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July 28, 1980
other individual items in the index. During
periods of rapidly rising interest rates, as in
the early months of 1980, consumers sharply
reduce their purchases of housing.
Yet the
fixed CPI basket weighs housing purchases
according to the 1972-73 survey.
In response to this problem, the Bureau
of Labor Statistics has developed five experimental
measures,
built around
alternative
assumptions
of the consumer cost of housing
(see table 1). The first three measures, called
"flow of services" measures, attempt to capture the concept
of housing as the shelter
that a home provides. All consumers are included in the weighing scheme, since all consumers require some sort of shelter. "Outlay
measurements,"
however, assume the cost of
housing is determined
by the amount spent,
or outlays, by consumers
during the base
period. Only those consumers who contracted
for a mortgage payment in the base period
are included in the weighing procedure. Some
of the experimental
measures use current interest rates, while others use a 15-year moving
average of interest rates to reflect the age distribution
of mortgage
debt outstandinq.f
Over the 12-month
period ending in April
1980, the rate of change in consumer prices
using the alternative housing methods varied
from 15.7 percent (X2) to 11.7 percent (X 1).
In other words, the assumptions
chosen to
measure the cost of housing materially affect
rates of change of the CPl.

The Implicit peE Deflator
Problems
inherent
in the fixed-basket
construction
of the CPI can be resolved in
some part by the use of the implicit personal
consumption
expenditure
(PCE) deflator.
Constructed
by the Department
of Commerce, the PCE deflator allows changes in
consumption
patterns
to be reflected
in
weighting shifts from one period to another.
The index is derived by adjusting current
consumer
expenditures
by corresponding
price indexes (primarily the CPI) and then
dividing nominal personal consumption
expenditures by the adjusted consumer expenditures. The separate price indexes that span
5.

The purpose of the experimental
home-ownership measures is to provide CPI users with a
range of housing cost possibilities. For a more
thorough description of the measures and their
impact on the CPI, see U.S. Department
of
Labor, Bureau of Labor Statistics, CPllssues,
Report 593, February 1980.

Chart 2 Performance of the CPI
and PCE Deflator
Percent

Table 2 Selected

Personal

cha

4.0

Gasoline and motor
Fuel oil and coal
a. Includes bottled

oil

Consumption

Expenditure

Shares, percent

1972
10

1974
10

1976
10

1978
10

1980
10

3.4
0.8

3.0
0.7

3.1
0.7

3.1
0.7

2.7
0.5

CPI 1979
December
5.6
1.2a

gas.

3.0

of rental homes. The sample of rental homes
must display similar characteristics
to those
of purchased homes, such as size and location,
for accurate reflection of changes in cost.

2.0

1.0

1972

1974

1976

1978

1980

the items in the consumer basket, therefore,
are "implicitly"
weighed according to current
consumption
patternsf Moreover, this measure excludes new home purchases, using a
rental-equivalence
approximation
of housing
costs-in other words, the cost associated with
the rent that a home owner would have been
charged had he rented rather than purchased.
The PCE deflator also has some technical
problems. Perhaps the most practical limitation of the deflator is that initial monthly
estimates are quite tentative
and subject to
considerable revision for at least four months.
It is therefore a less timely measure of inflation. Furthermore,
although the rental equivalence method is probably more accurate in
periods of changing interest rates, it is accurate only to the point that the stock of purchased homes can be equated with a sample
6.

The theoretical construction
price deflator approximates

of the PC E impl icit
the summation

f.piOi

c c

~pl
£.1 72

a!

x 100,

Even the changing composition
of the
consumer basket in the PCE deflator has limitations when assessing changes in the average
cost of living. As substitution
between consumer goods and services occurs, the deflator
will tend to understate
the rate of change in
fixed-basket
consumer prices; consumer sacrifices incorporated
into the implicit PCE deflator
basket
underestimate
conclusions
about cost-of-living
changes. Moreover, because goods and services in the PCE deflator
change in every period, comparing
indexes
for periods other than the base period is misleading to those who assume that index
changes result purely from changes in price.
Index
changes
between
periods
contain
changes in price and changes in composition
of the basket.7
Behavior of the CPI and the PCE deflator
can vary widely over short periods of time,
although over more lengthy periods the differences are much less pronounced
(see chart
2). For the most part, the two price measures
moved reasonably parallel between 1972 and
1976. After 1976, the two indexes behaved
less harmoniously;
since early 1978 the rate
of change in the CPI has been well above that
of the PCE deflator. Most of the current deviation stems from definitional differences in
the treatment
of the home-ownership
costs
and the effect of rising interest rates on the
CPI. Further,
the implicit PCE consumer

C

7.
current

prices of item i,

weight of item i according to current personal consumption
expenditures,

P;2
r.

price of item i in 1972,
summation
of items i, 1- n, where n
is number of items in PCE accounts.

The Department
of Commerce
constructs
a
"chain price index" that weighs the composition of output in the prior period and, therefore, reflects the change in prices between
two periods. This index, however, is limited
to price changes between two consecutive periods. A "fixed basket" PCE deflator is also
constructed,
although,
fundamentally,
it is
subject to similar criticism to the CPI in terms
of composition-related
overstatements
in
prices.

basket becomes less comparable to the CPI's
fixed basket in periods of changing prices.
The weight of energy in the consumer basket,
for example, has changed considerably
since
1972, as consumers increasingly conserve on
expensive petroleum products (see table 2).

Summary
The fixed-basket
CPI is a timely, informative statistic for measuring price changes of
a fixed basket of goods and services. How
accurately this basket typifies a specific consumer depends on differences in consumption
patterns
of groups and individuals
in the
population.
In periods of rapidly changing
prices, the pattern of consumption
changes,
and, at times, the fixed 1972 basket will not
accurately represent the consumption
pattern
even of the average urban family. Technical
problems, such as the effect of sharply changing interest rates, add to the doubt that the
CPI accurately captures cost-of-livinq changes.
Although
the PCE deflator is a useful
supplement
to the CPI, especially during periods of change, it also has limitations.
The
PCE deflator is less timely. The accuracy of
the rental-equivalence
method for measuring
housing
costs
is also questionable,
even
though it is not subject to the direct effects
of sharply changing interest rates. As a costof-living guide, the PCE deflator does not
account for the sacrifices that the average
consumer makes in his consumption
basket
as he substitutes
less expensive alternatives
for goods he would have purchased.
Experience
prior to 1978 suggests that
these two measures of consumer prices will
behave more consistently
as the rate of
change in prices slows and the effect of interest rates on the CPI weakens. It is important, however, to recognize that the process
of measuring cost-of-living changes is difficult.
Limitations
in the data and problems inherent in the construction
of price indexes insure that any price statistic will fall short as
an absolute measure of inflation.

