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How Capital Taxes Harm Economic Growth: Britain Versus the United States

Lee E. Ohanian

Inflation-Indexed Bonds:
How Do They Work?
Jeffrey M. Wrase*

I

n a Newsweek article in 1971, economist and
Nobel Laureate Milton Friedman scolded the
government for repaying its debt in dollars
whose value is eroded by inflation. His prescription was to:
“Let the Treasury promise to pay not $1,000
but a sum that will have the same purchasing
power as $1,000 had when the security was
issued. Let it pay as interest each year not a
fixed number of dollars but that number adjusted for any rise in prices.”
Now, 26 years after the urging of Professor

*Jeff Wrase is a senior economist in the Research Department of the Philadelphia Fed. This article is available
on the Internet at 'http://www.phil.frb.org/econ/br/
brja97jw.pdf'.

Friedman and a host of commentators before
and after him, the U.S. Treasury has unveiled
an “inflation-protection security.” This new security, also known as an inflation-indexed or
inflation-linked bond, is designed to protect the
purchasing power of an investor’s savings by
indexing interest and principal payments to
consumer prices. If prices go up, so, too, do
dollar payments from an indexed bond. Therefore, holders of indexed bonds aren’t hurt by
inflation.
The Treasury started its indexed bond program in January 1997 by issuing 10-year inflation-protection bonds, with principal and interest payments linked to the consumer price
index for all urban consumers (CPI-U). The indexing program will expand to include bonds
of different maturities and other types of financial instruments, such as savings bonds. The
3

BUSINESS REVIEW

United States joins Canada, Sweden, New
Zealand, the United Kingdom, and many other
countries that also issue bonds linked to inflation.
This article provides a simple description of
the new inflation-protection bonds. We’ll consider why indexed bonds can be useful to investors, to the Treasury, and to policymakers in
the Federal Reserve.
HOW DO INFLATION-INDEXED BONDS
DIFFER FROM CONVENTIONAL BONDS?
Conventional Bonds. Conventional bonds
promise fixed dollar payments of interest and
principal. The real value, or purchasing power,
of a bond’s payment is how many goods and
services it can buy. However, real values of future dollar payments are not known when a
conventional bond is issued because future inflation is unknown. Therefore, both the purchaser and the issuer of a conventional bond
face inflation risk, the risk of unanticipated
changes in the purchasing power of the nominal (dollar) payments promised by the bond.
Consider purchasing for $10,000 a one-year
bond that pays back your principal investment
plus a nominal return of 5 percent. This bond
will pay $10,500 at the end of one year. The real
value of the $10,500 received in one year depends on what happens to prices. Suppose you
expect inflation to be 3 percent over the year.
While the nominal payment will be $10,500 at
the end of a year, you expect that it will cost
$10,300 then to buy what $10,000 buys at the
start of the year. Thus, you expect to have $200
of extra purchasing power at the end of the
year—a 1.94 percent real increase in purchasing power.1
However, suppose inflation turns out to be
5 percent. In this case, the bond generates a zero
real return because goods and services that
could be obtained with $10,000 at the start of
1

The percentage increase in purchasing power is ($200/
$10,300)·100=1.94%.
4

JULY/AUGUST 1997

the year end up costing $10,500 at the end of
the year. The higher inflation rate eliminates
your expected real return. The beneficiary is
whoever issued the bond, since the issuer ends
up paying a nominal amount whose purchasing power is eroded by unexpectedly high inflation. But if inflation turns out to be unexpectedly low, your real return rises. If inflation is 1
percent, your real return will be $400, or 3.96
percent.
In general, when inflation is higher than expected, bondholders suffer unanticipated losses
of purchasing power. Conversely, when inflation turns out to be lower than expected, bondholders receive unanticipated gains of purchasing power. In such cases, those who issue nominal debt lose, since the real cost of paying off
conventional nominal debt rises when inflation
unexpectedly falls.
Inflation-Indexed Bonds. With an inflationindexed bond, the real rate of return is known
in advance, and the nominal return varies with
the rate of inflation realized over the life of the
bond. Hence, neither the purchaser nor the issuer faces a risk that an unanticipated increase
or decrease in inflation will erode or boost the
purchasing power of the bond’s payments.
Suppose you are offered a one-year bond that
costs $10,000 today and that promises a real
return of 1.94 percent, which was the real return you expected in the earlier example. The
bond promises that, after a year, you will be able
to obtain 1.94 percent more goods and services.
If inflation turns out to be 3 percent, the face
value of the bond will rise to $10,300, and the
bond will pay interest equal to 1.94 percent of
$10,300, or $200. But if inflation turns out to be
5 percent, the face value of the bond will rise to
$10,500, and the interest payment will be $204.
In either case, you will be able to buy 1.94 percent more goods and services after a year. (For
a more detailed example that compares payments from conventional and indexed bonds
with a maturity of more than one year, see Example of Payments on Nominal and Indexed Bonds.)
FEDERAL RESERVE BANK OF PHILADELPHIA

How Capital Taxes
HarmHow
Economic
Growth:
Inflation-Indexed
Bonds:
Do They
Work?Britain Versus the United States

Lee E.M.
Ohanian
Jeffrey
Wrase

Example of Payments on Nominal and Indexed Bonds
Consider a 10-year conventional nominal bond and a 10-year inflation-indexed bond. Each bond
is purchased at its face, or principal, value of $1000. Although Treasury notes and bonds provide
semiannual payments, the bonds in this example are assumed to provide annual coupon payments.
Each coupon payment on a conventional bond is the coupon rate stated on the bond times the principal. Each coupon payment on an indexed bond is the coupon rate times the indexed principal. The
indexed principal is simply the beginning principal of $1000 scaled up through time at the rate of
inflation. We’ll assume that the coupon rate on the indexed bond is 3 percent, and that actual inflation
over the 10-year horizon turns out to be a steady 2 percent, equal to expected inflation, and that the
coupon rate on the conventional bond is 5.06 percent so that its expected real rate of return equals the
coupon rate on the indexed bond.
A schedule of nominal and real values of payments on the bonds is given below. The real values
give the purchasing power of the nominal payments. For example, suppose a given item today cost
$1. With 2 percent inflation, at the end of the year the same item will cost $1.02, and $1 will purchase
.98 (1/1.02) units of the item. So, $50.60 received at the end of year 1 from the nominal bond will
purchase 49.61 units.
As the schedule of payments shows, the nominal value of the conventional bond’s principal stays
fixed. The real value is eroding through time because of inflation. When received at maturity, the
$1000 principal can purchase 820.35 units of the good. In contrast, when the bond was first purchased, that $1000 could buy 1000 units. The payment schedule also shows how the fixed nominal
payment of $50.60 per year on the nominal bond has a smaller real value over time because of inflation. Note that for the indexed bond, the real values of the principal and interest payments are preserved for the life of the bond. The nominal principal gets scaled up year by year according to inflation. As the principal gets scaled up, so, too, does the nominal coupon payment to preserve the real
return of 3 percent. The indexed bond pays less interest than the nominal bond each year, but that is
offset by its larger payment of principal at maturity.

Schedule of Payments
Conventional Bond
Year Nominal Value
of Principal

1
2
3
4
5
6
7
8
9
10

$1000
$1000
$1000
$1000
$1000
$1000
$1000
$1000
$1000
$1000

Indexed Bond

Real Value Nominal Real Value
of Principal Interest of Interest
Payment Payment

980.39
961.17
942.32
923.85
905.73
887.97
870.56
853.49
836.75
820.35

$50.60
$50.60
$50.60
$50.60
$50.60
$50.60
$50.60
$50.60
$50.60
$50.60

Total Nominal Receipts: $1506
Real Value of Principal at Maturity: $820.35

49.61
48.64
47.68
46.75
45.83
44.93
44.05
43.19
42.34
41.51

Nominal Value Real Value
of Principal
of Principal

$1020.00
$1040.40
$1061.21
$1082.43
$1104.08
$1126.16
$1148.69
$1171.66
$1195.09
$1218.99

1000
1000
1000
1000
1000
1000
1000
1000
1000
1000

Nominal Real
Interest Value
Payment

$30.60
$31.21
$31.84
$32.47
$33.12
$33.78
$34.46
$35.15
$35.85
$36.60

30
30
30
30
30
30
30
30
30
30

Total Nominal Receipts: $1554.07
Real Value of Indexed Principal at Maturity: $1000

