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May 14,1982

I n terest Rates: H ow M u ch Is Reai?(I)
Proper implementation of monetary policy
requires an evaluation of whether private
markets perceive policy as being too tight,
too easy, or about right. For example, what
does the current environment of exceptionally high nominal interest rates imply about
monetary pol icy? If those high rates are due to
high and rising inflation expectations, the
markets may believe that monetary policy is
too easy. On the other hand, if high market
rates are due to high real rates, monetary
policy may be too tight. In this and next
week's Weekly Letters, we evaluate developments in the stock and bond markets in an
attempt to determine how financial markets
view high long-term interest rates-in terms
of high inflation expectations or high real
rates.
For the purpose of this analysis, we will
define the real interest rate as equal to the
market interest rate when the expected rate of
inflation is zero. If the expected inflation rate
is positive, then the real interest rate would
equal the nominal rate when the principal
(and coupon) value ofthe underlying security
is indexed to the price level. On this basis, the
real interest rate would equal the market rate
less the expected inflation rate-the latter
including any risk factors resulting from the
failure to realize the expected inflation rate.
Inflation risk is not symmetrical between suppliers and demanders of corporate debt. Corporations who sell bonds face the risk that the
actual rate of inflation will be less than they
had expected, so thatthey may pay too high a
rate. They have some protection against this
risk from the "ca"" provision, i.e. repaying
debt before maturity. But bond purchasers,
unlike sellers, face the potential risk thatthe
actual rate of inflation will exceed the
expected rate, so that they may receive too
Iowan interest rate in compensation. There is
no para"el to the seller's call provision to
protect buyers from this risk. As a result, the
demand for corporate bonds tends to fall with

a rise in inflation risk, which simultaneously
raises the inflation-risk premium in interest
rates and reduces the volume of transactions.
Inflation risk should be added to the inflation
premium rather than the real interest rate because ·it has opposite implications for monetary policy. If real interest rates go up because
of a shortage of liquidity or increased business-cycle risk, monetary policy may be too
tight and probably shou Id be eased. On the
other hand, if interest rates'go up because of
rising inflation risk, monetary policy may be
too easy and probably should be tightened.

Short-term rates...
Short-term real interest rates are relatively
easy to determine because of the relative ease
of measuring short-run (6 to 12 month) inflation expectations.
• The actual inflation rate of the last 6 to 12
months is a good proxy forthe expected inflation rate over the next 6 to 12 months.
• Because of the lags between monetarypolicy changes and inflation, past money
growth will be the dominant factor in influencing inflation over the next 6-1 2 months.
Ct Major supply-side shocks,such as sharp
oil-price increases, can affect the general
price level relatively predictably over the subsequent 6-1 2 months.

. .. and long-term rates
Real interest rates on long-term securitiesour primary focus here-are more difficult to
measure because of the lack of any clear-cut
way to measure long-run inflation expectations. First, there is no necessary link between
past inflation and the expected inflation rate
over the next 5 to 15 years. Second, futurenot past-monetary policy wi" determine
the rate of inflation over periods of that
length.
Given the substantial theoretical and empirical problems involved in measuring long-run
inflation expectations, it may be useful to
measure real long-term interest rates more

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Opinions expressed in til!:; newsletter do not
necessa rilv refiect the views of the rnanagement
of the Federal Reserve Bank of San Francisco,
en of the Board of Cc}V(?rnors of the Federa!
Reserve

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directly-perhaps through the stock yield
(current dividend divided by current stock
price). In the economics literature, the stock
yield is sometimes used for this purpose
because stock ownership is a claim on a corporation's real property. Generally, however,
financial analysts believe it is inappropriate to
compare stock and bond yields, because
bond yields measure the total return to'bonds"
while stock yields measure only a part of the
total return to stocks, the remainder including
growth expectations for future earnings and
dividends. But yield comparisons would be
valid if we could treat stock yields as a proxy
for real yields, in the same way that bond
yields measure normal market yieJds. That
would be reasonable where changes in the
expected inflation rate lead to proportional
changes in the expected growth of dividends.
When the value of an investor's holdings is
roughly indexed to inflation, the current stock
yield would not need to rise with inflation
expectations or inflation risk.

mid-1 950's and then fluctuated in a narrow
range around 3 percent until 1973. However,
the utility-stock yield generally moved
closely in line with the industrial-stock yield
until 1 965 -a period of low and stable
expected inflation -but then moved with the
bond yield as the expected inflation rate rose
after 1965. This divergent behavior on the
part of the two stock yields reflects the money
illusion exhibited by public-utility commissions at least until 1973. (Seeour article in the
Spring 1 976 issue of the Bell Journal of Economics.) When the expected inflation rate
went up, commissions refused to permit regulated utilities to obtain higher growth of
nominal earnings and dividends. As a result,
utility stocks behaved just like bonds, with a
parallel drop in prices and parallel rise in
yields to reflect higher inflation expectations.
The typical, unregulated industrial corporation did not suffer from this problem, however, so that industrial-stock yields as a group
did not incorporate an inflation premium.

