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.     

A graphical representation of an estimated DSGE model

We write a New Keynesian model as an aggregate demand curve and an aggregate supply curve, relating inflation to output growth. The graphical representation shows how structural shocks move aggregate demand and supply simultaneously. We estimate the curves on US data from 1948 to 2010 and study two recessions: the 2001 recession and the Great Recession of 2008–2009. The Great Recession is explained by a collapse of aggregate demand driven by adverse preference and permanent technology shocks, and expectations of low inflation.     

The optimal neglect of inflation: An alternative interpretation of UK monetary policy during the “Great Moderation”

This paper argues that UK monetary policymakers did not respond to the inflation rate during most of the “Great Moderation” that ran from the early 1990s to the mid-2000s. We derive a generalisation of the New Keynesian Phillips curve in which inflation is a non-linear function of the output gap and show that the optimal response of the policy rule to inflation depends on the slope of the Phillips curve; if this is flat, manipulation of aggregate demand through monetary policy does not affect inflation and so policymakers cannot affect inflation. We estimate the monetary policy rules implied by a variety of alternative Phillips curves; our preferred model is based on a Phillips curve that is flat when output is close to equilibrium. We find that policy rates do not respond to inflation when the output gap is small, a situation that characterised most of the “Great Moderation” period.     

Nonlinearities in the U.S. wage Phillips curve

We examine the relationship between wage inflation and the unemployment rate in the U.S. economy for the 1964–2014 period by means of a three-regime threshold regression model. The estimated threshold parameters suggest that this relationship changes when the unemployment rate transitions between regimes defined by 5.61% and 7.63%. During mild recessions and their subsequent recoveries, the time-varying estimates of the model indicate a negative relationship between both variables, consistent with the implications of a wage Phillips curve (WPC) derived from the standard New Keynesian model with staggered wage setting in Galí (2011). However, we find that this relationship breaks down during deep recessions and their recovery periods, which explains the difference between wage inflation predicted by standard New Keynesian models and the observed low wage growth in the aftermath of the ‘Great Recession’. This finding and the fact that statistical tests strongly favor our three-regime model suggest that linear and two-regime models are insufficient to account for all the variability in the relationship between wage inflation and unemployment.     

Phillips curve in US: New insights in time and frequency

The paper explores the co-movement between unemployment and inflation rates in US by using a battery of wavelet tools. The dataset covers the period 1945Q1–2017Q4, having quarterly frequency.The main findings reveal a not stable Phillips curve in US, depending on economic context, seasonality and time-persistence. The Phillips curve is not validated during economic turbulences, while it works over expansion economic periods. Even so, the trade-off between unemployment and inflation is unstable under seasonal growth components and time-persistence, running from short- to medium-term. No link between unemployment and inflation is found in the long-term.     

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.     

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.     

The stability of the Turkish Phillips curve and alternative regime shifting models

This article, presents empirical evidence supporting instability of the Phillips curve in Turkey. We employ the multiple structural break models and the Markov-switching models and then evaluate the performance of the two models. The data pertain to the monthly inflation rate in Turkey for the period of 1987 to 2004. The results show that the Turkish Phillips curve is not linear. There exists no evidence on the asymmetry in the inflation response to output gap. The persistence of inflation is found to be much lower than in linear models. After 2001, slight decline in persistence of inflation is observed. There exits weaker support for the Phillips curve for the periods where the policymakers attempt to take the advantage of the tradeoff between output and inflation relationship.     

Output gap measurement and the New Keynesian Phillips curve for China

The New Keynesian Phillips curve implies that the output gap, the deviation of the actual output from its natural level due to nominal rigidities, drives the dynamics of inflation relative to expected inflation and lagged inflation. This paper exploits the empirical success of the New Keynesian Phillips curve in explaining China's inflation dynamics with a new measure of the output gap. We estimate the output gap using the Bayesian multivariate Beveridge–Nelson decomposition method, based on a multivariate dynamic model featuring distinct interactions among inflation, money, and real output in China. The empirical results using quarterly data spanning 1979–2010 show that the new measure of the output gap outperforms the traditional measures in fitting the New Keynesian Phillips curve. This result provides useful insights for inflation dynamics and monetary policy analysis in China.     

