Which Free Cash Flow Is Value Relevant?
An Empirical Investigation
Mostafa M. Maksy
Kutztown University of Pennsylvania
Gary T. Chen
University of Illinois at Chicago
This study attempts to identify which definition of free cash flow (FCF) is the most value relevant. The
results would help retail investors make better decisions, and may encourage accounting standards
setters to require companies to use a specific definition of FCF to enhance comparability. Using a sample
of 115,940 observations covering the period 1988 to 2010, the study empirically shows that the FCF that
has the most significant association with stock price changes is the one defined as cash flow from
operations less net cash outflow for investing activities less cash outflow for preferred stock dividends.
INTRODUCTION
While the finance literature may have a somewhat generally accepted definition of free cash flow
(FCF), as the literature review below indicates, the accounting literature has a wide variety of definitions
of FCF. The objective of this study is to empirically identify which accounting definition of FCF has the
highest information content, or the most value relevant. This study aims to provide two contributions to
the literature. First, it attempts to identify a specific definition of FCF that is most relevant to accounting
information users in terms of predicting future changes in stock prices as this would help retail investors
make better decisions. The study focuses the attention on retail investors as opposed to other users of
financial statements, such as institutional investors or bank lenders, because retail investors, on average,
are less sophisticated users of financial statements and may be more easily confused by the different
definitions of FCF used by various companies. Prior research finds that, as of 2005, 57 million U.S.
households owned stock and that retail investors owned 26% of all equities (Harris 2010). Since the major
objective of financial reporting is to provide information that is useful for decision-making, the first
contribution of this study is to enhance the objective of accounting. Second, the results of this study may
have major implications for financial accounting standard setters, such as the Financial Accounting
Standards Board (FASB) and the International Accounting Standards Board (IASB). While the FASB, in
Statement of Financial Accounting Standard (SFAS) No. 95, and the IASB, in International Accounting
Standard (IAS) No. 7, require companies to report Cash Flow from Operations (CFO) on the Statement of
Cash Flows (SCF), they have so far discouraged companies from reporting CFO per share. The FASB
and the IASB are concerned that requiring, or even encouraging, companies to report CFO per share may
be construed by some that they are moving away from accrual-basis accounting toward cash-basis
accounting. Thus, they require companies to report Earnings Per Share (EPS), which .
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Which Free Cash Flow Is Value Relevant An Empirical Inv.docx
1. Which Free Cash Flow Is Value Relevant?
An Empirical Investigation
Mostafa M. Maksy
Kutztown University of Pennsylvania
Gary T. Chen
University of Illinois at Chicago
This study attempts to identify which definition of free cash
flow (FCF) is the most value relevant. The
results would help retail investors make better decisions, and
may encourage accounting standards
setters to require companies to use a specific definition of FCF
to enhance comparability. Using a sample
of 115,940 observations covering the period 1988 to 2010, the
study empirically shows that the FCF that
has the most significant association with stock price changes is
the one defined as cash flow from
operations less net cash outflow for investing activities less
cash outflow for preferred stock dividends.
INTRODUCTION
While the finance literature may have a somewhat generally
2. accepted definition of free cash flow
(FCF), as the literature review below indicates, the accounting
literature has a wide variety of definitions
of FCF. The objective of this study is to empirically identify
which accounting definition of FCF has the
highest information content, or the most value relevant. This
study aims to provide two contributions to
the literature. First, it attempts to identify a specific definition
of FCF that is most relevant to accounting
information users in terms of predicting future changes in stock
prices as this would help retail investors
make better decisions. The study focuses the attention on retail
investors as opposed to other users of
financial statements, such as institutional investors or bank
lenders, because retail investors, on average,
are less sophisticated users of financial statements and may be
more easily confused by the different
definitions of FCF used by various companies. Prior research
finds that, as of 2005, 57 million U.S.
households owned stock and that retail investors owned 26% of
all equities (Harris 2010). Since the major
objective of financial reporting is to provide information that is
useful for decision-making, the first
contribution of this study is to enhance the objective of
accounting. Second, the results of this study may
have major implications for financial accounting standard
setters, such as the Financial Accounting
Standards Board (FASB) and the International Accounting
Standards Board (IASB). While the FASB, in
Statement of Financial Accounting Standard (SFAS) No. 95, and
the IASB, in International Accounting
Standard (IAS) No. 7, require companies to report Cash Flow
from Operations (CFO) on the Statement of
Cash Flows (SCF), they have so far discouraged companies
from reporting CFO per share. The FASB
and the IASB are concerned that requiring, or even encouraging,
3. companies to report CFO per share may
be construed by some that they are moving away from accrual-
basis accounting toward cash-basis
accounting. Thus, they require companies to report Earnings Per
Share (EPS), which is based on accrual
Journal of Accounting and Finance vol. 14(6) 2014 189
accounting, on the face of the Income Statement (I/S) but
discourage companies from reporting CFO per
share on the face of the SCF or anywhere else in the annual
report. The results of this study might
encourage accounting standard setters (e.g., the FASB and
IASB) to require companies to report a
specific definition of FCF (but not FCF per share) in the body
of the SCF or in the supplementary
disclosures at the bottom of the SCF. SFAS No. 95 already
requires companies to disclose cash paid for
income taxes and for interest expense at the bottom of the SCF.
