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December 12, 1 980

IndexProblems
The problem of fighting inflation can be
aggravated by the difficulty of knowing just
how bad the problem is. Statisticians try to
deal with this difficulty by devising a number
of different yardsticks to measure changes in
price levels. Yet most discussion still centers
around the consumer-price index (CPI) and
its variants, simply because public and private policymakers use that index far more
than any other yardstick in their policy decisions. (Through indexing provisions, wages
and other payments of nearly 80 million
people are dependent on CPI fluctuations.)
Statisticians continually try to improve various inflation measures, but recognize that no
index measure can be perfect. The methods
used in constructing indexes depend greatly
on the uses for which they are intended.
Any "cost of living" index, such as the
consumer-price index, is based upon a comparison of household "utility" (or perceived
well-being) in two different periods. Index
makers assume that utility is constant in each
time period, and that a change in the cost of
living is the ratio of income or expenditures
that will leave an individual or household on
the same "utility map"-or equally well
off-as before. In the words of Lawrence
Klein and Harry Rubin, "The true cost of
living is defined as the ratio of two incomes.
The denominator of this ratio is the actual
base-period income. The numerator is the
smallest income required in order to buy, at
current prices, that complex of goods which
wou Id leave one on the same level of uti Iity as
was experienced in the base period."

Weighting crucial
The key decision facing statisticians is how
best to weight the various prices in the two
time periods being compared. One approach
(Laspeyres) is to weight prices of individual
goods and services at the quantities existing
in some base period. (This index was developed by the 19th-century French-German
economist, Etienne Laspeyres.)An alternative

approach (Paasche) is to weight prices at
current-period quantities. (This index was
developed by Laspeyres' German contemporary, Hermann Paasche.) The CPI is a
Laspeyres index, while the personalconsumption expenditures (PCE)"deflator"
is a variant of a Paasche index -and that
distinction makes for some important differences in results, as we shall see below.
The Bureau of Labor Statistics (BLS)determined the base-year weights in the present
consumer-price index by a survey of consumer expenditures involving about 20,000
family units in the 1 972-73 period, either
through quarterly interviews or through diaries of actual expenditures maintained over a
two-week period. On that basis, BLSdeveloped a statistical market basket involving
almost 400 separate categories of goods and
services.

CPI and alternatives

.

The B.LScollects prices for individual goods
and services from a number of sources each
month. The sample includes about 24,000
retail establishments, such as supermarkets,
cleaning establishments, repair shops, and
doctors and lawyers' offices.
The Commerce Department's Bureau of Economic Analysis (BEA) follows a different
procedure in developing its price indexes"implicit price deflators" -for GN P and its
components. (The deflator for personal
consumption expenditures is the most important of these yardsticks, being the closest
alternative to the CPI.) In developing its price
deflators, BEA draws upon a variety of other
price series to deflate segments of currentdollar GN P to a constant-dollar basis.
It should be emphasized that the two series
differ in construction partlybecause they are
designed for different purposes. The CPI is
'designed expressly to measure the escalation
of prices. The PCEdeflator is essentially a

byproduct of the process involved in reducing current-dollar G N P to a constantdollar volume.

mainly because it already reflects some of the
change in consumption patterns with which
consumers respond to price increases.

BEA does not deflate by individual commodities, because this would create massive
operational problems for anything as complex as GNP. Instead, it deflates expenditures
for a variety of commodities with fixedweight price indexes, with the indexes combining price relatives for individual types of
commodities included in the expenditures
component. (A price relative is the ratio of
current price to base-period price.) Thus, the
implicit deflator involves current-period
weighting among sub-indexes-the Paasche
approach-and fixed weighting within the
components.

Consequently, we might expect the "real"
cost-of-living rate to fall somewhere between
the CPI on the high side and the peE deflator
on the low side. This relationship hasn't held
consistently over the past generation, at least
during the relatively stable period of the
1960's, but it has held during most of the
recent period of accelerating inflation. The
mean annual increase in consumer prices
over the 1968-79 period was 6.7 percent for
the CPI and 6.q percent for the PCEdeflator,
compared with annual increases of roughly
1.8 percent for both indexes in the 1961 -67
period. In a period of relatively stable prices,
the price elasticities between goods that are
close substitutes generally aren't great
enough to respond to relatively modest price
differentials between the goods. But when
prices are rising, the fixed-weighted market
basket becomes distorted by changes in
tastes-and especially by substitution of less
expensive for more expensive goods.

Actually, BEA depends heavi lyon BLSdata in
compiling its deflators; more than threequarters of the PCEdeflator is directly comparable with the coverage in the CPI. The
other one-fourth includes items that are
treated differently for conceptual reasons,
such as net purchases of used cars, expenditures for nonprofit institutions, and (especially) the rental value of owner-occupied
housing.

Comparing necessities
Considerations such as these help us evaluate
the many controversies over the CPl's value
as an inflation indicator. Forexample, there is
the criticism, made by the National Center for
Economic Alternatives, that the CPI understates the rise in prices of the necessities
purchased by the poor. In this view, the inflation of the past decade has been most
prevalent in the prices of basic needs-food,
housing, energy and medical care. Thus,
inflation has fallen most harshly upon the
poor and middle-income families who must
perforce devote most of their income to such
necessities. To test this argument, the Center
for Economic Alternatives devised a "necessities price index" on the basis of the CPI
series for food, shelter, energy and medical
care. This series increased at an 8.6-percent
annual rate for the decade of the 1970's,
compared with a 7A-percent annual rate of
increase in the official CPI (see chart).

