Partial inflation indexation and long-run inflation targeting in a growing economy: A comparison of Calvo and Rotemberg pricing models

The observed 2% long run inflation target in most developed industrial nations is in variance with the zero or negative optimal inflation rates predicted by prominent monetary theories. Using a calibrated simple New-Keynesian model with endogenous growth and nominal rigidity, we compare two price setting environments of Calvo (1983) and Rotemberg (1982). In our growth model, the steady state welfare maximizing inflation takes into account the growth effect as well as the price distortionary effects of inflation. The long-run welfare maximizing trend inflation could be positive in economies with nominal rigidity in the form of partial inflation indexation and price stickiness. A higher degree of inflation indexation lowers the steady state price distortion in the Calvo model and steady state price adjustment cost in Rotemberg model and raises the long run optimal inflation. Since the productive inefficiency caused by partial inflation indexation is higher in Calvo economy compared to Rotemberg, the long run optimal trend inflation is higher in Rotemberg than in Calvo. In both models, a two percent long run inflation target is attainable for a reasonable degree of inflation indexation.     

The effects of indexation of wage contracts on macro-economic stability

The paper develops a simple analytical framework in which the shortrun affects of wage indexation on the dynamic stability of inflation can be analyzed. It consists of a unlonized labor market faced by a competitive demand. Without indexation, the wage contract is based upon the union's prediction of the price level during the period of the contract. With indexation, the same objective is achieved by contracting only once at some initial period, subject to the stipulation that the nominal wage is linked to the price level. The main result is that when the demand for money is sensitive to changes in the expected rate of inflation, nominal variables like prices and wages are more likely to yield an unstable dynamic response with wage indexation, thus endangering the monetary system.     

Evidence on the effects of inflation on price dispersion under indexation

Distortionary effects of inflation on relative prices are the main argument for inflation stabilization in macro models with sticky prices. Under indexation of non-optimized prices, those models imply a nonlinear and dynamic impact of inflation on the cross-sectional price dispersion (relative price or inflation variability, RPV). Using US sectoral price data, we estimate such a relationship between inflation and RPV, also taking into account the endogeneity of inflation by using two- and three-stage least-squares and GMM techniques, which turns out to be relevant. We find an effect of (expected) inflation on RPV, and our results indicate that average (??trend??) inflation is important for the RPV?Cinflation relationship. Lagged inflation matters for indexation in the CPI data, but is not important empirically in the PPI data.     

Nominal rigidities, skewness and inflation regimes

The menu-costs model developed by Ball and Mankiw (BM) [Ball, L., Mankiw, N.G., 1994. Asymmetric price adjustment and economic fluctuations. Economic Journal 104 (423), 247–261; Ball, L., Mankiw, N.G., 1995. Relative-Price Changes as Aggregate supply shocks. Quarterly Journal of Economics 110 (1), 161–193] predicts that inflation is positively related to the skewness of price changes distribution. We test this prediction in different inflationary contexts: Spain (1975–2002) and Argentina (1960–1989). We find a positive inflation–skewness relationship in both countries at low inflation, even though the mean annual inflation rates were very different: 2.2% for Spain and 23% for Argentina. Therefore, the threshold of low inflation under which the menu-costs model is suitable is determined endogenously, and it depends on the inflationary experience of each economy. In the higher inflation periods skewness is not significant. Finally, our results suggest that the menu-costs model is not suitable beyond certain threshold of inflation.     

Monetary Policy with Sectoral Trade‐Offs

We formulate a two‐sector New Keynesian economy featuring sectoral heterogeneity along three dimensions: price stickiness, consumption goods durability, and the usage of input materials in production. These factors affect both inter‐sectoral and intra‐sectoral stabilization. We examine the welfare properties of simple rules that react to alternative measures of final goods price inflation. Due to factor demand linkages, the cost of production in one sector is influenced by price‐setting in the other sector. Therefore, measures of aggregate inflation weighting sectoral prices based on their relative stickiness do not allow one to keep track of the effective speeds of sectoral price adjustment.     

Price stickiness, trend inflation, and output dynamics: a cross‐country analysis

Abstract.  Sticky price models based on menu costs predict that countries with high trend inflation should have (i) smaller impact effects of demand shocks on output and (ii) less persistent output fluctuations, relative to low‐trend inflation countries. These predictions are tested, controlling for changes in trend inflation, using a country‐specific approach. The results do not support the second prediction. That prediction is also not robust to a modified measure of trend inflation that excludes episodes of hyperinflation. These findings suggest that while price stickiness is important for understanding short‐run impact effects, real propagation mechanisms may drive persistence in output fluctuations.     

The Relationship Between Macroeconomic Variables and Relative Price Variability in Greek Agriculture

The purpose of this paper is to present a measure of relative price variability (RPV) among 53 agricultural products and to explore the relationships between RPV, aggregate inflation rate, and changes in economic activity for the period 1962–1997. We also estimate the effects of expected and unexpected components of inflation on price variability. The results show that changes in inflation rate and economic activity have a strong positive effect on RPV, in addition, expected inflation is found to be an important determinant for explaining price variability.     

