NAIRU Estimates for Germany: New Evidence on the Inflation–Unemployment Tradeoff

Meaningful estimates of the non‐accelerating inflation rate of unemployment (NAIRU) within a Phillips curve framework require an identified tradeoff between inflation and unemployment. However, observations of inflation and unemployment are equilibrium points giving rise to a simultaneity problem. We assess conventional identifying assumptions in the literature on the German NAIRU in a general bi‐variate equations system of inflation and unemplyoment. We use a data‐driven method for identification based on shifts in the relative volatility of shocks to unemployment and inflation to identify the tradeoff for Germany. Our results support models which estimate a contemporaneous effect of unemployment on inflation and those which model inflation and unemployment jointly.     

Why Has Australian Wages Growth Been So Low? A Phillips Curve Perspective

Wages growth in Australia has recently been the lowest in two decades. One possible explanation is a decline in the non‐accelerating inflation rate of unemployment (NAIRU). We examine this hypothesis by estimating a wage Phillips curve including a time‐varying NAIRU. Our findings are: (i) the NAIRU has recently been around 5.5 per cent; (ii) our approach increases the precision of the NAIRU estimates; (iii) low inflation expectations have been an important contributing factor; and (iv) the long‐run annual wages growth is nearly 3 per cent. We also find that the underutilisation rate suggests greater slack exists, but is less useful in explaining wage developments.     

Will the (German) NAIRU Please Stand Up?

Abstract. This paper deals with a critical assessment of the ‘non‐accelerating inflation rate of unemployment’ (NAIRU) for Germany. There are quite a few obstacles to perceiving the NAIRU as an easy‐to‐use analytical instrument: the possibility of a non‐vertical Phillips curve, the occurrence of shocks and hysteresis effects, and the (mis‐)measurement of important variables, cointegration issues and a time variability of the NAIRU. A new attempt is made to estimate a NAIRU for Germany using direct measures of inflationary expectations. However, by any method, the NAIRU is very hard to determine and subject to considerable arbitrariness.     

UNEMPLOYMENT PERSISTENCE AND THE NAIRU: A BAYESIAN APPROACH

This paper estimates the United States and euro area NAIRU in a Bayesian framework. We set out a simple structural model explaining unemployment by demand and supply factors, which are treated as unobserved variables that have observable effects on measured unemployment, output and inflation. The model allows for unemployment persistence and a time-varying core inflation rate. The results show that although cyclical shocks are very persistent, most of the increase in European unemployment is driven by structural factors. The degree of persistence is lower in the United States but demand shocks seem to be more important in explaining variation in unemployment.     

A Search Model of Unemployment and Inflation*

This paper introduces money into the standard labor‐matching model. A double‐coincidence problem makes money necessary as a medium of exchange. In the long run, a rise in the growth rate of money leads to higher inflation and higher unemployment, such that the long‐run Phillips curve is not vertical. The optimal monetary growth rate decreases with greater worker bargaining power, the level of unemployment benefits, and the payroll tax rate.     

Macroeconomic Stability or Cycles? The Role of the Wage‐Price Spiral

We formulate a small and stylised dynamic macroeconomic model, and study how different specifications of the supply side affect the model's dynamic properties. The wage‐price equilibrium‐correction model (ECM) and the Phillips curve model (PCM) that both can be used to represent the supply side of a New Keynesian macro model, are synthesised in a generalised model of the wage‐price spiral. We show that the choice of ECM or PCM has implications for the long‐run stability of the macro model, without need of a NAIRU. We also find that the range of theoretically admissible dynamics is wide. For example, both the ECM and PCM may display endogenous cyclical fluctuations in inflation and unemployment, showing that even simple structures can give rise to complex dynamics. In practice that may entail that forecasting the effects of shocks and policy changes is difficult even in the best of circumstances.     

PRODUCTIVITY GROWTH AND THE PHILLIPS CURVE: A REASSESSMENT OF THE US EXPERIENCE

In this paper, we analyse a new Phillips curve (NPC) model and demonstrate that (i) frictional growth, i.e., the interplay of wage staggering and money growth, generates a non‐vertical NPC in the long run and (ii) the Phillips curve (PC) shifts with productivity growth. On this basis we estimate a dynamic system of macro‐labour equations to evaluate the slope of the PC and explain the evolution of inflation and unemployment in the USA from 1970 to 2006. Because our empirical methodology relies heavily on impulse response functions, it represents a synthesis of the traditional structural modelling and (structural) vector autoregressions. We find that the PC is downward‐sloping with a slope of ?3.58 in the long run. Furthermore, during the stagflating 1970s, the productivity slowdown contributed substantially to the increases in both unemployment and inflation, whereas the monetary expansion was quite ineffective and led mainly to higher inflation. Finally, the monetary expansion and productivity speedup of the roaring 1990s were both responsible for the significant lowering of the unemployment rate.     

