Habit formation in state-dependent pricing models: Implications for the dynamics of output and prices

This paper examines the role of habit formation in a standard state-dependent pricing (SDP) model. Incorporating habit formation helps the SDP model to generate hump-shaped and more persistent output responses under a monetary shock. More importantly, incorporating habit formation causes dramatic changes in firm-level pricing behaviors and, as a result, the aggregate price index.     

Relative importance of sticky prices and sticky information in price setting

The relative importance of price and information stickiness in price setting to model and explain inflation dynamics is investigated in this study. A structural model of inflation is developed and used which combines two different models of price setting behavior: the sticky price model of the New Keynesian literature and the sticky information model of Mankiw and Reis. In a framework similar to the Calvo model, I assume that there are two types of firms. One type of firm chooses its prices optimally through forward-looking behavior—as assumed in the sticky price model. It uses all available information when deciding on prices. The other type of firm sets its prices under the constraint that the information it uses is “sticky”—as assumed in the sticky information model. It collects and processes the information necessary to choose its optimal prices with a delay. This leads to the sticky price–sticky information (SP/SI) Phillips curve that nests the standard sticky price and sticky information models. Estimations of this structural model show that both sticky price and sticky information models are statistically and quantitatively important for price setting. However, the sticky price firms make up the majority of the firms in the economy. The results are robust to alternative sub-samples and estimation methods.     

Labor market search, sticky prices, and interest rate policies

What accounts for the significant real effects of monetary policy shocks? And what accounts for the persistent and hump shaped responses of output and inflation in response to such shocks? These questions are investigated in a model that incorporates labor market search, habit persistence, sticky prices, and policy inertia. While habit persistence and price stickiness are important for the hump shaped output response and the long, drawn out inflation response, respectively, labor market frictions increase the output response and reduce the inflation response relative to an otherwise similar model based on a Walrasian labor market. Significantly, policy inertia itself is found to be the most important factor in accounting for the magnitude of the output effects of policy shocks in the model.     

Output and price level effects of monetary uncertainty in a matching model

Monetary uncertainty and information lags are put into a random matching model so that the resulting setting has some meetings in which producers are relatively informed and others in which consumers are relatively informed.For that setting, the ex ante socially optimal way to conduct trade is characterized. The optimum can display a variety of relationships between money and total output and the price level. While the price level is always sticky, even the direction of its response and that of total output depend on the magnitude of the lag and on subtle features of the serial correlation properties of the money supply.     

Deep habits in consumption: a spatial panel analysis using scanner data

Using scanner data from a large European retailer, this paper empirically assesses deep habit formation in consumption. Deep habit formation constitutes a possible source of price stickiness and helps to mimic procyclical labour and real wage dynamics that are present in macrodata. To gauge the existence and the extent of deep habits in consumption, we estimate a dynamic time–space simultaneous model for consumption expenditure at different levels of product aggregation. This spatial panel model enables us to test for both internal and external deep habit formation at the same time. The former captures inertia or persistence in consumption and is included in the empirical specification as a time lag. The latter captures preference interdependence across households and is captured by a spatial lag. Our results show mixed evidence with respect to internal habit formation, whereas the external habit effect is almost always positive and significant.     

Can consumption habit spillovers be a source of equilibrium indeterminacy?

This paper investigates whether the external consumption habit can be a source of indeterminacy in a one-sector growth model when the labor supply is elastic. When there is a proper habit effect with a positive intertemporal elasticity of substitution, we find that the model exhibits indeterminacy if the coefficient of the habit formation is sufficiently large that allows for a substantial impact of current consumption on the habit. Indeterminacy arises even though the elasticity of the Frisch labor supply is positive and the elasticity of the labor demand in negative. In a calibrated version, we find that indeterminacy is empirically plausible when the habit effect is negative that features the “catching up with the Joneses” effect. Under given “catching up with the Joneses” effects, the external consumption habit can be a source of indeterminacy even if more than a half of the external consumption habit comes from past average consumption.     

Monetary Policy, Agency Costs and Output Dynamics

This paper examines the role of financial market imperfections for output reactions to nominal interest rate shocks. Empirical evidence shows a hump-shaped impulse response function of output and suggests that credit supply co-moves with output. A monetary business cycle model with staggered price setting is presented where the firms' outlays for capital and labor must be covered by the sum of net worth of entrepreneurs and loans in the form of debt contracts. These properties are shown to generate a hump-shaped impulse response of output, which takes on the smooth and persistent appearance of the empirical output response when nominal wages are set in a staggered way, too.     

