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January 14, 2016

Recent Inflation Trends
Todd Clark and Christian Garciga

The Federal Reserve’s Federal Open Market Committee (FOMC) has set a long-run objective for consumer
price inflation, as measured by the price index for Personal Consumption Expenditures (PCE), of 2.0 percent. For some time, PCE-based measures of inflation
in the US have fallen short of this objective. The yearover-year percent change in the PCE price index was
0.4 percent in November, the most recent observation
available; this inflation measure has been below 0.5
percent throughout 2015. The year-over-year percent
change in the core PCE price index (which excludes
food and energy prices) was 1.3 percent in November;
this indicator has been below 1.5 percent every month
of the year.
CPI measures of inflation paint a more mixed picture
of price trends. Overall CPI inflation, like PCE inflation, has been stable at an extremely low level. On a
year-over-year basis, overall CPI inflation was 0.4 percent in November. But measures of core CPI inflation
have been drifting up. The core CPI (which excludes
food and energy prices) was 2.0 percent in November,
compared to 1.6 percent at the beginning of the year.
On a year-over-year basis, the median CPI published
by the Cleveland Fed (which excludes all items except
the one in the middle of the price-change distribution)
was 2.5 percent in November, up from 2.2 percent in
January.

Inflation Measures: 12-Month Percent Change
12-month percent change
4.0

3.0
FRBC
median CPI
Core CPI

2.0
-

Core PCE

1.0
CPI
PCE

0.0

-1.0
2010

2011

2012

2013

2014

2015

Last observation: November 2015.
Sources: Bureau of Economic Analysis, Bureau of Labor Statistics, Federal Reserve Bank of
Cleveland.

What do these recent moves in 12-month inflation
rates mean for underlying trend inflation rates? Trend
inflation can be thought of as the rate of inflation that
would be expected to prevail if there were no temporary factors, such as a level of economy activity below
the economy’s potential, influencing the inflation rate.
Put another way, trend inflation is the inflation rate that
we would expect after temporary factors subside.
There are a number of ways to estimate trend inflation. Different approaches can be reasonable because, with the available data, it can be difficult to distinguish a change in trend from a persistent deviation
of inflation from the trend. One model might attribute
a long-running change in inflation to a change in the
trend, while another attributes the change to a persistent deviation of inflation from an unchanged trend.
Both models may nonetheless predict a similar path of
inflation in the future.
This article compares the implications of four different
measures of the inflation trend. The measures have
been found to forecast relatively well, yet they are
quite different. Three stood out in a recent research
study which compared how well different measures of
trend inflation forecasted inflation from 1975 through
2012 (see Clark and Doh 2014). The fourth is a new
model of trend inflation that makes use of data on
both inflation and long-run inflation expectations from
surveys in estimating trend inflation (see Chan, Clark,
and Koop 2015).
Our analysis uses quarterly data on overall PCE inflation, core PCE inflation, and core CPI inflation through
late 2015 to assess what each model says about the
current trend rate of inflation and what each implies
for the inflation outlook. (For comparison, earlier
analyses are available from 2014 and 2015.) For the
fourth quarter of 2015, the nowcasts of inflation obtained from the methods of Knotek and Zaman (2014)
are used as actual values of fourth-quarter inflation
rates. These nowcasts reflect published monthly PCE
and CPI prices for October and November and forecasts for December. Note that the charts below show
historical inflation rates measured on a four-quarter
basis, as opposed to the 12-month basis used in the
chart above.

Four Measures of Trend Inflation
One approach to measuring trend inflation (denoted
survey-based trend inflation below) is to define it as
the long-run forecast of professional forecasters. The
forecast used is the 10 year annual-average inflation
forecast from the Survey of Professional Forecasters
(SPF). By this measure, trend inflation has remained
stable: The survey estimates of long-run inflation
haven’t changed much. This definition of trend inflation implies that the recent decline in PCE inflation
(overall and core) is a persistent deviation from an
unchanged trend, rather than a change in the trend
itself. The same is true for core CPI inflation, although
the recent rise in core inflation means the deviation of
inflation from the trend has declined in recent months.

Survey-Based Trend Inflation: PCE
Four-quarter percent change
4.0

3.0
Estimated
trend
inflation

2.0

1.0
PCE
0.0

-1.0
2005

2007

2009

2011

2013

Note: Shaded bar indicates a recession.
Sources: Bureau of Economic Analysis, Survey of Professional Forecasters.

