Rational expectations macro models with possible steady-state inflation andunemployment

Consider an economy exhibiting the conventional IS-LM relationships, Phillips curve type price adjustment equations, and rational inflationary expectations. We demonstrate that starting from the disequilibrium situation of either the Keynesian unemployment or the demand inflation type in which money is nonneutral, the economy converges to an equilibrium situation in which all markets clear. On the other hand, starting from the disequilibrium situation of the classical unemployment type in which money is nonneutral, the economy converges to a state of rest in which the goods and the labor markets remain out of equilibrium. However, money is neutral at this state of rest.     

Unemployment–inflation trade-offs in OECD countries

Inflation and unemployment reduce welfare of individuals and should be as low as possible in any economy. Cointegration and Granger causality tests suggest that there are long run relations between these two variables among the OECD economies. While rates of unemployment vary significantly among these economies, rates of inflation have stabilised at lower rates as a result of inflation targeting policies adopted in them during the last two decades. The Phillips curve phenomena are still empirically significant for 28 out of 35 of these OECD economies in country specific regressions; in fixed and random effect panel data models and in a panel VAR model for 1990:1 to 2014:4. Country specific supply curves and Okun curves are consistent to thin Phillips curve relations. Leftward shifts in the Beveridge and Phillips curves require labour market reforms balancing between job creations and destructions. Complementing macro stimulations by microeconomic structural and institutional reforms can bring efficiency in bargaining for wages and employment among firms and workers to make unemployment–inflation trade-offs more significant and relevant in these economies.     

Comparing alternative Phillips curve specifications: European results with survey-based expectations

This article examines inflation dynamics in Europe. Econometric specification tests with pooled European data are used to compare the empirical performance of the New Classical, New Keynesian and Hybrid specifications of the Phillips curve. Instead of imposing any specific form of expectations formation, direct measures, i.e. Consensus Economics survey data are used to proxy economic agents’ inflation expectations. According to the results, the New Classical Phillips curve has satisfactory statistical properties. Moreover, the purely forward-looking New Keynesian Phillips curve is clearly outperformed by the New Classical and Hybrid Phillips curves. We interpret our results as indicating that the European inflation process is not purely forward looking and inflation cannot instantaneously adjust to changes in expectations. Consequently, even allowing for possible nonrationality in expectations results in a lagged inflation term entering the New Keynesian Phillips curve for inflation dynamics in Europe.     

Time-varying U.S. inflation dynamics and the New Keynesian Phillips curve

This paper introduces a form of boundedly-rational inflation expectations in the New Keynesian Phillips curve. The representative agent is assumed to behave as an econometrician, employing a time series model for inflation that allows for both permanent and temporary shocks. The near-unity coefficient on expected inflation in the Phillips curve causes the agent's perception of a unit root in inflation to become close to self-fulfilling. In a “consistent expectations equilibrium,” the value of the Kalman gain parameter in the agent's forecast rule is pinned down using the observed autocorrelation of inflation changes. The forecast errors observed by the agent are close to white noise, making it difficult for the agent to detect a misspecification of the forecast rule. I show that this simple model of inflation expectations can generate time-varying persistence and volatility that is broadly similar to that observed in long-run U.S. data. Model-based values for expected inflation track well with movements in survey-based measures of U.S. expected inflation. In numerical simulations, the model can generate pronounced low-frequency swings in the level of inflation that are driven solely by expectational feedback, not by changes in monetary policy.     

The long-run Phillips curve and non-stationary inflation

Modern theories of inflation incorporate a vertical long-run Phillips curve and are usually estimated using techniques that ignore the non-stationary behaviour of inflation. Consequently, the estimates obtained are imprecise and unable to test the veracity of a vertical long-run Phillips curve. We estimate a Phillips curve model taking into account the non-stationary properties in inflation and identify a small but significant positive relationship between inflation and unemployment. The results also provide some evidence that the trade-off between inflation and the rate of unemployment in the short-run worsens as the mean rate of inflation increases.     

Prospects for inflation in a high pressure economy: Is the Phillips curve dead or is it just hibernating?