Sticky prices and moderate inflation

Recent evidence shows that there is great heterogeneity in the price setting frequency across sectors, and that those changing prices frequently do so even under low inflation. What happens to price setting strategies of sticky price goods under moderate inflation? We built a dataset of monthly newspaper and magazine prices for Colombia, for the period 1960–2005, an exceptional example of prolonged moderate inflation. Within this macroeconomic scenario, and the novel database, we study the frequency of price adjustment, the relative importance of time- and state-dependent theories, and their evolution as inflation declined from moderate rates to single digits.     

Identifying monetary policy shocks with changes in open market operations

In this paper, we reexamine the effects of monetary policy shocks by exploiting the information contained in open market operations. A sticky price model is developed where money is the counterpart of securities deposited at the central bank. The model's solution reveals that a rise in central bank holdings of open market securities can be interpreted as a monetary expansion. Estimates of vector autoregressions for US data are further provided showing that reactions to an unanticipated rise in open market securities are consistent with common priors about a monetary expansion, i.e., a decline in the federal funds rate, a rise in output, and inertia in price responses. Compared to federal funds rate shocks, prices do not exhibit a puzzling behavior and a larger fraction of the GDP forecast error variance can be attributed to open market shocks. However, the explanatory power of the latter has decreased since federal funds rate targets have been announced.     

OPTIMAL MONETARY POLICY WITH THE STICKY INFORMATION MODEL OF PRICE ADJUSTMENT: INFLATION OR PRICE‐LEVEL TARGETING?

I investigate the optimal monetary policy in a New Keynesian macroeconomic framework with the sticky information model of price adjustment. The model is solved for optimal policy, and welfare implications of three alternative monetary policy regimes under this optimal policy are compared when there is a cost‐push shock to the economy. These monetary policy regimes are the unconstrained policy, price‐level targeting and inflation targeting regimes. The results illustrate that optimal policy depends on the degree of price stickiness and the persistence of the shock. Inflation targeting emerges as the optimal policy if prices are flexible enough or the shock is persistent enough. However, the unconstrained policy or price‐level targeting might be preferable to inflation targeting if prices are not very flexible and the shock is not very persistent. The results also show that as prices become more flexible, the welfare loss usually gets bigger.     

Foreign Money Shocks and the Welfare Performance of Alternative Monetary Policy Regimes*

The welfare properties of monetary policy regimes for a country subject to foreign money shocks are examined in a two‐country sticky‐price model. Money targeting is found to be welfare superior to a fixed exchange rate when the expenditure switching effect of exchange rate changes is relatively weak, but a fixed rate is superior when the expenditure switching effect is strong. However, price targeting is superior to both these regimes for all values of the expenditure switching effect. A welfare‐maximising monetary rule yields lower output and exchange rate volatility than price targeting for a wide range of parameter values.     

Firm-specific capital, nominal rigidities, and the Taylor principle

In the presence of firm-specific capital the Taylor principle can generate multiple equilibria. Sveen and Weinke [New perspectives on capital, sticky prices, and the Taylor principle, J. Econ. Theory 123 (2005) 21-39] obtain that result in the context of a Calvo-style sticky price model. One potential criticism is that the price stickiness which is needed for our theoretical result to be relevant from a practical point of view is somewhat to the high part of available empirical estimates. In the present paper we show that if nominal wages are not fully flexible (which is an uncontroversial empirical fact) then the Taylor principle fails already for some minor degree of price stickiness. We use our model to explain the consequences of both nominal rigidities for the desirability of alternative interest rate rules.     

Policy trade-off in the long run: A new Keynesian model with technological change and money growth

In this study, we introduce a constant rate of technological change and money growth into the standard new Keynesian model, in which both prices and nominal wages are supposed to be sticky. Using such a model, we examine whether a policy trade-off exists between curbing inflation and stabilizing the welfare-relevant output gap in the steady state. If we take only price stickiness into consideration, a policy trade-off does not occur. However, if both nominal wage stickiness and price stickiness are taken into consideration, a policy trade-off occurs.     