Survey-Based Trend Inflation: Core PCE

Survey-Based Trend Inflation: Core CPI

Four-quarter percent change

Four-quarter percent change
3.0

3.0

Estimated
trend
inflation

2.0

2015

Estimated
trend inflation
Core CPI

2.0

Core PCE
1.0

1.0

0.0
2005

2007

2009

2011

2013

0.0
2005

2015

Note: Shaded bar indicates a recession.
Sources: Bureau of Economic Analysis, Survey of Professional Forecasters.

2007

2009

2011

2013

Note: Shaded bar indicates a recession.
Sources: Bureau of Labor Statistics, Survey of Professional Forecasters.

Trend Inflation from Model 1: PCE

Trend Inflation from Model 1: Core PCE

Four-quarter percent change

Four-quarter percent change
3.0

4.0

70% confidence
interval around
trend inflation

3.0

2015

70% confidence
interval around
trend inflation
2.0

2.0

1.0

Core PCE

Estimated
trend
inflation

PCE

1.0

0.0

-1.0
2005

2007

2009

2011

2013

Note: Shaded bar indicates a recession.
Source: Bureau of Economic Analysis, authors’ calculations.

2015

0.0
2005

Estimated
trend
inflation

2007

2009

2011

Note: Shaded bar indicates a recession.
Source: Bureau of Economic Analysis, authors’ calculations.

2013

2015

A second measure of trend inflation can be obtained
from a statistical model (denoted Model 1 at right) that
uses information from both inflation and long-run inflation expectations obtained from the Survey of Professional Forecasters (see Chan, Clark, and Koop 2015
for details). These estimates imply trend inflation to be
stable, at levels below 2 percent: 1.7 percent for overall PCE inflation, 1.5 percent for core PCE inflation,
and 1.9 percent for core CPI inflation. Accordingly, at
present, overall PCE inflation is far below trend, core
PCE inflation is slightly below trend, and core CPI
inflation is slightly above trend.
A third approach to quantifying trend inflation relies on
a simple statistical model (denoted Model 2 at right)
that decomposes inflation into a trend component and
noise – very temporary deviations from trend (see
Stock and Watson 2007 for details). According to this
approach, trend inflation rates for PCE measures
have fallen noticeably over the past several years but
remained fairly stable in 2015. In contrast, the trend
in core CPI inflation edged up in 2015. However,
the estimate of trend from this model has been quite
variable over time, and it tends to move somewhat in
line with actual inflation. According to this method, the
recent disinflation in PCE prices looks to be caused by
both the decline in the trend and temporary deviation
from it. This implication was noted in the 2014 and
2015 analyses as well.

Trend Inflation from Model 1: Core CPI
Four-quarter percent change
3.0

70% confidence
interval around
trend inflation

2.0

Core CPI
Estimated
trend
inflation

1.0

0.0
2005

2007

2009

2011

2013

Note: Shaded bar indicates a recession.
Source: Bureau of Labor Statistics, authors’ calculations.

Trend Inflation from Model 2: PCE
Four-quarter percent change
4.0
70% confidence
interval around
trend inflation

3.0

2.0

1.0

0.0

Estimated
trend
inflation

-1.0
2005

PCE

2007

2009

2011

2013

Trend Inflation from Model 2: Core CPI

Four-quarter percent change

Four-quarter percent change
3.0
70% confidence
interval around
trend inflation

Core PCE

0.0
2005

70% confidence
interval around
trend inflation
Core CPI

2.0

2.0

2.0

2015

Note: Shaded bar indicates a recession.
Source: Bureau of Economic Analysis, authors’ calculations.

Trend Inflation from Model 2: Core PCE
3.0

2015

Estimated
trend
inflation

2007

1.0

2009

2011

Note: Shaded bar indicates a recession.
Source: Bureau of Economic Analysis, authors’ calculations.

2013

2015

0.0
2005

Estimated
trend
inflation

2007

2009

2011

Note: Shaded bar indicates a recession.
Sources: Bureau of Labor Statistics, authors’ calculations.

2013

2015

A fourth measure of trend inflation comes from a
model (denoted Model 3 here) that decomposes inflation into a trend component and somewhat persistent
deviations from trend (see Cogley and Sargent 2005
for details). By this measure, trends in PCE and core
PCE inflation have moved down gradually in recent
years, whereas the trend for core CPI inflation has
been stable. At this point, core measures of inflation
are approximately at their respective trends from this
model, but PCE inflation is well below trend.

