The New Keynesian Phillips Curve and staggered price and wage determination in a model with firm-specific labor

We develop a DSGE model with firm-specific labor where wage and price setting are subject to Calvo-type staggering. This is in general an intractable problem due to complicated intertemporal dependencies between price and wage decisions. However, the problem is significantly simplified if we, in line with empirical evidence, assume that prices can be changed whenever wages are. We show that the price- and wage-setting relationships are substantially altered by the introduction of firm-specific labor. Specifically, the inflation response is substantially dampened, whereas the wage inflation response is increased as compared to models with freely mobile labor. These distinctive features of the model with firm-specific labor are supported by empirical evidence from a structural VAR.     

On the forecasting performance of a small-scale DSGE model

Dynamic stochastic general equilibrium (DSGE) models have recently become standard tools for policy analysis. Nevertheless, their forecasting properties have still barely been explored. In this article, we address this problem by examining the quality of forecasts of the key U.S. economic variables: the three-month Treasury bill yield, the GDP growth rate and GDP price index inflation, from a small-size DSGE model, trivariate vector autoregression (VAR) models and the Philadelphia Fed Survey of Professional Forecasters (SPF). The ex post forecast errors are evaluated on the basis of the data from the period 1994–2006. We apply the Philadelphia Fed “Real-Time Data Set for Macroeconomists” to ensure that the data used in estimating the DSGE and VAR models was comparable to the information available to the SPF.Overall, the results are mixed. When comparing the root mean squared errors for some forecast horizons, it appears that the DSGE model outperforms the other methods in forecasting the GDP growth rate. However, this characteristic turned out to be statistically insignificant. Most of the SPF's forecasts of GDP price index inflation and the short-term interest rate are better than those from the DSGE and VAR models.     

Evaluating Point and Density Forecasts of DSGE Models

This paper investigates the accuracy of forecasts from four dynamic stochastic general equilibrium (DSGE) models for inflation, output growth and the federal funds rate using a real‐time dataset synchronized with the Fed's Greenbook projections. Conditioning the model forecasts on the Greenbook nowcasts leads to forecasts that are as accurate as the Greenbook projections for output growth and the federal funds rate. Only for inflation are the model forecasts dominated by the Greenbook projections. A comparison with forecasts from Bayesian vector autoregressions shows that the economic structure of the DSGE models which is useful for the interpretation of forecasts does not lower the accuracy of forecasts. Combining forecasts of several DSGE models increases precision in comparison to individual model forecasts. Comparing density forecasts with the actual distribution of observations shows that DSGE models overestimate uncertainty around point forecasts. Copyright © 2013 John Wiley & Sons, Ltd.     

A New Keynesian model with staggered price and wage setting under learning

This paper provides a study of the implications for economic dynamics when the central bank sets its nominal interest rate target in response to variations in wage inflation. I provide results on the existence, uniqueness, and stability under learning of rational expectations equilibrium for alternative specifications of the manner in which monetary policy responds to economic shocks when nominal rigidities are present. Monopolistically competitive producers set prices via staggered price contracts, and households set nominal wages in the same fashion. In this setting, the conditions for determinacy and learnability of rational expectations equilibrium differ from a model where only prices are sticky. I find that when the central bank responds to wage and price inflation and to the output gap, a Taylor principle for wage and price inflation arises that is related to stability under learning dynamics. In other words, a moderate reaction of the interest rate to wage inflation helps to avoid instability under learning and indeterminacy.     

The London Business School with Gower Publishing: Forecast Release: EARNINGS AND UNEMPLOYMENT IN THE CAR INDUSTRY: THE BEST AND WORST OF BRITISH INDUSTRY

