Trend inflation, wage and price rigidities, and productivity growth

What are the steady-state implications of inflation in a general-equilibrium model with real per capita output growth and staggered nominal price and wage contracts? Surprisingly, a benchmark calibration implies an optimal inflation rate of -1.9 percent. The analysis also shows that trend inflation has important effects on the economy when combined with nominal contracts and real output growth. Steady-state output and welfare losses are quantitatively important even for low values of trend inflation. Further, nominal wage contracting is found to be quantitatively more important than nominal price contracting in generating the results. This conclusion does not arise from price dispersion per se, but from an effect of nominal output growth on the optimal markup of monopolistically competitive labour suppliers. Finally, accounting for productivity growth is found to be important for calculating the welfare costs of inflation. Indeed, the presence of 2 percent productivity growth increases the welfare costs of inflation in the benchmark specification by a factor of four relative to the no-growth case.     

Monetary Policy,Trend Inflation,and Unemployment Volatility

The literature has long agreed that the DMP model (after Diamond 1982, Mortensen 1982, Pissarides 1985) with search and matching frictions in the labor market can deliver large volatilities in labor market quantities, consistent with empirical data, only if there is at least some wage stickiness. I show, however, that the model can deliver nontrivial volatilities without wage stickiness, as long as it has price dispersion and nonzero long‐run inflation rates. I find that by keeping inflation at a positive rate, monetary policy may be accountable for the large standard deviations observed on labor market variables. In addition, the Shimer (2005) puzzle disappears under monetary policy shocks.     

The Passthrough of Labor Costs to Price Inflation

We use a time‐varying parameter/stochastic volatility VAR framework to assess how the passthrough of labor costs to price inflation has evolved over time in U.S. data. We find little evidence that independent movements in labor costs have had a material effect on price inflation in recent years, even for compensation measures where some degree of passthrough to prices still appears to be present. Our results cast doubt on explanations of recent inflation behavior that appeal to such mechanisms as downward nominal wage rigidity or a differential contribution of long‐term and short‐term unemployed workers to wage and price pressures.     

How Do Nominal and Real Rigidities Interact? A Tale of the Second Best

This paper analyzes the importance of real wage rigidities, in particular through their interaction with price stickiness, in a New Keynesian model. Real wage rigidities result from a combination of staggered wage setting and partial indexation of nonreset wages to past inflation. Blanchard and Galí (2007) show real rigidities to introduce a trade‐off between stabilizing inflation and the welfare‐relevant output gap. The present paper complements their findings by showing that the welfare costs of real rigidities can be substantial compared to nominal frictions. In a typical “tale of the second best,” we also show that in the presence of real wage rigidities, higher price stickiness can be welfare enhancing.     

Technology shocks and labor market dynamics: Some evidence and theory

A positive technology shock may lead to a rise or a fall in per capita hours, depending on how hours enter the empirical VAR model. We provide evidence that, independent of how hours enter the VAR, a positive technology shock leads to a weak response in nominal wage inflation, a modest decline in price inflation, and a modest rise in the real wage in the short-run and a permanent rise in the long-run. We then examine the ability of several competing theories to account for this VAR evidence. Our preferred model features sticky prices, sticky nominal wages, and habit formation. The same model also does well in accounting for the labor market evidence in the post-Volcker period.     

The (ir)relevance of real wage rigidity in the New Keynesian model with search frictions

We develop a New Keynesian model with search and matching frictions in the labor market. We show that the model generates counterfactual labor market dynamics. In particular, it fails to generate the negative correlation between vacancies and unemployment in the data, i.e., the Beveridge curve. Introducing real wage rigidity leads to a negative correlation, and increases the magnitude of labor market flows to more realistic values. However, inflation dynamics are only weakly affected by real wage rigidity. The reason is that labor market frictions give rise to long-run employment relationships. The measure of real marginal costs that is relevant for inflation in the Phillips curve contains a present value component that varies independently of the real wage.     

Optimal monetary policy in a small open economy with staggered wage and price contracts

We study optimal monetary policy for a small open economy in a model where both domestic prices and wages are sticky due to staggered contracts. The simultaneous presence of the two forms of nominal rigidities introduces an additional trade-off between domestic inflation and the output gap. We derive a second-order approximation to the average welfare losses that can be expressed in terms of the unconditional variances of the output gap, domestic price inflation, and wage inflation. As a consequence, the optimal policy seeks to minimize a weighted average of these variances. We analyze welfare implications of several alternative simple policy rules, and find that domestic price inflation targeting generates relatively large welfare losses, whereas CPI inflation targeting performs nearly as well as the optimal rule.     