Comparingindexes
The CPI, a Laspeyres index, may overstate
price increases-mainly because as prices
change, consumers will alter their consumption patterns to include smaller amounts of
products with large price increases and larger
amounts of products with small price increases. (If consumers can do this without
reducing their total satisfaction, the use of
base-period commodity selections will tend
to overstate declines in living standards.) The
PCEdeflator, a modified Paasche index,
conversely may understate price increases-

2

Percent

10

Consumer Price Change
Average (1970-79)

8

6

4
2

o

Necessities

Necessities
(Revised)

This relatively crude index may overstate the
actual inflation rate for the poor, however, as
has been suggested by the Brookings' economist Joseph Minarik. The latter devised an
"improved necessities index" by adding
apparel (an obvious necessity), deleting the
restaurant-food component (a relative luxury), and substituting the residential-rent
component for the home-ownership component (because low-income families
normally rent rather than buy.) Minarik's
necessities index increased at a 7.0-percent
annual rate over the decade-considerably
less than either the official CPI or the crude
necessities' index. But the PCEdeflator increased at an even slower pace, at a 6.6percent annual rate over the decade, partly
reflecting its derivation as a Paasche-based
index, as opposed to the Laspeyres' basis of
the other indexes. This difference was widest
in 1979, when the PCEdeflator increase (10.2
percent) ranked two percentage points below
the rise in the Minarik necessities index, three
percentage points below the official CPI
increase, and seven percentage points below
the rise in the crude necessities index.

PCE
Deflator

period-and not on the entire housing stock,
as is sometimes erroneously believed. (Still,
that weighted figure overstates reality in periods of low housing activity such as the present.) In response to the demand for a better
theoretical measure of housing costs and its
own desire to improve the existing series, BLS
now publishes five experimental measures of
home-ownership costs.
These alternative measures yield quite diverse results in comparison with the official
home-ownership component, which rose
23.8 percent between June 1 979 and June
1 980. However, BLS estimated much smaller
weights for these alternative measu'resthan
for the official home-ownership component,
which accounts for 22.8 percent ofthe total
index. Thus, substitution of any but one of the
five low.-weighted alternatives would help
dampen the sharp rise in the overall CPI
caused by soaring home-ownership costs.
What can policymakers learn from all these
statistical considerations? Perhaps the strongest conclusion is that the CPI tends to overstate "actual" inflation at the present time,
because of the index's general weighting
procedures and its overweighting of homeownership costs. This suggeststhat 80 million
workers, pensioners and others may be getting more than their due, to the extent that
their incomes adjust directly to increases in
the CPI. In devising a solution, policymakers
would'do well to apply more sophisticated
measures, such as CPI variants or the peE
deflator, in future indexing agreements-and
in future discussions of the inflation problem-ail the while recognizing that the
various yardsticks will differ greatly in construction because they are basically designed
to do different things.

Comparinghousingcosts
Part of the difference in this regard, and part
of the basic criticism of the CPI, centers
around the CPl's treatment of housing costs.
Houses and other durable goods yield a
stream of consumer services-such as shelter
and transportation -which are consumed
during the period covered by the index.
Critics thus argue that such goods should not
enter the index as a single purchase but
as some measure of current user cost or
consumption.
The official CPI includes five components in
the base weight for home ownershipproperty taxes, property insurance, home
maintenance and repair, total price paid for
the home, and total contracted interest payments over half the mortgage term. The
weights for the last two items are based on
about six percent of the total-the percentage who purchased homes during the base

Herbert Runyon

3

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:t1
BANKINGDATA-TWELFTHFEDERAL
RESERVE
DISTRICT
(Dollaramountsin millions)
SelectedAssetsand liabilities
large CommercialBanks
Loans(gross,adjusted)andinvestments*
Loans(gross,adjusted)- total#
Commercialand industrial
Realestate
Loansto individuals
Securitiesloans
U.s.Treasurysecurities*
Othersecurities*
Demanddeposits- total#
Demanddeposits- adjusted
Savingsdeposits- total
Timedeposits- total#
Individuals,part.& corp.
(LargenegotiableCD's)
WeeklyAverages
of Daily Figures
MemberBankReservePosition
ExcessReserves
(+ )/Deficiency(-)
Borrowings
Net freereserves
(+ )/Netborrowed(
-)

Amount
Outstanding
11/26/80
145,030
122,833
36,723
49,861
23,936
1,206
6,735
15,462
45,911
32,238
29,142
69,482
60,339
27,274
Weekended
11/26/80
n.a.
299
n.a.

Change
Changefrom
yearago
from
Dollar
Percent
11/19/80
1,610
9,736
7.2
1,485
10,641
9.5
943
4,782
15.0
7,092
16.6
384
73
268
0.3
- 13.0
180
62
94
679
9.2
1.4
31
226
2,299
5.3
658
112
1,173
3.8
- 197
440
1.5
11,019
1,596
18.8
1,466
10,451
20.9
812
5,521
25.4
Weekended
Comparable
year-agoperiod
11/19/80
n.a.
245
n.a.

24
107
83

* Excludestradingaccountsecurities.
# Includesitems.notshownseparately.
Editorialcommentsmaybeaddressed
to theeditor (WilliamBurke)or to theauthor.... Freecopiesof this
andother FederalReserve
publicationscanbeobtainedby callingor writingthe PublicInfonnationSection,
FederalReserveBankof SanFrancisco,P.O.Box7702,SanFrancisco94120.Phone(415)544-2184.

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