The Chancellor has described the cost in terms of lost output and higher unemployment of getting inflation down as ‘well worth paying’. Yet the trade-off so far is a miserable 1.25 per cent off the underlying rate of growth of earnings for an unemployment increase approaching 600,000, some 2–3 per cent off the underlying rate of inflation for a 3 per cent drop in GDP and a 7 per cent fall in manufacturing output. The question is clear: why is it that in the UK we seem to have to pay such a high price in terms of lost output and higher unemployment to make only modest progress on reducing wage and price inflation? One possible answer is in terms of the NAIRU; another stems from the way in which we measure retail price inflation. Using the example of the car industry as a backdrop, we examine the relationship between unemployment and inflation and ask whether there is a role for government to play in improving the trade-off. Our conclusion is that the present non-interventionist stance is probably appropriate but that the government should be doing more to educate both sides of the wage bargain - a challenge picked up by the Prime Minister in his recent speech to the CBI. This is especially appropriate at the present time, because price inflation is falling but wage inflation is lagging behind. It is not a cut in real wages that is required but an equi-proportionate deceleration in both wages and prices. By joining the ERM, we will ultimately obtain German rates of inflation; low wage settlements would both shorten the time-scale and reduce the unemployment cost of convergence.     

Testing Part of a DSGE Model by Indirect Inference

We propose a way of testing a subset of equations of a DSGE model. The test draws on statistical inference for limited information models and the use of indirect inference to test DSGE models. Using the numerical small sample distribution of our test for two subsets of equations of the Smets–Wouters model we show that the test has accurate size and good power in small samples, and better power than using asymptotic distribution theory. In a test of the Smets–Wouters model on US Great Moderation data, we reject the specification of the wage‐price but not the expenditure sector. This points to the wage‐price sector as the source of overall model rejection.     

Evaluating DSGE model forecasts of comovements

This paper develops and applies tools to assess multivariate aspects of Bayesian Dynamic Stochastic General Equilibrium (DSGE) model forecasts and their ability to predict comovements among key macroeconomic variables. We construct posterior predictive checks to evaluate conditional and unconditional density forecasts, in addition to checks for root-mean-squared errors and event probabilities associated with these forecasts. The checks are implemented on a three-equation DSGE model as well as the Smets and Wouters (2007) model using real-time data. We find that the additional features incorporated into the Smets–Wouters model do not lead to a uniform improvement in the quality of density forecasts and prediction of comovements of output, inflation, and interest rates.     

Testing the Structural Interpretation of the Price Puzzle with a Cost‐Channel Model*

We estimate a variety of small‐scale new‐Keynesian DSGE models with the cost channel to assess their ability to replicate the ‘price puzzle’, i.e. the inflationary impact of a monetary policy shock typically arising in vector autoregression (VAR) analysis. To correctly identify the monetary policy shock, we distinguish between a standard policy rate shifter and a shock to ‘trend inflation’, i.e. the time‐varying inflation target set by the Fed. Our estimated models predict a negative inflation reaction to a monetary policy tightening. We offer a discussion of the possible sources of mismatch between the VAR evidence and our own.     

The Incremental Predictive Information Associated with Using Theoretical New Keynesian DSGE Models vs. Simple Linear Econometric Models*

In this paper we construct output gap and inflation predictions using a variety of dynamic stochastic general equilibrium (DSGE) sticky price models. Predictive density accuracy tests related to the test discussed in Corradi and Swanson [Journal of Econometrics (2005a), forthcoming] as well as predictive accuracy tests due to Diebold and Mariano [Journal of Business and Economic Statistics (1995) , Vol. 13, pp. 253–263]; and West [Econometrica (1996) , Vol. 64, pp. 1067–1084] are used to compare the alternative models. A number of simple time‐series prediction models (such as autoregressive and vector autoregressive (VAR) models) are additionally used as strawman models. Given that DSGE model restrictions are routinely nested within VAR models, the addition of our strawman models allows us to indirectly assess the usefulness of imposing theoretical restrictions implied by DSGE models on unrestricted econometric models. With respect to predictive density evaluation, our results suggest that the standard sticky price model discussed in Calvo [Journal of Monetary Economics (1983), Vol. XII, pp. 383–398] is not outperformed by the same model augmented either with information or indexation, when used to predict the output gap. On the other hand, there are clear gains to using the more recent models when predicting inflation. Results based on mean square forecast error analysis are less clear‐cut, although the standard sticky price model fares best at our longest forecast horizon of 3 years, it performs relatively poorly at shorter horizons. When the strawman time‐series models are added to the picture, we find that the DSGE models still fare very well, often outperforming our forecast competitions, suggesting that theoretical macroeconomic restrictions yield useful additional information for forming macroeconomic forecasts.     

