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January 15, 1997

eCONOMIC
COMMeNTORY
Federal Reserve Bank of Cleveland

Stock Market Funda01entals
by Joseph G. Haubrich

The Great Bull Market of 1996-97
has caught the attention of stock market
professionals and individual investors
alike. Because the stock market serves as
an economic indicator and a possible
source of economic disturbances, its recent movements have captured the interest of policymakers as well.
Most of this concern has centered around
whether current stock prices are justified
by economic "fundamentals," or whether
they indicate a speculative "bubble." 1
Investors worry that such a bubble may
burst, leaving their recent gains a mirage.
Policymakers worry about how stock
market wealth impacts consumer spending, whether a bull market is driven· by
fears of inflation, and how they should
respond if the recent correction becomes
a full -fledged bear market.
This Economic Commentary looks at the
major factors behind stock price fundamentals and examines how well those
factors explain-or fail to explainmarket fluctuations .2 As in many prognoses, there are reasons for both optimism and pessimism. Keep in mind,
however, that while economic analysis
may offer insights into the stock market,
it by no means guarantees profits.

• A Shift in Perspective
Before their recent losses, stock prices
had been surging, with market averages
soaring to new heights (sometimes on a
daily basis). These gains can be exaggerated, however, if one ignores the previous] y high level of the market. If the
Dow Jones industrial average moves up
ISSN 0428- 1276

1,000 points to a level of2,000, investors
double their money. A move from 5,000
to 6,000 means a return of 20 percent,
and a similar jump to 7,000 translates
into a 17 percent gain. Figure l exploits
this insight by plotting the Standard &
Poor's (S&P) 500 index on a proportional (logarithmic) scale, where straight
lines indicate constant percentage growth
rates. To provide the same return, prices
must rise more when they are high than
when they are low. From this perspective, the market's recent increases look
more typical.

• Market Fundamentals
Why are people willing to buy a share of
stock? The fundamental approach argues that investors value the dividends
the stock will pay.3 (More generally,
they value the income from the stock,
which might also come from buy-backs
or, in closely held firms, from cushy jobs
given to shareholders.) The value of this
dividend stream should be the value of
the stock.
The value of the dividend stream has two
components. The first is the dividend
stream itself, which, given the uncertainty of its future, entails an educated
guess about what the firm will pay at
some later date. lt is by nature a forwardlooking, expected-value calculation that
buyers must make. Will your favorite
biotechnology company find the cure for
the common cold? ls that gold stock in
your portfolio running low on ore? Will
the software firm you own get its new
operating system out on time? The
answers to these questions matter for the
dividend stream, and thus for stock

-

While the Dow Jones industrial average continues on its roller coaster
course, one thing that remains constant is investors' concern about
whether current stock prices are justified by today's economy or whether
they are based on mere speculation.
The optimist and pessimist camps
are divided over the meaning of dividend and earnings growth, but they
both often ignore the importance of
time-varying expected returns. This
article examines the primary factors
driving stock market fundamentals
and looks at how well those factors
explain -or fail to explain-current
market trends.

p1ices. More genera! macroeconomic
factors, such as inflation, unemployment,
or productivity, impact many firms and
hence affect the market as a whole. For
example, a general inflation would also
boost dividends (in dollar, although perhaps not real, terms) and lead to an
adjustment in stock prices.
Buying a stock is riskier, however, than
putting your money in the bank. This
means that investors will demand a
higher average return on stocks to compensate for the greater uncertainty and
chance of loss. People assign a lower
value to a stock that is expected to pay
$ l per year than to a bank account that
pays $1 a year, because the stock dividend is uncertain. One way to express
this is to say that the interest rate used
to discount the dividend stream is
higher. 4 This interest rate is the second
component affecting the value of the
dividend stream.
The fundamental price of a stock may
thus fluctuate for two reasons. Expectations about dividends may change, or the
required rate of return may change. That
is, future cash flows may vary, or the way
investors value those flows may vary. It's
common knowledge that slow dividend
growth may depress a stock's p1ice, but it
is also true that uncertainty about those
dividends or an increase in bond and
bank rates can have the same effect.
Combining both of these factors allows
us to calculate a "warranted" stock price,
or one justified by market fundamentals.
Such.a calculation must be treated as a
rough estimate because it purports to
measure something unobservable: people's expectations. Seemingly small
changes in the method could yield substantially different results. Still , the
effort is instructive. By using a five-year
average of dividend growth, we can
obtain an estimate of expected dividend
growth (under the potentially dangerous
assumption that the future will be similar
to the past). By using Moody's composite return on long-term bonds plus a risk
premium of 2.5 percent, we can generate
an estimate of the return investors demand on stocks.5