As the US labor market has tightened beyond full employment with relatively little evidence of inflation pressure, observers are increasingly inclined to declare the demise of the Phillips curve, that is, the flattening of its slope to zero. This paper reviews a substantial range of empirical evidence on this point, by assessing the performance of the conventional expectations-augmented Phillips curve for both prices and wages, based on both historical macro or national level data and panel data for states and MSAs (cities). National data going back to the 1950s and 60s yield strong evidence of negative slopes and significant nonlinearity in those slopes, with slopes much steeper in tight labor markets than in easy labor markets. This evidence of both slope and nonlinearity weakens dramatically based on macro data since the 1980s for the price Phillips curve, but not the wage Phillips curve. However, the endogeneity of monetary policy and the lack of variation of the unemployment gap, which has few episodes of being substantially below zero in this sample period, makes the price Phillips curve estimates from this period less reliable. At the same time, state level and MSA level data since the 1980s yield significant evidence of both negative slope and nonlinearity in the Phillips curve. The difference between national and city/state results in recent decades can be explained by the success that monetary policy has had in quelling inflation and anchoring inflation expectations since the 1980s. We also review the experience of the 1960s, the last time inflation expectations became unanchored, and observe both parallels and differences with today. Our analysis suggests that reports of the death of the Phillips curve may be greatly exaggerated.     

Vacancies, unemployment, and the Phillips curve

The canonical new Keynesian Phillips curve has become a standard component of models designed for monetary policy analysis. However, in the basic new Keynesian model, there is no unemployment, all variation in labor input occurs along the intensive hours margin, and the driving variable for inflation depends on workers’ marginal rates of substitution between leisure and consumption. In this paper, we incorporate a theory of unemployment into the new Keynesian theory of inflation and empirically test its implications for inflation dynamics. We show how a traditional Phillips curve linking inflation and unemployment can be derived and how the elasticity of inflation with respect to unemployment depends on structural characteristics of the labor market such as the matching technology that pairs vacancies with unemployed workers. We estimate on US data the Phillips curve generated by the model. While we can reject the baseline new Keynesian Phillips curve in favor of the search-frictions specification, we show it is still too stylized to fully describe the dynamics of firms’ marginal costs.     

Policy implications of a non-linear Phillips curve in a stochastic environment

When the Phillips curve is non-linear, fluctuations of the unemployment rate below the mean will have a larger impact on the inflation rate than fluctuations above the mean. This paper shows that this causes conventional measures of the “natural unemployment rate” to underestimate the mean unemployment rate consistent with stable inflation in the long run. More importantly, it reveals a potential long-run trade-off between unemployment and economic stability.     

Inflation literacy and inflation expectations: Evidence from Austrian household survey data

Inflation expectations are known to be quite heterogeneous across agents. We investigate whether this heterogeneity is primarily due to differences in people’s understanding of the inflation process and of the goals and intentions of the central bank. Using micro data from a survey conducted among 2000 Austrian households, we construct an indicator of “inflation literacy” from several questions on people’s knowledge about different aspects of inflation. We find that this indicator helps explain both the level and the uncertainty of inflation expectations: Households with relatively higher levels of inflation literacy tend to have lower and more accurate short-term and long-term inflation expectations. Interestingly, however, they are less certain about their inflation expectations than people with lower levels of inflation literacy. We also find that people’s trust in the central bank and in its ability to maintain price stability significantly dampens their inflation expectations.     

Time variation in inflation persistence: New evidence from modelling US inflation

This article explores how inflation persistence relates to the conduct and goals of monetary policy by presenting a new approach to modelling US inflation persistence and the Fed's dual mandate. Our framework fills a gap in pre-existing models by more flexibly accounting for diverse dynamic properties and shocks. Estimating a Phillips Curve model augmented with inflation volatilities and expectations, we find that the degree of monthly inflation persistence is time variant since World War II. Variations in persistence continue to be observed regardless of the absolute level of inflation and the extent of the trade-off between inflation and unemployment. We demonstrate that inflation persistence varies in line with expectations formed by memories of past inflation. This supports the case for more flexible monetary policy at times, as in the 1980s or especially the present decade, when inflation is more persistent.     

Disequilibrium rational expectations: Examples of unemployment with inflation

In this paper, we present a simple dynamic general disequilibrium model which generates both unemployment and inflation as a stationary long-run equilibrium. Rational expectations (in the mean) are an essential part of this equilibrium. Policy remedies are examined. By means of an example, it is shown that rational expectations are consistent with depressed economic activity and that government policy can play an important role. It is entirely possible for inflation and unemployment to persist indefinitely.     

The New Keynesian Phillips curve and the role of expectations: Evidence from the CESifo World Economic Survey

We provide evidence on the fit of the hybrid New Keynesian Phillips curve for selected Euro zone countries, the US and the UK. Instead of imposing rational expectations and estimating the Phillips curve by the Generalized Method of Moments, we use direct measures of inflation expectations from the CESifo World Economic Survey. Our main findings are as follows: (i) The use of survey data gives empirical results, which are more reliable than those obtained from the GMM approach. (ii) The purely forward-looking Phillips curve can be rejected in favor of the hybrid New Keynesian Phillips curve. (iii) The estimated coefficients on past inflation are higher when using survey expectations than when using the rational expectations GMM approach. (iv) It remains unclear whether real unit labor costs or a measure of the output gap should be used as a proxy for real marginal costs. (v) Theory-based restrictions lead to an improvement of the empirical results.     