5

BUSINESS REVIEW

WHY WILL INVESTORS
BUY INDEXED BONDS?
Investors who desire predictable real cash
flows can now include indexed bonds in their
portfolios. The certain real return will be attractive to investors who are particularly risk
averse. It will also be attractive to savers who
want to protect their savings from being eroded
by inflation.
More generally, inflation-indexed bonds can
be useful in diversifying any portfolio of assets,
as investors in other countries have already
found. However, markets for indexed bonds in
other countries tend to be small and have relatively low amounts of trading activity (see Experiences in Other Countries), reflecting the fact
that indexed bonds are particularly attractive
to specific groups that tend to buy the bonds
and hold them until they mature.
WHY DOES THE U.S. TREASURY
SELL INDEXED BONDS?
For many years the Treasury opposed issuing indexed debt for two main reasons. One was
concern that there would not be strong demand
from investors. The second was that some Treasury officials believed that issuing indexed debt
could increase borrowing costs by fragmenting
(“balkanizing”) the overall Treasury bond market.2 According to this idea, the market for Treasury bonds would fragment and become increasingly tailored to specific classes of investors. As a result, trade across market segments
would be reduced, and the liquidity of all Treasury bonds would fall.3 If Treasury assets become less liquid, investors would demand a

2

See testimony in “Inflation-Indexed Treasury Debt as
an Aid to Monetary Policy,” hearings before the Commerce,
Consumer, and Monetary Affairs Subcommittee of the
Committee on Government Operations, House of Representatives, June 16 and 25, 1992.
3

Liquidity refers to the ease with which an investor
can sell a bond in a secondary market.
6

JULY/AUGUST 1997

premium to compensate for low liquidity, thus
raising the Treasury’s cost of borrowing. Given
its decision to issue indexed bonds, however,
the Treasury has evidently concluded that benefits from issuing them outweigh concerns
about low demand and balkanization.4 What
are those benefits?
Lower Borrowing Costs. Since the real return on conventional bonds is subject to inflation risk, holders of these bonds demand a “risk
premium” in the form of a higher yield relative
to an asset with no such risk. Inflation-indexed
bonds, however, remove the investor’s inflation
risk. So by issuing indexed bonds, the Treasury
can avoid paying the inflation risk premium
found in nominal interest rates on conventional
bonds and can thereby lower its borrowing
costs.
The size of the inflation risk premium is difficult to measure. Recent academic research
suggests that it might be 50 to 100 basis points.5

4

Some wonder why inflation-indexed securities have
not been issued by the private sector. In fact, they have,
but they have not flourished. Some securities, such as variable rate mortgages, are indexed, but not directly to inflation. In the mid-1980s, the Coffee, Sugar, and Cocoa Exchange attempted to trade futures contracts based on the
Consumer Price Index. The CPI futures were offered beginning in June 1985, but died in 1991. According to James
Bowe, president of the exchange, CPI futures didn’t catch
on because there was no primary market for inflation to
trade against, as there is for futures contracts based on commodities or financial assets. That is, certain arbitrage opportunities were not present. With the new inflation-indexed bonds to trade against, inflation futures or real interest rate futures may become viable. For a discussion of
the CPI futures market, see Brian Horrigan, “The CPI Futures Market: The Inflation Hedge That Won’t Grow,” Federal Reserve Bank of Philadelphia Business Review, May/
June 1987.
5

One basis point equals one hundredth of a percentage
point. For evidence on the size of the inflation risk premium, see results in John Y. Campbell and Robert Shiller’s
article “A Scorecard for Indexed Government Debt,” National Bureau of Economic Research Working Paper 5587,
May 1996.
FEDERAL RESERVE BANK OF PHILADELPHIA

How
Capital TaxesBonds:
HarmHow
Economic
Growth:
Inflation-Indexed
Do They
Work?Britain Versus the United States

Lee E.M.
Ohanian
Jeffrey
Wrase

Experiences in Other Countries
Israel

U.K.

Sweden

Australia

Canada

New Zealand

Year First Issued

1955

1981

1994

1985

1991

1995

Amount
Outstanding

27.9

71.1

5.7

2.7

4.3

0.1

79.0

17.8

4.5

3.8

1.4

0.7

20.2

326.9

Infrequent
Trading

24.0

24.0

Very
Infrequent
Trading

(in billions of
U.S. dollars)

Indexed Debt
as Percent of
Country’s Total
Marketable Debt
(percent)

Daily Turnover

(average for 1995,
in millions of U.S. dollars)

Source: Bank of England, Indexed-Linked Debt, conference packet of papers presented at the Bank of England
Conference, September 1995.
The data above show the amount and liquidity (as measured by daily turnover) of indexed debt in other countries
as of March 31, 1996. There are three notable features of the data. First, in Israel, where there have been major
episodes of high and variable inflation, the majority of government debt is indexed. Second, the United Kingdom issues a significant amount of indexed debt. Most long-term borrowing in the United Kingdom is through
indexed bonds known as indexed gilts. Third, markets for indexed debt have low trading activity, which can be
seen by comparing daily turnovers with amounts outstanding. A number of other countries have issued indexed
debt but are not included in the table because of limitations in the data.

That is, the interest rate paid on conventional
nominal bonds is between 0.5 and 1.0 percentage points higher than it would be if investors
did not face the risk that unexpected movements in inflation could change the real value
of their investments.
At the inaugural auction of indexed bonds
on January 29, 1997, the Treasury sold $7 billion of 10-year indexed bonds at a real yield of
3.45 percent. On that date, the yield on conventional 10-year Treasury bonds was 6.63 percent.
According to inflation forecasts taken from the
November 1996 and February 1997 Survey of
Professional Forecasters, inflation is expected to

average 3.0 percent per year from 1997 to 2007.
Those three percentages suggest an inflation
risk premium of 18 basis points in the yield on
the conventional bond.6 Therefore, the Treasury
saved 18 basis points on the yield of the indexed
bond by avoiding the inflation risk premium.
It is difficult to predict, however, whether sav6

The risk premium of 18 basis points is calculated as
follows: Add 3.0 percent expected inflation to the indexed
bond’s real yield of 3.45 percent to get an expected nominal yield, without any inflation risk premium, of 6.45 percent. Subtract 6.45 percent from the conventional bond’s
yield of 6.63 percent to arrive at 18 basis points.
7

BUSINESS REVIEW

ings in future indexed bond issues will be on
the same order, especially since the January 29
auction offered the first indexed bond issue, and
market participants may not have been familiar with details of the new bonds.
Let’s suppose that the inflation risk premium
on conventional Treasury bonds of all maturities eventually settles at 50 basis points—the
low end of the range suggested by academic
studies. How much could the Treasury save
by eliminating the inflation risk premium on
even a small fraction of its outstanding debt?
Lots, because the Treasury borrows lots of
money. The total U.S. government debt held by
investors as of September 1996 was about $3.4
trillion. If the Treasury over time substitutes inflation-indexed bonds for 15 percent of that debt
and, as a consequence, saves the inflation risk
premium on 15 percent of $3.4 trillion, it can
generate a saving of $2.55 billion in interest
payments each year.7 This kind of potential cost
saving helps explain why the Treasury has decided to issue indexed bonds.
While indexed bonds allow the Treasury to
avoid paying the inflation risk premium on
some of its debt, the Treasury faces the risk of
increased nominal costs of debt arising from
future inflation. When inflation rises, nominal
payments on indexed bonds also rise to preserve the real interest rate promised by the
bonds. Thus, with indexed bonds, the Treasury
takes on uncertainty over future nominal payments as investors shed it. Many would agree
with this transfer on the grounds that the government may be in a better position than investors to handle inflation uncertainty.