Perhaps, the FASB would require
companies to disclose FCF together with these two items. This
requirement would prohibit companies
from voluntarily disclosing FCF of whatever definition they
prefer. Adhikari and Duru (2006) report that
companies that voluntarily disclose FCF information use a wide
variety of definitions of FCF (apparently,
each company is using the definition that shows the highest
amount of FCF) and these companies, on
average, are less profitable and more leveraged than other firms
in their own industries. Having
companies report FCF that is calculated in the same way would
enhance comparability of accounting
information across firms. Comparability is one of the enhancing
4. qualitative characteristics of useful
financial information as stated in FASB’s SFAC No. 8. The
remaining sections of the paper cover the
literature review, the proposed model, sample, statistical
results, conclusions, and limitations of the study,
respectively. The final section provides some suggestions for
further research.
LITERATURE REVIEW
In the finance literature, there is no wide variation of FCF
definitions. Jensen (1986) is regarded as
the seminal paper that laid out the basic definition of FCF.
Jensen (1986) hypothesizes that FCF increases
agency costs because the managers of companies with high FCF
spend it on acquiring negative net
present value (NPV) projects for the purpose of satisfying their
ego (being managers of large-size
companies) and possibly for increasing their own compensation.
He proves his hypothesis by showing
that, after acquisition, the return on investment of acquirers is
lower than before the acquisition. In light of
that, he defines FCF as “cash flow in excess of that required to
fund all projects that have positive net
present value when discounted at the relevant cost of capital.”
He argues that managers should not acquire
negative NPV projects and should instead distribute the FCF as
dividends to the stockholders. If
managers want to acquire new companies they should do so
using borrowed capital rather the FCF. In this
way, creditors would discipline managers (because they have
the power to force the company into
bankruptcy) and pressure them not to invest in negative NPV
projects. The majority of papers in the
finance literature tend to agree with Jensen’s hypothesis (see,
5. e.g., Mann and Sicherman (1991), Opler
and Titman (1993), Dhumale (1998), Carroll and Griffith
(2001), and Freund, Prezas, and Vasudevan
(2003)). The problem with Jensen’s definition of FCF is that it
is not publicly available and, thus,
unobservable. Companies do not disclose the actual set of
positive NPV projects that they have at any
point in time or even for a given year. Thus, Lang, Stulz, and
Walking (1991) used a measure of Tobin’s
q (the ratio of market to book value of equity) to proxy for this.
The assumption is that if average q is less
than 1, the marginal investment opportunity is negative. Lang et
al. (1991) note that the FCF hypothesis
implies that the acquirer’s return should be negatively related to
FCF in low q firms, and unrelated to FCF
in high q firms. They find that high q bidders have significantly
higher mean returns than low q bidders,
and higher median returns. As predicted by the FCF hypothesis,
their low q, high FCF firms are the worst
performers of any of their sample sub-sets. One notable
exception to Jensen’s FCF hypothesis is Gregory
(2005) who used a dataset of UK take-overs and proxies for
FCF similar to those used by Lang et al.
(1991). Gregory (2005) reported that, contrary to Jensen’s FCF
hypothesis, there is evidence that
acquirers with high FCF perform better than acquirers with low
FCF.
Unlike the finance literature, the accounting literature has many
definitions of FCF. FCF is defined
differently from academic article to academic article, textbook
to textbook, professional article to
professional article, from company to company (and some
companies change their definition of FCF from
time to time), and from all these to the popular press. For
example, Mandalay Resort (formerly known as
6. Circus Circus) was one of the first companies to report FCF
information in its 1988 annual report. Over
the years, it has changed its FCF definition. In 1988, it defined
it as Operating Income (OI), but in 2000, it
190 Journal of Accounting and Finance vol. 14(6) 2014
added back pre-opening expenses, abandonment loss,
depreciation and amortization (D&A), interest,
dividend, and other income, as well as proceeds from disposal
of equipment and other assets. Prior to
1999, Coca-Cola defined FCF as CFO less Cash Flow for
Investing activities (CFI). In 1999, it changed
the definition to CFO less “business investment.” An analysis of
its 1999’s SCF indicates that by
“business investment” Coca-Cola meant “acquisitions and
investments.” That change in definition
increased its FCF in 1999 by almost $2 billion. Mills, Bible,
and Mason (2002) report the following
different definitions of FCF by popular magazines and
investment advisory service organizations:
Money Magazine: OI – Capital Expenditures (CE) – Changes in
Working Capital (W/C).
Forbes Magazine: Net Income (NI) + D&A + or – W/C
adjustments – maintenance CE.
Harry Domasb’s Winning Investing: CFO – Cash paid for
Property, Plant & Equipment (PPE) –
Dividends.
The Motley Fool: NI + D&A – changes in W/C + or – cash
outlay for taxes.
7. Value Line: NI + Depreciation – Dividends – CE – required
debt repayments – any other scheduled
cash outlays.