Measuring the NAIRU �� A structural VAR approach

This paper calculates the NAIRU for the US in a framework that allows inflation and unemployment to be jointly endogenous. We define the NAIRU as being the component of actual unemployment that is uncorrelated with inflation in the long run. We use a structural VAR to estimate the NAIRU and core inflation simultaneously and with greater precision than most of the previous literature. Our results show that the NAIRU fell dramatically at the end of the 1990s from 6.7% before 1997 to 5.2% afterwards.     

Nonlinear Phillips curve,NAIRU and monetary policy rules

The US Phillips curve is modeled with a logistic smooth transition autoregression specification that allows various nonlinear shapes. Using this, the paper derives model-consistent estimates of the NAIRU. The NAIRU is defined as the level of unemployment rate that would correspond to a forecast of no inflation changes over the policy horizon. This paper also investigates the implications of nonlinearities in the Phillips curve for deriving optimal monetary policy rules. The optimal policy rule for interest rates and implied sacrifice ratios are found to be nonlinear as well.      

The NAIRU reconsidered: why labour market deregulation may raise unemployment

According to the mainstream theory of equilibrium unemployment, persistent unemployment is caused mainly by ‘excessive’ labour market regulation, whereas aggregate demand, capital accumulation and technological progress have no lasting effect on unemployment. We show that the mainstream non‐accelerating inflation rate of unemployment (NAIRU) model is a special case of a general model of equilibrium unemployment, in which aggregate demand, investment and endogenous technological progress do have long‐term effects. It follows that labour market deregulation does not necessarily reduce steady‐inflation unemployment. Theoretically, if the decline in real wage growth claims owing to deregulation is smaller than the ensuing decline in labour productivity growth and in the warranted real wage growth, then in that case steady‐inflation unemployment may increase. Empirical evidence for 20 Organisation for Economic Cooperation and Development (OECD) countries (1984–1997) indicates that the impact of labour market deregulation on OECD unemployment is zero, and possibly negative (causing a higher rate of unemployment).     

Does history matter?: Empirical analysis of evolutionary versus stationary equilibrium views of the economy

The evolutionary vision in which history matters is of an evolving economy driven by bursts of technological change initiated by agents facing uncertainty and producing long term, path-dependent growth and shorter-term, non-random investment cycles. The alternative vision in which history does not matter is of a stationary, ergodic process driven by rational agents facing risk and producing stable trend growth and shorter term cycles caused by random disturbances. We use Carlaw and Lipsey’s simulation model of non-stationary, sustained growth driven by endogenous, path-dependent technological change under uncertainty to generate artificial macro data. We match these data to the New Classical stylized growth facts. The raw simulation data pass standard tests for trend and difference stationarity, exhibiting unit roots and cointegrating processes of order one. Thus, contrary to current belief, these tests do not establish that the real data are generated by a stationary process. Real data are then used to estimate time-varying NAIRU’s for six OECD countries. The estimates are shown to be highly sensitive to the time period over which they are made. They also fail to show any relation between the unemployment gap, actual unemployment minus estimated NAIRU and the acceleration of inflation. Thus there is no tendency for inflation to behave as required by the New Keynesian and earlier New Classical theory. We conclude by rejecting the existence of a well-defined a short-run, negatively sloped Philips curve, a NAIRU, a unique general equilibrium, short and long-run, a vertical long-run Phillips curve, and the long-run neutrality of money.     

Analysis of wage flexibility across the Euro Area: evidence from the process of convergence of the labour income share ratio

This article analyses wage flexibility as a factor in the unemployment rate across 12 Euro Area countries. We use extensive evidence pertaining to the countercyclical behaviour of the labour income share ratio to estimate its equilibrium value in the long run. This measure is calculated using a hybrid New Keynesian Phillips curve. Additionally, by using spatial econometrics, we can incorporate into the study the interdependence in the inflation among the countries. As a result, we identify countries that might see an improvement in their employment rates by improving their wage flexibility. We also identify countries with high unemployment that is not a consequence of a lack of wage flexibility.     

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.     

Inflation and Unemployment in General Equilibrium*

When labor is indivisible, there exist efficient outcomes with some agents randomly unemployed, as in Rogerson (1988) . We integrate this idea into the modern theory of monetary exchange, where some trade occurs in centralized markets and some in decentralized markets, as in Lagos and Wright (2005) . This delivers a general equilibrium model of unemployment and money, with explicit microeconomic foundations. We show that the implied relation between inflation and unemployment can be positive or negative, depending on simple preference conditions. Our Phillips curve provides a long‐run, exploitable, trade‐off for monetary policy; it turns out, however, that the optimal policy is the Friedman rule.     