ECONOMIC
COMMENTARY
In this issue:

The Consumer Price Index:
Concepts, Construction, and
Controversy
Federal Reserve Bank of Cleveland
Research Department
P.O. Box 6387
Cleveland, OH 44101

BULK RATE
U.S. Postage Paid
Cleveland,OH
Permit No. 385

The Consumer Price Index:
Concepts, Construction, and Controversy
by Michael F. Bryan

The Consumer
Price Index (CPI) is commonly referred to as "the rate of inflation"
or as "the cost of living in the United States."
The Consumer Price Index is not, however,
nor was it ever intended to be, either a definitive or an ideal measure of cost-of-living
changes in the United States. Indeed, as a
practical
matter, such an ideal measure is
probably
impossible
to construct.
By its
broadest definition,
the CPI is a price guide
for goods and services purchased by families
living in the urban centers of the United
States. More specifically,
it is a price index
for a "fixed basket" of goods and services
generally
purchased
by moderate-income
urban families and single persons during
1972-73. To imply that the CPI is a measure
of price changes for all goods or for all consumers exaggerates the value of the index as
an inflation barometer.
Despite its limitations as a cost-of-living
indicator, the CPI remains the most popular
and widely accepted measure of inflation in
the domestic economy.
Constructed
by the
Bureau of Labor Statistics
(BLS), the CPI
has been a timely and reliable price statistic
for over 60 years. In the past decade, it has
come into extensive use in collective-bargaining agreements
and in the current indexing
of social-security
benefits. Consequently,
the
CPI ranks among the most influential economic statistics published; unfortunately,
it
is often misused. This Economic Commentary examines the construction
of the Consumer Price Index and explores some of the

Michael F. Bryan is a research assistant, Federal
Reserve Bank of Cleveland. The author wishes
to thank John J. Erceg and Mark S. Sniderman
for their valuable assistance.
The opinions stated herein are those of the
author and not necessarily. those of the Federal
Reserve Bank of Cleveland or of the Board of Governors of the Federal ReserveSystem.

inherent problems that have prompted
the
controversy
surrounding
its use in measuring
inflation,
particularly
during
periods
of
rapidly changing prices.

The CPI: What It Is (or What It Isn't)
Between 1972 and 1973, the Bureau of
the Census conducted
a Consumer Expenditure Survey covering 40,000 families living
in 216 urban areas of the United States. The
detailed survey data of consumer-expenditure
patterns were used to construct a "representative" basket of goods and services purchased
by "typical" consumers in each metropolitan
region. The regional baskets were weighed
with respect to the relative size of the various
metropolitan
areas and finally aggregated to
produce a national average market basket.
The 1972-73 consumer-expenditure
patterns
were first introduced
into the CPI in 1978,
updating the previously used 1960-61 spending patterns. The CPI basket, therefore,
represents the consumption
of an average urban
family in 1972 (but not an individual family
or group of families in particularl.!
Once constructed,
the basket and individual items were priced and standardized
to
the value of 100 for the year 1967. Current
index values are obtained by a monthly (in
some areas, bimonthly)
survey of consumergoods prices in 85 standard
metropolitan
statistical areas (SMSAs). These prices then
1.

Actually, the B LS constructs two baskets based
on the 1972-73 CES study. The index for
urban wage and clerical workers (CPI-W) includes
only
employed
wage and clerical
workers. The index for all urban consumers
(CPI-U) encompasses a broader group of consumers, including
salaried workers,
retirees,
and unemployed
persons, as well as wage and
clerical workers. The CPI-U covers approximately 80 percent of the noninstitutional
civilian population,
while the CPI-W covers 40
percent.
All data reported in this Economic
Commentary refer to the CPI-U.

replace previous prices.2 A resulting index of
150, for example, simply means that the
current basket is 50 percent more expensive
than in 1967.

Conceptual Limitations
Inherent to the construction
of any price
index are technical problems such as selecting
an appropriate
base period from which to
construct
the consumer
basket. The ideal
base period would be one in which no price
changes were occurring; hence, the consumer
basket would be assumed to be in equilibrium (or constant).
Because such a period is
virtually nonexistent,
analysts are limited to
approximating
the ideal. Other problems involve determining the frequency of purchase,
especially for durable goods, and adjusting
for changes in quality. Added to these are
the questions of "who" should be surveyed
for current price information,
and how often
the price surveys should be conducted.
Beyond the technical concerns, though,
are difficulties resulting from a "fixed-basket"
composition.
To begin With, the basket for
the average urban family, even in 1972, did
not represent persons who were not part of
the "average" family or who did not live in
an urban community.
Survey data, for example, indicate that elderly consumers spend
a greater percentage of their income on food
and medical care and less on transportation
and entertainment
than average consumers.
Persons living in rural areas probably spend
relatively more on transportation
and less on
food and housing than urban residents. Using
the CPI to assess individual
cost-of-living
2.

The theoretical
construction
approximates
the summation

of

the

CPI

x 100,
r.P~7 0;2
where
prices of item i,

pi

=

current

oi

=

weight (or composition)
of item i in
basket according to 1972 consumer
survey,
price of item i in 1967,

c

72

P~7=

r.

=

summation

of items,

i,l ..•n, where

n is number of items in basket.

For a complete description
of the technical
construction
of the CPI, see William H. Wallace
and William
E. Cullison,
Measuring Price
Changes: A Study of Price Indexes, 4th ed.
(Federal Reserve Bank of Richmond,
1970).