A time-varying volatility approach to modeling the phillips curve: A cross-country analysis

This research examines the Phillips curve price adjustment mechanism allowing for the conditional variance of inflation to be time varying. Specifically, we estimate ARCH and GARCH models of inflation for Canada, Japan, and the U.K. The results suggest that an increase in the conditional variability of inflation leads to higher levels of inflation. In addition, inclusion of inflation variability in the Phillips curve model results in a higher weight being attributed to the output gap than in traditional models. (JEF E24)     

Inflation Uncertainty, Output Growth Uncertainty and Macroeconomic Performance

We use a bivariate generalized autoregressive conditionally heteroskedastic (GARCH) model of inflation and output growth to examine the causality relationship among nominal uncertainty, real uncertainty and macroeconomic performance measured by the inflation and output growth rates. The application of the constant conditional correlation GARCH(1,1) model leads to a number of interesting conclusions. First, inflation does cause negative welfare effects, both directly and indirectly, i.e. via the inflation uncertainty channel. Secondly, in some countries, more inflation uncertainty provides an incentive to Central Banks to surprise the public by raising inflation unexpectedly. Thirdly, in contrast to the assumptions of some macroeconomic models, business cycle variability and the rate of economic growth are related. More variability in the business cycle leads to more output growth.     

THE REAL WAGE GAP

Over the past year a gap has opened up between the growth of manufacturing productivity and that of real wages. This gap cannot persist indefinitely, but it can be closed in many different ways. The best that can happen is that wage settlements fall while output and productivity accelerate. The worst outcome would be continued stagnation of real output and no deceleration of wages, in which case the required productivity improvement would have to come about through renewed labour shedding. There are worrying signs that this has started to happen. An intermediate solution might involve a fall in the exchange rate, with some improvement in competitiveness boosting real output (so that UK producers get a larger share of buoyant consumer spending) and some rise in prices holding back real wages.
We continue to believe that the most likely outcome is a rise in output and a fall in the rate of wage settlements. In our June forecast this occurs despite a fall in the real exchange rate. In these circumstances we expect the growth of unit labour costs to fall back from its current high level so that the current 3 per cent inflation rate becomes a true "core" rate. But a moderate fall in the real exchange rate may prove hard to achieve, especially if the oil price continues to weaken. We therefore explore what would happen if the required depreciation happens more rapidly, so that interest rates have to remain high to prevent it getting out of control. In this case we would expect lower growth and higher inflation than we forecast in June.     

ELUSIVE PERSISTENCE: WAGE AND PRICE RIGIDITIES,THE NEW KEYNESIAN PHILLIPS CURVE AND INFLATION DYNAMICS

Abstract We review the main New Keynesian inflation equations that have arisen as a result of aggregation from individual firms' price rigidities. We find that, on the whole, they cannot account for inflation persistence, a key feature of the empirical dynamics of inflation, and with important policy implications. The only exceptions seem to be when indexation is allowed in price setting or when price stickiness is combined with wage rigidity and staggering.     

Forecasting UK GDP growth and inflation under structural change. A comparison of models with time-varying parameters

Evidence from a large and growing body of empirical literature strongly suggests that there have been changes in the inflation and output dynamics in the United Kingdom. The majority of these papers base their results on a class of econometric models that allows for time-variation in the coefficients and volatilities of shocks. While these models have been used extensively for studying evolving dynamics and for structural analysis, there has been little evidence that they are useful for forecasting UK output growth and inflation. This paper attempts to fill this gap by comparing the performances of a wide range of time-varying parameter models in forecasting output growth and inflation. We find that allowing for time-varying parameters can lead to large and statistically significant gains in forecast accuracy.     