7

The potential reduction in the budget deficit may be
smaller. If the Treasury cuts its gross interest payments by
$2.55 billion, it also cuts the tax revenue it would capture
by taxing investors’ interest earnings. If all investors faced
a marginal tax rate of 30 percent and none held government bonds in tax-exempt accounts, the Treasury’s saving,
net of the tax effect, would be $1.785 billion ($2.55 billion
times (1-.3)), still a substantial sum.
8

JULY/AUGUST 1997

Less Volatile Real Costs. The Treasury
knows what its real cost of borrowing will be
when it issues an indexed bond, but the dollar
values of its future interest and principal payments are uncertain. In contrast, the Treasury
knows the dollar values of its future payments
when it issues a conventional bond, but is uncertain about its real cost of borrowing.
To see how inflation can affect the real cost
of borrowing, consider the 10-year bonds issued
in January 1997: a 10-year indexed bond with a
real yield of 3.45 percent, and a 10-year conventional bond with a nominal yield of 6.63
percent. Suppose that an investor in the indexed
bond reinvests interest payments annually at
the real yield of 3.45 percent, and that an investor in the conventional bond reinvests interest
payments annually at the nominal yield of 6.63
percent. At the end of 10 years, the investor in
the indexed bond will be able to purchase goods
that cost $14,037.99 in January 1997. That number represents the real value in 10 years of the
Treasury’s payments on the principal and reinvested interest to the investor. This real value
of payments is known to the Treasury and investors when the indexed bond is issued.
The real value of payments on the conventional bond depends on what happens with
inflation. Suppose investors expected inflation
to average around 3 percent over the 10-year
life of the bonds. If inflation turns out to be a
steady 3 percent over the 10 years, the investor
in the conventional bond will be able to purchase goods that cost $14,139.10 in 1997, close
to the purchasing power from the indexed
bond. If inflation turns out to be a steady 1
percent—lower than expected—the investor in
the conventional bond will be able to purchase
$17,202.05 worth of goods in 10 years. In that
case, the Treasury will make higher real payments than expected because inflation was
lower than expected. If inflation turns out to
be a steady 5 percent—higher than expected—
the investor will be able to purchase $11,665.44
worth of goods. In that case, the Treasury will
FEDERAL RESERVE BANK OF PHILADELPHIA

How
Capital TaxesBonds:
HarmHow
Economic
Growth:
Inflation-Indexed
Do They
Work?Britain Versus the United States

make lower real payments than expected.
Thus, with the conventional bond the Treasury faces uncertainty about the real values of
the scheduled nominal payments it will make.
With the indexed bond, the Treasury does not
face volatile future real costs of borrowing. It
knows the real cost of its borrowing and faces
uncertainty about how many dollars it will be
paying to provide a scheduled real return.8
FEATURES OF THE NEW BONDS
As we noted, the U.S. Treasury issued its first
inflation-indexed bonds—10-year bonds with
a 3.45 percent real coupon rate—in January
1997. As with conventional bonds, these inflation-indexed securities provide semiannual
coupon payments determined by a fixed rate
of interest and return the principal at maturity.
In contrast to conventional bonds, the principal on the indexed bond is adjusted by any
change in the level of the Consumer Price Index from the date of issue.9 Each semiannual
coupon payment is arrived at by multiplying
one-half of the stated annual coupon interest
rate by the indexed principal.
The Price Index. For U.S. inflation-indexed
bonds, the principal is indexed to the

8

Aside from saving by eliminating inflation risk premiums, the Treasury would expect to reduce real financing costs by issuing indexed bonds only if its expectations
for inflation are lower than investors’. In the long run, such
a divergence of expectations is unlikely. Note, also, that
any real cost to the Treasury from fixed-rate bonds when
inflation falls is also a real benefit to holders of the bonds.
The effect on welfare for the economy as a whole is difficult to assess. For a broader discussion of some of the welfare effects, see John Campbell and Robert Shiller’s “A
Scorecard for Indexed Government Debt,” National Bureau
of Economic Research Working Paper 5587, May 1996.
9
More specifically, the adjustment is for the change in
the Consumer Price Index from three months before the
bond’s issue date to three months before the scheduled
payment. See the discussion of the indexation lag later in
this article.

Lee E.M.
Ohanian
Jeffrey
Wrase

nonseasonally adjusted CPI-U, which tracks
prices of a basket of goods purchased by a typical urban consumer. It is announced and published regularly by the Labor Department. Although the Treasury could have chosen a number of other price indexes, it chose the CPI-U
because it is well known, is reported regularly,
and encompasses a basket of goods representative of what consumers typically purchase.
Different savers have different objectives.
Some save for their children’s education, while
others save for medical care they may need in
old age. Consequently, some are concerned
about the future prices of higher education,
while others are more concerned about the future prices of medical care. If prices that concern a particular saver behave differently from
prices captured by the CPI-U, an inflation-indexed bond will not entirely protect the purchasing power of concern to the saver.10
Many economists believe that the Consumer
Price Index overstates the true rate at which the
cost of living is rising.11 If so, won’t indexed
bonds tied to the CPI-U overcompensate investors in real terms? Probably not. Participants in
the bond market take into account their perceptions of any bias in the CPI-U’s measurement
of inflation when they price securities. Investors may, however, face some risks if the bias
changes over time and the changes are not predictable.
At various times, the federal agencies responsible for compiling price indexes revise their
calculation methods. How will revisions to the
CPI-U affect indexation adjustments to the new

10
Over the past 10 years the rate of inflation for college
tuition has been close to 8 percent, and for medical care it
has been close to 7 percent. These rates are nearly double
the rate of CPI-U inflation for the same period.
11

For a discussion of possible biases in existing price
statistics, see Leonard Nakamura, “Measuring Inflation in
a High-Tech Age,” Federal Reserve Bank of Philadelphia
Business Review, November/December 1995.
9

BUSINESS REVIEW

bonds?12 According to the Treasury, any revision that influences future measures of the CPIU will be used for future calculations of an indexed bond’s payments. Any revision that influences past CPI-U statistics, however, will not
change previous calculations of principal or
interest, thus ensuring that payments already
made will not be changed retroactively by formula changes. If the base year for computing
the CPI-U changes, the Treasury plans to continue to use the CPI-U calculated from the base
year in effect when the indexed bond was first
issued, “as long as that series is published.”13
There is, of course, always a possibility that
prices will decline (deflation). Then, the inflation-adjusted principal and nominal interest
payments on inflation-indexed bonds will fall.
The inflation-adjusted principal could end up
being less than the principal value when the
bond or note was issued. At maturity, however,
the Treasury will never repay less than the
bond’s initial face value. The Treasury does not
expect to have to implement this “minimum
guarantee” because it does not expect a prolonged decline in consumer prices to occur.
Indexation Lag. Like inflation-indexed
bonds in other countries, indexed U.S. bonds
are subject to an “indexation lag”—bond payments are linked to a lagged value of a price
index. The lag for indexed government bonds
in the United Kingdom (known as indexed
gilts) is eight months. For Canadian indexed
bonds and the new U.S. indexed bonds, the lag
is three months. The principal value of a new
U.S. indexed bond is adjusted semiannually by
multiplying the bond’s initial principal by an

12

Revision of the calculations could mean anything
from changing the base period used to construct the price
index series to modifying definitions of what goods are in
the basket that the price index covers.
13
Quoted from Treasury Press Release, “Questions and
Answers on Marketable Inflation-Protection Securities,”
May 16, 1996.

10

JULY/AUGUST 1997

“index ratio” that accounts for movements in
the CPI-U. Index ratios are announced by the
Treasury.14
A three-month lag means that each semiannual interest payment from an indexed bond is
determined three months in advance. For example, the October 1 interest payment on an
indexed bond issued on April 1 will equal onehalf of the bond’s annual coupon rate multiplied by the inflation-adjusted principal on
October 1. The inflation adjustment from April
1 to October 1 will be based on the change in
the CPI-U from January to July.15 As with conventional bonds, a predetermined nominal payment means inflation risk. In this example, the
risk is that inflation from April to October will
not equal inflation from January to July; if they
differ, the real value of October’s coupon payment will be higher or lower than expected.
However, the risk of large differences in inflation between overlapping six-month periods is
small. In addition, any difference will be made
up in the next interest payment, six months
later, by the ongoing adjustments made to the
indexed bond’s principal.
Because of the indexation lag, an indexed
bond also lacks inflation protection for a short
period right before it matures. The final inflation adjustment to the bond’s principal will be
determined by the value of the CPI-U for three
months before the final nominal payment is
made; so, in effect, for those last three months,
the nominal payment on the bond is predeter14

Monthly CPI-U data and daily index ratios will be
readily available from press releases that can be obtained
through automated fax from the Treasury by calling 202622-2040. Index ratios and reference CPIs can also be obtained on the Internet at the home page for the Bureau of
Public Debt at http://www.publicdebt.treas.gov .
15
Because of the time necessary for collecting price information, the CPI-U for July is reported in August. Thus,
the October 1 interest payment is determined by data collected in July, but it isn’t known with certainty until August.