Chart 1 Relative Importance
Product Groupings
December 1979

of Various
in the CPI,

Table 1 Twelve-month
CPI Percent Changes Using Experimental
Home-ownership
Components
Flow of services method

Household furnishings
and operation
8.3%
All transportation
18.6%
Miscellaneous
items
4.1%
Apparel and
upkeep
5.1%
All food
18.7%
Entertainment
3.7%

X1
Official
CPI

Fuel and utilities
6.5%
Home
maintenance
3.6%
Financinq taxes
and in;u rance
10.9%
Rent
5.3%

January 1980
February 1980
March 1980
April 1980
May 1980
June 1980
SOURCE:

Rental
equivalence

13.9
14.1
14.7
14.7
14.4
14.3

11.2
11.6
12.0
11.7
11.4
11.1

method

X2

X3

X4

X5

User cost
current
interest

User cost
average
interest

Outlay
current
interest

Outlay
average
interest

13.9
14.3
15.5
15.7
15.4
15.6

12.7
13.1
14.1
14.2
13.9
13.7

13.1
13.4
13.9
13.8
13.5
13.4

11.7
12.1
12.5
12.3
11.9
11.5

Bureau of Labor Statistics.

period.J Generally, any change in the price
of one good or service will result in substitution among competing
goods and lead to
change in the quantities
of those goods in
the consumer
basket. The CPI, as a fixedweight index, does not incorporate
these
changes on a regular basis.s
Similar adjustments
in energy consumption have clearly occurred. Sharp increases in
the relative price of energy have forced consumers to be more energy conscious, resulting in curbed consumption
of products such
as gasoline. In this respect, the construction
of the CPI increases the impact of energy
costs on the average urban family.
changes for consumers other than the average
urban family can be misleading.
Perhaps most important
of all, CPI construction
presumes that the basket of items
consumed does not change from that which
was consumed
during the "base period" (in
this instance,
1972-73). In actuality, however, patterns of consumption
do change over
time because of changes in tastes, incomes,
and relative prices. During periods of changing prices, consumers attempt to substitute
less expensive
items for more expensive
items; therefore, changes in the CPI tend to
overstate changes in the average cost of living. If the price of beef, for example, increases relative to other foods, consumers
will purchase more pork or tuna fish and less
beef. This is, in fact, a good example of the
behavior of the American consumer over the
past five years. The 1980 per-capita
consumption
of beef in the United States is
expected to be almost 20 percent less than
in 1976, while the per-capita consumption
of
pork has grown 27.5 percent over the same

Outlay

The Durable-goods Dilemma
The treatment
of durable-goods
prices
is especially troublesome
for any price index.
An ideal measure of the current cost of living
must distinguish
between
purchasing
and
consuming.
When consumers
purchase
a
washing machine, for example, they are in
effect purchasing the regular clothes washing
service that the machine provides over its
lifetime. Consumers who choose to launder
at a laundromat
also are purchasing laundry
3.

See U.S. Department of Agriculture, Economic
Statistic and Cooperative
Service, Livestock
and Meat Situation, LMS 236, forthcoming
in
August 1980.

4.

The CPI consumption
basket is revised with
each major Consumer
Expenditure
Survey
approximately
every 10 years. An "ongoing"
CES analysis has been initiated by the Bureau
of the Census. It should also be noted that if
CPI revisions occurred too frequently, changes
in spending patterns due to transient factors
enter the index, thus distorting a normal consumption basket.

service, but they are paying for it in a different manner. Where the laundromat
user pays
for each individual laundering, the machine
purchaser pays for the entirety of services at
the time of purchase. Because the CPI does
not distinguish between purchasing and consuming, an increase in the purchase price of
a durable good is absorbed entirely by the
CPI consumer pocketbook at the time of purchase, rather than distributed over the useful
life of the durable good.
The treatment
of durable goods in the
consumer basket is even more complex once
we introduce the investment aspect of durable goods. While all durable goods provide a
service, many serve an investment
function
in that they are held, in some part, as an asset
that will be sold in the future. In this respect,
an increase in the cost of a durable good increases the value of the durable good "asset"
held by current owners. Nowhere is the distinction between purchasing, consuming, and
investing more difficult than in the housing
component
of the index,where
home owners
frequently
purchase not only for shelter, but
also for investment that later will yield a return. Under current CPI construction,
an upward movement in home prices only increases
the measured cost of housing.
Most of the controversy
currently
surrounding the CPI concerns the manner in
which interest rates are incorporated
in the
home-ownership
component
of the index.
This component
includes the purchase price,
financing,
insurance, and maintenance
of a
home and accounts for almost 25 percent of
the CPI basket (see chart 1). Thus, cost
changes in these items have pronounced
effects on the overall CPI in comparison
with

The Consumer Price Index:
Concepts, Construction, and Controversy
by Michael F. Bryan

The Consumer
Price Index (CPI) is commonly referred to as "the rate of inflation"
or as "the cost of living in the United States."
The Consumer Price Index is not, however,
nor was it ever intended to be, either a definitive or an ideal measure of cost-of-living
changes in the United States. Indeed, as a
practical
matter, such an ideal measure is
probably
impossible
to construct.
By its
broadest definition,
the CPI is a price guide
for goods and services purchased by families
living in the urban centers of the United
States. More specifically,
it is a price index
for a "fixed basket" of goods and services
generally
purchased
by moderate-income
urban families and single persons during
1972-73. To imply that the CPI is a measure
of price changes for all goods or for all consumers exaggerates the value of the index as
an inflation barometer.
Despite its limitations as a cost-of-living
indicator, the CPI remains the most popular
and widely accepted measure of inflation in
the domestic economy.
Constructed
by the
Bureau of Labor Statistics
(BLS), the CPI
has been a timely and reliable price statistic
for over 60 years. In the past decade, it has
come into extensive use in collective-bargaining agreements
and in the current indexing
of social-security
benefits. Consequently,
the
CPI ranks among the most influential economic statistics published; unfortunately,
it
is often misused. This Economic Commentary examines the construction
of the Consumer Price Index and explores some of the

Michael F. Bryan is a research assistant, Federal
Reserve Bank of Cleveland. The author wishes
to thank John J. Erceg and Mark S. Sniderman
for their valuable assistance.
The opinions stated herein are those of the
author and not necessarily. those of the Federal
Reserve Bank of Cleveland or of the Board of Governors of the Federal ReserveSystem.

inherent problems that have prompted
the
controversy
surrounding
its use in measuring
inflation,
particularly
during
periods
of
rapidly changing prices.