Inflation, Unemployment and the NAIRU in Australia

In this paper we investigate the relationship between inflation and unemployment in Australia, post 1959. Our approach is based on identification of the time series components of the data. Evidence is found of significant correlations between the non-trend frequencies of inflation and unemployment and these correlations are exploited to estimate a simple forecasting model that does not suffer from the instability normally associated with the Phillips Curve. Estimates of the NAIRU are also provided and these range from as low as 2.3 per cent to as high as 9.2 per cent over this period, but these estimates are quite imprecise. Reasons for this imprecision are discussed.     

System estimates of potential output and the NAIRU

This paper proposes a new approach for estimating potential output and the NAIRU. The methodology models these key unobservable economic variables as latent stochastic trends within a trivariate system of observables comprising information on unemployment, GDP, and inflation. Identification is achieved through the use of a standard version of Okun's law and a Phillips curve. The performance of the procedure is investigated using Swedish quarterly data covering the time period 1970:1–1996:3. First version received: June 1997/final version received: September 1998     

The European Commission’s new NAIRU: Does it deliver?

The non-accelerating inflation rate of unemployment (NAIRU) is a key component of potential output and as such critically affects output gap estimates. In May 2014, the European Commission changed its specification of the NAIRU for several countries and lowered its NAIRU estimates – in the case of Spain from 26.6% to 20.7% for 2015. To test the dependence of the new NAIRU on unemployment versus structural factors, we run counterfactual simulations applying 1SD shocks to actual unemployment and to the structural variable – real unit labour costs. We find that the NAIRU in its new specification is still largely determined by actual unemployment. This calls in question both the interpretation of potential output estimates as barriers to more vigorous inflation-stable economic activity and the accuracy of structural deficit figures.     

Downward nominal wage rigidity in Canada: Evidence against a “greasing effect”

The existence of downward nominal wage rigidity (DNWR) has often been used to justify a positive inflation target. It is traditionally assumed that positive inflation could “grease the wheels” of the labour market by putting downward pressure on real wages, easing labour market adjustments during a recession. A rise in the inflation target would attenuate the long‐run level of unemployment and hasten economic recovery after an adverse shock. Following Daly and Hobijn (2014), we re‐examine these issues in a model that accounts for precautionary motives in wage‐setting behaviour. We confirm that DNWR generates a long‐run negative relationship between inflation and unemployment, in line with previous contributions to the literature. However, we also find that the increase in the number of people bound by DNWR following a negative demand shock rises with the inflation target, offsetting the beneficial effects a higher inflation target has on closing the unemployment gap. As an implication, contrary to previous contributions that neglected precautionary behaviour, the speed at which unemployment returns back to pre‐crisis levels during recessions is relatively unaffected by variations in the inflation target.     

Is the NAIRU more useful in forecasting inflation than the natural rate of unemployment?

Recent studies have indicated that the terms ‘NAIRU’ (non-accelerating inflation rate of unemployment) and ‘natural rate of unemployment’ are not interchangeable. While NAIRU is an empirical macroeconomic relationship estimated via a Phillips curve, the natural rate is an equilibrium condition in the labour market, reflecting the market's microeconomic features. This study evaluates comparatively the inflation-forecasting power of alternative time-varying estimates of the natural rate of unemployment relative to the NAIRU. The natural rate of unemployment in the USA since the Second World War is estimated. Three alternative methods are utilized: the Kalman filter, a structural determinants approach, and the Hodrick-Prescott filter. The section that follows assesses how each estimator of the natural rate compares with the others – as well as with the NAIRU derived from a Phillips curve – in forecasting inflationary changes in the USA in the second half of the twentieth century. The analysis reveals that the overall inflation-forecasting utility of the natural rate of unemployment relative to the NAIRU is not very different. Moreover, the conclusion appears to be quite robust to various estimators of the natural rate.     

How flexible are real wages in EU countries? A panel investigation

We estimate the degree of real wage flexibility in 19 EU countries in a wage Phillips curve panel framework. We find evidence for a reaction of wage growth to unemployment and productivity growth. The degree of real wage flexibility tends to be larger in the central and eastern European (CEE) countries than in the euro area; weaker in downturns than during upswings. There exists an inflation threshold, below which real wage flexibility is low. We also find that a part of the heterogeneity in real wage flexibility and unemployment may be related to differences in the wage bargaining institutions.