FEDERAL RESERVE BANK OF PHILADELPHIA

How Capital TaxesBonds:
HarmHow
Economic
Growth:
Inflation-Indexed
Do They
Work?Britain Versus the United States

mined, just like that for a conventional bond.
Of course, on a long-term indexed bond, the
final period of inflation risk is very short relative to the bond’s entire life.
Trading Indexed Bonds. The Treasury’s new
indexed bonds, like conventional Treasury
notes and bonds, provide semiannual interest
payments. Consider a bond trade between a
seller and buyer in the middle of the six-month
period between interest payments. As part of
the trade, the buyer must pay the seller for interest accrued since the last payment.
For a conventional bond, calculation of accrued interest is simple because the amount of
the next nominal payment is known. A buyer
of a conventional bond halfway through one
of the interest periods can simply compensate
the seller for one-half of the next interest payment. For indexed bonds, the indexation lag
makes it possible for traders to know what the
inflation-adjusted face value of the bond is
when a trade is being executed. Using this
knowlege, buyers of bonds can easily compensate sellers for interest accrued plus any change
in principal value during the portion of an interest period in which the seller still held the
bond. Making it easy to calculate interest accrued and principal adjustments during the life
of a bond means that it will be easier to trade
the bonds in secondary markets, thereby enhancing liquidity.
In addition to Treasury indexed bonds, other
types of indexed securities have begun to
emerge. After the Treasury’s initial auction of
indexed bonds, several private firms, government-sponsored enterprises, and some municipalities offered inflation-adjusted securities. It
is too early to tell whether these recent offerings amount to experimentation with a new
asset class or whether the range of indexed security issues will rapidly expand.
Taxes and Types of Investors. As with conventional bonds, the semiannual interest payments on inflation-indexed bonds will be taxable. Investors also will be required to report

Lee E.M.
Ohanian
Jeffrey
Wrase

as income every year any increase in the value
of the principal that arises because of inflation,
even though the increase in principal is not received until the bond matures or is sold.16 Because of this tax treatment, the after-tax yield
on indexed bonds held in taxable accounts will
not be fully insulated from inflation. For this
reason, many people have predicted that indexed bonds will be most useful for tax-exempt
investors such as pension funds and tax-deferred retirement funds like IRAs or 401k
plans.17 According to the Treasury Department:
“We believe that inflation-protection securities would appeal initially to investors
saving for retirement in tax-deferred retirement accounts and to entities such as pension
funds whose liabilities are sensitive to inflation. Once the market becomes established,
other institutional investors, such as insurance companies, might become potential investors if they begin to market new inflationlinked products, such as an inflation-indexed
annuity.”18

16

Increases in principal from inflation adjustments are
treated as ordinary taxable income each year to ensure parity of tax treatment of indexed bonds with discount bonds
sold at prices below their principal values. The Tax Equity
and Fiscal Responsibility Act of 1982 requires that some of
the discount of corporate and Treasury securities be included as ordinary income each year for tax purposes. This
method of taxation also holds for stripped components of
Treasury securities.
17

Pension and retirement funds may prove to be a significant pool of investors. In 1991, for example, private
pension funds, state and local government retirement
funds, and IRAs totaled over $3 trillion. At the end of 1991,
marketable Treasury debt in the form of notes and bonds
was close to $2 trillion. If the Treasury had issued 5 percent of this in the form of indexed debt, it would have
sought a market base of $100 billion, which was around
3.3 percent of pension and retirement funds.
18

Treasury Press Release, "Questions and Answers on
Marketable Inflation-Protection Securities," May 16, 1996.
11

BUSINESS REVIEW

The new U.S. inflation-protection securities
have virtually the same features as Canadian
real return bonds (RRBs), inflation-linked bonds
first issued in 1991. In particular, Canadian real
return bonds receive the same tax treatment as
the new U.S. indexed bonds. Canadian RRBs
are held almost exclusively in tax-deferred investment plans. In addition, since RRBs are the
only fixed-income asset providing a hedge
against inflation in Canada, they are attractive
to investors whose liabilities are linked to inflation. According to the Bank of Canada, the
major investors in RRBs are pension funds and
life insurance companies.19
In the United Kingdom as well, the major
investors in indexed gilts are pension funds and
insurance companies.20 However, from 1982
until 1996 inflation-related appreciation of an
indexed gilt’s principal was exempt from taxes
because it was treated as a capital gain. Thus,
indexed gilts had a tax advantage over conventional gilts.21 Some investors thought this advantage was important: tax-paying investors
held a significant fraction of indexed gilts, especially those with short maturities, though the

Note that the tax liability on an indexed bond held in a taxdeferred account is postponed but will still depend positively on inflation adjustments to the bond's principal.
19
See “Inflation Expectations and Real Return Bonds,”
Bank of Canada Review, Summer 1996.

JULY/AUGUST 1997

majority of investors holding indexed gilts were
tax-exempt.
Other Details. Indexed U.S. bonds are auctioned quarterly, on the 15th of January, April,
July, and October. The auction is a single-price
auction in which all bidders pay the same price.
The price is stated in terms of the yield investors are willing to accept, and all accepted competitive bids receive the highest accepted real
yield on a bond.22 The minimum denomination is $1000 (value of principal at issuance),
and higher denominations must be in multiples
of $1000. Indexed bonds are available only in
book-entry form, which means that securities
are held electronically, not in paper form. 23 Inflation-indexed bonds are also eligible for
“stripping.” When bond traders strip a bond,
they sell claims to its interest payments to some
investors and claims to the principal payment
to others.
WHY MIGHT POLICYMAKERS LOOK
AT RETURNS ON INDEXED BONDS?
Measuring Expectations and Perceptions.
Inflation is notoriously difficult to forecast, especially over long horizons. Monetary
policymakers find it difficult to gauge public
expectations about future inflation and public
perceptions about how monetary policy actions
will affect inflation. Having both inflation-indexed bonds and conventional nominal bonds
can help. Because indexed bonds provide a direct measure of real returns, they make it pos-

20

See Gabriel de Kock, “Expected Inflation and Real
Interest Rates Based on Index-Linked Bond Prices: The U.K.
Experience,” Federal Reserve Bank of New York Quarterly
Review, Autumn 1991.
21
For many tax-paying investors, the tax advantage of
indexed gilts is outweighed by other factors. One important factor is that the volume of trade in secondary markets for indexed gilts is far smaller than that for conventional nominal gilts. Consequently, investors may find it
easier to sell nominal gilts in secondary markets. See
Francis Breedon’s article, “Bond Prices and Market Expectations of Inflation,” Bank of England Quarterly Bulletin,
May 1995.

12

22
For a discussion of how Treasury auctions work, see
Loretta J. Mester, “There’s More Than One Way to Sell a
Security: The Treasury’s Auction Experiment,” Federal
Reserve Bank of Philadelphia Business Review, July/August
1995.
23
The indexed securities are available through the commercial book-entry system (TRADES) or through TREASURY DIRECT for investors who have a direct account with
the Treasury. TREASURY DIRECT is operated by Federal
Reserve Banks acting as fiscal agents for the Treasury.

FEDERAL RESERVE BANK OF PHILADELPHIA

How Capital Taxes
HarmHow
Economic
Growth:
Inflation-Indexed
Bonds:
Do They
Work?Britain Versus the United States

sible to infer information about expected inflation.
We can think of a nominal interest rate on a
conventional bond as being approximately
equal to the sum of an expected real interest
rate and expected inflation. The real interest
rate, in turn, is the sum of a risk-free real rate
and an inflation risk premium.24 Policymakers
looking only at interest rates on conventional
nominal bonds lack information about each
separate component. Without such information, policymakers cannot tell whether movements in nominal interest rates reflect changes
in market expectations about inflation, changes
in real interest rates, or even changes in inflation risk premiums.
Some Measures Already Exist. Monetary
policymakers already have indirect measures
of inflation expectations. For example, there are
statistical estimates of inflation expectations
based on yield curves for existing conventional
Treasury securities. However, these estimates
are imprecise. Policymakers can also use measures of expected inflation as reported in surveys. Survey respondents do not, however, always have the incentive or ability to provide
accurate responses.25 In addition, since surveys
are taken infrequently, policymakers rarely have
up-to-date measures of market expectations of
inflation or of short-run changes in expected
inflation.
Indexed Bonds Can Provide Additional Information. How do yields on conventional and
indexed bonds provide information about inflation expectations and real returns? If the real
yield promised by an inflation-indexed bond

24

For bonds other than U.S. government bonds, the real
interest rate may also include a premium for the risk of
default.
25

For a discussion of the reliability and accuracy of survey forecasts, see the article by Dean Croushore, “Inflation
Forecasts: How Good Are They?” Federal Reserve Bank of
Philadelphia Business Review, May/June 1996.

