Steady-state equilibrium with state-dependent pricing

State-dependent pricing models are now an operational framework for quantitative business cycle analysis. The analysis in Ball and Romer [1991. Sticky prices as coordination failure. American Economic Review 81 (3), 539-552], however, suggests that such models may be rife with multiple equilibria, for in their static model, price adjustment is always characterized by complementarity, a necessary condition for multiplicity. We study existence and uniqueness of steady-state equilibrium in a discrete-time state-dependent pricing model. We find only weak complementarity and no evidence of multiplicity. However, nonexistence of symmetric steady-state equilibrium with pure strategies arises in the region of the parameter space between flexible and sticky prices.     

New measures of the output gap based on the forward-looking new Keynesian Phillips curve

Forward-looking versions of the New Keynesian Phillips curve imply that the output gap, the deviation of the actual output from its natural level due to nominal rigidities, drives the dynamics of inflation relative to expected inflation. We exploit this to set up a bivariate unobserved component model for extracting new estimates of the output gap in the US. The gap estimates are large and persistent even after allowing for correlated trend and cycle shock. We then augment our model to use the information in the unemployment rate. The estimates confirm the presence of a large and persistent cyclical component.     

New tests of the new-Keynesian Phillips curve

Lagged dependent variables typically play an important role in empirical models of inflation. Do these lags reflect backward-looking inflation expectations, or do they proxy for rational forward-looking expectations, as in the new-Keynesian Phillips curve? Galí and Gertler [1999. Inflation dynamics: a structural econometric analysis. Journal of Monetary Economics 44, 195-222] attempt to answer this question using GMM to estimate specifications incorporating both lagged and future inflation. They report small coefficients on lagged inflation and conclude that the new-Keynesian model provides a good first approximation to inflation dynamics. We show that these tests have low power against alternative backward-looking specifications, and demonstrate that their results are also consistent with a backward-looking Phillips curve. Using an alternative approach, we find that the new-Keynesian pricing model cannot explain the importance of lagged inflation in standard inflation regressions, and find that forward-looking terms play a very limited role in explaining inflation dynamics.     

Deep Habits in the New Keynesian Phillips Curve

We derive and estimate a New Keynesian Phillips Curve (NKPC) in a model with deep habits. Habits are deep in that they apply to individual consumption goods instead of aggregate consumption. This alters the NKPC in a fundamental manner since it introduces consumption growth and future demand terms into the NKPC equation. We construct the driving process in the deep habits NKPC by using the model's optimality conditions to impute time series for unobservable variables. The resulting series is considerably more volatile than unit labor cost. Generalized methods of moments estimation shows an improved fit and a much lower degree of indexation compared to the standard NKPC.     

A structural decomposition of the US yield curve

By expanding the macro part of macro-finance models, historical fluctuations in US bond yields turn out to be largely consistent with the rational expectations hypothesis. We estimate a medium-scale macro-finance DSGE model of the term structure to establish this. Our finding contrasts with existing macro-finance models and suggests that their—small-scale or non-structural—perspective on the macroeconomy mutes expectations, thereby underestimating the expectations hypothesis’ potential. Out-of-sample forecasts are competitive with more flexible term structure models. Given the empirical validation, we interpret various episodes through the lens of the model and investigate which structural shocks cause the yield curve to contain information about future growth.     

The price and quantity of residential land in the United States

One can conceptualize a house as a bundle comprising a reproducible tangible structure and a non-reproducible plot of land. When the value of a home is decomposed this way, land capitalizes the market value of a home's location. We develop a formal relationship between the dynamics of house prices, structures costs and land prices, and thereby construct the first constant-quality price and quantity indexes for the aggregate stock of residential land in the United States. In a range of applications we show that these series can shed light on trends, fluctuations and regional variation in the price of housing.     

International price dispersion in state-dependent pricing models

Menu-cost models predict a hump-shaped relationship between real and nominal exchange rate volatility. The hump occurs at higher values of nominal exchange rate volatility, the higher trade costs and lower international substitution elasticities are. These predictions accord well with the negative relationship between relative price and nominal exchange rate volatility I document using a data set of prices collected in Eastern Europe in a volatile environment. In contrast, trade costs must be sufficiently high or international substitution elasticities low in order for the model to account for the positive correlation between real and nominal exchange rate volatility in the aggregate data.     

Distributional dynamics under smoothly state-dependent pricing

Starting from the assumption that firms are more likely to adjust their prices when doing so is more valuable, this paper analyzes monetary policy shocks in a DSGE model with firm-level heterogeneity. The model is calibrated to retail price microdata, and inflation responses are decomposed into “intensive”, “extensive”, and “selection” margins. Money growth and Taylor rule shocks both have nontrivial real effects, because the low state dependence implied by the data rules out the strong selection effect associated with fixed menu costs. The response to sector-specific shocks is gradual, but inappropriate econometrics might make it appear immediate.     