InvestorLinks: NI + D&A – CE – Dividends.
Advisors Inner Circle Fund: NI + D&A – CE.
Subramanyam & Wild (2009, p. 417) define FCF as CFO less
Capital Expenditures required to
Maintain Productive Capacity (CEMPC) less Total Dividends
(TD). In the same edition, they mention
another definition: FCF = Net Operating Profits After Tax
(NOPAT) – Increase in Net Operating Assets
(NOA). Kieso, Weygandt, and Warfield (2013, p. 234) defines
FCF as CFO – CE – TD.
Searches for “free cash flow definition”, on Google search
engine, produced about 3.46 million
entries for this title, the first of which is “Definitions of Free
Cash Flow on the Web”. Table 1 presents the
15 definitions under this title, together with the web address
associated with each definition. It is
interesting to note that every one of the 15 definitions is
different from the others. Adhikari and Duru
(2006) report that of the 548 firms of their sample that
voluntarily reported FCF information, 283 (51.6%)
defined FCF as CFO – CE, 117 (21.4%) defined FCF as CFO –
CE – Dividends, and 64 (11.7%) defined
FCF as CFO – CFI. The remaining 84 firms (15.3%) defined
FCF in four different other ways.
Penman and Yehuda (2009), using a definition of FCF as CFO
less cash investments, find that a
dollar more of FCF is, on average, associated with
8. approximately a dollar less in the market value of the
business. They also find that this definition of FCF has no
association with changes in the market value of
the equity. Furthermore, controlling for the cash investment
component of FCF, they find that CFO also
reduces the market value of the business dollar-for-dollar and is
unrelated to the changes in market value
of the equity. GuruFocus.com, a website that tracks market
insights and news of investment gurus,
published two research studies (Gurufocus 2013a and 2013b)
concluding that earnings and book values
are significantly correlated with stock prices but FCF, defined
as CFO – CE and acquisitions, is not.
On the other hand, Habib (2011) show that firms with greater
growth opportunities and free cash
flow, defined as the difference between CFO and CE, will have
a higher value price and, additionally,
FCF is positively related to stock return. Similarly, Shahmoradi
(2013), using the same definition of FCF
and a sample of listed companies in Tehran Stock Exchange
between 2002 and 2011, reports a
relationship (significant at the .05 level) between FCF and stock
return of firms.
The above review of the literature, especially the accounting
literature, indicates that FCF is defined
in many different ways. The objective of this study is to
determine which one of these definitions, if any,
is most correlated with (and, thus, is hypothesized to be the best
predictor of) stock price changes. The
following section describes the proposed model to be used to
answer the research question of this study.
PROPOSED MODEL
9. The authors argue that FCF should be defined not only as the
cash flow that is cost free (i.e., that is
generated internally from operating activities) but also “the
cash flow that management is free to do
Journal of Accounting and Finance vol. 14(6) 2014 191
whatever it wants with it as long as management actions may
not lead to the firm getting out of business”.
Actions that may lead to the firm getting out of business include
(a) not maintaining existing operating
capacity (i.e. not replacing worn out PPE) and (b) not paying
the annual installment of mandatorily
redeemable preferred stock or the annual dividend on preferred
stock. Not maintaining the existing
operating capacity will lead to the gradual liquidation of the
firm until it eventually gets out of business.
Not paying the annual installment of mandatorily redeemable
preferred stock or the annual dividend on
preferred stock will not lead to gradual liquidation of the firm
but may lead to future difficulties in
obtaining financing through the equity markets. Creditors and
investors may deal with the company only
if they are paid exuberantly high returns (which would be
prohibitively high cost for the firm) or may stop
dealing with the firm altogether if they determine that their
downside risk is becoming too great compared
to their upside reward. It can also be argued that not paying the
debt that becomes currently due may lead
the firm to bankruptcy because risk-averse creditors may force
the firm to liquidate in order to recuperate
their costs. However, most firms have lines of credit or
10. refinancing programs so the debt that becomes
currently due is paid out from new borrowing that occurs in the
current period. Thus, there is no need to
pay the debt that becomes currently due this period out of
internally generated cash flow from operating
activities in the current period. The annual installment due and
preferred stock dividend on mandatorily
redeemable preferred stock are not available in the Compustat
database. They can only be obtained from a
review of the notes to the financial statements. Considering the
large size of the study sample (about
115,940 observations) that would be cost and time prohibitive.
In addition, many companies do not have
mandatorily redeemable preferred stock and many of those that
do usually do not disclose the information
in the footnotes based on the GAAP loophole that management
believes the information is not material.
To substitute for that information the authors decided to
subtract preferred stock dividends (PSD) from
CFO in the determination of FCF. While regular preferred stock
are not exactly similar to mandatory
redeemable preferred stock (since dividend declaration and
payment on regular preferred stock is
discretionary), the nonpayment of PSD may give the same
signal to creditors and investors as the
nonpayment of mandatorily redeemable preferred stock
dividends. Furthermore, the subtraction of total
PSD from CFO in the determination of FCF may compensate to
some degree for the non-subtraction of
debt that becomes currently due this period.