FIGURE 1 S&P 500 PRICE PER SHARE
Dollars. in logarithms
1 ,000
600

300

100

30

10......._......._......._.._._.._._.._._.._._.._._.._._.._._.._._......._......._......._......._........._........._........._....._......_......_......_......_.__._.__._.__._.u

1947

1952

1957

1962

1967

1972

1977

1982

1987

1992

1997

SOURCE: Standard & Poor's Corporation.

Putting these two estimates together
allows us to compare actual with warranted stock prices based on the estimated fundamentals. Figure 2 shows the
pessimist's side of the story: Stocks look
overvalued because dividend growth
has been too slow to justify the recent
surge in prices. This relationship is not
pe1fect, of course, but the current gap
seems particularly large. Recent divitlend growth of less than 4 percent is far
below the 8 percent posted in the early
1990s, let alone the l l or even 12 percent growth of earlier years.
Optirnists take a somewhat different
view. Dividends do not appear out of
thin air. Rather, they are one destination
for a fu111 's earnings . This makes earnings growth more fundamental than dividend growth, and earnings growth has
been explosive in recent years (see figure 3). The optimist maintains that
increased earnings will eventually result
in larger dividends, justifying today 's
high stock prices. The price-to-earnings
(PIE) ratio, at a relatively high 19, seemingly contradicts this point, but it ignores
the important distinction between the
level and the growth rate of earnings. It's
not the height but the speed of a rocket
that keeps it moving forward. The optimist focuses on earnings growth. lf
growth remains strong, the PIE ratio
may likewise stay at a consistently high

level, since investors expect earnings to
continue rising.
The argument between optimists and
pessimists also involves another statistic,
the payout ratio, which tracks the fraction of earnings paid out as dividends.
Historically, it averages around 50 percent, but the current figure is closer to
35 percent. Pessimists think that recent
earnings growth is unsustainable and
that firms , knowing this, have kept dividends stable. And shouldn 't firms have
the best forecast of their own earnings?
The payout ratio will return to its longrun level when earnings fall. Optimists
believe that firms have merely delayed
dividend increases, and that the low payout ratio leaves a lot of room for dividend growth, even if earnings slow.
Optimists have one more reason to prefer the message from earnings: stock
repurchases. Dividends are not the only
way to get cash into the hands of shareholders. A company may also repurchase a portion of its shares. Even those
stockholders who hang onto their shares
benefit from a higher stock price, and
perhaps from higher future dividends.
Stock repurchases do not show up as
dividends, and thus low dividends may
reflect a shift to repurchases rather than
a low payout to shareholders.

FIGURE 2

S&P 500 STOCK PRICES: WARRANTED VS. ACTUAL

Dollars

Boor--------------------700
Actual price

300
200
100
0
198~1~'"----'.1~9~83~~1~98~5--l..~19~8~7-1...---;;19~89:;--L-1~9~91:--1---:1~99~3-1~19~9-5_L~19L97_J

SOURCES: Standard & Poor's Corporation; and author 's calculations.

FIGURE 3

S&P 500 EARNINGS PER SHARE

Five-year percent change

2s r--'-----''-----------------~

20

15

1g~s3t-'-v1g~st1-'-'11t.95j1-'--'1~95~s'-'-~19~59::-'-~19~1~3........1~91~1_.__.1~gs~1'-'-~1g~ss,._._~19~s~g.........,1Jgg~3_.__.1wgug1

-10

SOURCE: Standard & Poor 's Corporation.

As noted above, however, dividends,
earnings, and repurchases represent only
half the fundamental story. The risk factor, or the higher expected return that
people demand on stocks, also changes
over time. If that number falls, it pushes
stock prices higher.
A generation ago, most people attributed
shifts in stock market fundamentals to
dividends or earnings, but one of the
clearest messages coming out of the academic finance literature over the past 15
years is the importance of time-varying
expected returns.6 That is, more varia-

tion in fundamentals, and hence in stock
prices, .results from variation in the risk
factor and the expected return than was
previously thought.
The return expected on stocks may vary
for two reasons. The riskless interest rate,
measured by insured bank deposits or
default-free Treasury securities, may
change along with the health of the economy, productivity, or Federal Reserve
policy. Alternatively, the risk premiumthat is, the extra return that people get for
holding risky stocks-may change. A
lower risk premium reflects either a less

