View original document

The full text on this page is automatically extracted from the file linked above and may contain errors and inconsistencies.

April 1997

Volume 3 Number 6

Are There Good Alternatives to the CPI?
Charles Steindel

Critics of the consumer price index—the most widely watched inflation measure—contend that it
overstates inflation by as much as 1 percentage point a year. Some have argued that alternative
indexes eliminate the CPI’s upward bias and offer a more accurate reading of inflation levels.
A closer look at these alternatives, however, reveals that they have substantive problems of
their own, suggesting that the CPI, though flawed, is still our most reliable indicator of
changes in inflation.
The U.S. economy has enjoyed fifteen years of disinflation. As growth in living costs trends downward and the
goal of price stability seems attainable, policymakers
are increasingly concerned with the precision of their
inflation measures. Differences between existing price
series have assumed new importance, and the search is
on for the most reliable indicator of our progress toward
stable prices.
The most widely watched inflation series at present,
the consumer price index (CPI), puts inflation in the
neighborhood of 3 percent. Many observers contend,
however, that we are much closer to price stability than
the CPI would suggest. In their view, the CPI tends to
overstate the true rate of inflation by about 1 percentage
point a year.1 Support for this interpretation comes from
other inflation measures such as the chain-weighted
price indexes for gross domestic product (GDP) and
personal consumption expenditures (PCE), which have
been recording inflation rates as much as 1 percentage
point lower than the CPI’s rate.
In response to concerns that the CPI is upwardly
biased, a group of scholars appointed by the Senate
Finance Committee has made recommendations for
improving the index (Boskin et al. 1996). In addition,
Federal Reserve Chairman Alan Greenspan has proposed that a commission be charged with assessing the
growth in the true cost of living each year. The commis-

sion’s estimates would be used in place of the CPI to set
cost-of-living allowances for social security recipients
and to adjust tax brackets and personal exemptions
(Greenspan 1997).
This edition of Current Issues examines whether alternative measures—specifically, the chain-weighted GDP and
PCE indexes—provide a better fix on inflation than the CPI
does. If either measure is in fact superior to the CPI, policymakers might rely on it to track inflation, index benefits,
and set tax brackets. The analysis reveals, however, that both
alternative indicators have problems at least as serious as
those of the CPI—which, despite its flaws, still appears to
be, of all inflation measures, “the best currently available”
(Boskin et al. 1996).
Measuring Inflation
Economic theory offers clear guidelines on the proper
measurement of inflation. If inflation is defined as the
increase in a household’s cost of living, then an inflation
measure should capture the increase in current-dollar
income necessary to allow a consumer to purchase a bundle
of goods and services that will leave him or her as satisfied
now as in the prior period. To calculate the additional
income needed to maintain this level of satisfaction,
analysts need to construct an aggregate price index that
meets the following criteria:

CURRENT ISSUES IN ECONOMICS AND FINANCE

the index. These procedures have now reached very high
degrees of sophistication (Bureau of Labor Statistics 1992;
Boskin et al. 1996).

• It should record only those costs that contribute
directly to consumer satisfaction in the period
specified. For instance, the full purchase price
of a new car should not be included, since the
car will be used for a long time, but the costs of
owning a car over the period, such as depreciation costs and auto loan interest costs, should be
taken into account.

The CPI is a monthly measure, usually released
about three weeks after the end of each month. It is
revised only to account for changes in seasonal adjustment factors. 2 In contrast, the PCE index for each
month is released a week or two after the CPI and is

• The measure of price change for an individual
item should correct for changes in quality or
other characteristics, such as changes in the
material in a shirt.

The CPI, compiled by the U.S. Labor
Department’s Bureau of Labor Statistics,
has been the benchmark measure of U.S.
inflation since World War I.

• Growth in the index should take into account
changes in the composition of consumer expenditures over time. Indexes that account for these
changes according to certain criteria, such as the
chain-weighted GDP and PCE indexes, are said to
be superlative indexes; indexes such as the CPI
are known as Laspeyres indexes (see box).

subject to continual revision, not only to account for
changes in seasonal adjustment factors, but also for reasons such as changes in estimates of consumer spending
patterns. The GDP index—released a day ahead of the
monthly PCE—is compiled only for quarterly data and
is also subject to continual revision.

