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Published in: Empirical Economics 4/2014

01-12-2014

Inflation uncertainty revisited: a proposal for robust measurement

Authors: Christian Grimme, Steffen R. Henzel, Elisabeth Wieland

Published in: Empirical Economics | Issue 4/2014

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Abstract

Any measure of unobserved inflation uncertainty relies on specific assumptions which are most likely not fulfilled completely. This calls into question whether an individual measure delivers a reliable signal. To reduce idiosyncratic measurement error, we propose using common information contained in different measures derived from survey data, a variety of forecast models, and volatility models. We show that all measures are driven by a common component, which constitutes an indicator for inflation uncertainty. Moreover, our results suggest that using only one individual disagreement measure may be misleading, particularly during turbulent times. Finally, we study the Friedman–Ball hypothesis. Using the indicator, we show that higher inflation is followed by higher uncertainty. By contrast, we obtain contradictory results for the individual measures. We also document that, after an inflationary shock, uncertainty decreases in the first two months, which is traceable to the energy component in CPI inflation.

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Appendix
Available only for authorised users
Footnotes
1
Mixed results with respect to the direction of causality are obtained inter alia by Grier and Perry (1998, 2000), Grier et al. (2004), and Berument and Dincer (2005). See also Davis and Kanago (2000) and Fountas and Karanasos (2007) and the papers cited therein.
 
2
The relation between disagreement and uncertainty is the subject of an ongoing debate. Bomberger and Frazer (1981), Bomberger (1996, 1999), and Giordani and Söderlind (2003) find supportive results, yet other studies report only a weak relationship or reject disagreement as a proxy (Zarnowitz and Lambros 1987; Lahiri et al. 1988; Rich and Butler 1998; Döpke and Fritsche 2006; Rich and Tracy 2010). Lahiri and Sheng (2010b) argue that disagreement is a reliable proxy for overall uncertainty if the forecast environment is stable.
 
3
See, for instance, the IMF Staff Position Note by Olivier Blanchard et al. (SPN/10/03), the comment by Ken Rogoff in the Financial Times on Aug 8, 2011, the address by Charles L. Evans at the Outlook Luncheon on Dec 5, 2011, and the comment by Paul Krugman in the NY Times on April 6, 2012.
 
4
We also computed the standard deviation and the quasi-standard deviation of forecasts (Giordani and Söderlind 2003). The quasi-standard deviation is defined as half the difference between the 84th and 16th percentiles. With normally distributed data, this measure equals the standard deviation. The correlation coefficient of these alternative dispersion measures and \(\mathrm{iqr}^s\) amounts to \(0.86\) and \(0.90\), respectively.
 
5
Giordani and Söderlind (2003) advocate the use of a “windowed” VAR—in opposition to a recursive VAR—where changes in the inflation process are quickly reflected in the parameter estimates.
 
6
See, for instance, Engle (1983), Cosimano and Jansen (1988), Brunner and Hess (1993), Grier and Perry (1996, 2000), Elder (2004), Grier et al. (2004) and Chang and He (2010).
 
7
See, for instance, Evans (1991), Evans and Wachtel (1993), Bhar and Hamori (2004), Berument et al. (2005), Caporale and Kontonikas (2009), and Caporale et al. (2012).
 
8
According to Lahiri and Sheng (2010b), overall forecast uncertainty is the sum of the variance of future aggregate shocks and the variance of idiosyncratic shocks. Model-based measures capture only the uncertainty common to all forecasters and neglect forecaster-specific shocks which are responsible for the disagreement among different forecasters.
 
9
Note that given the very similar factor loadings, PC1 remains virtually unaffected when we exclude one measure from the analysis. Our results thus do not hinge on one individual measure.
 
10
The results in this article remain unchanged when we replace PC1 with the average of the standardized measures. The results are available upon request.
 
11
Due to the CE survey, the main analysis is limited to a sample beginning in 1990. Hence, our sample covers a rather tranquil period as far as inflation is concerned. To see whether the results also hold for periods of high and volatile inflation, we conduct the analysis for the years 1970–1995 considering only the forecast-based and model-based approaches. Our results also hold for the earlier time-span. First, there appears to be a common component which explains the majority of the variation in the data (\(58~\%\)). Second, all individual measures contribute with a non-negligible weight. Third, the loadings are similar. Detailed results are available upon request.
 
12
The survey-based measures \(\mathrm{iqr}^s\) and \(\mathrm{ent}^s\) are also highly correlated with SPF uncertainty, which may be explained by the fact that these measures are also derived from a professional forecasters’ survey. For detailed results and a graphical representation, see Fig. 9 in the Appendix.
 
13
The result is robust to the choice of the lag length of the VAR according to BIC, which suggests two lags. Furthermore, it is robust if we exclude the recent crisis and end the sample in \(2007\):\(\text {M8}\), which is roughly when the US sub-prime crisis started to spill over into other sectors of the economy.
 
14
We also checked the reverse ordering of variables, which does not affect the results in a significant way.
 
15
See Fig. 11 in the Appendix for results obtained from monetary VARs containing output, inflation, a short-term interest rate, and uncertainty. Our results remain unaffected when a larger VAR is employed. Furthermore, the impulse response is qualitatively the same when we estimate the bivariate VAR on a sample ending in \(2007\):\(\text {M8}\); this result is available upon request.
 
16
Only two of the responses (\(\mathrm{iqr}^s\) and \(\mathrm{rmse}^f\)) are similar to the response of PC1. The individual impulse responses are presented in Fig. 10 in the Appendix.
 
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Metadata
Title
Inflation uncertainty revisited: a proposal for robust measurement
Authors
Christian Grimme
Steffen R. Henzel
Elisabeth Wieland
Publication date
01-12-2014
Publisher
Springer Berlin Heidelberg
Published in
Empirical Economics / Issue 4/2014
Print ISSN: 0377-7332
Electronic ISSN: 1435-8921
DOI
https://doi.org/10.1007/s00181-013-0789-z

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