Financial Market Frictions

We quantify the cross-sectional and time-series behavior of the wedge between the cost of external and internal finance by estimating the structural parameters of a canonical debt-contracting model with informational frictions. For this purpose, we construct a new dataset that includes balance sheet information, measures of expected default risk, and credit spreads on publicly traded debt for about 900 U.S. firms over the period 1997Q1 to 2003Q3. Using nonlinear least squares, we obtain precise time-specific estimates of the bankruptcy cost parameter and consistently reject the null hypothesis of frictionless financial markets. For most of the firms in our sample, the estimated premium on external finance was very low during the expansionary period 1997-99, but rose sharply in 2000--especially for firms with higher ratios of debt to equity--and remained elevated until early 2003.

Optimal Monetary Policy with Durable and Non-durable Goods

The durable goods sector is much more interest sensitive than the non-durables sector, and these sectoral differences have important implications for monetary policy. In this paper, we perform VAR analysis of quarterly US data and find that a monetary policy innovation has a peak impact on durable expenditures that is roughly five times as large as its impact on non-durable expenditures. We then proceed to formulate and calibrate a two-sector dynamic general equilibrium model that roughly matches the impulse response functions of the data. While the social welfare function involves sector-specific output gaps and inflation rates, we find that performance of the optimal policy rule can be closely approximated by a very simple rule that targets a weighted average of aggregate wage and price inflation rates. In contrast, some commonly-prescribed policy rules (such as strict5 price inflation targeting and Taylors rule) perform very poorly in terms of social welfare. JEL Classification: E31, E32, E52

Patience, persistence, and welfare costs of incomplete markets in open economies

In this paper, we investigate the welfare implications of alternative financial market structures in a two-country endowment economy model. In particular, we obtain an analytic expression for the expected lifetime utility of the representative household when sovereign bonds are the only internationally traded asset, and we compare this welfare level with that obtained under complete asset markets. The welfare cost of incomplete markets is negligible if agents are very patient and shocks are not very persistent, but this cost is dramatically larger if agents are relatively impatient and shocks are highly persistent. For realistic cases in which agents are very patient and shocks are highly persistent (that is, the discount factor and the first-order autocorrelation are both near unity), the welfare cost of incomplete markets is highly sensitive to the specific values of these parameters. Finally, using a non-linear solution algorithm, we confirm that a two-country production economy with endogenous labor supply has qualitatively similar welfare properties.