The CPI: What It Is (or What It Isn't)
Between 1972 and 1973, the Bureau of
the Census conducted
a Consumer Expenditure Survey covering 40,000 families living
in 216 urban areas of the United States. The
detailed survey data of consumer-expenditure
patterns were used to construct a "representative" basket of goods and services purchased
by "typical" consumers in each metropolitan
region. The regional baskets were weighed
with respect to the relative size of the various
metropolitan
areas and finally aggregated to
produce a national average market basket.
The 1972-73 consumer-expenditure
patterns
were first introduced
into the CPI in 1978,
updating the previously used 1960-61 spending patterns. The CPI basket, therefore,
represents the consumption
of an average urban
family in 1972 (but not an individual family
or group of families in particularl.!
Once constructed,
the basket and individual items were priced and standardized
to
the value of 100 for the year 1967. Current
index values are obtained by a monthly (in
some areas, bimonthly)
survey of consumergoods prices in 85 standard
metropolitan
statistical areas (SMSAs). These prices then
1.

Actually, the B LS constructs two baskets based
on the 1972-73 CES study. The index for
urban wage and clerical workers (CPI-W) includes
only
employed
wage and clerical
workers. The index for all urban consumers
(CPI-U) encompasses a broader group of consumers, including
salaried workers,
retirees,
and unemployed
persons, as well as wage and
clerical workers. The CPI-U covers approximately 80 percent of the noninstitutional
civilian population,
while the CPI-W covers 40
percent.
All data reported in this Economic
Commentary refer to the CPI-U.

replace previous prices.2 A resulting index of
150, for example, simply means that the
current basket is 50 percent more expensive
than in 1967.

Conceptual Limitations
Inherent to the construction
of any price
index are technical problems such as selecting
an appropriate
base period from which to
construct
the consumer
basket. The ideal
base period would be one in which no price
changes were occurring; hence, the consumer
basket would be assumed to be in equilibrium (or constant).
Because such a period is
virtually nonexistent,
analysts are limited to
approximating
the ideal. Other problems involve determining the frequency of purchase,
especially for durable goods, and adjusting
for changes in quality. Added to these are
the questions of "who" should be surveyed
for current price information,
and how often
the price surveys should be conducted.
Beyond the technical concerns, though,
are difficulties resulting from a "fixed-basket"
composition.
To begin With, the basket for
the average urban family, even in 1972, did
not represent persons who were not part of
the "average" family or who did not live in
an urban community.
Survey data, for example, indicate that elderly consumers spend
a greater percentage of their income on food
and medical care and less on transportation
and entertainment
than average consumers.
Persons living in rural areas probably spend
relatively more on transportation
and less on
food and housing than urban residents. Using
the CPI to assess individual
cost-of-living
2.

The theoretical
construction
approximates
the summation

of

the

CPI

x 100,
r.P~7 0;2
where
prices of item i,

pi

=

current

oi

=

weight (or composition)
of item i in
basket according to 1972 consumer
survey,
price of item i in 1967,

c

72

P~7=

r.

=

summation

of items,

i,l ..•n, where

n is number of items in basket.

For a complete description
of the technical
construction
of the CPI, see William H. Wallace
and William
E. Cullison,
Measuring Price
Changes: A Study of Price Indexes, 4th ed.
(Federal Reserve Bank of Richmond,
1970).

Chart 1 Relative Importance
Product Groupings
December 1979

of Various
in the CPI,

Table 1 Twelve-month
CPI Percent Changes Using Experimental
Home-ownership
Components
Flow of services method

Household furnishings
and operation
8.3%
All transportation
18.6%
Miscellaneous
items
4.1%
Apparel and
upkeep
5.1%
All food
18.7%
Entertainment
3.7%

X1
Official
CPI

Fuel and utilities
6.5%
Home
maintenance
3.6%
Financinq taxes
and in;u rance
10.9%
Rent
5.3%

January 1980
February 1980
March 1980
April 1980
May 1980
June 1980
SOURCE:

Rental
equivalence

13.9
14.1
14.7
14.7
14.4
14.3

11.2
11.6
12.0
11.7
11.4
11.1

method

X2

X3

X4

X5

User cost
current
interest

User cost
average
interest

Outlay
current
interest

Outlay
average
interest

13.9
14.3
15.5
15.7
15.4
15.6

12.7
13.1
14.1
14.2
13.9
13.7

13.1
13.4
13.9
13.8
13.5
13.4

11.7
12.1
12.5
12.3
11.9
11.5

Bureau of Labor Statistics.

period.J Generally, any change in the price
of one good or service will result in substitution among competing
goods and lead to
change in the quantities
of those goods in
the consumer
basket. The CPI, as a fixedweight index, does not incorporate
these
changes on a regular basis.s
Similar adjustments
in energy consumption have clearly occurred. Sharp increases in
the relative price of energy have forced consumers to be more energy conscious, resulting in curbed consumption
of products such
as gasoline. In this respect, the construction
of the CPI increases the impact of energy
costs on the average urban family.
changes for consumers other than the average
urban family can be misleading.
Perhaps most important
of all, CPI construction
presumes that the basket of items
consumed does not change from that which
was consumed
during the "base period" (in
this instance,
1972-73). In actuality, however, patterns of consumption
do change over
time because of changes in tastes, incomes,
and relative prices. During periods of changing prices, consumers attempt to substitute
less expensive
items for more expensive
items; therefore, changes in the CPI tend to
overstate changes in the average cost of living. If the price of beef, for example, increases relative to other foods, consumers
will purchase more pork or tuna fish and less
beef. This is, in fact, a good example of the
behavior of the American consumer over the
past five years. The 1980 per-capita
consumption
of beef in the United States is
expected to be almost 20 percent less than
in 1976, while the per-capita consumption
of
pork has grown 27.5 percent over the same

Outlay

The Durable-goods Dilemma
The treatment
of durable-goods
prices
is especially troublesome
for any price index.
An ideal measure of the current cost of living
must distinguish
between
purchasing
and
consuming.
When consumers
purchase
a
washing machine, for example, they are in
effect purchasing the regular clothes washing
service that the machine provides over its
lifetime. Consumers who choose to launder
at a laundromat
also are purchasing laundry
3.

See U.S. Department of Agriculture, Economic
Statistic and Cooperative
Service, Livestock
and Meat Situation, LMS 236, forthcoming
in
August 1980.

4.

