The effect of inflation uncertainty on inflation: Stochastic volatility in mean model within a dynamic framework

This paper investigates the effect of inflation uncertainty innovations on inflation over time by considering the monthly United States data for the time period 1976–2006. In order to investigate the effect of inflation uncertainty innovation on inflation, a Stochastic Volatility in Mean model (SVM) has been employed. SVM models are generally used to capture the innovation to inflation uncertainty, which cannot be achieved in the framework of popular deterministic ARCH type of models. Empirical evidence provided here suggests that innovations in inflation volatility increases inflation persistently. This evidence is robust across various definitions of inflation and different sub-periods.     

Fitting survey expectations and uncertainty about trend inflation

Many studies document that the inflation rate is governed by persistent trend shifts and time-varying uncertainty about trend inflation. As both these quantities are unobserved, a forecaster has to learn about changes in trend inflation by a signal extraction procedure. I suggest that the forecaster uses a simple IMA(1, 1) model because it is well suited to forecast inflation and it provides an efficient way to solve the signal extraction problem. I test whether this model provides a good fit for expectations from the Survey of Professional Forecasters. The model appears to be well suited to model observed inflation expectations if we allow for stochastic volatility. When I estimate the implied learning rule, results are supportive for the trend learning hypothesis. Moreover, stochastic volatility seems to influence the way agents learn over time. It appears that survey participants systematically adapt their learning behavior when inflation uncertainty changes.     

On the determinants of long-run inflation uncertainty: Evidence from a panel of 17 developed economies

Based on a cross section of 17 advanced economies and data for the period 1975 to 2015, we examine how the interaction between monetary policy and macroeconomic conditions affects inflation uncertainty in the long-term. We construct a proxy for the unobservable inflation uncertainty based on the slowly evolving long-term variance component of inflation from a Spline-GARCH model (Engle and Rangel, 2008). We show that long-run inflation uncertainty is high if an inflation-tolerant central bank governor is in power during a period of high inflation, if the policy rate is below the one that is prescribed by the Taylor rule and during times of heightened stock and exchange rate volatility.     

The impacts of regime-switching structures and fat-tailed characteristics on the relationship between inflation and inflation uncertainty

A great of deal of study has explored the relationship between inflation and inflation uncertainty under the assumptions of normal distribution and no regime shift. This paper attempts to investigate whether changes in the specification of distribution specification and regime shifts will affect the inflation-uncertainty relationship. Empirical results show that these two factors have a vital effect on the inflation-uncertainty relationship. A specification with four states and the Student’s t distributed error terms can successfully describe the dynamics of the inflation rate. After taking the non-normal density and independent regime shifts into account, this paper finds that inflation uncertainty has no impact on inflation, regardless of inflation pressure. Inflation has a negative impact on inflation uncertainty during periods of high inflation volatility, while the impact of inflation on inflation uncertainty is insignificant during periods of low inflation volatility.     

The link between inflation and inflation uncertainty: Evidence from G7 countries

In this paper we adopt the Markov-switching heteroscedasticity model to analyse the inflation series for G7 countries and examine the interaction between inflation rate and its uncertainty over both the short- and long-run. It is found that the relationship between inflation and inflation uncertainty depends on whether the shock is permanent or transitory. The relationship also differs from country to country. High uncertainty about long-run inflation is associated with a significant positive shift in inflation for Canada, Germany, and Japan. High uncertainty about short-run inflation is associated with a significant positive shift in inflation for Germany and USA, and a significant negative shift in inflation for Canada. The modelling approach employed in this paper is empirically supported by various diagnostics including the Vuong test. We also derive the two components of the variance of inflation forecast for a particular forecast horizon. It is found that the inflation uncertainty increases at all horizons in the middle of 1970s and return to the low level in the middle of 1980s.First version received: June 2001/Final version received: October 2003We would like to thank three anonymous referees for many helpful comments and suggestions.     

