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.     

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.     

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 Role of Real Wage Rigidity and Labor Market Frictions for Inflation Persistence

We analyze the transmission mechanism of wages to inflation within a New Keynesian business cycle model with wage rigidities and labor market frictions. Our main focus is on the channel of real wage rigidities on inflation persistence for which we find the specification of the wage bargaining process to be of crucial importance. Under the standard efficient Nash bargaining, the feedback of wage rigidities on inflation is ambiguous and depends on other labor market variables. However, under the alternative right‐to‐manage bargaining we find that more rigid wages translate directly into more persistent movements of aggregate inflation.     

Monetary shocks and sticky wages in the U.S. great contraction: A multi-sector approach

We quantify the role of contractionary monetary shocks and nominal wage rigidities in the U.S. Great Contraction. In contrast to conventional wisdom, we find little increase in the economy-wide real wage over 1929–33, although real wages rose significantly in some industries. In the context of a two-sector model with intermediates and nominal wage rigidities in one sector, contractionary monetary shocks account for only a third of the fall in GDP. Intermediate linkages play an important role, as the output decline without intermediates is almost a third larger at the trough. The role of nominal wage rigidities beyond their interaction with monetary shocks is limited.     

Asymmetric Labor Market Institutions in the EMU and the Volatility of Inflation and Unemployment Differentials

How does the asymmetry of labor market institutions affect the adjustment of a currency union to shocks? To answer this question, this paper sets up a dynamic currency union model with monopolistic competition and sticky prices, hiring frictions, and real wage rigidities. In our analysis, we focus on the differentials in inflation and unemployment between countries, as they directly reflect how the currency union responds to shocks. We highlight the following three results. First, we show that it is important to distinguish between different labor market rigidities as they have opposite effects on inflation and unemployment differentials. Second, we find that asymmetries in labor market structures tend to increase the volatility of both inflation and unemployment differentials. Finally, we show that it is important to take into account the interaction between different types of labor market rigidities. Overall, our results suggest that asymmetries in labor market structures worsen the adjustment of a currency union to shocks.     

Downward Nominal Wage Rigidities Bend the Phillips Curve

We introduce a model of monetary policy with downward nominal wage rigidities and show that both the slope and curvature of the Phillips curve depend on the level of inflation and the extent of downward nominal wage rigidities. This is true for the both the long‐run and the short‐run Phillips curve. Comparing simulation results from the model with data on U.S. wage patterns, we show that downward nominal wage rigidities likely have played a role in shaping the dynamics of unemployment and wage growth during the last three recessions and subsequent recoveries.     

Downward wage rigidity and business cycle asymmetries

The growth rates of wages, unemployment and output of a number of OECD countries have a strongly skewed distribution. In this paper we analyze to what extent downward wage rigidities can explain these empirical business cycle asymmetries. To this aim, we introduce asymmetric wage adjustment costs in a New-Keynesian DSGE model with search and matching frictions in the labor market. Increasing wages is less costly than cutting them. It follows that wages increase relatively fast and thus limit vacancy posting and employment creation, but they decline more slowly, leading to a strong reduction in vacancies and employment. The presence of downward wage rigidities strongly improves the fit of the model to the observed skewness of labor market variables and the relative length of expansions and contractions in the output and the employment cycles. The asymmetry also explains the differing transmission of positive and negative monetary policy shocks from wages to inflation.     

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.     

Sticky Price Models,Durable Goods,and Real Wage Rigidities

The standard two‐sector New Keynesian model with durable goods is at odds with conventional wisdom and vector autoregression (VAR) evidence: Following a monetary shock, the model generates (i) either negative or no comovement across sectoral outputs and (ii) aggregate neutrality of money when durable goods' prices are flexible. We reconcile theory with evidence by incorporating real wage rigidities into the standard model: As long as durable goods' prices are more flexible than nondurable goods' prices, we obtain positive sectoral comovement and, thus, aggregate nonneutrality of money.     

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.     

Real price and wage rigidities with matching frictions

Frictional unemployment means that workers, for some time, are a firm-specific factor of production. This paper models the resulting interaction of wage bargaining and price setting at the firm level in a New Keynesian model with labor market matching frictions. Real rigidities arise and the labor share ceases to be a good proxy for marginal costs. The model replicates the impulse responses of an SVAR for U.S. data better than alternatives in which the real rigidities arising at the firm level are absent. In addition, it implies reasonably low degrees of nominal rigidity whereas the alternatives do not. The interaction of wage and price setting at the firm level is important for the macroeconomic dynamics.     