The CPI consumption
basket is revised with
each major Consumer
Expenditure
Survey
approximately
every 10 years. An "ongoing"
CES analysis has been initiated by the Bureau
of the Census. It should also be noted that if
CPI revisions occurred too frequently, changes
in spending patterns due to transient factors
enter the index, thus distorting a normal consumption basket.

service, but they are paying for it in a different manner. Where the laundromat
user pays
for each individual laundering, the machine
purchaser pays for the entirety of services at
the time of purchase. Because the CPI does
not distinguish between purchasing and consuming, an increase in the purchase price of
a durable good is absorbed entirely by the
CPI consumer pocketbook at the time of purchase, rather than distributed over the useful
life of the durable good.
The treatment
of durable goods in the
consumer basket is even more complex once
we introduce the investment aspect of durable goods. While all durable goods provide a
service, many serve an investment
function
in that they are held, in some part, as an asset
that will be sold in the future. In this respect,
an increase in the cost of a durable good increases the value of the durable good "asset"
held by current owners. Nowhere is the distinction between purchasing, consuming, and
investing more difficult than in the housing
component
of the index,where
home owners
frequently
purchase not only for shelter, but
also for investment that later will yield a return. Under current CPI construction,
an upward movement in home prices only increases
the measured cost of housing.
Most of the controversy
currently
surrounding the CPI concerns the manner in
which interest rates are incorporated
in the
home-ownership
component
of the index.
This component
includes the purchase price,
financing,
insurance, and maintenance
of a
home and accounts for almost 25 percent of
the CPI basket (see chart 1). Thus, cost
changes in these items have pronounced
effects on the overall CPI in comparison
with

The Consumer Price Index:
Concepts, Construction, and Controversy
by Michael F. Bryan

The Consumer
Price Index (CPI) is commonly referred to as "the rate of inflation"
or as "the cost of living in the United States."
The Consumer Price Index is not, however,
nor was it ever intended to be, either a definitive or an ideal measure of cost-of-living
changes in the United States. Indeed, as a
practical
matter, such an ideal measure is
probably
impossible
to construct.
By its
broadest definition,
the CPI is a price guide
for goods and services purchased by families
living in the urban centers of the United
States. More specifically,
it is a price index
for a "fixed basket" of goods and services
generally
purchased
by moderate-income
urban families and single persons during
1972-73. To imply that the CPI is a measure
of price changes for all goods or for all consumers exaggerates the value of the index as
an inflation barometer.
Despite its limitations as a cost-of-living
indicator, the CPI remains the most popular
and widely accepted measure of inflation in
the domestic economy.
Constructed
by the
Bureau of Labor Statistics
(BLS), the CPI
has been a timely and reliable price statistic
for over 60 years. In the past decade, it has
come into extensive use in collective-bargaining agreements
and in the current indexing
of social-security
benefits. Consequently,
the
CPI ranks among the most influential economic statistics published; unfortunately,
it
is often misused. This Economic Commentary examines the construction
of the Consumer Price Index and explores some of the

Michael F. Bryan is a research assistant, Federal
Reserve Bank of Cleveland. The author wishes
to thank John J. Erceg and Mark S. Sniderman
for their valuable assistance.
The opinions stated herein are those of the
author and not necessarily. those of the Federal
Reserve Bank of Cleveland or of the Board of Governors of the Federal ReserveSystem.

inherent problems that have prompted
the
controversy
surrounding
its use in measuring
inflation,
particularly
during
periods
of
rapidly changing prices.

The CPI: What It Is (or What It Isn't)
Between 1972 and 1973, the Bureau of
the Census conducted
a Consumer Expenditure Survey covering 40,000 families living
in 216 urban areas of the United States. The
detailed survey data of consumer-expenditure
patterns were used to construct a "representative" basket of goods and services purchased
by "typical" consumers in each metropolitan
region. The regional baskets were weighed
with respect to the relative size of the various
metropolitan
areas and finally aggregated to
produce a national average market basket.
The 1972-73 consumer-expenditure
patterns
were first introduced
into the CPI in 1978,
updating the previously used 1960-61 spending patterns. The CPI basket, therefore,
represents the consumption
of an average urban
family in 1972 (but not an individual family
or group of families in particularl.!
Once constructed,
the basket and individual items were priced and standardized
to
the value of 100 for the year 1967. Current
index values are obtained by a monthly (in
some areas, bimonthly)
survey of consumergoods prices in 85 standard
metropolitan
statistical areas (SMSAs). These prices then
1.

Actually, the B LS constructs two baskets based
on the 1972-73 CES study. The index for
urban wage and clerical workers (CPI-W) includes
only
employed
wage and clerical
workers. The index for all urban consumers
(CPI-U) encompasses a broader group of consumers, including
salaried workers,
retirees,
and unemployed
persons, as well as wage and
clerical workers. The CPI-U covers approximately 80 percent of the noninstitutional
civilian population,
while the CPI-W covers 40
percent.
All data reported in this Economic
Commentary refer to the CPI-U.

replace previous prices.2 A resulting index of
150, for example, simply means that the
current basket is 50 percent more expensive
than in 1967.

Conceptual Limitations
Inherent to the construction
of any price
index are technical problems such as selecting
an appropriate
base period from which to
construct
the consumer
basket. The ideal
base period would be one in which no price
changes were occurring; hence, the consumer
basket would be assumed to be in equilibrium (or constant).
Because such a period is
virtually nonexistent,
analysts are limited to
approximating
the ideal. Other problems involve determining the frequency of purchase,
especially for durable goods, and adjusting
for changes in quality. Added to these are
the questions of "who" should be surveyed
for current price information,
and how often
the price surveys should be conducted.
Beyond the technical concerns, though,
are difficulties resulting from a "fixed-basket"
composition.
To begin With, the basket for
the average urban family, even in 1972, did
not represent persons who were not part of
the "average" family or who did not live in
an urban community.
Survey data, for example, indicate that elderly consumers spend
a greater percentage of their income on food
and medical care and less on transportation
and entertainment
than average consumers.
Persons living in rural areas probably spend
relatively more on transportation
and less on
food and housing than urban residents. Using
the CPI to assess individual
cost-of-living
2.

The theoretical
construction
approximates
the summation

of

the

CPI

x 100,
r.P~7 0;2
where
prices of item i,

pi

=

current

oi

=

weight (or composition)
of item i in
basket according to 1972 consumer
survey,
price of item i in 1967,

c

72

P~7=

r.

=

summation

of items,

i,l ..•n, where

n is number of items in basket.