Inflation and inflation volatility in Thailand

Quarterly data for Thailand are used in this article for the period 1965q3–2013q4 to investigate both the relationship between inflation and inflation volatility, and the impact of inflation volatility on economic growth. Inflation volatility is estimated by deploying the generalized autoregressive conditional heteroscedastic (GARCH) technique. A Granger causality test is then conducted to examine the causality between inflation and inflation volatility. The empirical results obtained are consistent with a number of theoretical propositions. First, the results are consistent with the Friedman–Ball proposition, which states that a rise in inflation raises inflation volatility. Second, there is evidence supporting the Holland proposition that inflation volatility lowers the rate of inflation. This is consistent with the view that central banks attempt to stabilize inflation with the rise in inflation volatility. Third, empirical results obtained by asymmetric GARCH models suggest that inflation shocks have an asymmetric impact on inflation volatility (i.e. a positive inflation shock has a larger impact on inflation volatility – as measured by the logarithm of the conditional variance of inflation – than a negative inflation shock). Fourth, inflation volatility has an adverse impact on economic growth. Finally, given the fixed/pegged or managed float exchange rate system, US inflation has been found to have a positive impact on inflation and its volatility in Thailand. This article discusses the implications of empirical findings on the design and enactment of monetary policy for price stability in Thailand.     

Time–frequency relationship between US inflation and inflation uncertainty: evidence from historical data

We provide new evidence on the relationship between inflation and its uncertainty in the United States on an historical basis, covering the period from 1775 to 2014. First, we use a bounded approach for measuring inflation uncertainty, as proposed by Chan et al. (2013), and compare the results with the Stock and Watson (2007) and Chan (2015) methods. Second, we employ the wavelet methodology to analyze the comovements and causal effects between the two series. Our results provide evidence of a relationship between inflation and its uncertainty that varies across time and frequency. First, we show that in the medium and long runs, the Freidman–Ball hypothesis holds with a bounded measure of uncertainty, while if the Stock and Watson (2007) measure of uncertainty is used, the Cukierman–Meltzer reasoning prevails. Therefore, the findings are sensitive to the way inflation uncertainty is computed. Second, we discover mixed evidence about the inflation–uncertainty nexus in the short run, findings that explain the mixed results reported to date in the empirical literature.     

To converge or not converge: unit labor cost inflation in the Euro area

In this article, convergence of unit labor cost (ULC) inflation within the Euro area is tested by means of panel unit root tests. To account for the small cross-sectional dimension, cross-sectional dependence of model innovations and time varying volatility, wild bootstrap critical values are employed for inference. Convergence is tested separately for pre- and post-Euro introduction subperiods. Moreover, we identify particular economies that are characterized by diverging ULC inflation after the introduction of the Euro. While the German economy is characterized by ULC inflation which is persistently below the sample average, Spain and Italy have suffered sustained losses of price competitiveness against their trading partners within the Euro area. ULC inflation in Finland, France, and Ireland can be classified as neutral with respect to relative competitive positions.     

Has the 2008 financial crisis and its aftermath changed the impact of inflation on inflation uncertainty in member states of the european monetary union?

We study to what extent the financial crisis of 2008 and its aftermath have changed the impact of inflation on inflation uncertainty in the 12 original member states of the European Monetary Union (EMU). We adopt a time‐varying coefficient regression model with stochastic volatility effects, and extract two measures of inflation uncertainty from our data, namely, (1) The conditional volatility of inflation, (2) The conditional volatility of steady‐state inflation. (1)–(2) represent short‐run and steady‐state inflation uncertainty, respectively. The time‐varying impact of inflation on inflation uncertainty is analyzed using Markov‐switching regressions, where switching between the low and high inflation uncertainty regime is determined via an unobserved Markov process. Results suggest that the 2008 financial crisis and its aftermath have changed the impact of inflation on (1) and (2) across the selected EMU member states. However, a uniform pattern cannot be detected. For some member states, we document a strong link, whereas for others, the impact of inflation on inflation uncertainty is relatively weaker.     