Lee E.M.
Ohanian
Jeffrey
Wrase

equals the expected real yield on a conventional
bond of like maturity, the difference between
the conventional bond’s nominal yield and the
indexed bond’s real yield roughly equals expected inflation plus the inflation risk premium.
Thus, assuming an unchanged inflation risk
premium, if conventional bond yields rise and
indexed bond yields are unchanged, we can
infer that there has been a rise in inflation expectations. If yields on conventional and indexed bonds rise by the same amount, we can
infer that real interest rates have risen with no
change in expected inflation. Looking at conventional and indexed Treasury bonds with
various maturities, we can obtain information
about real interest rates and market expectations of inflation over various horizons. The
experiences of the Bank of England and the
Bank of Canada with estimating inflation expectations, however, reveal that things are more
difficult than simply subtracting an indexed
bond’s yield from a nominal bond’s yield (see
Measuring Inflation Expectations from Conventional and Indexed Bonds).
Information Can Be Useful to Monetary
Policymakers. While there are practical difficulties in estimating expected inflation and real
interest rates from yields on nominal and indexed bonds, information about expected inflation and real rates can be useful to monetary
policymakers. Such information can help a
policymaker interpret current conditions and
forecast future conditions.26 Information about
real rates and expected inflation could, for example, allow a policymaker to decide whether
increases in long-term bond yields reflect rising inflation expectations or expectations that
real interest rates will rise. An accurate estimate of expected inflation could help in interpreting observed movements in various asset
26

For further discussion, see Donald Mullineaux and
Aris Protopapadakis, “Revealing Real Interest Rates: Let
the Market Do It,” Federal Reserve Bank of Philadelphia
Business Review, March/April 1984.
13

BUSINESS REVIEW

Measuring
Inflation
Expectations
From
Conventional
And Indexed
Bonds

JULY/AUGUST 1997

Two relationships are useful for obtaining measures of
market expectations about inflation from yields on conventional and indexed bonds: the expectations theory of the yield
curve and the Fisher relation.
The Expectations Theory of the Yield Curve. This theory
suggests that the yield on a long-term bond reflects expectations of future yields on short-term bonds. In choosing between a long- and short-term bond, an investor compares the
long-term yield with what she expects to be able to obtain
from a sequence of short-term securities over the long-term
bond’s life. If she expects, for example, that short-term yields
will increase next year, she will demand a higher yield now
on a two-year bond than on a one-year bond because she ex-

pects that in a year’s time, the one-year bond’s yield will be higher. Unless the yield on the current twoyear bond is higher than the yield on the one-year bond, she would be better off investing in a sequence
of two one-year bonds. The expectations theory of the yield curve allows us to infer the market’s expectation of the one-year interest rate in 1998 from observations of one- and two-year interest rates in 1997.
Similarly, it allows us to infer the market’s expectation of the one-year interest rate in 1999 from observations of two- and three-year interest rates in 1997, and so on.
The Fisher Relation. The Fisher relation specifies that the nominal interest rate equals the sum of the
expected real interest rate and the rate of inflation. This reflects our discussion that a conventional nominal bond yield consists of a real yield that an investor expects plus compensation for expected average
inflation over the bond’s life. As we discussed in the text, expected real interest rates may include inflation risk premiums, so an extended Fisher relation says that a nominal interest rate equals the sum of a
riskless expected real interest rate, expected inflation, and an inflation risk premium. (Technically, the
Fisher relation is exactly correct only for continuous rates of return and inflation. For annual rates, it is
approximately correct.)
Practical Difficulties in Measuring Inflation Expectations. In practice, the expectations theory may
not hold exactly. For a variety of reasons, long-term yields aren’t only averages of actual and expected
future short-term yields. It is also unlikely that the difference between the yields on a conventional and
an indexed bond contains only a measure of expected inflation plus an inflation risk premium. So, in
practice, measuring inflation expectations is more difficult than simple subtraction. Practical difficulties
include the following.
Coupon payments. Different bonds have different coupon payments. Consequently, yields on conventional and indexed bonds trading in the market with different coupons have to be calculated on a comparable basis. The Bank of England does this by calculating a zero-coupon equivalent yield, which is the

14

FEDERAL RESERVE BANK OF PHILADELPHIA

How
Capital TaxesBonds:
HarmHow
Economic
Growth:
Inflation-Indexed
Do They
Work?Britain Versus the United States

Lee E.M.
Ohanian
Jeffrey
Wrase

yield on a hypothetical bond that has no coupon and makes only one future payment. a Looking at zerocoupon nominal and real yields at various maturities, the Bank of England constructs a series of average
inflation expectations over the next year, two years, and so on. These expectations are then converted
into implied forward rates that represent inflation expected in each future year. The Bank of Canada,
which has a shorter experience with indexed bonds than the United Kingdom, uses a similar approach to
measure expected inflation.b
Limited number of indexed bonds. There are a limited number of indexed bonds, so not all maturities are
covered.
Indexation lag. Because of this lag, there remains a small amount of inflation risk in indexed bonds,
which needs to be removed to accurately measure the bonds’ real yields.
Market size and liquidity risk. Secondary markets for indexed bonds are small and not as liquid as
markets for conventional bonds largely because of how the bonds are taxed and the investment objectives of participants. Investors in indexed bonds may demand a premium in the form of a higher real
return relative to that expected from conventional bonds to compensate for low volume of trading activity and the small size of the indexed bond market. Consequently, the difference in yields between conventional and indexed bonds will measure the liquidity risk premium as well as expected inflation and
inflation risk premiums.
Nature of investors. Investors in indexed bonds include people with a particular aversion to inflation
risk. These investors may be willing to obtain a lower real return on indexed bonds than average investors. The effect such investors have on yields can make the differential between conventional and indexed bonds overstate inflation expected by an average person.
Tax treatment. As mentioned in the text, changes in the principal on U.S. indexed bonds from inflation
adjustments will be taxed when the adjustments are made. For tax-paying investors who buy indexed
bonds, the taxation of inflation adjustments means that their after-tax returns are not fully insulated
from inflation. Such investors may seek compensation for the effects of expected inflation on their aftertax yields in the form of higher before-tax yields on the indexed bonds. If indexed bond yields are affected, the difference between conventional and indexed bonds will include a tax effect as well as expected inflation and inflation risk premiums.
a
U.S. indexed bonds will be strippable into separate claims on interest and on principal payments. A claim on
one future payment is a zero-coupon bond. Thus, market data on zero-coupon yields in the United States will be
available from indexed bond strips.
b
For technical details about the Bank of England’s estimates of inflation expectations, see Francis Breedon,
“Bond Prices and Market Expectations of Inflation,” Bank of England Quarterly Bulletin, May 1995, Volume 35, Number 2, pp. 160-65. For procedures used by the Bank of Canada, see Agathe Cöte, Jocelyn Jacob, John Nelmes, and
Miles Whittingham, “Inflation Expectations and Real Return Bonds,” Bank of Canada Review, Summer 1996, pp. 4153. The articles also assess how well measures of expected inflation forecast actual future inflation.

15

BUSINESS REVIEW

yields, since expected inflation matters for investors’ decisions about asset allocations. An
accurate estimate of real interest rates might
help in forecasting future economic activity and
inflation. Perceived real interest rates determine
the real cost of capital for business investment,
which is an important determinant of economic
activity and growth.
Indexed bonds together with conventional
bonds may provide policymakers in the United
States with useful information about real returns and expectations about inflation. If so,
such information will add to the available data
about the state of the economy and expectations
about the future. As Alan Greenspan, chairman
of the Federal Reserve, has remarked:
“...I am confident that we would make
use of new market-based indicators of inflation and real interest rates that would be made
available by the issue of indexed bonds. Such
measures may not mark the way as unambigu-

16

JULY/AUGUST 1997

ously as promised by their most vocal adherents, but they would help.”27
CONCLUSION
The new inflation-indexed bonds issued by
the U.S. Treasury offer an interesting and useful financial innovation. For the Treasury, indexed bonds promise to lower some costs associated with financing U.S. debt. For
policymakers interested in inflation expectations and real interest rates, yields on the new
indexed bonds can be informative. And for investors, indexed bonds offer additional investment opportunities and protection against unanticipated real losses and gains that arise with
nominal debt and unexpected movements in
inflation.
27

Excerpt from Alan Greenspan’s Statement to the Commerce, Consumer, and Monetary Affairs Subcommittee of
the House Committee on Government Operations, June 16,
1992.