Inflation targeting: What inflation rate to target?

In an economy with nominal rigidities in both an intermediate good sector and a finished good sector, and thus with a natural distinction between CPI and PPI inflation rates, a benevolent central bank faces a tradeoff between stabilizing the two measures of inflation, a final output gap and, unique to our model, a real marginal cost gap in the intermediate sector, so that optimal monetary policy is second-best. We discuss how to implement the optimal policy with minimal information requirement and evaluate the robustness of these simple rules when the central bank may not know the exact sources of shocks or nominal rigidities. A main finding is that a simple hybrid rule under which the short-term interest rate responds to CPI inflation and PPI inflation results in a welfare level close to the optimum, whereas policy rules that ignore PPI inflation or PPI sector shocks can result in significant welfare losses.     

Wage indexation: A macroeconomic approach

This essay examines the role of wage indexation in dampening macroeconomic fluctuations in a simple neoclassical model modified to incorporate short-term wage rigidities and uncertainty. The analysis departs from most of the previous literature on indexing in its explicit consideration of real disturbances. It is found that while indexing insulates the real sector from the effects of monetary shocks, it may exacerbate the real effects of real shocks. Thus the analysis suggests an optimal degree of partial indexation that depends on the underlying stochastic structure of the economy. Consequently, optimal indexing will not, in general, insulate the real sector from monetary variability.     

Trade openness and inflation: The role of real and nominal price rigidities

The paper revisits the long-standing question of the impact of trade openness on the inflation–output trade-off by accounting for the effects of product market competition on price flexibility. The study develops a New-Keynesian open-economy dynamic stochastic general equilibrium model with non-constant price elasticity of demand and Calvo price setting in which the frequency of price adjustment is endogenously determined. It demonstrates that trade openness has two opposing effects on the sensitivity of inflation to output fluctuations. On the one hand, it raises strategic complementarity in firms' pricing decisions and the degree of real price rigidities, which makes inflation less responsive to changes in real marginal cost. On the other hand, it strengthens firms' incentives to adjust their prices, thereby reducing the degree of nominal price rigidities and increasing the sensitivity of inflation to changes in marginal cost. The study explains the positive relationship between competition and the frequency of price adjustment observed in the data. It also provides new insights into the effects of global economic integration on the Phillips Curve.     

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.     

Equilibrium Unemployment, Job Flows, and Inflation Dynamics

In order to explain the joint fluctuations of output, inflation and the labor market, this paper develops and estimates a general equilibrium model that integrates a theory of equilibrium unemployment into a monetary model with nominal price rigidities. The estimated model accounts for the responses of employment, hours per worker, job creation, and job destruction to a monetary policy shock. Moreover, search frictions in the labor market generate a lower elasticity of marginal costs with respect to output. This helps to explain the sluggishness of inflation and the persistence of output that are observed in the data.     

Search Frictions,Real Rigidities,and Inflation Dynamics

The literature on New Keynesian models with search frictions in the labor market commonly assumes that price setters are not actually subject to such frictions. Here, I propose a model where firms are subject both to infrequent price adjustment and search frictions. This interaction gives rise to real price rigidities, which have the effect of slowing down the adjustment of the price level to shocks. This has a number of consequences for equilibrium dynamics. First, inflation becomes less volatile and more persistent. More importantly, the model’s empirical performance improves along its labor market dimensions, such as the size of unemployment fluctuations and the relative volatility of the two margins of labor.     

Nominal rigidities,asset returns,and monetary policy

Asset-return implications of nominal price and wage rigidities are analyzed in general equilibrium. Nominal rigidities, combined with permanent productivity shocks, increase expected excess returns on production claims. This is mainly explained by consumption dynamics driven by rigidity-induced changes in employment and markups. An interest-rate monetary policy rule affects asset returns. Stronger (weaker) rule responses to inflation (output) increase expected excess returns. Policy shocks substantially increase asset-return volatility. Price rigidity heterogeneity produces cross-sectoral differences in expected returns. The model matches important macroeconomic moments and the Sharpe ratio of stock returns, but only captures a small fraction of the observed equity premium.