Do expected future marginal costs drive inflation dynamics?

This article discusses a more general interpretation of the two-step minimum distance estimation procedure proposed in Sbordone (2002). The estimator is again applied to a version of the New Keynesian Phillips curve, where inflation dynamics are driven by the expected evolution of marginal costs. The article clarifies econometric issues, addresses concerns about uncertainty and model misspecification raised in recent studies, and assesses the robustness of previous results. While confirming the importance of forward-looking terms in accounting for inflation dynamics, it suggests how the methodology can be applied to extend the analysis of inflation to a multivariate setting.     

Estimation of the equilibrium exchange rate: The CHEER approach

The paper presents the results of an investigation where the concept of a steady-state level of the exchange rate is equated with the capital market equilibrium based on the CHEER approach. The empirical analysis concentrates on Poland, because in this case the assessment of the equilibrium exchange rate is of vital importance. The prospect of the Polish currency joining the ERM2 provokes controversies and requires research into the economic consequences of accession to the EMU. The international transmission mechanisms affecting the Polish economy are identified within the VEqCM framework. The calculations indicate that in the last years of the analyzed sample (i.e. up to December 2006) the zloty/euro exchange rate was slightly overvalued, and the steady-state level was found to have been adjusting to the value of 4.1 zlotys.     

Price level convergence and regional Phillips curves in the US and EMU

We use panel estimates of regional Phillips curves of the hybrid New Keynesian type to study price level convergence within the US and EMU. Regional inflation rates tend to eliminate PPP deviations in both monetary unions, with average half-lives around 3½ years. The start of EMU did not greatly affect PPP reversion in the euro area. Where changes in nominal exchange rates accounted for the bulk of the adjustment process before 1999, this role was largely taken over by regional inflation differences since. Notwithstanding clear evidence of forward-lookingness in the US, inflation persistence is substantial in both monetary unions.     

Monetary policy regimes: Implications for the yield curve and bond pricing

We develop a multivariate dynamic term structure model, which takes into account the nonlinear (time-varying) relation between interest rates and the state of the economy. In contrast to the classical term structure literature, in which nonlinearities are captured by increasing the number of latent state variables or by latent regime shifts, in our no-arbitrage framework the regimes are governed by thresholds and are directly linked to economic fundamentals. Specifically, starting from a simple monetary policy model for the short rate, we introduce a parsimonious and tractable model for the yield curve, which takes into account the possibility of regime shifts in the behavior of the Federal Reserve. In our empirical analysis, we show the merit of our approach three dimensions: interpretable bond dynamics, accurate short end yield curve pricing, and yield curve implications.     

Monetary policy, taxes, and the business cycle

This paper analyzes the interaction of inflation with the tax code and its contribution to aggregate fluctuations. We find significant effects operating through the tax on realized nominal capital gains. A tax on nominal bond income magnifies these effects. Our innovation is to combine monetary policy shocks with non-indexed taxes in a model where the central bank implements policy using an interest rate rule. Monetary policy had important effects on the behavior of the business cycle before 1980 because policymakers did not exert effective control over inflation. Monetary policy reform around 1980 led to better control, and with more stable inflation, the effect of the interaction between monetary policy and the nominal capital gains tax has become negligible.     

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.     

Convergence of Euro area inflation rates

We study the behavior of inflation rates among the 12 initial Euro countries in order to test whether and when the group convergence initially dictated by the Maastricht treaty and now by the ECB, occurs. We also assess the impact of events such as the advent of the Euro and the 2008 financial crisis. Due to the small size of the estimation sample, we propose a new procedure that increases the power of panel unit root tests when used to study group-wise convergence. Applying this new procedure to Euro area inflation, we find strong and lasting evidence of convergence among the inflation rates soon after the implementation of the Maastricht treaty and a dramatic decrease in the persistence of the differential after the occurrence of the single currency. After the 2008 crisis, Euro area inflation rates follow the ECB's price stability benchmark, although Greece reports relatively higher inflation.     

When do firms adjust prices? Evidence from micro panel data

The price-setting behavior of manufacturing firms is examined using a large panel of quarterly firm survey data from 1984 to 2007, which allows changes in firms’ prices to be linked to several firm-specific variables. The results show that state-dependent pricing is clearly present in a low-inflation environment and that variables measuring the current situation of the firm, especially costs for intermediate products, are important determinants of price adjustments. Compared to purely time-dependent features, the state-dependent variables significantly add to the explanatory power of a price adjustment probability model. Macroeconomic factors are significant but contribute little in terms of the goodness of fit. Furthermore, when taking into account sticky plan models by excluding possibly predetermined price changes, the importance of state-dependent factors becomes even greater.