Downward Nominal Wage Rigidity and Inflation Dynamics during and after the Great Recession

In this paper, I develop a New Keynesian model that embeds heterogeneous workers with asymmetric wage adjustment costs to address two inflation puzzles: missing deflation during the Great Recession and the subsequent missing inflation. When the wage adjustment costs are estimated according to U.S. microwage data, downward nominal wage rigidity emerges, which flattens the observed price Phillips curve during and after recessions. Endogenous evolution of the cross-sectional wage distribution generates nonlinear dynamics including the sign, size, and state dependence. These nonlinearities enable the model to address the inflation puzzles as well as matching microevidence on wage adjustments.     

Real Wage Rigidities and the New Keynesian Model

Most central banks perceive a trade-off between stabilizing inflation and stabilizing the gap between output and desired output. However, the standard new Keynesian framework implies no such trade-off. In that framework, stabilizing inflation is equivalent to stabilizing the welfare-relevant output gap. In this paper, we argue that this property of the new Keynesian framework, which we call the divine coincidence , is due to a special feature of the model: the absence of nontrivial real imperfections. We focus on one such real imperfection, namely, real wage rigidities. When the baseline new Keynesian model is extended to allow for real wage rigidities, the divine coincidence disappears, and central banks indeed face a trade-off between stabilizing inflation and stabilizing the welfare-relevant output gap. We show that not only does the extended model have more realistic normative implications, but it also has appealing positive properties. In particular, it provides a natural interpretation for the dynamic inflation–unemployment relation found in the data.     

The case for inflation stability

We evaluate the case for inflation stabilization in a New Keynesian (NNS) model that includes various frictions, capital accumulation and a variety of shocks. In such a model, price rigidity may provide the monetary authorities with an opportunity to improve upon the inefficient flexible price equilibrium via the suitable cyclical manipulation of real marginal costs. We find that such an opportunity is of limited value and that a strong case for perfect inflation stabilization remains. Policies that tolerate a small amount of inflation variability may outperform perfect inflation targeting when capital adjustment costs are low and the monetary distortion is substantial but only if prices are very flexible.     

Comparing New Keynesian models of the business cycle: A Bayesian approach

The baseline New Keynesian model cannot replicate the observed persistence in inflation, output, and real wages for sensible parameter values. As a result, several extensions have been suggested to improve its fit to the data. We use a Bayesian approach to estimate and compare the baseline sticky price model of Calvo's [1983. Staggered prices in a utility maximizing framework. Journal of Monetary Economics 12, 383-398.] and three extensions. Our empirical results are as follows. First, we find that adding price indexation improves the fit of Calvo's [1983. Staggered prices in a utility maximizing framework. Journal of Monetary Economics 12, 383-398.] model. Second, models with both staggered price and wage setting dominate models with only price rigidities. Third, introducing wage indexation does not significantly improve the fit. Fourth, all model estimates suggest a high degree of price stickiness. Fifth, the estimates of labor supply elasticity are higher in models with both staggered price and wage contracts. Finally, the estimated inflation parameters of the Taylor rule are stable across models.     

Relative Prices as Aggregate Supply Shocks with Trend Inflation

Ball and Mankiw (1995) use a static menu-cost model to explain the historical behavior of the first and higher moments of commodity price changes in U.S. producer prices. We show that when appropriately modified for a world of positive trend inflation and forward-looking behavior by firms, the menu-cost model predicts a much weaker (possibly zero) correlation between the mean and the skewness of price changes than that found in the data.     

Optimal monetary policy with durable consumption goods

We document that the durable goods sector is much more interest-sensitive than the nondurables sector, and then investigate the implications of these sectoral differences for monetary policy. We formulate a two-sector general equilibrium model that is calibrated both to match the sectoral responses to a monetary shock derived from our empirical VAR and to imply an empirically realistic degree of sectoral output volatility and comovement. While the social welfare function involves sector-specific output gaps and inflation rates, the performance of the optimal policy rule can be closely approximated by a simple rule that targets a weighted average of aggregate wage and price inflation. In contrast, a rule that stabilizes a more narrow measure of final goods price inflation performs poorly in terms of social welfare.     