In light of the above discussion, the authors hypothesize that
FCF should be defined as follows:
FCF = CFO – CEMPC – PSD
11. Where:
FCF = Free Cash Flow
CFO = Cash Flow from Operating activities
CEMPC = Capital Expenditure required to Maintain Productive
Capacity
PSD = Preferred Stock Dividends
The authors decided to estimate CEMPC as the inflation-
adjusted depreciation and amortization
expense (D&A) for the current year. However, because of the
large size of the sample and the variety of
industries included there in, there is no inflation index that can
be used to adjust D&A for all the
companies in the sample. The authors tried to use the general
consumer price index (CPI) for this purpose
but found out that the mean inflation-adjusted D&A for the
sample is actually greater than the mean for
total CE for the current year. That indicates that the general CPI
is not appropriate because its use would
mean that, on average, the companies in the sample not only are
not expanding, but they are not even
maintaining their existing productive capacity. Consequently,
the authors decided to use the current year
unadjusted D&A as a proxy for CEMPC.
However, since the objective of this empirical study is to
determine which FCF is a better predictor of
stock prices, the study model will include other definitions of
FCF besides the definition hypothesized
here. Since there are so many definitions of FCF as illustrated
in the literature review, the authors decided
to include in the statistical analyses only those definitions that
are most common. The following nine
definitions will be included:
12. 192 Journal of Accounting and Finance vol. 14(6) 2014
FCF1 = CFO - CEMPC
FCF2 = CFO - CE
FCF3 = CFO - CFI
FCF4 = CFO - CEMPC - PSD
FCF5 = CFO - CE - PSD
FCF6 = CFO - CFI – PSD
FCF7 = CFO – CEMPC - TD
FCF8 = CFO – CE – TD
FCF9 = CFO – CFI - TD
Where: TD = Total Dividends paid on common and preferred
stock.
It should be noted that FCF4 is our hypothesized definition, and
FCF8 is Standard & Poors’ definition
and is reported directly in its COMPUSTAT database.
Since the change in the stock price per share (∆SPPS) may be
affected by changes in sales per share
(∆SPS), earnings per share (∆EPS), dividend per share (∆DPS),
and book value per share (∆BVPS), the
proposed model includes all these variables so they can be
controlled for to show the effect of change in
FCF per share (∆FCFPS) on ∆SPPS. Also, to control for the size
of the firm, the natural logarithm of total
sales (lnTS) and natural logarithm of total assets (lnTA) will be
included in the model as well. Because
stock price changes may vary from industry to industry, the
authors include in the model dummy
13. variables to control for the industry fixed effects. The authors
use Fama-French industry classifications.
The authors also control for year-end fixed effects. Thus, the
proposed model is as follows:
ΔSPPS = B0 + B1ΔSPS + B2ΔEPS + B3ΔDPS + B4ΔBVPS +
B5ΔFCFPS1-9 + B6lnTS + B7lnTA
+ B 8 IND1-44 + €
(1)
The definitions of the model variables are provided in Appendix
A.
ΔFCFPS = FCFPSt – FCFPS t – 1 where FCFPS1t =
FCF1/weighted average number of common shares
outstanding during year t. This weighted average number of
common shares will be computed by dividing
NI by EPS for year t. The same rule applies for FCFPS2 through
FCFPS9.
THE STUDY SAMPLE
The study sample includes all companies listed in
COMPUSTAT for the 23-year period 1988 to
2010. After eliminating all firm year observations that have
missing variables, the final sample is
composed of 115,940 observations. The study period starts from
1988 because SFAS 95, which requires
companies to disclose CFO, was issued in 1987. Because the
model uses the changes from year to year,
observations from the year 1988 will represent the changes from
1987 to 1988 data. The study period
ends in 2010 because this is the last year with available data on
COMPUSTAT at the time of collection.
The year 2008 was a very abnormal year as total market indexes
14. took a big dive because of the world’s
financial crisis that started during that year. In that year, the
Dow Jones Industrial average lost 31 percent
of its value (but at one point, in November of that year, it was
down 39 percent). The NASDAQ index
lost 39 percent (but in November 2008 it was down 46 percent).
Similarly, the S&P 500 Cash Index lost
36 percent (but in November 2008 it was down 43 percent).
Because of that abnormality, the authors
thought that the change in stock prices during 1988 was affected
by psychological factors much more so
than by financial factors. As a result, the authors ran the model
using a sample of observations ending in
2007. The results were not significantly different from the
results based on the study sample ending in
2010.
Journal of Accounting and Finance vol. 14(6) 2014 193
STATISTICAL RESULTS
Table 2 presents Pearson correlation coefficients for all the
study and control variables. As the table
indicates, all FCF definitions, except for FCF2, FCF5 and
FCF8, have positive associations with changes
in stock price (Δspps) at the 5% significance level. Among the
control variables, Δspps is positively
associated with changes in total sales per share (Δsps), changes
15. in earnings per share (Δeps), changes in
book value per share (Δbvps), natural logarithm of total sales
(lnsale), and natural logarithm of total assets
(lnat) and these associations are statistically significant at the
5% level. Furthermore, Δsps, Δeps, and
Δdps are statistically significantly associated with all
definitions of FCF whereas lnsale and lnat are
statistically significant with some of the FCF specifications
suggesting that these variables would be
appropriate controls. The correlations presented in Table 2
already present some interesting results which
the authors validate in a multi-variate framework shown in the
next table.