FEDERAL RESERVE BANK OF PHILADELPHIA

How Capital Taxes Harm Economic Growth: Britain Versus the United States

Lee E. Ohanian

How Capital Taxes Harm
Economic Growth:
Britain Versus the United States
Lee E. Ohanian*

T

o finance expenditures on goods and services and government programs, governments
levy taxes on many different economic activities. Large countries tend to raise much of their
revenue by taxing income. For example, in the
United States, taxes are levied on capital income,
such as profits and interest, and also on labor
income, such as wages and salaries.
Taxes on income affect economic activity,
since they change the incentives individuals
*Lee Ohanian is an assistant professor of economics at
the University of Minnesota and has been a visiting scholar
in the Research Department of the Philadelphia Fed. This
article is available on the Internet at "http://
www.phil.frb.org/econ/br/brja97lo.pdf'.

and enterprises have to produce, consume,
save, and invest. Taxes on capital income have
potentially important implications for economic
growth, since they change the incentives to accumulate capital goods. For example, increasing taxes on capital income reduces the rate of
return to capital investment. A decline in the rate
of return may lead to less investment and, consequently, slower growth in a nation’s stock of
productive capital. Slower growth in the stock
of capital means fewer new factories, office
buildings, computers, and other types of equipment and structures available to produce output, which can lead to slower economic growth.
This argument suggests that an important
factor in setting capital taxes is the sensitivity
17

BUSINESS REVIEW

of investment to capital taxation. If investment
is insensitive to capital taxation, taxing capital
will not affect the capital stock or economic
growth appreciably. If investment is sensitive to
capital taxation, however, even relatively modest taxation may reduce economic growth considerably. While most economists agree that
increasing capital taxes will lead to reduced
investment, there is no consensus on how large
that effect might be.
This article uses historical differences in capital income taxation between the United Kingdom and the United States to help shed light
on how capital income taxes harm economic
growth. Over much of the postwar period, capital income taxes in the United Kingdom were
much higher than those in the United States.
The genesis of this difference lies in the policies
these countries used to finance World War II.
Following the advice of the influential British
economist John Maynard Keynes, the United
Kingdom increased income taxes, particularly
those on capital income, significantly during
World War II. While some of the same sentiments that helped Keynes persuade the United
Kingdom to raise taxes were also present in the
United States, the increase in U.S. taxes during
the war was small relative to the increase in the
United Kingdom.
The differences in capital income taxation in
these countries during the war and the postwar period provide a natural experiment that
can be used to evaluate the economic consequences of capital income taxation. To gain an
understanding of how capital income taxes affect economic growth, this article discusses the
qualitative mechanisms underlying the possible
growth effects of taxes, contrasts the economic
performance of the United States and the
United Kingdom over the postwar period, and
uses differences in taxation to interpret the differences in economic performance between the
countries after the war.
This article also discusses the evolution of
war-finance policies in the two countries. Al18

JULY/AUGUST 1997

though the United States and the United Kingdom ultimately used very different policies to
finance World War II, I argue that during the
1940s—and even into the 1950s—the United
States came close to adopting the type of policies used by the United Kingdom. Thus, if not
for stubborn U.S. lawmakers who were unwilling to adopt President Roosevelt’s recommendations, tax policies—and perhaps economic
performance—in the United States may have
been very similar to the British experience.1
TAX SMOOTHING AND WAR FINANCE
One of the most important questions that
confront government policymakers is: how
should wars be financed? Wars are times of
national emergency and often require enormous increases in government expenditures. As
a result, wars are periods in which output needs
to be high, so economic inefficiencies associated
with a poorly designed tax system could be very
costly during these episodes. The economic
inefficiency created by a tax is the extent to
which taxation causes a decline in the level of
the taxed economic activity. For example, high
taxation of capital income reduces the incentive to invest, since it reduces the rate of return.
Similarly, high taxation of labor income reduces
the incentive to work, since it reduces aftertax
wages. By reducing the level of economic activity, taxes prevent mutually beneficial trades
that would otherwise have taken place and
thereby make all parties who would have either bought or sold that good or service worse
off.
How can a government raise revenue to finance the war effort while at the same time
keeping economic inefficiency low? Two aspects
of war can influence the design of tax policies
1
This article draws from earlier work of mine, including “The Macroeconomic Effects of War Finance in the
United States: World War II and the Korean War,” and “Postwar British Economic Growth and the Legacy of Keynes,”
with Thomas F. Cooley.

FEDERAL RESERVE BANK OF PHILADELPHIA

How Capital Taxes Harm Economic Growth: Britain Versus the United States

that minimize economic inefficiencies: the level
of government expenditures and the duration
of the war. During wars, substantial resources
are transferred from households to government.
Thus, as the level of government expenditures
rises during wars, fewer goods are available for
private consumption. This specific outcome is
referred to as the income effect of taxation, since
the transfer of resources from households to the
government through taxation effectively reduces household income. To compensate for
this loss of income, households tend to work
harder and produce more goods and services.
The duration of a war also plays an important role. The shorter the war, the more likely
households and firms will try to avoid taxes by
substituting nontaxed activities, such as leisure,
for taxed ones, such as labor. This is called the
substitution effect of taxation. The size of the substitution effect is a key factor in determining
the economic inefficiency of a tax. If the substitution effect is large, taxes can lead to a significant decline in the taxed activity and a big increase in economic inefficiency. For example,
suppose income tax rates were very high for
only one day. In this case, we would expect
households and firms to avoid temporarily high
taxes by reducing work and production on that
day. As a result, tax revenue on that day may
be low, despite high tax rates.
A number of economists have studied the
effects of these two factors on the design of efficient plans for war finance. The best known
work in this area is by Robert Barro, who argues that to minimize economic inefficiency,
wars should be financed primarily by government debt and that the debt should be gradually paid off after the war. This policy is known
as tax smoothing.
To understand how tax smoothing works,
consider the alternative policy: financing a war
while maintaining a balanced budget. The key
feature of a balanced-budget policy is that no
debt is issued to pay for government expenditures. Since expenditures are high during wars,

Lee E. Ohanian

taxes would need to be raised substantially to
ensure that expenditures do not exceed revenues. However, high tax rates will lead to significant economic inefficiency unless the substitution effect is small. Recall that the size of
the substitution effect will depend in an important way on the expected duration of the war.
In particular, if the war is expected to be short,
the substitution effect will be very high because
individuals can avoid temporarily high income
taxes by working less, changing their consumption behavior, and using savings to help finance
their expenditures during the short period in
which taxes are high. If the war is expected to
last many years, however, it becomes much
more difficult for individuals to avoid taxes, and
thus the substitution effect will tend to be
smaller.
Based on the duration of most major U.S.
wars, Barro has argued that it is reasonable to
expect that the substitution effect will be large
during these episodes. Given the presumption
of large substitution effects, Barro’s analysis
suggests using government debt to pay for most
war expenditures. This policy leaves the efficiency of the tax system roughly unchanged
during a war and does not reduce incentives to
produce. After the war is over, taxes are raised
slightly to gradually retire the debt. This tax
increase after a war does not increase economic
inefficiency much, since the increase is fairly
small and is long-lasting. The benefit of financing wars with government debt is that debt can
be used to smooth out tax distortions over time,
leading to a better outcome than the alternative of having very high inefficiencies for a short
period.
HISTORICAL TAX POLICIES IN THE U.K.
AND THE U.S.
Historically, tax policies in the United Kingdom and the United States have been characterized by tax smoothing. Robert Barro and others have argued that U.K. wars prior to World
War II were financed primarily by debt, and that
19

BUSINESS REVIEW

wartime debt was paid off gradually after the
specific war. For example, Cooley and Ohanian
(1997) report that about 70 percent of U.K. government expenditures during World War I were
financed by debt, and this percentage appears
to be even higher for many earlier wars.
During World War II, however, there was a
sharp change in the type of war finance policies used in the United Kingdom. Britain largely
abandoned its historical policy of tax smoothing in favor of a policy designed to finance as
much of the war as possible from contemporaneous taxation. This departure from the standard policy was due to the influence of John
Maynard Keynes, one of the best known economists of the 20th century.2
Keynes was strongly opposed to the use of
debt to finance war expenditures. Keynes opposed deficit financing because of the difficulties faced by several countries in repaying debts
after World War I and also because government
debt was owned primarily by wealthy households. Keynes thought that wars should be periods of sacrifice and not a time when the
wealthy benefited by earning interest on war
bonds. Instead, Keynes favored a balancedbudget policy, in which tax revenue was sufficient to finance government expenditures and
no debt was required to finance the war effort.
Keynes detailed his opposition to the standard practice of tax-smoothing policies and
constructed a specific alternative plan to finance
the war in his monograph How to Pay for the
War: A Radical Proposal to the Chancellor of the
Exchequer. Keynes’s objective was to pay for the
war without using deficit financing. Keynes’s
interest in maintaining a balanced budget during wartime differed sharply from the modern
theory of war finance developed by Barro and

2
Keynes’s book The General Theory of Employment, Interest, and Money, published in 1936, was a widely used text
in graduate economics education for much of the postwar
period.