Stock prices,inflation and inflation uncertainty in the U.S.: testing the long-run relationship considering Dow Jones sector indexes

We test for the long-run relationship between stock prices, inflation and its uncertainty for different U.S. sector stock indexes, over the period 2002M7–2015M10. For this purpose we use a cointegration analysis with one structural break to capture the crisis effect, and we assess the inflation uncertainty based on a time-varying unobserved component model. In line with recent empirical studies we discover that in the long run, the inflation and its uncertainty negatively impact the stock prices, opposed to the well-known Fisher effect. In addition we show that for several sector stock indexes the negative effect of inflation and its uncertainty vanishes after the crisis outburst. However, in the short run the results provide evidence in favour of a negative impact of uncertainty, while the inflation has no significant influence on stock prices, except for the consumption indexes. The consideration of business cycle effects confirms our findings, which proves that the results are robust, both for long- and short-run relationships.     

On the real effects of inflation and inflation uncertainty in Mexico

We estimate an augmented multivariate GARCH-M model of inflation and output growth for Mexico at business cycle frequencies. The main findings are: (1) inflation uncertainty has a negative and significant effect on growth; (2) once the effect of inflation uncertainty is accounted for, lagged inflation does not have a direct negative effect on output growth; (3) However as predicted by Friedman and Ball, higher average inflation raises inflation uncertainty, and the overall net effect of average inflation on output growth in Mexico is negative. That is, average inflation is harmful to Mexican growth due to its impact on inflation uncertainty. (4) The Mexican Presidential election cycle significantly raises inflation uncertainty both during the year of the election and the year following the election which has correspondingly negative effects on output growth.     

The effects of inflation uncertainty and supply shocks on real interest rates

Increased inflation uncertainty and negative supply shocks have been suggested separately as causes of the 1970s decline in real interest rates. When both factors appear in empirical interest rate models, supply forces exert a statistically significant impact on real rates while the effect of inflation uncertainty is insignificant.     

我国通货膨胀率均值过程和波动过程中的双长记忆性度量与统计检验

This paper uses the ARFIMA-FIGARCH model to investigate the China’s monthly inflation rate from January 1983 to October 2005. It is found that both first moment and second moment of inflation have remarkable long memory, indicating the existence of long memory properties in both inflation level and inflation uncertainty. By the Granger-causality test on inflation rate and inflation uncertainty, it is shown that the inflation level affects the inflation uncertainty and so supports Friedman hypothesis. Therefore, as for policy maker, they should roundly concerns on long memory properties of inflation and inflation uncertainty, and their single-direction relationship between them. __________ Translated from Guanli shijie 管理世界 (Management World), 2007, (7): 14–21     

A note of caution on the relation between money growth and inflation

We assess the bivariate relation between money growth and inflation in the euro area and the United States using hybrid time-varying parameter Bayesian VAR models. Model selection based on marginal likelihoods suggests that the relation is statistically unstable across time in both regions. The effect of money growth on inflation weakened notably after the 1980s before strengthening after 2020. There is evidence that this time variation is related to the pace of price changes, as we find that the maximum impact of money growth on inflation is increasing in the trend level of inflation. These results caution against asserting a simple, time-invariant relationship when modeling the joint dynamics of monetary aggregates and consumer prices.     

Macroeconomic effects of monetary policy in Korea: A time-varying coefficient VAR approach

Using a time-varying coefficient vector autoregressive (TVC-VAR) model, we assess how the efficacy of monetary policy innovations in stimulating real activity has evolved over time in Korea, as an example of emerging market countries, since 2000. We show that the responsiveness of output toward monetary policy innovations has decreased gradually since the early to mid-2000s, but monetary policy remains effective in boosting output even for the most recent sample. In addition, we find that the volatility of exogenous disturbances has decreased dramatically in the post-2000 period, and that this is the main driver of the recent volatility reductions of both output and inflation.     