Table 3 presents regression coefficients for nine models by
including one FCF definition at a time in
the model. Along with the control variables specified in Model
(1), the authors also include year and
industry fixed effects. Industry categories are based on the
Fama-French (1997) 48-industry classification
scheme. These fixed effects control for heterogeneity at the
industry and year level that may not be
captured by our set of controls (such as the high tech industry
boom of the 1990s or the recent financial
crisis of 2008). As the table shows, all FCF definitions, except
for FCF2, FCF5 and FCF8, have positive
associations with changes in stock price (Δspps) at the 1%
significance level after controlling for other
determinants of changes in stock price. Among the control
variables, Δsps is negatively associated with
changes in stock price and is statistically significant at the 1%
level across all specifications of FCF. Δeps
and Δbvps are both positively associated with Δspps and
statistically significant at the 10% level or better
in all models.
16. Overall, Table 3 confirms the results of the univariate
correlations in Table 2. It is interesting to note
that FCF8, which is Standard & Poor’s definition of free cash
flow, does not have any significant
association with changes in stock prices. All three definitions of
FCF that do not have any significant
associations with changes in stock prices have one thing in
common: they all include capital expenditures
(CE) as a deduction from CFO. That is the case whether CE
alone is deducted (FCF2), CE and preferred
stock dividends (PSD) are deducted (FCF5), or CE and total
dividends (TD) are deducted (FCF8).
Apparently, PSD and TD have very negligible effect, if any, on
stock price changes. This is also borne out
by the fact that when CEMPC (capital expenditure required to
maintain productive capacity) or CFI (cash
flow from investing activities) are deducted from CFO (FCF1
and FCF3 respectively) there are significant
associations with stock price changes. This is the case whether
PSD is also deducted (FCF4 and FCF6) or
TD is also deducted (FCF7 and FCF9). Of the six FCF
definitions that have significant associations with
stock price changes, the three that have CFI as a deduction from
CFO (FCF3, FCF6 and FCF9) have the
most significant associations. Of those latter three, FCF6 (CFO
– CFI –PSD) has a little bit more
significant association with stock price changes than the other
two.
CONCLUSIONS
In light of the statistical results above, the authors conclude
that FCF6 is the most value- relevant
definition of free cash flow. While the authors’ hypothesized
definition of free cash flow (FCF4) was
significantly associated with stock price changes, it was not the
17. one that had the most association. This
could be due to the possibility that the un-inflation-adjusted
depreciation and amortization expense does
not really approximate capital expenditures required to maintain
productive capacity. Another reason
could be that the stock market participants do not make an
effort to determine capital expenditures
required to maintain productive capacity when they are making
their investment decisions. In any event,
the authors recommend that the standards setters, particularly
the FASB and IASB, should require
companies to disclose that FCF in the body of the SCF or at its
bottom together with the cash outflow for
income taxes and interest expense. Short of that, the standard
setters should at least require companies
that voluntarily disclose FCF to use only the FCF definition
identified by this study. Furthermore, if a
194 Journal of Accounting and Finance vol. 14(6) 2014
company departs from this definition, the independent auditor
should consider this departure as a
violation of GAAP.
LIMITATIONS AND SUGGESTIONS FOR FURTHER
RESEARCH
The study is subject to some limitations. The most important
limitation is the possibility that the study
model did not include other variables that may have influenced
stock price changes and is correlated with
our definitions of free cash flow. The combined effect of those
other variables is represented by the error
18. term ∑ in the model. Adding year and industry fixed effects
help mitigate some concerns but not all
regarding unobservable explanatory variables. Another
limitation is that there may be other formulas for
free cash flow which may be more value-relevant than the ones
included in this study. While the authors
tried to develop as comprehensive a list as possible, other
definitions of free cash flow may possibly exist.
One suggestion for further research is to replicate the study
using other variables that could possibly
have more effect on stock prices than the variables included in
the study model. Another suggestion
would be to investigate whether a trading strategy could be
developed for buying (shorting) stock of firms
which have the greatest positive (negative) change in one or
more measures of FCF over the prior year.
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Finance, and Takeovers. American
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Kieso, D., J. Weygandt, and T. Warfield, 2013. Intermediate
Accounting, 15th Ed., New York, NY: John
Wiley & Sons.
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Lang, L. H. P., R. M. Stulz, and R.A. Walking, 1991. A Test of
the Free Cash Flow Hypothesis: The Case
of Bidder Returns. Journal of Financial Economics 29, pp. 315–
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Mann, S. V., and N. W. Sicherman, 1991. The Agency Costs of
Free Cash Flow: Acquisition Activity and
Equity Issues. The Journal of Business 64 (2), pp. 213-227.