The CPI and Its Rivals
The CPI, compiled by the U.S. Labor Department’s Bureau
of Labor Statistics (BLS), has been the benchmark measure
of U.S. inflation since World War I. Over the years, BLS has
updated and improved both the design of the CPI and the
procedures used to collect prices of individual items used in

Despite its enhancements over the years, the CPI still
has considerable problems as an inflation measure. For
instance, the index overstates many individual price

Types of Price Indexes
There are two major indexes of this type: the Fisher
Ideal index and the Tornqvist index. The Fisher Ideal
index for a period is the geometric average of the corresponding Laspeyres and Paasche indexes. The GDP and
PCE indexes are “linked” or “chained” Fisher Ideal
indexes.* Growth in the Tornqvist index is computed as a
weighted average of price increases for individual items,
with the weights being the average of the corresponding
weights in the growth of the Laspeyres and Paasche
indexes. There is little real difference in the design of, or
the estimates made by, the two superlative measures.

Laspeyres: A Laspeyres index measures the current cost,
relative to the past cost, of a particular bundle of goods
and services consumed or produced some time in the
past, known as the base period. The CPI is a Laspeyres
index. Growth in a Laspeyres index is a weighted average
of growth in the cost of each item, with the weights
directly related to the increase in the price of each item
since the base period. A Laspeyres index tends to overstate inflation because it does not take into account a
household’s willingness and ability to reduce its consumption of items whose prices are rising rapidly.

The superlative indexes yield very good approximations of true inflation. Nevertheless, the indexes present
one important practical difficulty: their calculations of
inflation in a period rely on the Paasche price index,
which cannot be computed until the period ends and the
pattern of expenditures has been observed. Superlative
indexes therefore can only be estimated, not observed,
on an ongoing basis.

Paasche: A Paasche index measures the current cost, relative to the past cost, of the currently consumed bundle of
goods and services. Growth in a Paasche index understates inflation because current spending patterns reflect
in part household consumption of more of some items
simply because their prices are rising more slowly.
Superlative: Superlative indexes are designed to correct
the problems of both the Laspeyres and Paasche indexes.
In the last twenty years, a compelling theoretical case has
been made for the use of superlative indexes (Diewert
1976, 1987).

FRBNY

* The terms come from the annual updating of the Laspeyres
index base period and the linking or chaining of the computed
annual growth rates to build the reported index, with the value of
the index set at 100 for some arbitrary year.

2

The GDP Index. In light of the CPI’s problems, it is
worth looking at other inflation measures, one of which
is the chain-weighted price index for GDP. This series,
compiled by the U.S. Commerce Department’s Bureau
of Economic Analysis (BEA), is a measure of the cost
of all goods and services produced in the United States.
Annual growth in the GDP index is computed using the
superlative Fisher Ideal method (see box).5 Over the last
few years, the GDP measure has typically grown less
rapidly than the CPI (Chart 1). Since the GDP index is
more comprehensive than the CPI (it includes prices for
more items), is designed in accordance with standard
price index theory, and seems less biased than the CPI
in recent years (because of its less rapid growth), it
appears to be a better measure of inflation.

Chart 1

Comparison of the Growth Rates of the CPI
and the GDP Index
Percent
5

4

CPI
3

2

GDP index

Despite its superficial advantages, upon examination
the GDP price index appears no better, and may well be
worse, than the CPI. On balance, the more comprehensive
nature of the GDP index is most likely a disadvantage. To
a greater extent than the CPI, the GDP index includes the
acquisition prices of long-lived goods and structures. As
noted earlier, the inclusion of these prices compromises a
price index’s ability to track the cost of living. Moreover,
the GDP index includes many “one-of-a-kind” items,
such as factories, that are quite difficult to price. It also
includes very hard-to-measure prices from the government sector: for example, how does one price the protective services of the armed forces?

1

1991

1992

1993

1994

1995

1996

Sources: U.S. Department of Labor, Bureau of Labor Statistics; U.S. Department
of Commerce, Bureau of Economic Analysis.
Note: The CPI growth rate is calculated as the quarterly annualized change.

increases by failing to fully adjust posted price changes for
quality improvements and by underestimating the growth of
sales by discount retailers.3 Furthermore, the techniques
used by BLS to combine individual price changes into an
aggregate measure can also result in an overstatement of
inflation. The CPI’s growth is computed as the increase in
the cost of a group of goods and services selected on the
basis of 1982-84 surveys of household spending. This procedure does not take into account a consumer’s ability to
offset part of the discomfort caused by any one item’s price
increase by purchasing less of that item and more of another
one (for instance, by buying more chicken following an
increase in beef prices).4 In other words, the true cost of living will not grow as fast as the CPI, even if we correct for
the CPI’s overstatements of individual price changes.