20

JULY/AUGUST 1997

others. However, Keynes had additional motivations in favoring a policy of higher taxes over
a tax-smoothing one. He recommended not
only that taxes be raised substantially to finance
the war but also that wealthy households exclusively should bear the burden of these taxes.
In Keynes’s view, economic inequality in Britain was too high, and his plan to finance the
war effectively redistributed income from
wealthy households to poor ones.
But such a plan would not raise sufficient
revenue unless it also involved taxing the income of households at all income levels.
Keynes’s solution to this problem was to propose a system of sharply rising levies on all incomes in excess of a small minimum, with the
highest incomes paying a marginal rate of 85
percent. For nonwealthy households, these levies were to be regarded as compulsory savings,
credited to a savings institution of the
individual’s choice, that would be rebated with
interest beginning in the first postwar recession.
The rebates were to be financed by a wealth tax
that would begin following the war.3 Keynes
also had hoped that the wealth tax would become a permanent part of the U.K. tax code.
How a wealth tax affects investment depends
on whether households expect the tax. If households expect that their assets will be taxed in
the future, the expected rate of return to investment will decline, and investment will fall.
Some economists recognized this potential
problem with the Keynes plan and criticized
this component. Sir John Hicks, another leading British economist of the period, argued that
the imposition of a wealth tax would lead to
high economic inefficiencies, as wealthy households altered their behavior to try to avoid the
tax. Although Keynes understood the logic of
this argument, he claimed that households
would not change their behavior significantly
in response to a future wealth tax.
3

A wealth tax is a levy based on the value of household
assets.
FEDERAL RESERVE BANK OF PHILADELPHIA

How Capital Taxes Harm Economic Growth: Britain Versus the United States

Lee E. Ohanian

Keynes also worked hard to persuade Brit- United Kingdom still needed to issue debt to
ish Treasury officials that his proposals should help finance World War II. Thomas Cooley and
replace the standard war finance policy of tax Lee Ohanian report that about 60 percent of
smoothing. Some government officials viewed expenditures were financed with tax revenue,
the proposals advanced in How to Pay for the and just under 40 percent were financed with
War skeptically. The Treasury initially rejected debt.
the proposals, fearing that higher taxes might
The United States also has traditionally fijeopardize the increased level of production nanced wars with tax-smoothing policies. For
required for the war effort. However, Keynes example, before World War II, the United States
was ultimately able to persuade the Chancel- fought six wars financed with a mixture of dilor of the Exchequer that his plan was superior rect taxes, debt, and seignorage. 5 Claudia
to the conventional type of war financing.
Goldin has documented the relative importance
Consequently, Keynes heavily influenced the of these different sources of revenue (Table).
1941 budget statement. The budget contained These statistics suggest that, with the exception
most of the tax changes Keynes had advocated, of the Spanish-American War, the United States
including sharp increases in income taxes—a financed the six wars prior to World War II pristandard rate of 50 percent and a top marginal marily with debt.6
rate of 97.5 percent. The United Kingdom did
During World War II, a greater fraction of
not adopt the large compulsory savings program that had been a key factor of the Keynes
5
plan. Instead, the budget included a very modSeignorage is the revenue the government receives by
est compulsory savings plan that promised re- printing new money.
bates of a small portion of the taxes at the end
6
It should be noted that Goldin does not distinguish
of the war.
between debt finance and seignorage and that the United
The adoption of these policies changed the States made considerable use of seignorage during the
aftertax income distribution considerably in the Revolutionary War.
United Kingdom. For
example, in 1938, the
TABLE
top 289,000 households
War Financing in the United States
had an average aftertax
income of nearly 2000
Percent of expenditures
Percent of expenditures
pounds. By 1949, only
financed
by
financed by debt
the top 11,000 housedirect
taxes
and seignorage
holds had an average
aftertax (inflation-adRevolutionary War
13.1
86.9
justed) income of that
War of 1812
21.0
79.0
magnitude, a decline of
Mexican War
41.8
58.2
96 percent in the numCivil War - Union
9.3
90.7
ber of households at
Civil War - Confederacy
13.0
87.0
that net income level.4
Spanish-American War
66.0
34.0
World War I
24.0
76.0
Despite these sharp
World War II
41.0
59.0
increases in taxes, the
Korean War

100.0

0.0

4

See Cooley and Ohanian
(1997).

Source: Claudia Goldin, 1980, pp. 938-940.

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BUSINESS REVIEW

U.S. war expenditures was financed by direct
taxation (though still a far smaller fraction than
in the United Kingdom). This is broadly consistent with Barro’s idea, since the war was relatively long, and expenditures were high. However, as noted by Paul Studenski and Herman
Kroos (1963), a number of government officials,
including President Roosevelt and Treasury
Secretary Henry Morgenthau, pushed for even
higher taxes. As military expenditures began to
rise in 1941, Morgenthau urged Congress to finance at least two-thirds of defense purchases
with taxes, recommending high taxes on capital income.7
By 1942, President Roosevelt also believed
that the war should be financed with higher
taxes. He fought for a substantial tax increase
and proposed a ceiling of $25,000 on aftertax
household incomes.8 Moreover, he recommended that Congress consider a forced savings plan similar to that designed by Keynes.
Although Congress did raise taxes during
World War II, it did not implement the draconian changes recommended by the President
and his Cabinet. After Roosevelt’s budget message of 1944, in which he chastised Congress
for failing to adopt his recommendations, Senator Walter George, chairman of the Finance
Committee, stated “We have reached about the
bottom of the barrel as far as existing taxes are
concerned.”9
The administration and Congress continued
to clash over tax policy during 1944 and 1945,
but Congress continued to oppose Roosevelt’s
recommendations, and taxes were raised only
modestly over the balance of the war. Thus,
while Roosevelt’s views on war finance were

7

22

similar to those of Keynes, and may have even
been shaped by Keynes, he was not nearly as
successful in influencing tax policy during
World War II.
Even after World War II, support for balanced-budget policies remained high in the
United States. President Truman was a staunch
believer in maintaining balanced budgets.
Studenski and Kroos note that Truman continuously urged Congress “...to finance the greatest possible amount by taxation,” and that he
“...hoped to maintain a balanced budget, even
if military costs doubled.”10 Truman felt that the
policy of using debt to finance World War II was
a mistake: “During World War II we borrowed
too much and did not tax enough.”11 President
Truman was much more successful than President Roosevelt in persuading Congress to raise
taxes in wartime: Goldin estimates that the entire Korean War was financed with taxes on labor and capital income.
U.S. AND U.K. MACROECONOMIC
PERFORMANCE
At the outbreak of World War II, the macroeconomic performance of the United States and
that of the United Kingdom were similar in several ways: both were wealthy countries and
both had relatively skilled labor forces. In addition, both faced similar patterns in the demands that war placed on their economies. For
example, between 1939 and 1944, inflation-adjusted expenditures of the central government
in the United Kingdom rose by a factor of about
8; over that same period, inflation-adjusted expenditures of the federal government in the
United States rose by a factor of about 9.
Despite the similarity between the increases
in government expenditures in these two countries, their macroeconomic performance was

See Studenski and Kroos, page 438.

8
This recommendation implies a 100 percent marginal
tax rate on high income households.
9

JULY/AUGUST 1997

See Studenski and Kroos, page 449.

10

See Studenski and Kroos, page 490.

11

See Studenski and Kroos, page 490.
FEDERAL RESERVE BANK OF PHILADELPHIA

How Capital Taxes Harm Economic Growth: Britain Versus the United States

strikingly different (Figure 1). 12 There are several important differences in the behavior of
output in the two countries. A large gap in output between the two countries emerged during this period. The gap grew considerably
during the war, and narrowed afterward as U.S.
output of military equipment and supplies fell.
The gap also widened somewhat in the 1950s.
Between 1939 and 1959, real output per capita
in the United Kingdom grew at an average rate
of 1.5 percent per year, while that in the United
States grew at the rate of nearly 3 percent per
year.
The output picture in the two countries
changed considerably, however, after the war

12

Output in both countries is measured relative to its
1939 level.