Mills, J., L. Bible, and R. Mason, 2002. Rough Waters for
Comparability: Defining Free Cash Flow. The
CPA Journal (January), pp. 37–41.
21. Opler, T.C. and S. Titman, 1993. The Determinants of
Leveraged Buyout Activity: Free Cash Flows vs.
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Subramanyam, K. R. and J. J. Wild, 2009. Financial Statement
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McGraw-Hill/Irwin.
APPENDIX A
VARIABLE DEFINITIONS
Δspps Change in stock price between the end of the next fiscal
year and the current year.
Δfcfps1 Change in the difference between cash flow from
operations (CFO) and
depreciation and amortization expense (DP) over the current
fiscal year.
Δfcfps2 Change in the difference between cash flow from
22. operations (CFO) and capital
expenditures (CE) over the current fiscal year.
Δfcfps3 Change in the difference between cash flow from
operations (CFO) and cash flow
from investing activities (CFI) over the current fiscal year.
Δfcfps4 Change in cash flow from operations (CFO) minus
depreciation and amortization
expense (DP) minus preferred stock dividends (PSD) over the
current fiscal year.
Δfcfps5 Change in cash flow from operations (CFO) minus
capital expenditures (CE)
minus preferred stock dividends (PSD) over the current fiscal
year.
Δfcfps6 Change in cash flow from operations (CFO) minus cash
flow from investing
activities (CFI) minus preferred stock dividends (PSD) over the
current fiscal year.
Δfcfps7 Change in cash flow from operations (CFO) minus
depreciation and amortization
expense (DP) minus total dividends (TD) over the current fiscal
year.
Δfcfps8 Change in cash flow from operations (CFO) minus
capital expenditures (CE)
minus total dividends (TD) over the current fiscal year.
Δfcfps9 Change in cash flow from operations (CFO) minus cash
flow from investing
activities (CFI) minus total dividends (TD) over the current
fiscal year.
23. Δsps changes in total sales per share over the current fiscal
year.
Δeps change in earnings per share over the current fiscal year.
Δdps change in dividends per share over the current fiscal year.
Δbvps change in book value per share over the current fiscal
year.
lnsale natural logarithm of total sales over the current fiscal
year.
Lnat natural logarithm of total assets at the current fiscal year
end.
196 Journal of Accounting and Finance vol. 14(6) 2014
TABLE 1
DEFINITIONS OF FREE CASH FLOW ON THE WEB
1. In corporate finance, free cash flow (FCF) is cash flow
available for distribution among all the
securities holders of an organization. They include equity
holders, debt holders, preferred stock
holders, convertible security holders, and so on.
en.wikipedia.org/wiki/Free_cash_flow
2. Net income plus depreciation and amortization, less changes
in working capital, less capital
expenditure. en.wiktionary.org/wiki/free_cash_flow
3. Adjusted operating cash flow less interest and tax paid, prior
to distributions to shareholders. This
is the cash flow available for payments of dividends and share
buybacks as well as repayments of
capital on loans. www.reed-
lsevier.com/investorcentre/glossary/Pages/Home.aspx
24. 4. Cash flow from operating activities, investments, financial
items and tax and the effect of
restructuring measures on cash flow.
www.investor.rezidor.com/phoenix.zhtml
5. equals EBITDA minus net interest expense, capital
expenditures, change in working capital, taxes
paid, and other cash items (net other expenses less proceeds
from the disposal of obsolete and/or
substantially depleted operating fixed assets that are no longer
in operation).
www.cemex.com/ic/ic_glossary.asp
6. This item on the cash flow statement represents the sum of
cash flows generated by operating and
investing activities. investors.benettongroup.com/phoenix.zhtml
7. How much money a company could pay shareholders out of
profits without expanding, but
without running down its existing operations either.
moneyterms.co.uk/d/
8. Represents a common measure of internally generated cash
and is defined as cash from
operations less fixed asset purchases.
portal.acs.org/portal/PublicWebSite/about/aboutacs/financial/W
PCP_012234
9. Cash available after financing operations and investments,
available to pay down debt.
www.graduates.bnpparibas.com/glossary.html
10. A stock analyst's term with a definition that varies
somewhat depending on the particular analyst.
It usually approximates operating cash flow minus necessary
25. capital expenditures. ...
www.jackadamo.com/glossary.htm
11. The amount of money that a business has at its disposal at
any given time after paying out
operating costs, interest payments on bank loans and bonds,
salaries, research and development
and other fixed costs.
www.premierfoods.co.uk/investors/shareholder-
services/Glossary.cfm
12. Net Operating Profit After Tax minus Year-to-Year change
in Net Capital.
www.intrinsicvalue.com/glossary.htm
13. The increase in cash from one period to the next.
www.knowledgedynamics.com/demos/BreakevenFlash/Glossary
Main.htm
14. Cash flow after operating expenses; a good indicator of
profit levels.
healthcarefinancials.wordpress.com/2008/01/24/equity-based-
securities-terms-and-definitions-
for-physicians/
15. The surplus cash generated from operating activities
recognized in the profit and loss account.