For a complete description
of the technical
construction
of the CPI, see William H. Wallace
and William
E. Cullison,
Measuring Price
Changes: A Study of Price Indexes, 4th ed.
(Federal Reserve Bank of Richmond,
1970).

Chart 1 Relative Importance
Product Groupings
December 1979

of Various
in the CPI,

Table 1 Twelve-month
CPI Percent Changes Using Experimental
Home-ownership
Components
Flow of services method

Household furnishings
and operation
8.3%
All transportation
18.6%
Miscellaneous
items
4.1%
Apparel and
upkeep
5.1%
All food
18.7%
Entertainment
3.7%

X1
Official
CPI

Fuel and utilities
6.5%
Home
maintenance
3.6%
Financinq taxes
and in;u rance
10.9%
Rent
5.3%

January 1980
February 1980
March 1980
April 1980
May 1980
June 1980
SOURCE:

Rental
equivalence

13.9
14.1
14.7
14.7
14.4
14.3

11.2
11.6
12.0
11.7
11.4
11.1

method

X2

X3

X4

X5

User cost
current
interest

User cost
average
interest

Outlay
current
interest

Outlay
average
interest

13.9
14.3
15.5
15.7
15.4
15.6

12.7
13.1
14.1
14.2
13.9
13.7

13.1
13.4
13.9
13.8
13.5
13.4

11.7
12.1
12.5
12.3
11.9
11.5

Bureau of Labor Statistics.

period.J Generally, any change in the price
of one good or service will result in substitution among competing
goods and lead to
change in the quantities
of those goods in
the consumer
basket. The CPI, as a fixedweight index, does not incorporate
these
changes on a regular basis.s
Similar adjustments
in energy consumption have clearly occurred. Sharp increases in
the relative price of energy have forced consumers to be more energy conscious, resulting in curbed consumption
of products such
as gasoline. In this respect, the construction
of the CPI increases the impact of energy
costs on the average urban family.
changes for consumers other than the average
urban family can be misleading.
Perhaps most important
of all, CPI construction
presumes that the basket of items
consumed does not change from that which
was consumed
during the "base period" (in
this instance,
1972-73). In actuality, however, patterns of consumption
do change over
time because of changes in tastes, incomes,
and relative prices. During periods of changing prices, consumers attempt to substitute
less expensive
items for more expensive
items; therefore, changes in the CPI tend to
overstate changes in the average cost of living. If the price of beef, for example, increases relative to other foods, consumers
will purchase more pork or tuna fish and less
beef. This is, in fact, a good example of the
behavior of the American consumer over the
past five years. The 1980 per-capita
consumption
of beef in the United States is
expected to be almost 20 percent less than
in 1976, while the per-capita consumption
of
pork has grown 27.5 percent over the same

Outlay

The Durable-goods Dilemma
The treatment
of durable-goods
prices
is especially troublesome
for any price index.
An ideal measure of the current cost of living
must distinguish
between
purchasing
and
consuming.
When consumers
purchase
a
washing machine, for example, they are in
effect purchasing the regular clothes washing
service that the machine provides over its
lifetime. Consumers who choose to launder
at a laundromat
also are purchasing laundry
3.

See U.S. Department of Agriculture, Economic
Statistic and Cooperative
Service, Livestock
and Meat Situation, LMS 236, forthcoming
in
August 1980.

4.

The CPI consumption
basket is revised with
each major Consumer
Expenditure
Survey
approximately
every 10 years. An "ongoing"
CES analysis has been initiated by the Bureau
of the Census. It should also be noted that if
CPI revisions occurred too frequently, changes
in spending patterns due to transient factors
enter the index, thus distorting a normal consumption basket.

service, but they are paying for it in a different manner. Where the laundromat
user pays
for each individual laundering, the machine
purchaser pays for the entirety of services at
the time of purchase. Because the CPI does
not distinguish between purchasing and consuming, an increase in the purchase price of
a durable good is absorbed entirely by the
CPI consumer pocketbook at the time of purchase, rather than distributed over the useful
life of the durable good.
The treatment
of durable goods in the
consumer basket is even more complex once
we introduce the investment aspect of durable goods. While all durable goods provide a
service, many serve an investment
function
in that they are held, in some part, as an asset
that will be sold in the future. In this respect,
an increase in the cost of a durable good increases the value of the durable good "asset"
held by current owners. Nowhere is the distinction between purchasing, consuming, and
investing more difficult than in the housing
component
of the index,where
home owners
frequently
purchase not only for shelter, but
also for investment that later will yield a return. Under current CPI construction,
an upward movement in home prices only increases
the measured cost of housing.
Most of the controversy
currently
surrounding the CPI concerns the manner in
which interest rates are incorporated
in the
home-ownership
component
of the index.
This component
includes the purchase price,
financing,
insurance, and maintenance
of a
home and accounts for almost 25 percent of
the CPI basket (see chart 1). Thus, cost
changes in these items have pronounced
effects on the overall CPI in comparison
with

July 28, 1980
other individual items in the index. During
periods of rapidly rising interest rates, as in
the early months of 1980, consumers sharply
reduce their purchases of housing.
Yet the
fixed CPI basket weighs housing purchases
according to the 1972-73 survey.
In response to this problem, the Bureau
of Labor Statistics has developed five experimental
measures,
built around
alternative
assumptions
of the consumer cost of housing
(see table 1). The first three measures, called
"flow of services" measures, attempt to capture the concept
of housing as the shelter
that a home provides. All consumers are included in the weighing scheme, since all consumers require some sort of shelter. "Outlay
measurements,"
however, assume the cost of
housing is determined
by the amount spent,
or outlays, by consumers
during the base
period. Only those consumers who contracted
for a mortgage payment in the base period
are included in the weighing procedure. Some
of the experimental
measures use current interest rates, while others use a 15-year moving
average of interest rates to reflect the age distribution
of mortgage
debt outstandinq.f
Over the 12-month
period ending in April
1980, the rate of change in consumer prices
using the alternative housing methods varied
from 15.7 percent (X2) to 11.7 percent (X 1).
In other words, the assumptions
chosen to
measure the cost of housing materially affect
rates of change of the CPl.