Trend Inflation from Model 3: PCE
Four-quarter percent change
4.0
70% confidence
interval around
trend inflation

3.0

2.0

1.0

0.0

Estimated
trend
inflation

PCE

Implications for the Inflation Outlook

-1.0
2005

Overall, despite some significant differences among
them, these four trend inflation models have been
similarly successful in predicting future inflation in the
past. So it is not easy or possible to say which will
give the most accurate forecast going forward. But at
this time, for the most part the different models imply
similar outlooks for inflation over 2016 and 2017, with
PCE inflation rising gradually in most cases and core
inflation remaining in the vicinity of recent levels.

Note: Shaded bar indicates a recession.
Source: Bureau of Economic Analysis, authors’ calculations.

More specifically, for overall PCE prices, all four
models project a rise in inflation this year to around
1 percent. Three of the four models project that PCE
inflation will continue to rise gradually, to between 1.3
and 1.7 percent in late 2017; the other model (Model
2) forecasts that inflation will remain at about the
model’s long-run trend rate of 1 percent. For the core
PCE measure, all four models project inflation will remain around 1.5 percent. Two of the model forecasts
(Model 2 and Model 3) show inflation to be more or
less flat, at about 1.4 percent in late 2017. The other
two models predict a small, gradual uptick in core
PCE inflation, to 1.5 or 1.6 percent in late 2017. Similarly, all of the models forecast a more or less flat path
of core CPI inflation, ranging from 1.9 to 2.1 percent in
late 2017.

2007

2009

2011

2013

2015

Trend Inflation from Model 3: Core PCE
Four-quarter percent change
3.0
70% confidence
interval around
trend inflation
2.0

Core PCE
1.0

0.0
2005

Estimated
trend
inflation

2007

2009

2011

2013

2015

Note: Shaded bar indicates a recession.
Source: Bureau of Economic Analysis, authors’ calculations.

Trend Inflation from Model 3: Core CPI
Four-quarter percent change
3.0

2.0

1.0

Core CPI

Estimated
trend
inflation

70% confidence
interval around
trend inflation

References
Chan, Joshua C.C., Clark, Todd E., and Koop, Gary (2015). A New Model
of Inflation, Trend Inflation, and Long-Run Inflation Expectations. Federal
Reserve Bank of Cleveland Working Paper 15-20.
Clark, Todd E., and Doh, Taeyoung. (2014). Evaluating alternative models
of trend inflation. International Journal of Forecasting, 30, 426-448.

0.0
2005

2007

2009

2011

Note: Shaded bar indicates a recession.
Sources: Bureau of Labor Statistics, authors’ calculations.

2013

2015

References (continued)
Cogley, Timothy, and Sargent, Thomas J. (2005). Drifts and volatilities:
monetary policies and outcomes in the post-World War II US. Review of
Economic Dynamics, 8, 262-302.

Forecasts of PCE Inflation
Knotek, Edward S. II, and Zaman, Saeed (2014). Nowcasting U.S. Headline and Core Inflation. Federal Reserve Bank of Cleveland Working Paper
14-03.

Four-quarter percent change
3.5

Forecast

3.0

Stock, James H., and Watson, Mark W. (2007). Has US inflation become
harder to forecast? Journal of Money, Credit, and Banking, 39, 3-33.

2.5
2.0
1.5

Model 1 forecast
Survey-based forecast
Model 3 forecast
Model 2 forecast

PCE

1.0
0.5
0.0
2013

2014

2015

2016

2017

Source: Bureau of Economic Analysis, authors’ calculations.

Forecasts of Core PCE Inflation
Four-quarter percent change
3.5

Forecast

3.0
2.5
2.0

Survey-based
forecast
Model 1 forecast
Model 2 forecast
Model 3 forecast

1.5
Core PCE
1.0
0.5
0.0
2013

2014

2015

2016

2017

Source: Bureau of Economic Analysis, authors’ calculations.

Forecasts of PCE Inflation
Four-quarter percent change
3.5

Forecast

3.0
2.5
2.0
1.5

Model 1 forecast
Survey-based forecast
Model 3 forecast
Model 2 forecast

PCE

1.0
0.5
0.0
2013

2014

2015

2016

Source: Bureau of Economic Analysis, authors’ calculations.

2017

Todd Clark is a vice president and economist in the Research Department at the Federal Reserve Bank of Cleveland. He specializes in
research related to monetary policy and macroeconomics.
Christian Garciga is a research analyst in the Research Department at the Federal Reserve Bank of Cleveland. His primary interests
include time series econometrics, Bayesian statistics, and macroeconomics.
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