Fair wages in a New Keynesian model of the business cycle

We build a New Keynesian model of the business cycle with sticky prices and real wage rigidities motivated by efficiency wages of the gift exchange variety. Compared to a standard sticky price model, our Fair Wage model provides an explanation for structural unemployment and generates more plausible labor market dynamics—notably accounting for the low correlation between wages and employment. The fair wage induced real wage rigidity also significantly reduces the elasticity of marginal cost with respect to output. The smoother dynamics of real marginal cost increase both amplification and persistence of output responses to monetary shocks, thus remedying the well-known lack of internal propagation of standard sticky price models. We take these improvements as a strong endorsement of the addition of real wage rigidities to nominal price rigidities and conclude that the fair wage extension of this paper constitutes a promising platform for an enriched New Keynesian synthesis.     

Growth, habit formation, and catching-up with the Joneses

When habits are introduced multiplicatively in a capital accumulation model, the consumers’ objective function might fail to be concave. In this paper, we provide conditions aimed at guaranteeing the existence of interior solutions to the consumers’ problem. We also characterize the equilibrium path of two growth models with multiplicative habits: the internal habit formation model, where individual habits coincide with own past consumption, and the external habit formation (or catching-up with the Joneses) model, where habits arise from the average past consumption in the economy. We show that the introduction of external habits makes the equilibrium path inefficient. We characterize in this context the optimal tax policy.     

A ONE‐SECTOR GROWTH MODEL WITH CONSUMPTION STANDARD: INDETERMINATE OR DETERMINATE?

In a representative agent, one-sector growth model in which the discounting is decreasing in the consumption standard measured as the current average consumption flow, Drugeon (1998) establishes local indeterminacy. This paper extends Drugeon's setup in the discount rate. In our setup, the consumption standard is a habit stock that a weighted average of the whole history of average consumption flows in the past. Local indeterminacy emerges only when the speed of habit formation tends to infinity; otherwise, local indeterminacy cannot appear, no matter how large the habit affects the discount rate.     

Voluntary import expansions with non‐stationary demand

Abstract.  In this paper the effect of voluntary imports expansions (VIEs) on welfare in a dynamic game is analysed. It is found that (1) there exists a Markov perfect Nash equilibrium (MPNE) and a unique stable steady state; (2) with habit formation in consumption, the welfare and output for each firm are higher than that without habit formation; and (3) VIEs can increase an importing country's welfare with raised consumption and lowered price. Therefore, VIEs can be voluntary to an importing country. JEL classification: F13, F12     

Habit persistence and the structure of international commodity trade

The paper analyzes the commodity structure of exports and imports of nine industrialized countries, using a dynamic version of the Linear Expenditure System. The hypothesis implied by this approach is that the structure of commodity trade can be explained by a combination of habit persistence and constant marginal expenditure shares. Application of the model to the trade composition of nine countries shows that there are considerable differences in the strength of habit persistence across countries and across commodity groups as well as between exports and imports. These are crucial for the explanation of the associated expenditure and price elasticities.     

中国的产出持续性--基于刚性价格和刚性工资模型的动态分析

通过构建并校准新凯恩斯主义宏观经济模型,本文研究了刚性价格和刚性工资模型解释产出持续性的能力.结果表明,刚性工资模型能较好地解释持续性,而刚性价格模型的解释能力较弱.同时,本文分别引入了前瞻后顾混合制定价格和工资设置,后顾式定价丰富了产出动态,但前瞻后顾混合制定价格设置并不能增强产出的持续性,而前瞻后顾混合制定工资设置则能产生更强的产出持续性.     

Estimated general equilibrium models for the evaluation of monetary policy in the US and Europe

In this paper we derive a general equilibrium model based on optimising behaviour, which also implies a data consistent framework for monetary policy analysis. Specifically, our model accounts for nominal inertia in both price and wage setting as well for habits in consumption. Using US and European data from 1970 to 1998 our parameter estimates reveal that (i) price contracts last for 8 months and 13 months in the US and Euro-area, respectively; (ii) wage contracts have a length of 7 months and 1.75 years in the US and Europe, respectively; (iii) the extent of backward-looking behaviour in price setting is statistically significant in both economies with 41% of price contracts in the US and 28% in the Euro-area set according to a simple rule-of-thumb; (iv) backward-looking wage setting is only present in Europe with 17% of contracts set in a backward-looking manner; and (v) similar habits effects are present in both European and US consumption. Finally, we simulate the effects of monetary policy by considering the impact of a 1 point increase in nominal interest rates for one quarter. Our parameter estimates imply that there is a relatively muted inflationary response to interest rate increases in Europe (price inflation falls by -0.08% in Europe and 0.11% in the US) and there is a correspondingly large output response (-0.2% in the US and -0.6% in Europe).