This expresses a company's internal financing power, which can
be used for investments, the
repayment of debt, dividend payments and to meet funding
requirements.
www.deutsche-euroshop.de/berichte/gb2004/glossar_e.php
Journal of Accounting and Finance vol. 14(6) 2014 197
38. V
ariables are defined in A
ppendix A
. N
um
bers in bold indicate significance at the 5%
level.
198 Journal of Accounting and Finance vol. 14(6) 2014
T
A
B
L
E
3
A
SSO
C
IA
T
IO
N
56. ith t-statistics in parentheses below
. V
ariables are
defined in A
ppendix A
. ***, **, and * represent tw
o-tailed p-value significance levels of 0.01, 0.05, and 0.1
respectively.
200 Journal of Accounting and Finance vol. 14(6) 2014
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American Business Press Inc. and its content may not be copied
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users may print, download, or email articles for individual use.
120 International Journal of Business, Accounting, and
Finance , Volume 8, Number 2, Fall 2014
FREE CASH FLOW AND PERFORMANCE
PREDICTABILITY:
AN INDUSTRY ANALYSIS
57. Karen Nunez
Elon University
ABSTRACT
This study investigates the ability of Free Cash Flow to predict
performance in capital
intensive and non-capital intensive industries. This study
provides empirical evidence on Free
Cash Flow versus traditional performance indicators and
indicates whether Free Cash Flow
better summarizes firm performance as reflected in stock
returns/prices. This study makes three
contributions. First, Free Cash Flow, considered by some as a
refinement of cash flow and a
more contemporary measure is used. Second, the predictability
of Free Cash Flow is compared to
traditional measures of performance. Third, this study extends
the research on industry
comparisons by using industry-specific analyses to examine the
predictability of Free Cash Flow.
Results indicate that Free Cash Flow is significantly different
from Operating Cash Flow and Net
Income, but there are mixed results on differences in the
relative explanatory power in capital
intensive and non-capital intensive industries.
Keywords: Cash Flow, Free Cash Flow, Capital intensity,
Industry analysis
58. INTRODUCTION
Little of the existing research has considered Free Cash Flow
for measuring firm
performance. Prior studies have focused on operating cash
flows. However, some analysts claim
that Free Cash Flow better captures capital intensity, and is a
better measure of performance in
capital intensive industries (Tole, McCord, & Pugh, 1992).
Financial reporting as required by SFAC No. 1, is designed to
provide information to
investors, creditors and others, about an enterprise’s financial
performance (Financial
Accounting Standards Board (FASB), 1985). While most
investors focus on Earnings, Value
Line (2011) suggests that other performance measures, like Free
Cash Flow should be considered
because Earnings can be affected by accounting methods and
managerial discretion
(manipulation), whereas, Free Cash Flow is harder to
manipulate. However, there is very little
empirical evidence on the predictability of Free Cash Flow.
The objective of this study is to
examine whether Free Cash Flow or more traditional financial
measures better predict
performance.
Some analysts (Tole, McCord, & Pugh, 1992) claim that Free
Cash Flow better captures
capital intensity, and hence is a better measure of performance
in capital intensive industries.
Operating cash flows have been the focus of the prior research,
therefore, the existing research
59. offers little evidence on the ability of Free Cash Flow to
measure performance. Free Cash Flow
definitions vary widely between companies and between
industries, because U.S. GAAP does
not require firms to disclose Free Cash Flow, and it provides
little guidance on measuring Free
Cash Flow. Some guidance is provided by the International
Accounting Standards Board with
International Accounting Standard (IAS) 7, which recommends
that Free Cash Flow should be
recognized as “cash from operations less the amount of capital
expenditures required to maintain
the firm’s present productive capacity” (International
Accounting Standards Board (IASB),
1977).
International Journal of Business, Accounting, and Finance ,
Volume 8, Number 2, Fall 2014 121
This study makes three important contributions. First, Free
Cash Flow, considered by
some as a refinement of cash flow and a more contemporary
measure is used. Second, the
predictability of Free Cash Flow is compared to the
predictability of operating cash flows and
earnings. Third, this study extends the research on industry
comparisons by using industry-
specific analyses to examine the predictability of Free Cash
Flow in capital intensive versus non-
capital intensive industries.
BACKGROUND AND LITERATURE REVIEW
60. The prior literature on cash flows focuses on operating cash
flows vs. earnings to explain
performance, as proxied by abnormal stock returns (Dechow,
1994; Bowen, Burgstahler &
Daley, 1987; Livnat & Zarowin, 1990). While the term Free
Cash Flow is widely used in the
press and in the business world, U. S. GAAP does not require
firms to disclose Free Cash Flow,
and as a result few firms voluntarily report it. Free Cash Flow
definitions are not uniform and
there is little theoretical or conceptual guidance on how to
calculate Free Cash Flow (Adhikari &
Duru, 2006). Firms reporting Free Cash Flow either use a Cash
flow from operations-based
method, or an income-based method to calculate Free Cash Flow
(Adhikari & Duru, 2006).
Adhikari and Duru (2006) determined that income-based
methods are used to calculate Free
Cash Flow by only a small percentage of firms, 14.2 percent.