Lee E. Ohanian

(Figure 1). The gap between the two countries
continued to develop as the United States grew
faster in the early 1960s, but this gap narrowed
by the end of the decade. Moreover, from the
1970s on, growth rates in the two countries were
very similar as U.S. output and U.K. output
moved almost in lockstep.
Similar differences between the United States
and the United Kingdom are seen in the behavior of private business investment in plant and
equipment. The United States experienced a
sharp drop in business investment spending
during the war, which reflects the fact that not
many goods were available for private use. As
a result, individuals chose to consume a rising
share of the smaller amount of goods, rather
than forgo additional consumption and invest.
In the U. K., investment also dropped steadily
throughout the war (Figure 2).

FIGURE 1

Real Per Capita Output: U.S. and U.K.
1939-87

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BUSINESS REVIEW

JULY/AUGUST 1997

After the war, however, sharp differences in
the behavior of investment arose between the
two countries. In the United States, investment
rose quickly, from around 4 percent to about 16
percent of GNP, and fluctuated around that
value over the rest of the postwar period. In
the United Kingdom, however, private investment rose modestly after the war, from about 3
percent at the end of the war to about 7 percent
a year later. However, private investment in the
United Kingdom continued to rise gradually
over the postwar period, and by 1980, the rate
of investment in the United Kingdom was similar to that in the United States.
These data indicate that the United Kingdom
grew at a much slower rate during World War
II and for the first half of the postwar period. In
addition, the period of slow output growth coincided with a period of low investment and

low growth in the capital stock. What are the
reasons for this particular pattern of macroeconomic performance in the United Kingdom? In
particular, are there any simple explanations
consistent with both the poor early performance
and the improved performance later?
While many factors can affect economic performance, I highlight one simple difference between these two countries that is consistent with
the different early and late postwar macroeconomic behavior: large differences in taxation of
capital income.
Figure 3 provides a measure of the average
tax rate on capital income.13 Perhaps the most

FIGURE 2

FIGURE 3

Investment/Output:
1940-87

Average Capital Tax Rate:
1940-80

Source: Cooley and Ohanian (1997).

24

13
Economists often distinguish between gross and net
capital income. Gross capital income is total capital income,
and net capital income is gross income less the value of
depreciated capital.

Source: Cooley and Ohanian (1997).

FEDERAL RESERVE BANK OF PHILADELPHIA

How Capital Taxes Harm Economic Growth: Britain Versus the United States

striking aspect of Figure 3 is that capital tax rates
in the United Kingdom during World War II and
the early postwar period are substantially
higher than those in the United States. For example, capital tax rates in the United Kingdom
approach 50 percent at the peak of the war,
which is double the U.S. tax rate of 25 percent.
Note also that capital tax rates in the United
Kingdom decline consistently over the course
of the postwar period, from the peak of 50 percent in 1946 to about 17 percent by 1980. Thus,
the data in Figure 3 indicate that the very high
rates of capital income taxation put in place at
Keynes’s recommendation during the war remained in place in the early postwar period and
were only gradually reversed. In the United
States, the capital income tax rate declines
quickly from 25 percent at the peak of the war
to about 15 percent by 1950. Although the tax
rate increased during the Korean War (1950-53),
it declined modestly over the post-Korean War
period, to about 12 percent.
The very different pattern of these tax rates,
along with the basic theory of how changes in
capital tax rates can affect investment, has important implications for macroeconomic performance in the United Kingdom and the United
States. First, the differences in investment between these two countries immediately after the
war suggest that investment is quite sensitive
to capital income taxation. In 1946, capital income taxes in the United Kingdom were about
twice as high as those in the United States, and
the rate of investment in the United Kingdom
was only about one-third the rate in the United
States. My interpretation of this difference is
that high capital taxes led households to substitute lower taxed activities for saving and investment.
A look at both the behavior of capital taxes
and the investment rate over the entire postwar period sheds further light on the effects of
capital taxes. In the United Kingdom, the steady
decline in the rate of capital income taxation
from 50 percent to about 15 percent resulted in

Lee E. Ohanian

a significant increase in the rate of return to investment. This is consistent with the smooth
increase in the investment rate in the United
Kingdom over the postwar period. As the rate
of return gradually rose, the rate of investment
increased, reflecting the higher aftertax reward
to investing.
In the United States, the capital tax rate declined from 15 percent immediately after the
Korean War to about 12 percent by 1980. Since
the capital tax rate did not change much over
this period, basic theory predicts that the investment rate should also not change much.
This is consistent with the steady investment
rate in the United States over the postwar period.
The historical differences in capital income
taxation between these two countries account
for these three distinctive features: (1) the enormous difference in the rate of investment between the United Kingdom and the United
States at the end of the war, (2) the steady rate
of investment in the United States over the postwar period, and (3) the persistent increase in
the rate of investment in the United Kingdom
over the postwar period. The main implication
for economic growth is that the low rate of investment during the early postwar period in
the United Kingdom led to slower growth in
the capital stock. This observation can help to
account for the low growth rate of U.K. output
during the immediate postwar period.
By the early 1960s, the investment rate in the
United Kingdom had caught up to the investment rate in the United States, resulting in a
pickup in growth in the U.K.’s capital stock.
This catching up also helps explain the fact that
the growth rates for output in the United Kingdom and the United States were virtually the
same after the mid-1960s. But for the United
Kingdom, the period of slow growth in the
1940s and 1950s left the level of real per capita
output persistently lower than that in the
United States.

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BUSINESS REVIEW

CONCLUSION
Historical differences in capital income taxation and the investment rate between the United
Kingdom and the United States suggest that
investment in capital goods is sensitive to taxation of capital income. This analysis concludes
that large increases in capital income taxation,
such as the increase that occurred in the United
Kingdom during World War II, can lead to
sharp declines in investment and future economic growth.
The United Kingdom followed the recommendations of John Maynard Keynes in substantially increasing capital income taxes to finance the war. In Keynes’s day, a common view
in economics was that investment was not very
sensitive to capital income taxation. This view
suggests that financing the war with high capital taxes would not affect investment or economic growth very much and thus helps explain Keynes’s recommendations.
But further analysis suggests that this view
was wrong and implies that Britain would have
had a significantly higher standard of living had
a tax-smoothing policy been used to finance
World War II. Moreover, Britain might have
been much worse off had it adopted all of
Keynes’s recommendations, which included a
permanent wealth tax. Although that policy
may have furthered Keynes’s objective of reducing economic inequality, it’s likely that investment and growth would have been even
lower over the postwar period.

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JULY/AUGUST 1997

As in Britain, there was considerable pressure to increase taxes in the United States during World War II. In fact, President Roosevelt’s
views on war finance were quite similar to those
of Keynes: both argued against debt finance, felt
that the war should be financed by high-income
households, and viewed a forced savings policy
as a potentially important component of war
finance. However, unlike their British counterparts, lawmakers in the United States were not
persuaded by these arguments and instead financed the war primarily through issuing debt,
much as previous wars had been financed.
Even though Congress did follow President
Truman’s recommendations for higher taxes to
finance the Korean War, the relatively low level
of military expenditures during that war did
not require huge increases in tax rates. In recent work, I have found that the economic inefficiency of following a balanced-budget policy
during the Korean War rather than a taxsmoothing policy was about 0.5 percent of real
GNP per year. However, had the United States
used a balanced-budget policy during World
War II, economic inefficiency could have been
as high as 5 percent of real GNP per year
(Ohanian, 1997). This suggests that the United
States was fortunate to have resisted pressure
to raise taxes substantially during World War
II. Otherwise, postwar economic performance
in the United States may been much more like
that of the United Kingdom.

FEDERAL RESERVE BANK OF PHILADELPHIA

How Capital Taxes Harm Economic Growth: Britain Versus the United States

Lee E. Ohanian

REFERENCES
Barro, Robert. “Government Spending, Interest Rates, Prices and Budget Deficits in the United Kingdom, 1701-1918,” Journal of Monetary Economics, 20, pp. 221-47.
Cooley, Thomas F., and Lee E. Ohanian. “Postwar British Economic Growth and the Legacy of Keynes,”
Journal of Political Economy, June 1997.
Goldin, Claudia. "War," in Glenn Porter, ed., Encyclopedia of American Economic History. New York:
Scribner's, 1980, pp. 935-57.
Keynes, John M. How to Pay for the War: A Radical Proposal to the Chancellor of the Exchequer. Vol 9, The
Collected Writings of John Maynard Keynes, London: Macmillan, 1972.
Keynes, John M. The General Theory of Employment, Interest, and Money. New York: Harcourt Brace,
1936.
Ohanian, Lee E. “The Macroeconomic Effects of War Finance in the United States: World War II and
the Korean War,” American Economic Review, March 1997.
Studenski, Paul, and Herman E. Kroos. Financial History of the United States. New York: McGraw Hill,
1963.

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