Dividendsand inflation

Second, if a stock yield is free of inflation
expectations, it measures the real return on
equity and thus moves roughly in line with
the real return on other securities. We find
evidence of this in the significant degree of
correlation between monthly changes in
stock yields and the real Treasury-bill rate
during the 1970's.

Expected dividend growth reflects, first,
expected real growth, i.e., the volume of real
sales projected in the future. Second, it
reflects the price at which those sales will be
transacted, i.e., the expected inflation rate.
For the economy as a whole, the expected
real growth rate is relatively stable and
changes only slowly. However, inflation
expectations are high and can change
rapidly, so we can assume that changes in
dividend expectations will be dominated by
changes in inflation expectations. Three separate pieces of evidence support the proposition that they move proportionally, which
means that the stock yield is a real yield.

Third, we have at least indirect evidence of a
parallel movement in dividend expectations
and inflation expectations. Actual dividend
growth has moved in line with the actual
inflation rate since inflation started to accelerate in 1965. Furthermore, the return to
equity multiplied by earnings retention (earnings minus dividends)-a good measure of
i nterna Ily-generated earn i ngs growth -has
risen roughly in line with the inflation rate
over time. On this basis, the total return to
stocks (current yield plus expected dividend
growth) has increased from about 7 percent
in the first half of the 1960's, when the inflation rate was low and stable, to almost 18
percent in the early 1 980's, when the inflation rate reached double digits.

The divergence between industrial and utility
stock yields during the recent period of inflation strongly supports this thesis (see chart).
The S&P bond yield increased from 3 percent
to 4 percent in the mid-1 950's, remained
relatively stable unti I 1 965, and then gradually rose again with the actual and expected
rate of inflation. The industrial-stock yield
declined from 4 percent to 3 percent in the
2

Measureof real rates

Our analysis thus suggeststhat (1) changes in
stock yields are a good indication of changes
in real interest rates and of changes in
business-cycle risk, and (2) changes in bond
yields relative to stock yields are a good
indication of changes in inflation expectations and inflation risk. In our next Weekly
Letter,we will evaluate the information
content of current stock and bond yields to
determine what the financial markets see as
the major current risks in the economy.

All of these tests independently make the
same point: stock yields are a measure of real
rates, just as bond yields are a measure of
nominal rates. This does not mean that stock
. yields will always move in line with real bond
yields, because stock yields are more sensitive to business-cycle risks and probably have
a higher average value than real bond yields.
However, relative stability in stock yields
would suggest parallel stability in the real
yields on bonds.

MichaelW.Keran

Percent

8
STOCK AND BOND YIELD S

7
High-grade bonds ..
( Composite)

6

5
4
1
\

3

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Industrial stocks"
1 955

1 958

1961

1 964

3

1967

1970

1973

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BANKIN G DATA-TWE LfTH FEDERALRESERVE
DISTRICT
I

(Dollar amountsin millions)
Selected Assetsand Liabilities
Large Commercial Banks

Loans(gross,adjusted)and investments*
Loans(gross,adjusted)- total#
Commercialand industrial
Realestate
Loansto individuals
Securitiesloans
U.s. Treasurysecurities*
Other securities*
Demanddeposits- total#
Demanddeposits- adjusted
Savingsdeposits- total
Time deposits- total#
Individuals,part.& corp.
(LargenegotiableCD's)
Weekly Averages
of Daily Figures

Amount
Outstanding

Changefrom
yearago
Dollar
Percent

Change
from

4/28/82

4/21/82

159,543
138,559
42,653
57,132
23,504
2,346
6,014
14,970
37,262
26,694
30,401
91,945
82,587
33,887

313
678
164
27
77
203
352
13
-2,310
-1,388
- 994
1,191
1,168
840

-

-

-

Weekended

Weekended

4/28/82

4/21/82

102
105
3

35
198
163

11,281
12,590
5,338
5,139
559
854
540
748
3,336
2,276
91
14,719
14,433
3,625

7.6
10.0
14.3
9.9
2.4
57.2
f8.2
"- 4.8
"- 8.2
"- 7.9
0.3
19.1
21.2
12.0

Comparable
year-agoperiod

Member Bank ReservePosition

ExcessReserves
(+)/Deficiency(-)
Borrowings ."
Net freereserves(+)/Net borrowed(- )
* Excludestradingaccountsecurities.
# Includesitemsnot shownseparately.

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32
330
298

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Editorial comments may beaddressedto the editor (William Burlce)or to the author .... Freecopiesof this
andother FederalReservepublications can be obtained by calling or writing the Public Information Section,
Federal ReserveBankof SanFrancisco,P.O. Box 7702, SanFrancisco94120. Phone(415) 544-2184.