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.     

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.     

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.     

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.     

The economics of the Phillips curve: Formation of inflation expectations versus incorporation of inflation expectations

This paper examines the theory of the Phillips curve, focusing on the distinction between “formation” of inflation expectations and “incorporation” of inflation expectations. Phillips curve theory has largely focused on the former. Explaining the Phillips curve by reference to expectation formation keeps Phillips curve theory in the policy orbit of natural rate thinking where there is no welfare justification for higher inflation even if there is a permanent inflation–unemployment trade-off. Explaining the Phillips curve by reference to incorporation of inflation expectations breaks that orbit and provides a welfare economics rationale for Keynesian activist policies that reduce unemployment at the cost of higher inflation.     

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.     

Does immigration affect the Phillips curve? Some evidence for Spain

The Phillips curve has flattened in Spain over 1995-2006: Unemployment has fallen by 15 percentage points, with roughly constant inflation. This change has been much more pronounced than elsewhere. We argue that this stems from the immigration boom in Spain over this period. We show that the New Keynesian Phillips curve is shifted by immigration if natives’ and immigrants’ labor supply elasticities and bargaining power differ. Estimation of this curve for Spain indicates that the fall in unemployment since 1995 would have led to an annual increase in inflation of 2.5 percentage points if it had not been largely offset by immigration.     

Does Inflation Grease the Wheels of Adjustment? New evidence from the US economy

This paper presents a new interpretation of the Phillips curve that rests on the process of nominal wage adjustment in a multi-sector economy. Nominal demand growth causes inflation in sectors with full employment, but it speeds up the process of employment creation in sectors with unemployment. As a result, demand-pull inflation is associated with both a reduction in the duration of unemployment and the economy wide average rate of unemployment. The paper provides empirical evidence from the US economy consistent with this claim.     

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.     

International Trade and the Connection between Excess Demand and Inflation

This paper demonstrates that globalization, taking the form of a higher import component of consumption and a larger export component of GDP, is the cause of the apparent breakdown in the relationship between excess demand and inflation. Within a parsimonious empirical framework, we show that increasing openness of the US economy is all that is needed to re‐establish the relationship between inflation and capacity utilization. We also show that international trade has a significant separate influence on inflation, and is important for identifying a Phillips curve relationship between unemployment and inflation.     

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.     

Is the slope of the Phillips curve time-varying? Evidence from unobserved components models

This paper formally tests for time variation in the slope of the Phillips curve using a variety of measures of inflation expectations and real economic slack. We find that time variation in the slope of the Phillips curve depends on the measure of inflation expectations rather than the measure of real economic slack. We find strong evidence in support of the time-varying slopes of the Phillips curve with different measures of inflation expectations. Thus, we conclude that the slope of the Phillips curve is time-varying.     

Has US inflation really become harder to forecast?

Since the mid-1980s, Phillips curve forecasts of US inflation have been inferior to those of a conventional causal autoregression. However, little change in forecast accuracy is detected against the benchmark of a noncausal autoregression, more accurately characterizing US inflation dynamics.     

菲利普斯曲线非线性特征考察:来自失业率及通胀率等国际面板数据

通过利用OECD国家1971~2007年期间的失业率、通胀率等国际面板数据考察菲利普斯曲线的非线性特征。表明,菲利普斯曲线不是简单的线性关系,而是存在明显的非线性特征。面板门限模型和平滑转换模型的结论显示,通胀率与失业率的关系随着通胀率的变化而变化,在高通胀状态,二者的替代关系非常明显,而在低通胀状态,二者的替代关系则明显减弱甚至消失。     

Domestic and global output gaps as inflation drivers: What does the Phillips curve tell?

We study how domestic and global output gaps affect CPI inflation. We use a New-Keynesian Phillips curve framework which controls for non-linear exchange rate movements for a panel of 26 advanced and 22 emerging economies covering the 1994Q1−2017Q4 period. We find that both global and domestic output gaps are significant drivers of inflation both in the pre-crisis (1994–2008) and post-crisis (2008–2017) periods. Furthermore, after the crisis, in advanced economies the effect of the domestic output gap declines, while in emerging economies the effect of the global output gap declines. Our results suggest that emerging and advanced economies have become more similar to each other in terms of output gaps as inflation drivers. The paper demonstrates the usefulness of the New Keynesian Phillips curve in identifying the impact of global and domestic output gaps on inflation.     

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.     

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.     

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.     

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.      

Are monetary-policy reaction functions asymmetric?: The role of nonlinearity in the Phillips curve

This paper investigates the implications of a nonlinear Phillips curve for the derivation of optimal monetary policy rules. Combined with a quadratic loss function, the optimal policy is also nonlinear, with the policy-maker increasing interest rates by a larger amount when inflation or output are above target than the amount it will reduce them when they are below target. Specifically, the main prediction of our model is that such a source of nonlinearity leads to the inclusion of the interaction between expected inflation and the output gap in an otherwise linear Taylor rule. We find empirical support for this type of asymmetries in the interest rate-setting behaviour of four European central banks but none for the US Fed.