Is Globalization Weakening the Inflation–Output Relationship?

This paper investigates whether trade and financial openness has weakened the inflation–output trade‐off and caused a shift in the preferences of monetary authorities. Based on the backward‐looking Phillips curve and a Taylor‐type interest rate rule, our results for France, the UK and the USA for the 1970–2012 period do not provide support for the relevance of globalization in making inflation less responsive to output expansions. Moreover, the change of preferences of Central Banks towards growth‐oriented objectives is neither due to higher trade nor to financial globalization.     

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.     

Forecasting growth during the Great Recession: is financial volatility the missing ingredient?

The Great Recession endured by the main industrialized countries during the period 2008–2009, in the wake of the financial and banking crisis, has pointed out the major role of the financial sector on macroeconomic fluctuations. In this respect, many researchers have started to reconsider the linkages between financial and macroeconomic areas. In this paper, we evaluate the leading role of the daily volatility of two major financial variables, namely commodity and stock prices, in their ability to anticipate the output growth. For this purpose, we propose an extended MIDAS model that allows the forecasting of the quarterly output growth rate using exogenous variables sampled at various higher frequencies. Empirical results on three industrialized countries (US, France, and UK) show that mixing daily financial volatilities and monthly industrial production is useful at the time of predicting gross domestic product growth over the Great Recession period.     

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.     

Real wages,real interest rates,and the Phillips curve

This article argues that any analysis of a Phillips curve should include the real interest rate in addition to inflation and real wages as any changes in the interest rate changes the labour–capital input mix in the production process leading to a change in the level of employment in the economy. To justify this argument a Phillips curve model is developed, which includes the real interest rate in addition to inflation and real wages. After the diagnosis of the time series properties of the data, an error correction model is developed and estimated using a set of US annual data from 1948 to 1996. The estimated parameters of the model do suggest that one should really take into consideration of the real interest rate while analysing the Phillips curve. A non-nested test (F-test) also suggests that the Phillips curve model with real interest rate as an additional variable performs better than the conventional method that does not include the real interest rate.     

中国核心通胀率与产出缺口经验分析

利用新菲利普斯曲线,本文设定包含通胀与产出的非观测成分模型估计中国的核心通胀率与产出缺口。通过卡尔曼滤波平滑推断程序,季度通胀和产出均被分解为互相独立的趋势成分和周期成分。估计结果表明,二十年来我国的潜在产出变化相对于传统HP滤波结果更为平滑,其近似呈线性增长。这意味着我国产出特征可通过简洁的趋势平稳过程来描述,而Nelson and Plosser(1982)以来普遍采用的单位根过程未必是刻画我国产出的最优模型。核心通胀率推断还表明,1998-2002年间的通货紧缩并非如物价指数下降表现的一样严重。     

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.     

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.     

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.     

UNCERTAINTY AND MONETARY POLICY DURING THE GREAT RECESSION

We employ a nonlinear proxy-VAR approach to document the large response of real activity to a financial uncertainty shock during and in the aftermath of the Great Recession. We replicate this evidence with an estimated DSGE framework that we employ to quantify the output loss due to the large uncertainty shock that materialized in 2008Q4. We find such a shock to be able to explain about 60% of the output loss in the 2008–2014 period. Our model also points to the powerful role played by the Federal Reserve's systematic monetary policy in limiting the loss of output during the Great Recession.     

The shape of the Phillips curve: the case of Indonesia

It is recognized that the effectiveness of monetary policy in the control of inflation depends critically on the relationship between inflation and the output gap. During booms, inflation is highly sensitive to monetary influences, but during recessions this influence is considerably muted. However, econometric investigation of this phenomenon has mostly focussed on the developed economies. In this article, the shape of the Phillips curve is investigated for Indonesia. Evidence is found of significant nonlinearities in the inflation–output relationship for Indonesia and it is argued that this relationship is best modelled by the capacity-constraint (L-shape) model.