Another drawback of the GDP index is that it measures the prices of goods and services produced in the
United States—as opposed to the CPI, which measures
the prices of goods and services purchased by

Despite its superficial advantages,
upon examination the GDP price
index appears no better, and may well
be worse, than the CPI.

Further compromising the CPI as a measure of the cost
of living is its incorporation, in contradiction of economic
theory, of the purchase price of numerous long-lived
goods, such as cars and furniture, rather than the cost of
owning these items over time. It is not clear, however,
whether this practice adds to or subtracts from the CPI’s
overstatement of inflation.

Americans. This distinction is important because the
prices of exports are included in the GDP index, but the
prices of imports are not—at least not directly. 6 An
inflation index aimed at measuring the costs incurred
by Americans should use the CPI’s procedure of including import prices but excluding export prices.

In addition, the CPI is not a reliable measure of inflation over long time periods. Changes in procedures used
by BLS to collect individual prices have made it difficult
for analysts to compare CPI inflation data from earlier
periods with data from the current period. For instance,
CPI data from the 1970s and the 1990s differ markedly
because of changes in the way housing prices are calculated. Even from year to year, smaller changes in data collection methods make comparisons problematic.

Furthermore, the GDP index is not really independent
of the CPI, since it uses a great deal of CPI data—for
instance, data on food and clothing costs—to measure the
prices of many items. Hence, the GDP index shares many
of the CPI’s technical flaws. Of course, the incorporation

3

CURRENT ISSUES IN ECONOMICS AND FINANCE

some upward bias to preliminary readings of growth in
the PCE index, though probably not as much as in the
case of the CPI.

Chart 2

Comparison of the Growth Rates of the CPI
and the PCE Index

Moreover, revised values of the PCE index are imperfect estimates of the Fisher Ideal price index. The PCE
measure uses the real consumption expenditures data of
the BEA’s National Income and Product Accounts to
proxy for expenditure patterns. These data are just revisable estimates of current spending patterns (Shapiro and
Wilcox 1996b; Triplett 1996).

Percent
4

CPI
3

Correct estimation of spending patterns is a practical
as well as an academic issue. Over the past two years, CPI
growth has edged up while PCE growth has remained
largely unchanged. In the PCE index, increases in food
and energy prices have been offset by moderation in other
areas, most notably in the cost of medical care. In the CPI,
accelerated food and energy price increases have not been
fully offset elsewhere, in part because the CPI gives less
weight to the medical cost slowdown. It is perfectly conceivable, however, that future data revisions will lessen
the impact of the medical cost slowdown on the PCE
index, and this measure too may exhibit a modest pickup
in the 1995-96 period.8

2

PCE index
1

1991

1992

1993

1994

1995

1996

Sources: U.S. Department of Labor, Bureau of Labor Statistics; U.S. Department
of Commerce, Bureau of Economic Analysis.
Note: The CPI growth rate is calculated as the quarterly annualized change.

of CPI data does not by itself make the GDP index an
inferior inflation measure.

Although the PCE index may ultimately show a clear
superiority to the CPI, thus far it has not done so. The advantages of the PCE may lie more in its conceptual design than

The PCE Index. Many problems with the GDP
index stem from its inclusion of prices for items not
purchased by consumers. Therefore, the price index for
the consumer portion of the GDP series—the chainweighted PCE price index, also compiled by the BEA—
might appear to be a good alternative to the CPI. The
CPI and the PCE are measures of aggregate prices for a
very similar bundle of goods and services and, to a large
extent, the PCE uses the same data as the CPI to price
individual items.7 Despite these similarities, growth in
the PCE is generally a bit lower than growth in the CPI
(Chart 2), so the PCE—like the GDP index—appears to
remove much of the CPI’s upward bias.

Although the PCE index may
ultimately show a clear superiority
to the CPI, thus far it has not done so.

in the published data themselves—particularly the initial
estimates. While the PCE may be a better measure of the
average pace of inflation than the CPI over some prolonged
period, the uncertainty surrounding the PCE’s preliminary
readings suggests that it may not be any better at detecting
period-to-period changes in inflation. In many policy contexts, knowing that inflation has increased over a period of
time can be more valuable than knowing its precise average
rate over the last year or so.