The negative side of inflation targeting: revisiting inflation uncertainty in the EMU

ABSTRACT

This article tests the Friedman–Ball hypothesis for the European Monetary Union (EMU) countries, using a GARCH methodology. The empirical results show a positive relationship between inflation and inflation uncertainty, largely supportive of the Friedman–Ball hypothesis. Furthermore, the ECB’s price stability mandate is found to have asymmetric, if not limited, effects on inflation uncertainty since 1999, with the findings different for the so-called peripheral countries when compared to the core. For the majority of the EMU countries, shifts away from the 2% target served to increase inflation uncertainty. The credibility of the ECB since the financial crisis, in attempting to meet its 2% inflation target has seen inflation uncertainty increase for some, likely driven by inflation failing to re-anchor. Furthermore, recent periods of deflation are found to generate inflation uncertainty, with short-term price variability increasing in line with observed negative price growth for the majority of the EMU countries. The results are supportive of a U-shaped relationship between inflation and inflation uncertainty. Using spline techniques, we formally provide support for such a U-shaped relation where inflation uncertainty broadly increases below a certain threshold for each country’s inflation rate. Asymmetric effects across countries are found in the level of this threshold.     

Inflation, inflation uncertainty, and monetary policy in Turkey: 1960–1998

The authors constructed a time series of monthly inflation uncertainty in Turkey from 1960 to 1998 using GARCH models and investigated the link between inflation and inflation uncertainty using Granger tests. The authors found strong statistical support that inflation significantly raised inflation uncertainty in Turkey over the full sample period and three subsamples. The evidence on the effect of inflation uncertainty on average inflation is mixed and depends on the time period examined. An analysis of the political conditions and the record of macroeconomic policy making in Turkey between 1960 and 1998 reveal institutional and political factors that can help explain the empirical results.     

Time-varying persistence in US inflation

The persistence property of inflation is an important issue not only for economists, but especially for central banks, given that the degree of inflation persistence determines the extent to which central banks can control inflation. Further, not only is it the level of inflation persistence that is important in economic analyses, but also the question of whether the persistence varies over time, for instance, across business cycle phases, is equally pertinent, since assuming constant persistence across states of the economy is sure to lead to misguided policy decisions. Against this backdrop, we extend the literature on long-memory models of inflation persistence for the US economy over the monthly period of 1920:1–2014:5, by developing an autoregressive fractionally integrated moving-average-generalized autoregressive conditional heteroskedastic model with a time-varying memory coefficient which varies across expansions and recessions. In sum, we find that inflation persistence does vary across recessions and expansions, with it being significantly higher in the former than in the latter. As an aside, we also show that persistence of inflation volatility is higher during expansions than in recessions. Understandably, our results have important policy implications.     

Spillover Effects of Real and Nominal Uncertainties in India

This paper examines the spillover effects and the causality between inflation, output growth and its uncertainties for India. Using monthly data for the period from April 1980 to April 2011, we estimated a bi-variate GARCH in mean with BEKK representations. This study differs from the earlier works where the parameters in the BEKK representations are estimated individually and the inferences are drawn on the basis of the individual lagged variance, covariance, and error terms from the respective equations. The empirical evidence suggests that inflation uncertainty seems to have significant negative impact on output growth and positive impact on output uncertainty and there is a positive influence of output uncertainty on the inflation. More importantly, there are spillovers and volatility transmission effects between the macroeconomic uncertainties where the volatility in output growth is significantly influenced by the shocks and volatility in inflation.

     

Performance of inflation targeting in retrospect

Both inflation and inflation expectations declined considerably in the inflation targeting countries during the past two decades. The questions of whether this decline has actually been an outcome of inflation targeting solely and whether inflation targeting has been successful in stabilizing other macroeconomic variables though remain. This study considers these questions on the basis of 16 inflation targeting countries and 21 non-targeting ones using a difference-in-difference approach. With regard to the baseline period of 1996–1999 during which neither of the groups was implementing inflation targeting, a difference-in-difference approach was employed to assess the effects of inflation targeting on inflation, output growth, real exchange rates, inflation volatility and real exchange rate volatility during moving 4-year periods between 2007 and 2015. Our estimates suggest that inflation targeting was superior in terms of harnessing inflation as well as inflation volatility. In terms of economic growth, however, inflation targeting seems to be neutral and in terms of real exchange rates it seems not to be stabilizing, if not de-stabilizing. A hybrid version of inflation targeting, namely the conventional inflation targeting augmented by an improved capacity to deliver macro-prudence as in the post-Lehman economic climate, can therefore be viewed as the best available policy alternative for the upcoming decades.