The Implicit peE Deflator
Problems
inherent
in the fixed-basket
construction
of the CPI can be resolved in
some part by the use of the implicit personal
consumption
expenditure
(PCE) deflator.
Constructed
by the Department
of Commerce, the PCE deflator allows changes in
consumption
patterns
to be reflected
in
weighting shifts from one period to another.
The index is derived by adjusting current
consumer
expenditures
by corresponding
price indexes (primarily the CPI) and then
dividing nominal personal consumption
expenditures by the adjusted consumer expenditures. The separate price indexes that span
5.

The purpose of the experimental
home-ownership measures is to provide CPI users with a
range of housing cost possibilities. For a more
thorough description of the measures and their
impact on the CPI, see U.S. Department
of
Labor, Bureau of Labor Statistics, CPllssues,
Report 593, February 1980.

Chart 2 Performance of the CPI
and PCE Deflator
Percent

Table 2 Selected

Personal

cha

4.0

Gasoline and motor
Fuel oil and coal
a. Includes bottled

oil

Consumption

Expenditure

Shares, percent

1972
10

1974
10

1976
10

1978
10

1980
10

3.4
0.8

3.0
0.7

3.1
0.7

3.1
0.7

2.7
0.5

CPI 1979
December
5.6
1.2a

gas.

3.0

of rental homes. The sample of rental homes
must display similar characteristics
to those
of purchased homes, such as size and location,
for accurate reflection of changes in cost.

2.0

1.0

1972

1974

1976

1978

1980

the items in the consumer basket, therefore,
are "implicitly"
weighed according to current
consumption
patternsf Moreover, this measure excludes new home purchases, using a
rental-equivalence
approximation
of housing
costs-in other words, the cost associated with
the rent that a home owner would have been
charged had he rented rather than purchased.
The PCE deflator also has some technical
problems. Perhaps the most practical limitation of the deflator is that initial monthly
estimates are quite tentative
and subject to
considerable revision for at least four months.
It is therefore a less timely measure of inflation. Furthermore,
although the rental equivalence method is probably more accurate in
periods of changing interest rates, it is accurate only to the point that the stock of purchased homes can be equated with a sample
6.

The theoretical construction
price deflator approximates

of the PC E impl icit
the summation

f.piOi

c c

~pl
£.1 72

a!

x 100,

Even the changing composition
of the
consumer basket in the PCE deflator has limitations when assessing changes in the average
cost of living. As substitution
between consumer goods and services occurs, the deflator
will tend to understate
the rate of change in
fixed-basket
consumer prices; consumer sacrifices incorporated
into the implicit PCE deflator
basket
underestimate
conclusions
about cost-of-living
changes. Moreover, because goods and services in the PCE deflator
change in every period, comparing
indexes
for periods other than the base period is misleading to those who assume that index
changes result purely from changes in price.
Index
changes
between
periods
contain
changes in price and changes in composition
of the basket.7
Behavior of the CPI and the PCE deflator
can vary widely over short periods of time,
although over more lengthy periods the differences are much less pronounced
(see chart
2). For the most part, the two price measures
moved reasonably parallel between 1972 and
1976. After 1976, the two indexes behaved
less harmoniously;
since early 1978 the rate
of change in the CPI has been well above that
of the PCE deflator. Most of the current deviation stems from definitional differences in
the treatment
of the home-ownership
costs
and the effect of rising interest rates on the
CPI. Further,
the implicit PCE consumer

C

7.
current

prices of item i,

weight of item i according to current personal consumption
expenditures,

P;2
r.

price of item i in 1972,
summation
of items i, 1- n, where n
is number of items in PCE accounts.

The Department
of Commerce
constructs
a
"chain price index" that weighs the composition of output in the prior period and, therefore, reflects the change in prices between
two periods. This index, however, is limited
to price changes between two consecutive periods. A "fixed basket" PCE deflator is also
constructed,
although,
fundamentally,
it is
subject to similar criticism to the CPI in terms
of composition-related
overstatements
in
prices.

basket becomes less comparable to the CPI's
fixed basket in periods of changing prices.
The weight of energy in the consumer basket,
for example, has changed considerably
since
1972, as consumers increasingly conserve on
expensive petroleum products (see table 2).

Summary
The fixed-basket
CPI is a timely, informative statistic for measuring price changes of
a fixed basket of goods and services. How
accurately this basket typifies a specific consumer depends on differences in consumption
patterns
of groups and individuals
in the
population.
In periods of rapidly changing
prices, the pattern of consumption
changes,
and, at times, the fixed 1972 basket will not
accurately represent the consumption
pattern
even of the average urban family. Technical
problems, such as the effect of sharply changing interest rates, add to the doubt that the
CPI accurately captures cost-of-livinq changes.
Although
the PCE deflator is a useful
supplement
to the CPI, especially during periods of change, it also has limitations.
The
PCE deflator is less timely. The accuracy of
the rental-equivalence
method for measuring
housing
costs
is also questionable,
even
though it is not subject to the direct effects
of sharply changing interest rates. As a costof-living guide, the PCE deflator does not
account for the sacrifices that the average
consumer makes in his consumption
basket
as he substitutes
less expensive alternatives
for goods he would have purchased.
Experience
prior to 1978 suggests that
these two measures of consumer prices will
behave more consistently
as the rate of
change in prices slows and the effect of interest rates on the CPI weakens. It is important, however, to recognize that the process
of measuring cost-of-living changes is difficult.
Limitations
in the data and problems inherent in the construction
of price indexes insure that any price statistic will fall short as
an absolute measure of inflation.

ECONOMIC
COMMENTARY
In this issue:

The Consumer Price Index:
Concepts, Construction, and
Controversy
Federal Reserve Bank of Cleveland
Research Department
P.O. Box 6387
Cleveland, OH 44101

BULK RATE
U.S. Postage Paid
Cleveland,OH
Permit No. 385

July 28, 1980
other individual items in the index. During
periods of rapidly rising interest rates, as in
the early months of 1980, consumers sharply
reduce their purchases of housing.
Yet the
fixed CPI basket weighs housing purchases
according to the 1972-73 survey.
In response to this problem, the Bureau
of Labor Statistics has developed five experimental
measures,
built around
alternative
assumptions
of the consumer cost of housing
(see table 1). The first three measures, called
"flow of services" measures, attempt to capture the concept
of housing as the shelter
that a home provides. All consumers are included in the weighing scheme, since all consumers require some sort of shelter. "Outlay
measurements,"
however, assume the cost of
housing is determined
by the amount spent,
or outlays, by consumers
during the base
period. Only those consumers who contracted
for a mortgage payment in the base period
are included in the weighing procedure. Some
of the experimental
measures use current interest rates, while others use a 15-year moving
average of interest rates to reflect the age distribution
of mortgage
debt outstandinq.f
Over the 12-month
period ending in April
1980, the rate of change in consumer prices
using the alternative housing methods varied
from 15.7 percent (X2) to 11.7 percent (X 1).
In other words, the assumptions
chosen to
measure the cost of housing materially affect
rates of change of the CPl.