The (Q,S,s) pricing rule: a quantitative analysis

Are nominal prices sticky because menu costs prevent sellers from continuously adjusting their prices to keep up with inflation or because search frictions make sellers indifferent to any real price over some non-degenerate interval? The paper answers the question by developing and calibrating a model in which both search frictions and menu costs may generate price stickiness and sellers are subject to idiosyncratic shocks. The equilibrium of the calibrated model is such that sellers follow a (Q,S,s) pricing rule: each seller lets inflation erode the effective real value of the nominal prices until it reaches some point s and then pays the menu cost and sets a new nominal price with an effective real value drawn from a distribution with support [S, Q], with s < S < Q. Idiosyncratic shocks short-circuit the repricing cycle and may lead to negative price changes. The calibrated model reproduces closely the properties of the empirical price and price-change distributions. The calibrated model implies that search frictions are the main source of nominal price stickiness.     

Optimal monetary policy: is price‐level targeting the next step?

We examine whether inflation targeting should be regarded as optimal. Targeting inflation implies (undesirably) that price level variance tends to infinity: we produce some evidence from both a representative agent model and a long‐used forecasting model that, once an endogenous indexation response is allowed for, price level targeting imposes no extra costs of macro variability, indeed gives significant gains.     

Inflation in Argentina during the 2000s

The paper presents a neo-structuralist econometric analysis of the monthly inflation rates. The model breaks down the CPI into different components based on their price-formation mechanisms. The basic breakdown defines three components: PFLEX (fruits and vegetables, 3.6% of the basket), PREGUL (prices regulated by the government, 20.1% of the basket) and PFIX (the rest of goods and services, 76.3% of the basket). PFIX is the focus of the econometric analysis while PFLEX and PREGUL are considered exogenous. The explanatory variables are the monthly rates of: the price of bovine cattle at the domestic market, the international soy price, the price by ton of imported intermediate goods, the nominal exchange rate, the average wage of workers that are registered in Social Security and the productivity, measured by the GDP by employed worker. There was an informal indexation mechanism in the labor market. Average monthly wages rose at annual rates that were almost always higher than the sum of past annual inflation plus the annual increase in productivity. The over-indexation of the unit labor cost was the main inflationary factor in the period. The inertial component, represented in the model by the previous monthly rate, determines 60% of the current rate.     

Stock prices, inflation and output: Evidence from wavelet analysis

The negative relationship between real stock return and inflation puzzled many as it contradicts conventional Fisherian wisdom. Fama [Fama, E.F. (1981), “Stock returns, real activity, inflation and money”, American Economic Review, 71(September), 545–564.] gave an explanation for this negative relationship with two propositions that links real stock return and inflation through real output. This study revisits Fama's hypothesis for India in the post-liberalized period from a developing country perspective. Examining this relationship on the time-scale decomposition from a wavelet multi-resolution analysis suggests that Fama's hypothesis holds only for the long time scale and remains as a puzzle for the other time scales.     

WELFARE COSTS OF SHIFTING TREND INFLATION: STAGGERED WAGE AND PRICE CONTRACTS

We develop a New Keynesian model featuring staggered price and wage contracts to study welfare costs of exogenous variations in trend inflation. The analyses show that the consequences of constant positive trend inflation and shifting trend inflation are severe, especially when trend inflation is high. Among two channels, staggered wage contracts play a vital role in transmitting adverse impacts of constant and shifting trend inflation into the economy. Without the staggered wage channel, these costs are modest. We also conduct exercises to examine the sensitivity of welfare costs to a wide range of plausible parameters. The results show that if the price and wage friction are sufficiently large, the price and wage indexation level are sufficiently small, or there is upward biased trend inflation process, the welfare costs become larger.     

Price setting and the steady-state effects of inflation

This paper examines how price setting plays a key role in explaining the steady-state effects of inflation in a monopolistic competition economy with transactions-facilitating money. Three pricing variants (optimal prices, indexed prices, and unchanged prices) are introduced through a generalization of the Calvo-type setting that allows price indexation. We found that in an economy with less indexed prices, the steady-state negative impact of inflation on output is higher. Regarding welfare analysis, our results support a long-run monetary policy aimed at price stability with a close-to-zero inflation target. This finding is robust to any price setting scenario.JEL Classification: E13, E31, E50The writing of this paper commenced during the time I spent on the Research Visitors Programme 2001 of the European Central Bank and an earlier version of the paper became ECB Working Paper No. 140. I would like to thank Bennett T. McCallum, Frank Smets, and Oscar Bajo-Rubio for their valuable comments and suggestions, and the Ministerio de Ciencia y Tecnología of Spain for its financial support (Research Project 2002/00954).     