Is the US Phillips curve stable? Evidence from Bayesian vector autoregressions*

It has been claimed that the fall in US inflation during the Great Recession was surprisingly small. One possible explanation for this is that the Phillips curve is unstable and that its slope was lower around the Great Recession. We investigate the importance of time-varying parameters using Bayesian vector autoregressions for inflation and unemployment. We find support for time variation in the inflation equation and an unstable Phillips curve that was somewhat flatter between 2005 and 2013. However, conditional forecasts mostly suggest that inflation was not unexpectedly high around the Great Recession, which puts the claim of a “missing disinflation” into question.     

Quantification and characteristics of household inflation expectations in Switzerland

Inflation expectations are a key variable in conducting monetary policy. However, these expectations are generally unobservable and only certain proxy variables exist, such as surveys on inflation expectations. This article offers guidance on the appropriate quantification of household inflation expectations in the Swiss Consumer Survey, where answers are qualitative in nature. We apply and evaluate different variants of the probability approach and the regression approach; we demonstrate that models that include answers on perceived inflation and allow for time-varying response thresholds yield the best results; and we show why the originally proposed approach of Fluri and Spörndli (1987) has resulted in heavily biased inflation expectations since the mid-1990s. Furthermore, we discuss some of the key features of Swiss household inflation expectations, i.e. the fact that there has been a shift in expectation formation since 2000 (expectations are better anchored and less adaptive, and there is lower disagreement of expectations). We suggest that this may be linked to the Swiss National Bank’s adjustment of its monetary policy framework around this time. In addition, we outline how expectation formation in Switzerland is in line with the sticky information model, where information disseminates slowly from professional forecasters to households.     

A consistent model of the expectations augmented Phillips curve and inflation

The usual version of the expectations-augmented Phillips curve is shown to contain several inconsistencies. In particular, it does not take account of the dependence of labor demand and supply on the real wage, nor does it treat the goods and labor markets symmetrically. When the model is revised to meet these points, it is found that standard accelerationist results are largely unaffected. However, the important issue as to whether inflation accelerates depends not on wage but on price behavior. A unit coefficient on the expectations variable in the wage equation is seen to be irrelevant to this question.     

The phillips curve and US macroeconomic performance during the 1990s

This paper identifies two competing accounts of recent US macroeconomic performance, both of which are capable of explaining the concurrence of low unemployment and low inflation experienced by the US after 1995. Econometric evidence provides partial support for both views, establishing that while there has been no change in the position of the long run Phillips curve in the US during the 1990s, this long run Phillips curve is likely not vertical. These results suggest that recent US macroeconomic performance is not sustainable and that US policy makers ultimately face a choice between higher unemployment or higher inflation in the long run.     

The properties of survey-based inflation expectations in Sweden

This article assesses the properties of survey-based inflation expectations in Sweden. The survey in question is conducted by Prospera once every quarter and consists of respondents from businesses and labour-market organisations. The article shows that inflation expectations measured in this survey tend to be biased and inefficient forecasts of future inflation. Moreover, evaluations of forecast accuracy show that these inflation expectations are worse predictors of inflation than those of a professional forecasting institution and also typically outperformed by a simple autoregressive model. Given that the true inflation expectations are captured by the survey, our results indicate that economic agents’ expectations formation process is suboptimal.     

Does a factor Phillips curve help? An evaluation of the predictive power for U.S. inflation

This article evaluates various models’ predictive power for U.S. inflation rate using a simulated out-of-sample forecasting framework. The starting point is the traditional unemployment Phillips curve. We show that a factor Phillips curve model is superior to the traditional Phillips curve, and its performance is comparable to other factor models. We find that a factor AR model is superior to the factor Phillips curve model, and is the best bivariate or factor model at longer horizons. Finally, we investigate a New Keynesian Phillips curve model, and find that its forecasting performance dominates all other models at the longer horizons.     

Verification of the natural unemployment rate hypothesis in the South African economy

The results obtained confirming the natural unemployment rate hypothesis, i.e., that in the long run there is no trade-off between inflation and unemployment. The results also support the weak rational expectations hypothesis, that with the increase in the information the economic agent will eliminate the money illusion, though the process towards the final elimination of the money illusion is very long, and therefore short-term Phillips curve can be sustained for quite long periods.