| Is
There Still Value in the Book-to-Market Ratio?
By James L. Davis
Vice President
Dimensional Fund Advisors Inc.
January 2001 |
|
Recently there has been much discussion in the financial press
regarding whether current accounting procedures accurately reflect
the investment in assets by business enterprises. Commentators
such as Baruch Lev (Barron's, Nov. 20, 2000) argue that
book value of common equity is a poor measure of a firm's net
assets. Others have extended this argument to conclude that the
book-to-market ratio no longer has a place in investment analysis.
In particular, strategies that use the book-to-market ratio to identify value stocks have
come under attack.
| Book-to-market
ratio (BtM) is the ratio of a firm's book value of equity
to its market value of equity. Book value of equity is determined
by the firm's accountants using historic cost information.
Market value of equity is determined by buyers and sellers
of the stock using current information. |
The purpose of this article is to examine the claim that the
book-to-market ratio no longer contains any information that can
be used to identify value stocks. The book-to-market ratio (BtM)
is compared to other measures that are frequently mentioned as
more relevant alternatives. The results indicate that ranking
firms on BtM remains a valid way of identifying value stocks.
The dispersion in annual returns that is produced by a book-to-market
sort is greater than that produced by three alternative measures
for the July 1963-June 2000 period. The dispersion is not reduced
in later years, as suggested by the "new economy" criticisms of
BtM rankings. Regardless of the merit of the criticisms of current
accounting practices, ranking on BtM remains a valid way of selecting
value stocks.
The Central Issue
During the past decade, technology has emerged as a dominant
force in the US and world economies. The value that has been created
by technological innovations is enormous. One of the criticisms
of current accounting procedures is the fact that much of this
technologically based economic value (referred to by Lev as "knowledge
capital") is created by investments that are not found anywhere
on a firm's balance sheet. Consequently, book value of common
equity may be a downward-biased estimate of net asset value for
some firms, especially in recent years. According to this view,
the new economy has made book value (as currently calculated)
obsolete. Extending this argument, some have argued that variables
based on book value are also obsolete. As a result, ranking firms
on BtM is viewed by some as a waste of time.
| A
decile is a portion within a whole that has been
divided into ten equal parts. |
Even if book value does not accurately measure net assets for
some firms, it does not necessarily follow that ranking firms
on BtM is useless. Suppose a particular industry has tremendous
growth prospects, and the firms in this industry all have BtM
ratios around 0.1. They all appear in the bottom decile of the current BtM ranking. Now suppose that
accounting procedures are retroactively changed, so that R&D
and similar expenditures are capitalized, instead of being expensed.
The result is an increase in book value for nearly all firms,
and an especially large increase for the firms in this industry.
Suppose the accounting change doubles their book values, so that
their BtM ratios are now around 0.2. Although their BtM ratios
increased more than those of most other firms, they are still
in the bottom 25% of the BtM ranking, and nobody is in danger
of adding them to a portfolio of value stocks. As long as value
stocks (i.e., firms that are deemed by investors to be in distress
and have poor growth prospects) have higher BtM ratios than other
stocks, ranking on BtM will continue to be a valid way of identifying
these stocks.
How can we judge whether ranking on BtM still allows us to identify
value stocks? The best measure is dispersion in returns. Value
stocks have had higher average returns than growth stocks for
the past several decades, although there have been periods when
this was not true (1999, for example). If a variable like BtM
is still valid for distinguishing value stocks from growth stocks,
we should see return differences for stocks at opposite ends of
the BtM ranking. Proponents of the new economy criticisms of book
value would claim that the strong cross-sectional relation between
BtM and returns should have weakened in recent years as the nature
of the US economy has changed.
Alternatives to BtM
Several other accounting-based variables have been suggested
as alternatives to BtM for identifying value stocks. Earnings
to price (E/P), cash flow to price (CF/P), and sales to price
(S/P) have received the most attention in empirical studies. The
general conclusion is that these variables, along with BtM, are
all highly correlated with one another, and they produce similar
dispersion in average returns. The variable that has had the most
success in producing dispersion in average returns over an extended
period of time is BtM, but all four of these ranking variables
tend to produce similar portfolios.
Proponents of the three alternatives to BtM typically argue that
these variables are less susceptible to the new economy criticisms
discussed above. They assume that the value added by technology
will show up in earnings, cash flow, and sales before it will
appear in book value. If this is true, then the correlation of
BtM with the other three variables should have declined in recent
years. A variable that is becoming irrelevant should not continue
to track wellwith three variables that continue to be relevant.
Based on the foregoing discussion, we know what to look for in
our analysis of BtM. If BtM is to be abandoned as a way to identify
value stocks, we should observe the correlation between BtM and
its competitors falling in recent years. We should also see BtM
unable to keep up with the other three variables in its ability
to produce return dispersion.
| The
correlation coefficient (ρ) measures
the degree to which the movements of two variables are related.