The Economic Situation

Throughout the first nine months of 1976 the Australian economy has remained virtually stagnant, with output and employment increasing only marginally and unemployment rising also. With the government following a severely contractionary policy in an attempt to break inflation the economy seems poised for a further modest downturn in the next nine months so that a self-sustaining recovery from the current recession does not seem to be in prospect before the second half of 1977. On the basis of existing policies our forecasts indicate a rate of growth of real GDP of only about 1.0 per cent in 1976–77, implying a further significant rise in unemployment during the financial year. There have been some hopeful signs in recent months of a reduction in inflation — the consumer price index increases in the first three quarters of 1976 were modest and wage rate increases remain closely in line with the wage indexation guidelines — but three factors have emerged to cast doubt on whether this improving trend will continue. The first is the effect of the recent drought on prices of foodstuffs, particularly meat, and the second is the expected 1.5 to 2.0 per cent increase in the consumer price index as a result of the changes in the method of financing hospital and medical services. These two factors mean that the December quarter increase in the consumer price index may be more than 5 per cent, threatening a further stimulus to inflation in 1977. Thirdly, present government policies could easily lead to a breakdown of the wage indexation system and a return to some form of collective bargaining over wage rates. Assuming nevertheless, a de facto continuation of partial indexation in 1977, we expect increases in male award wages and male average earnings of about 13 per cent during 1977, these increases being similar to those during 1975 and 1976 but much below the increases of 36 per cent and 28 per cent respectively recorded during 1974. Our forecasts also indicate increases in the consumer price index of 14 per cent during 1976 and 11 per cent during 1977, following increases of 16.3 per cent and 14.0 per cent during 1974 and 1975 respectively. These forecasts indicate that the government's fiscal, monetary, exchange rate and wage policies are likely to come under heavy challenge early in 1977, and decisions taken at that time are likely to be major determinants of economic developments in Australia in the next few years. The Institute would again urge a shift to a co-operative package including full wage indexation, with cuts in indirect taxes and public sector charges to wind down inflation and expand the economy. On current indications, labour productivity will be no higher in 1976–77 than in 1973–74, because of the weakness of total output, so that the whole burden of wage increases in that three year period has fallen on unit costs of production. It is our belief that the twin problems of inflation and unemployment will only be defeated in Australia when both cuts in indirect or direct taxes and increases in productivity are applied to reducing inflation in the context of an orderly system of wage and price determination.     

Equilibrium determinacy and inflation measures for interest rate rules

Empirical evidence suggests that goods are highly heterogeneous with respect to the degree of price rigidity. We develop a two-sector dynamic general equilibrium model to study the equilibrium determinacy properties of interest rate rules that respond to inflation measures differing in their degree of price rigidity. We find that rules responding to a headline measure, which puts some weight on the inflation of the sector with low price stickiness, are more prone to generate endogenous aggregate instability—in the form of fluctuations driven by self-fulfilling expectations and equilibria where fluctuations are unbounded—than rules that respond exclusively to a core measure, which includes only the inflation of the sector with high price stickiness. We discuss how our results depend on the elasticity of substitution across goods, the timing of the policy rule, and reacting to aggregate activity.     

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.     

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.     

Dynamic pricing and asymmetries in retail gasoline markets: What can they tell us about price stickiness?

Theoretical explanations for price stickiness used in businesses cycle models are diverse (e.g., information processing delays, rational inattention and fair pricing), with each theory resulting in a different implication for inflation dynamics. Using an autoregressive conditional binomial model and a data set consisting of daily observations of price and cost for 15 Philadelphia retail gasoline stations, we test which of these theories is most consistent with the observed pattern of price adjustment. Our findings of time dependence, asymmetry and the role of cost volatility are consistent with a combination of fairness considerations and rational inattention by producers.     

成本冲击与价格粘性的非对称性——来自中国微观制造业企业的证据

本文在状态依存模型框架内,估计了中国制造业企业价格粘性的非对称性和异质性。结果显示制造业产品的价格粘性具有非对称的特征,同时企业的"异质性"也影响了产品的价格粘性。根据价格粘性理论,存在价格粘性时,货币是"非中性"的,通过调整货币数量能够影响短期内的产出。然而,由于价格粘性的非对称性,在通货膨胀时期,央行为了抑制通胀而采取的紧缩性货币政策将更多地表现为产出减少,而非价格水平下降;相反,为提高产出而实行的扩张性货币政策将更多地表现为价格水平上升,而非产出水平提高。只有通货紧缩时期,价格粘性的非对称性出现反转,扩张性货币政策在短期内才更有效。     

New Keynesian Phillips Curve and inflation dynamics in Australia

The New Keynesian Phillips Curve (NKPC) was developed as a response to the New Classical critique that Keynesian macroeconomics lacked micro-foundations. The NKPC provides theoretical micro-foundations that attempt to explain, inter alia, nominal rigidities and, explicitly price stickiness. This paper investigates the validity of the NKPC for Australia. In contrast to the findings for the USA and Euro area, we find that neither the output gap nor marginal cost appears to be a key driving force variable across different set of instruments and estimators (GMM and 2SLS) over the sample period from 1959 to 2009. The flattening of the NKPC along with significant presence of price stickiness is also found in the data. In particular, the reduced form coefficients and implied estimates from the structural parameters of the model support the view that inflation dynamics are forward looking while the role of lagged inflation is also statistically important only after 1980s. However, we claim that the forward looking baseline NKPC contrary to the hybrid NKPC is stable and better explains inflation dynamics for the Australian economy.