The Implicit peE Deflator
Problems
inherent
in the fixed-basket
construction
of the CPI can be resolved in
some part by the use of the implicit personal
consumption
expenditure
(PCE) deflator.
Constructed
by the Department
of Commerce, the PCE deflator allows changes in
consumption
patterns
to be reflected
in
weighting shifts from one period to another.
The index is derived by adjusting current
consumer
expenditures
by corresponding
price indexes (primarily the CPI) and then
dividing nominal personal consumption
expenditures by the adjusted consumer expenditures. The separate price indexes that span
5.

The purpose of the experimental
home-ownership measures is to provide CPI users with a
range of housing cost possibilities. For a more
thorough description of the measures and their
impact on the CPI, see U.S. Department
of
Labor, Bureau of Labor Statistics, CPllssues,
Report 593, February 1980.

Chart 2 Performance of the CPI
and PCE Deflator
Percent

Table 2 Selected

Personal

cha

4.0

Gasoline and motor
Fuel oil and coal
a. Includes bottled

oil

Consumption

Expenditure

Shares, percent

1972
10

1974
10

1976
10

1978
10

1980
10

3.4
0.8

3.0
0.7

3.1
0.7

3.1
0.7

2.7
0.5

CPI 1979
December
5.6
1.2a

gas.

3.0

of rental homes. The sample of rental homes
must display similar characteristics
to those
of purchased homes, such as size and location,
for accurate reflection of changes in cost.

2.0

1.0

1972

1974

1976

1978

1980

the items in the consumer basket, therefore,
are "implicitly"
weighed according to current
consumption
patternsf Moreover, this measure excludes new home purchases, using a
rental-equivalence
approximation
of housing
costs-in other words, the cost associated with
the rent that a home owner would have been
charged had he rented rather than purchased.
The PCE deflator also has some technical
problems. Perhaps the most practical limitation of the deflator is that initial monthly
estimates are quite tentative
and subject to
considerable revision for at least four months.
It is therefore a less timely measure of inflation. Furthermore,
although the rental equivalence method is probably more accurate in
periods of changing interest rates, it is accurate only to the point that the stock of purchased homes can be equated with a sample
6.

The theoretical construction
price deflator approximates

of the PC E impl icit
the summation

f.piOi

c c

~pl
£.1 72

a!

x 100,

Even the changing composition
of the
consumer basket in the PCE deflator has limitations when assessing changes in the average
cost of living. As substitution
between consumer goods and services occurs, the deflator
will tend to understate
the rate of change in
fixed-basket
consumer prices; consumer sacrifices incorporated
into the implicit PCE deflator
basket
underestimate
conclusions
about cost-of-living
changes. Moreover, because goods and services in the PCE deflator
change in every period, comparing
indexes
for periods other than the base period is misleading to those who assume that index
changes result purely from changes in price.
Index
changes
between
periods
contain
changes in price and changes in composition
of the basket.7
Behavior of the CPI and the PCE deflator
can vary widely over short periods of time,
although over more lengthy periods the differences are much less pronounced
(see chart
2). For the most part, the two price measures
moved reasonably parallel between 1972 and
1976. After 1976, the two indexes behaved
less harmoniously;
since early 1978 the rate
of change in the CPI has been well above that
of the PCE deflator. Most of the current deviation stems from definitional differences in
the treatment
of the home-ownership
costs
and the effect of rising interest rates on the
CPI. Further,
the implicit PCE consumer

C

7.
current

prices of item i,

weight of item i according to current personal consumption
expenditures,

P;2
r.

price of item i in 1972,
summation
of items i, 1- n, where n
is number of items in PCE accounts.

The Department
of Commerce
constructs
a
"chain price index" that weighs the composition of output in the prior period and, therefore, reflects the change in prices between
two periods. This index, however, is limited
to price changes between two consecutive periods. A "fixed basket" PCE deflator is also
constructed,
although,
fundamentally,
it is
subject to similar criticism to the CPI in terms
of composition-related
overstatements
in
prices.

basket becomes less comparable to the CPI's
fixed basket in periods of changing prices.
The weight of energy in the consumer basket,
for example, has changed considerably
since
1972, as consumers increasingly conserve on
expensive petroleum products (see table 2).

Summary
The fixed-basket
CPI is a timely, informative statistic for measuring price changes of
a fixed basket of goods and services. How
accurately this basket typifies a specific consumer depends on differences in consumption
patterns
of groups and individuals
in the
population.
In periods of rapidly changing
prices, the pattern of consumption
changes,
and, at times, the fixed 1972 basket will not
accurately represent the consumption
pattern
even of the average urban family. Technical
problems, such as the effect of sharply changing interest rates, add to the doubt that the
CPI accurately captures cost-of-livinq changes.
Although
the PCE deflator is a useful
supplement
to the CPI, especially during periods of change, it also has limitations.
The
PCE deflator is less timely. The accuracy of
the rental-equivalence
method for measuring
housing
costs
is also questionable,
even
though it is not subject to the direct effects
of sharply changing interest rates. As a costof-living guide, the PCE deflator does not
account for the sacrifices that the average
consumer makes in his consumption
basket
as he substitutes
less expensive alternatives
for goods he would have purchased.
Experience
prior to 1978 suggests that
these two measures of consumer prices will
behave more consistently
as the rate of
change in prices slows and the effect of interest rates on the CPI weakens. It is important, however, to recognize that the process
of measuring cost-of-living changes is difficult.
Limitations
in the data and problems inherent in the construction
of price indexes insure that any price statistic will fall short as
an absolute measure of inflation.

ECONOMIC
COMMENTARY
In this issue:

The Consumer Price Index:
Concepts, Construction, and
Controversy
Federal Reserve Bank of Cleveland
Research Department
P.O. Box 6387
Cleveland, OH 44101

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