A major difference between the PCE index and the
CPI is the PCE’s purported use of the superlative Fisher
Ideal technique to combine individual price increases
into aggregate inflation. For this reason alone, it would
seem that the PCE index is a better inflation measure
than the CPI. However, on further examination, the
advantages of the PCE are less clear-cut. For example,
the initial estimates of the PCE series are actually not
computed by the Fisher Ideal technique, because as
noted in the box, the technique cannot be readily
applied to incoming data. Instead, the inflation measure
used to calculate the initial estimates is the growth in
the cost of a bundle of goods and services reflecting
recent expenditure patterns. Hence, the PCE, as it is
first published, is a Laspeyres index similar to the CPI
(Landefeld and Parker 1995). This procedure gives

Conclusion
The CPI clearly has its faults—most notably, it probably
overstates the true pace of inflation. However, recent
research has greatly increased our understanding of the
CPI’s problems and can help us monitor the incoming
data better and guide improvements in the index.9
Alternate inflation indexes—particularly the GDP price
index, but also to some extent the PCE index—are not as
attractive as they might appear. There might be a temptation

4

FRBNY

as gauged by expenditure share, are taken straight from prices of
individual components of the CPI (Triplett 1996).

at first to abandon the CPI in their favor because the basic
design of these indexes is better than that of the CPI and
they have been growing more slowly than the CPI in recent
years. However, closer investigation reveals that these
indexes have drawbacks of their own.

8. The difference in the importance of medical costs partly
reflects a difference in the design of the two indexes. The CPI
includes only out-of-pocket medical costs, while the PCE
attempts to include all household medical expenses, no matter
who pays for them. Both approaches can be justified. If the goal
of an inflation measure is to capture the growth in the cost of all
items consumed by households, it makes sense to include thirdparty payments to medical providers. In contrast, if one wishes to
use changes in an overall price measure to index cash income, it
may be better to include only out-of-pocket costs.
In addition, the medical price component of the PCE index has
recently been growing more slowly than that of the CPI. This difference has also contributed a bit to the recent divergence
between the two indexes. BLS is modifying its procedures for calculating the medical cost component of the CPI in the direction of
those used in the PCE.

In sum, although the CPI does not measure true inflation, we currently have no thoroughly viable alternatives
to it as an easy-to-use and fairly reliable guide to inflation
movements. Although problems can arise when the CPI is
used indiscriminately as a measure of the cost of living,
the index does offer an appropriate starting point from
which to make adjustments.

Notes
1. For example, see Lebow, Roberts, and Stockton (1992); Wynne
and Sigalla (1994); and Shapiro and Wilcox (1996a).

9. An additional concern in using the CPI or any other price measure
to track inflation involves the filtering out of period-to-period noise in
the data stemming from aberrant changes in a few individual prices
(Bryan and Cecchetti 1993; Cecchetti 1996).

2. An unrevised inflation measure like the CPI may be useful in determining annual cost-of-living adjustments in private contracts and government programs because revisions cannot be easily incorporated into
indexing formulas. Nevertheless, if an inflation series is initially estimated incorrectly, it seems reasonable to revise it.

References
3. In April 1997, BLS released an experimental version of the CPI
that addresses one technical problem contributing to the overstatement of price increases for individual items. Essentially, the new
index makes an adjustment for the likelihood that consumers will
shift their purchases to items on sale (Bureau of Labor Statistics
1997). BLS anticipates that this correction will cause the experimental index to grow perhaps 1/4 of a percentage point more slowly
than the standard CPI.
Although the technical problem addressed is an important one, it
has little bearing on our analysis of the relative strengths and weaknesses of the different price indexes. Because the GDP and PCE
measures incorporate CPI data on individual prices, they share this
problem with the CPI.
The experimental BLS index will be issued on a monthly basis,
one week after the regular report. BLS may eventually make it the
official index.

Boskin, Michael J., Ellen R. Dulberger, Robert J. Gordon, Zvi
Griliches, and Dale Jorgensen. 1996. Toward a More Accurate
Measure of the Cost of Living. Final Report to the Senate
Finance Committee from the Advisory Commission to Study the
Consumer Price Index. December 4.
Bryan, Michael F., and Stephen G. Cecchetti. 1993. “The Consumer
Price Index as a Measure of Inflation.” Federal Reserve Bank of
Cleveland Economic Review 29, no. 3.
Cecchetti, Stephen G. 1996. “Measuring Short-Run Inflation for
Central Bankers.” Paper presented at the Conference on
Measuring Inflation and Real Growth, Federal Reserve Bank of
St. Louis, October.
Diewert, W. Erwin. 1976. “Exact and Superlative Index Numbers.”
Journal of Econometrics 4 (May).