risky market or investors who are more
willing to bear such risk, much as a boom
in skydiving might be attributed to either
safer parachutes or a younger, more daredevil population.
From the pessimist's viewpoint, the evidence for both of these possibilities is at
best mixed. Recall that figure 2 includes
a changing interest rate in the calculation
of the warranted price, yet still reveals a
large gap between warranted and actual
stock prices. By some measures, such as
yearly standard deviation, market volatility has been relatively low over the
past five years, but it has also been rising
since 1994.
The optimists do have some evidence on
their side. An excellent predictor of future stock market returns is the dividendto-price (DIP) ratio. For returns based on
holding a stock for five years, the DIP
ratio accounts for more than 40 percent
of the variation.7 This figure is now at a
post-World War II low, which strongly
suggests that investors are accepting a
smaller return on stocks than in the past,
for whatever reason.s
This phenomenon has consequences that
both optimists and pessimists can appreciate. The optimist sees the low expected
return as a justification for high stock
piices; the pessimist sees the low expected return as exactly that and nothing
more. But there is also a subtler effect
concerning the influence of dividends. A
lower expected return means that changes
in dividend growth will have a greater
impact on stock prices. It thus makes
questions about dividends and earnings
more important than before.

•

Conclusion

Asset pricing is not an exact science. The
market has crushed the bones of many a
sure-fire scheme under the iron heel of its
random walk. This is not to deny that
there are many good investment opportunities available, but only to emphasize
that pitfa!Js exist as well . A better appreciation of the forces driving market fundamentals may give investors (and policymakers) the sagacity to find one and
avoid the other.

•

Footnotes

1. This Economic Commentary went to press
on May 8, l997.

2. Nothing in this article should be construed
as investment advice, either on behalf of particular stocks or in regard to overall in vestment strategies.

3. T he classic discussion of this jssue can
be found in John Burr Williams (first published in l938) , "Evaluati on by the Rule of
Present Worth," in James Lorie and Rjcbard
Brealey, eds. , Modem Developments in Investment Management: A Book of Readings,
2d ed., Hinsdale, Ill.: Dryden Press, 1978, pp.
47 1-9 1. (If the equations are not to your taste,
memori ze the poem.) A particularly clear and
comprehensive modem treatment is presented
in John Y. Campbell, Andrew W. Lo, and A.
Crajg MacK.inl ay, The Econometrics of Financial Markets, Pri nceton, NJ. : Princeton University Press, l997 , pp. 253-89.
4. For a helpfu l discussion of this point, see
Timothy Cogley, "Why Do Stock Prices
Sometimes Fall in Response to Good Economic News?" Federal Reserve Bank of San
Francisco, Economic Letter No. 96-36,
December 13, 1996.

Federal Reserve Bank of Cleveland
Research Department
P.O. Box 6387
Cleveland, OH 44101
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Material may be reprinted provided that
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5. The 2.5 percent equity premium represents
a rough guess that is in line with historical
measures and that also provides a sensible
warranted-price series. For a more sophisticated approach, see R. Glen Donaldson and
Mark Kamstra, "A New Dividend Forecasting Procedure that Rejects Bubbles in Asset
Prices: The Case of the 1929 Stock Crash,"
Review of Financial Studies, vol. 9, no. 2
(Summer 1996), pp. 333 - 83.
6. See, for example, Robert F. Whitelaw,
"Time Variations and Covariations in the
Expectation and Volati lity of Stock Market
Returns," Journal of Finance, vol. 49, no. 2
(June 1994), p. 515 .

7. See John Y. Campbell , Andrew W. Lo, and
A. Craig MacKinlay, The Econometrics of
Financial Markets (footnote 3), section 7.2.

-

J oseph G. Haubrich is a consultant and
economist at the Federal Reserve Bank of
Cleveland.
The views stated herein are those of the
author and not necessarily those of the Federal Reserve Bank of Cleveland or of the
Boa rd of Governors of the Federal Reserve

System.
Economic Commentary is available
electronically through the Cleveland Fed's
home page on the World Wide Web :
http://www.clevjrb.org.

8. For more evidence supporting this point,
see Oli vier J. Blanchard, "Movements in the
Equ ity Premium," Brookings Papers 0 11 Economic Activity, vol. 2 ( 1993), pp. 75- 11 8.

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