Monetary policy in open economies: Practical perspectives for pragmatic central bankers

This paper reviews and interprets some of the key policy implications that flow from a class of DSGE models for optimal monetary policy in the open economy. The framework suggests that good macroeconomic outcomes in open economies are possible by focusing inflation targeting that is implemented by a Taylor type rule, a rule that in equilibrium is reflected in the exchange rate as an asset price. Optimal monetary policy will not be able deliver a stationary (‘stable’) nominal exchange rate – let alone a fixed exchange rate or one that remains inside a target zone – because, absent a commitment device, optimal monetary can’t deliver a stationary domestic price level. Another feature in the data for inflation targeting countries that is consistent with monetary policy via Taylor type rule is that it will tend push the nominal exchange rate in the opposite direction from PPP in response to an ‘inflation’ shock—the ‘bad news god news’ result of Clarida and Waldman (2008. Is Bad News about Inflation Good News for the Exchange Rate. In: John Campbell, (Ed.), Asset Prices and Monetary Policy, Chicago: University of Chicago Press), Clarida and Waldman (2014. Bad News About Inflation is Good News for the Nominal Exchange Rate Under Optimal Monetary Policy: DSGE Theory and a Decade of Empirical Evidence). This is so even though in the long run of these models the nominal exchange rate must in expectation obey PPP.     

On the desirability of nominal GDP targeting

This paper evaluates the welfare properties of nominal GDP targeting in the context of a New Keynesian model with both price and wage rigidity. In particular, we compare nominal GDP targeting to inflation and output gap targeting as well as to a conventional Taylor rule. These comparisons are made on the basis of welfare losses relative to a hypothetical equilibrium with flexible prices and wages. Output gap targeting is the most desirable of the rules under consideration, but nominal GDP targeting performs almost as well. Nominal GDP targeting is associated with smaller welfare losses than a Taylor rule and significantly outperforms inflation targeting. Relative to inflation targeting and a Taylor rule, nominal GDP targeting performs best conditional on supply shocks and when wages are sticky relative to prices. Nominal GDP targeting may outperform output gap targeting if the gap is observed with noise, and has more desirable properties related to equilibrium determinacy than does gap targeting.     

The Outlook for Wages

Price inflation is on the way down The most dramatic evidence of this is the fall in retail price inflation as the VAT effect comes out of the index. But as the Charts overleaf show, there are clear signs of a fall in inflation rates in wholesale output prices and, more strikingly still, in manufacturers' input prices.
This may be good news for consumers, but so far any reduction in inflation has been chiefly at the expense of profit margins as price rises have fallen below the increase in wage costs. The question for the immediate future is whether the fall in price inflation will now lead to a fall in wage inflation     

Euro area real-time density forecasting with financial or labor market frictions

We compare real-time density forecasts for the euro area using three DSGE models. The benchmark is the Smets and Wouters model, and its forecasts of real GDP growth and inflation are compared with those from two extensions. The first adds financial frictions and expands the observables to include a measure of the external finance premium. The second allows for the extensive labor-market margin and adds the unemployment rate to the observables. The main question that we address is whether these extensions improve the density forecasts of real GDP and inflation and their joint forecasts up to an eight-quarter horizon. We find that adding financial frictions leads to a deterioration in the forecasts, with the exception of longer-term inflation forecasts and the period around the Great Recession. The labor market extension improves the medium- to longer-term real GDP growth and shorter- to medium-term inflation forecasts weakly compared with the benchmark model.     

Evaluating predictive densities of US output growth and inflation in a large macroeconomic data set

We evaluate conditional predictive densities for US output growth and inflation using a number of commonly-used forecasting models that rely on large numbers of macroeconomic predictors. More specifically, we evaluate how well conditional predictive densities based on the commonly-used normality assumption fit actual realizations out-of-sample. Our focus on predictive densities acknowledges the possibility that, although some predictors can cause point forecasts to either improve or deteriorate, they might have the opposite effect on higher moments. We find that normality is rejected for most models in some dimension according to at least one of the tests we use. Interestingly, however, combinations of predictive densities appear to be approximated correctly by a normal density: the simple, equal average when predicting output growth, and the Bayesian model average when predicting inflation.     

Calvo vs. Rotemberg in a trend inflation world: An empirical investigation

This paper estimates and compares New-Keynesian DSGE monetary models of the business cycle derived under two different pricing schemes—Calvo (1983) and Rotemberg (1982)—under a positive trend inflation rate. Our empirical findings (i) support trend inflation as an empirically relevant feature of the U.S. great moderation; (ii) provide evidence in favor of the statistical superiority of the Calvo setting; (iii) point to a substantially lower degree of price indexation under Calvo. We show that the superiority of the Calvo model is due to the restrictions imposed by such a pricing scheme on the aggregate demand equation.