4. A household is not as well off after this change is made as it was
before the beef price increase. Nonetheless, the switch in buying
patterns will leave the household better off than if it continued to
buy the same amount of beef: the money saved by buying less beef
and more chicken can be used for other purposes and will soften the
blow of the beef price increase.

———. 1987. “Index Numbers.” In John Eatwell, Murray Milgate,
and Peter Newman, eds., The New Palgrave: A Dictionary of
Economics. New York: Stockton Press.
Greenspan, Alan. 1997. Statement before the U.S. Senate
Committee on Finance. Hearing on the U.S. economy and the
budget. 105th Cong., 1st sess., January 30.

5. Quarterly readings of the chain-weighted series are not constructed
using the Fisher Ideal method (Landefeld and Parker 1995).
6. Import prices will, of course, influence the price of domestically
produced items through competitive pressure.

Landefeld, J. Steven, and Robert P. Parker. 1995. “Preview of the
Comprehensive Revision of the National Income and Product
Accounts: BEA’s New Featured Measures of Output and Prices.”
Survey of Current Business 75 (July).

7. About three-fourths of the prices for individual items in the PCE,

5

FRBNY

CURRENT ISSUES IN ECONOMICS AND FINANCE

Lebow, David E., John M. Roberts, and David J. Stockton. 1992.
“Economic Performance under Price Stability.” Federal Reserve
Board Economic Activity Working Paper no. 125, April.
Shapiro, Matthew D., and David W. Wilcox. 1996a. “Alternative
Strategies for Aggregating Prices in the CPI.” Paper presented at
the Conference on Measuring Inflation and Real Growth,
Federal Reserve Bank of St. Louis, October.
———. 1996b. “Mismeasurement in the Consumer Price Index:
An Evaluation.” National Bureau of Economic Research
Macroeconomics Annual 12.

Triplett, Jack E. 1996. “Measuring Consumption: The Post-1973
Slowdown and the Research Issues.” Paper presented at the
Conference on Measuring Inflation and Real Growth, Federal
Reserve Bank of St. Louis, October.
U.S. Department of Labor. Bureau of Labor Statistics. 1992. BLS
Handbook of Methods.
———. 1997. “The Experimental CPI Using Geometric Means.”
Research paper. April 10.
Wynne, Mark A., and Fiona D. Sigalla. 1994. “The Consumer
Price Index.” Federal Reserve Bank of Dallas Economic
Review, second quarter.

About the Author
Charles Steindel is a vice president in the Business Conditions Function of the Research and Market
Analysis Group.

The views expressed in this article are those of the author and do not necessarily reflect the position of
the Federal Reserve Bank of New York or the Federal Reserve System.

Recent Current Issues
Date

Vol./No.

Title

Author(s)

1/97

3/1

1997 Job Outlook: The New York–New Jersey Region

Orr, Rosen

1/97

3/2

The Effects of Price Limits on Trading Volume:
A Study of the Cotton Futures Market

Evans, Mahoney

2/97

3/3

Debt, Delinquencies, and Consumer Spending

McCarthy

3/97

3/4

Bad Debt Rising

Morgan, Toll

4/97

3/5

Falling Reserve Balances and the Federal Funds Rate

Bennett, Hilton

Readers interested in obtaining copies of Current Issues in Economics and Finance through the Internet
can visit our site on the World Wide Web (http://www.ny.frb.org). From the Bank’s research publications
page, you can view, download, and print any edition in the Current Issues series, articles from
the Economic Policy Review, and certain issues of Staff Reports. You can also view abstracts for Staff Reports
and Research Papers and order the full-length, hard-copy version of any paper in these series electronically.

Current Issues in Economics and Finance is published by the Research and Market Analysis Group of the Federal
Reserve Bank of New York. Dorothy Meadow Sobol is the editor.
Editorial Staff: Valerie LaPorte, Mike De Mott, Elizabeth Miranda
Production: Graphics and Publications Staff
Subscriptions to Current Issues are free. Write to the Public Information Department, Federal Reserve Bank of
New York, 33 Liberty Street, New York, N.Y. 10045-0001, or call 212-720-6134. Back issues are also available.