It indicates how close the residuals are to the regression
line and is calculated as the square root of the coefficient
of determination. |
Empirical Results
Figure 1 shows time series plots of pairwise Spearman rank correlation coefficients for the four variables of
interest.1 Rank correlations are used instead of correlations
of the variables themselves, because it is the firm's rank that
identifies it as value or growth. Variables that produce similar
rankings will produce similar portfolios.
| Figure 1 |
| Spearman Rank Correlations
for Fundamental Variables |
| |
|
| |
| Data courtesy of Compustat. |
Note that all the correlation series tend to move together. There
is a general downward drift from the early 1980s to the early
1990s, and then an upward trend from the mid 1990s forward. In
particular, note that during the period when BtM is supposed to
have become less relevant, its correlations with the other variables
have actually been increasing. There is no evidence of BtM starting
to behave poorly, relative to its competitors.
Figures 2-6 compare the ability of the ranking variables to produce
dispersion in returns. For each variable, dispersion is defined
as the difference in average annual returns between the top and
bottom quintiles of the variable's annual ranking.2
For the thirty-seven-year period ending June 2000 (Figure 2),
BtM produced the highest dispersion in average annual returns,
although sales/price produced return differences nearly as large.
Figures 3-5 divide this thirty-seven-year period into three subperiods
of approximately equal length. During the first subperiod, BtM
produces the highest dispersion. During the two latter periods,
BtM and S/P are about the same.
| Figure 2 |
| Average Annual Return
Differences Between Extreme Quintiles |
| July 1963-June 2000 |
| |
|
| |
| Data courtesy of the
Center for Research in Security Prices, University of
Chicago. |
| Figure 3 |
| Average Annual Return
Differences Between Extreme Quintiles |
| July 1963-June 1975 |
| |
|
| |
| Data courtesy of the
Center for Research in Security Prices, University of
Chicago. |
| Figure 4 |
| Average Annual Return
Differences Between Extreme Quintiles |
| July 1975-June 1988 |
| |
|
| |
| Data courtesy of the
Center for Research in Security Prices, University of
Chicago. |
| Figure 5 |
| Average Annual Return
Differences Between Extreme Quintiles |
| July 1988-June 2000 |
| |
|
| |
| Data courtesy of the
Center for Research in Security Prices, University of
Chicago. |
| Figure 6 |
| Average Annual Return
Differences Between Extreme Quintiles |
| July 1995-June 2000 |
| |
|
| |
| Data courtesy of the
Center for Research in Security Prices, University of
Chicago. |
Both of these variables produce more return dispersion than
E/P and CF/P, even during the period when BtM is supposed
to be less relevant (Figure 5). Unfortunately for investors
in value stocks, the return difference went the wrong way
during the most recent twelve-year period. Some have argued
that the effects of the new economy are most pronounced during
the most recent five years, and this is the period when book
value ceased to be relevant. Figure 6 shows the average annual
return differences for this period. If anything, BtM worked
too well.
Conclusions
There is no evidence of BtM becoming irrelevant for identifying
value stocks. Compared to popular alternatives, BtM is at least
as good at producing dispersion in average returns. This ability
has not declined in recent years. The changes in the composition
of the US economy during the past several years have not eliminated
the strong cross-sectional relation between BtM and realized returns.
There is one advantage of BtM relative to its peers that should
be mentioned. Since book value is a "stock" variable, while earnings,
cash flow and sales are "flow" variables, there is a tendency
for BtM rankings to be somewhat more stable over time than the
rankings based on the other three variables. This reduces portfolio
turnover for strategies that are based on BtM rankings. So, in
addition to providing at least as much return dispersion as its
competitors, BtM may also reduce the number of transactions that
are triggered by stocks moving in and out of the portfolio's buy
range. This can be especially important for taxable investors.
The helpful comments of David G. Booth,
Andrew Cain, Truman A. Clark, Eugene F. Fama, Kenneth R. French,
Mark R. Gochnour, Eduardo A. Repetto, Rex A. Sinquefield, and
Weston J. Wellington are gratefully acknowledged.
This article contains the opinions
of the author and those interviewed by the author but not necessarily
Dimensional Fund Advisors Inc. or DFA Securities Inc., and does
not represent a recommendation of any particular security, strategy
or investment product. The author's opinions are subject to change
without notice. Information contained herein has been obtained
from sources believed to be reliable, but is not guaranteed. This
article is distributed for educational purposes and should not
be considered investment advice or an offer of any security for
sale. Past performance is not indicative of future results and
no representation is made that the stated results will be replicated.
January 2001