Disagreement and Biases in Inflation Expectations

Disagreement in inflation expectations observed from survey data varies systematically over time in a way that reflects the level and variance of current inflation. This paper offers a simple explanation for these facts based on asymmetries in the forecasters' costs of over- and underpredicting inflation. Our model implies (i) biased forecasts, (ii) positive serial correlation in forecast errors, (iii) a cross-sectional dispersion that rises with the level and the variance of the inflation rate, and (iv) predictability of forecast errors at different horizons by means of the spread between the short- and long-term variance of inflation. We find empirically that these patterns are present in inflation forecasts from the Survey of Professional Forecasters. A constant bias component, not explained by asymmetric loss and rational expectations, is required to explain the shift in the sign of the bias observed for a substantial portion of forecasters around 1982.     

Multiproduct firms and price-setting: Theory and evidence from U.S. producer prices

Using micro-data on U.S. producer prices, we establish three new facts about price setting by multi-product firms. First, firms selling more goods adjust prices more frequently but on average by smaller amounts. Moreover, their fraction of positive price changes is lower and the dispersion of price changes is higher. Second, price changes within firms are substantially synchronized, which plays a dominant role in explaining pricing dynamics. Third, firms selling more goods have greater within-firm synchronization of price changes. A model with trend inflation and firm-specific menu costs where firms are subject to idiosyncratic and aggregate shocks matches the empirical findings.     

Reconsidering the natural rate hypothesis in a New Keynesian framework

This paper formulates a stylized New Keynesian model in which each individual firm can select the frequency of its price adjustments. The endogeneity of contract duration has a dramatic impact on the magnitude of the aggregate effects of steady-state inflation. With a plausible calibration of the magnitude of menu costs and other structural parameters, this model predicts a relationship between steady-state inflation and the frequency of price adjustment that is reasonably close to the empirical findings of cross-country studies. Furthermore, at moderate inflation rates, steady-state inflation generates relative price distortions that have a non-trivial impact on aggregate output, but this impact wanes and eventually disappears at much higher annual inflation rates because the frequency of price adjustment approaches that of the flexible-price economy.     

The Time-Varying Phillips Correlation

We use complex demodulation techniques to investigate changes in the correlation between real activity and inflation at the business-cycle frequencies in the United States, the United Kingdom, the Eurozone, and 10 other Organization for Economic Cooperation and Development (OECD) countries over the post-WWII era. Consistent with the analysis of Ball, Mankiw, and Romer (1988) we document a positive correlation between the time-varying average gain of real activity onto inflation at the business-cycle frequencies and inflation's Hodrick-Prescott trend, which is compatible with New Keynesian theories emphasizing the link between trend inflation, the frequency of price adjustments, and the slope of the Phillips trade-off.     

Non-Atomistic Wage Setters and Monetary Policy in a New Keynesian Framework

This paper extends an otherwise standard New Keynesian (NK) model to allow for the presence of large wage setters. Building on monetary models from an earlier generation, I contribute to the NK literature by adding some new insight. It is shown that once the presence of large wage setters is taken into account, the degree of wage setting centralization and the aggressiveness of the central bank in stabilizing inflation jointly affect steady state employment. Because of this interaction, the benefits associated with inflation stabilization increase in the centralization of the wage bargaining process.     

Real Wage Rigidities and the New Keynesian Model

Most central banks perceive a trade‐off between stabilizing inflation and stabilizing the gap between output and desired output. However, the standard new Keynesian framework implies no such trade‐off. In that framework, stabilizing inflation is equivalent to stabilizing the welfare‐relevant output gap. In this paper, we argue that this property of the new Keynesian framework, which we call the divine coincidence, is due to a special feature of the model: the absence of nontrivial real imperfections. We focus on one such real imperfection, namely, real wage rigidities. When the baseline new Keynesian model is extended to allow for real wage rigidities, the divine coincidence disappears, and central banks indeed face a trade‐off between stabilizing inflation and stabilizing the welfare‐relevant output gap. We show that not only does the extended model have more realistic normative implications, but it also has appealing positive properties. In particular, it provides a natural interpretation for the dynamic inflation–unemployment relation found in the data.     

Resuscitating the wage channel in models with unemployment fluctuations

Higher wages all else equal translate into higher inflation. More rigid wages imply a weaker response of inflation to shocks. This view of the wage channel is deeply entrenched in central banks’ views and models of their economies. In this paper, we present a model with equilibrium unemployment which has three distinctive properties. First, using a search and matching model with right-to-manage wage bargaining a proper wage channel obtains. Second, accounting for fixed costs associated with maintaining an existing job greatly magnifies profit fluctuations for any given degree of wage fluctuations, which allows the model to reproduce the fluctuations of unemployment over the business cycle. And third, the model implies a reasonable elasticity of steady state unemployment with respect to changes in benefits. The calibration of the model implies low profits, but does not require a small gap between the value of working and the value of unemployment for the worker.