Income-based methods typically
start with earnings before interest, taxes, depreciation and
amortization as a proxy for Cash flow
from operating activities, and then make various adjustments.
Additionally, half of the Free Cash Flow reporting firms use a
Cash flow from
operations-based method where Free Cash Flow is calculated
one of two ways: (1) A capital
maintenance perspective-Cash flow from operating activities
less capital expenditures necessary
to maintain the productive capacity of the firm, and (2) An all-
inclusive perspective- Cash flow
from operating activities less capital expenditures, plus
proceeds from fixed asset sales and
61. changes in long-term investments (Adhikari & Duru, 2006).
Over 50 percent of the firms using a
Cash flow from operations-based method rely on the capital
maintenance perspective. The
capital maintenance perspective is consistent with guidance
provided by The International
Accounting Standards Board (IAS 7).
Firms operating in capital-intensive industries require
significant investments in capital to
start and maintain operations. Non-capital intensive industries
generally depend on labor rather
than capital, and are thus not considered capital intensive. The
automobile, chemical,
telecommunications, and refinery industries are often
considered examples of capital-intensive
industries. The household products industry, insurance
companies and other service oriented
industries generally depend on labor rather than capital, and are
often considered examples of
non-capital-intensive industries (Investing Answers, 2014).
Capital investments are necessary to equip firms with essential
tools and high tech
machinery necessary for operations. In most capital-intensive
industries, millions of dollars must
be invested. For example, oil companies must spend millions of
dollars setting up oil rigs, oil
refineries and other infrastructure in order to bring in oil.
Telecommunications companies must
set up a network of phone lines, fiber-optic lines and other
equipment in order to service
customers. Because of significant investments in capital,
companies in capital-intensive
industries are often marked by high levels of depreciation and
fixed assets on the balance sheet.
62. The Electric Utility industry is another example of a capital-
intensive industry. Electric Utility
122 International Journal of Business, Accounting, and
Finance , Volume 8, Number 2, Fall 2014
firms often undertake large-scale construction programs to
update aging infrastructures, add
capacity, and to comply with environmental regulations.
Substantial depreciation expense usually results from the
significant capital expenditures.
The depreciation expense (a non-cash expense) leads to net
operating cash flows that
significantly exceed net income. Given the distortional effect
depreciation expense has on net
operating cash flows, Tole, McCord and Pugh (1992), suggest
that cash flows are a better
measure of performance than net income for a capital-intensive
industry like the Electric Utility
industry. Generally, the Electric Utility Industry reports Free
Cash Flow with a capital
maintenance perspective, and Free Cash Flow is defined as
operating cash flow minus capital
expenditures (Tole, McCord & Pugh, 1992; Bilicic & Connor,
2004). Moreover, Tole, McCord
& Pugh (1992), recommend Free Cash Flow to equity investors
as a better measure of
performance than net income.
Seminal cash flow studies focus on operating cash flows versus
earnings, to explain
performance as measured by abnormal stock returns (Dechow,
1994; Bowen, Burgstahler &
63. Daley, 1987; Livnat & Zarowin, 1990). These studies generally
demonstrate that cash flows and
earnings both provide incremental information, but do not
directly address the relative
superiority of one measure over the other. In a more current
study, Burgstahler, Jiambalvo &
Pyo (1998) find that cash flow has more predictive ability than
earnings, but Finger (1994) found
mixed results. Further, Barth, Cram and Nelson (2001) find cash
flows have more predictive
ability than earnings. None of the earlier studies focus on Free
Cash Flow or capital intensity.
One possible explanation for the mixed results of prior research
is the failure to focus on a more
relevant measure like Free Cash Flow, or a failure to focus on
industry-specific samples. Nunez
(2013) considers Free Cash Flow and the Electric Utility
Industry. Nunez (2013) found that Free
Cash Flow is significantly different from Operating Cash Flow
and Net Income, but could not
detect significant differences in the relative explanatory power
of Free Cash Flow, Operating
Cash Flow and Net Income. This study attempts to build on
Nunez (2013) by considering the
predictability of Free Cash Flow in both capital and non-capital
intensive industries.
HYPOTHESES AND METHODOLOGY
This study examines whether Free Cash Flow is a better
measure of performance than net
income and operating cash flows, for capital intensive and non-
capital intensive industries. Tole,
McCord & Pugh (1992) suggests that for a capital intensive
64. industry like the Electric Utility
Industry, cash flows are a better measure of performance than
net income, and Free Cash Flow is
better than operating cash flow. Therefore, the authors of this
study expect Free Cash Flow to
have greater performance predictability than Operating Cash
Flow and Net Income for firms in
capital intensive industries. Further, we expect Free Cash Flow
to have less performance
predictability than Operating Cash Flow and Net Income for
non-capital intensive industries.
The first hypothesis considers the relation between capital
intensity and free cash flow.
Building on Tole, McCord and Pugh (1992) the authors expect
capital intensive firms to have
lower levels of Free Cash Flow, and non-capital intensive firms
to have higher levels of Free
Cash Flow. The hypothesis stated in the null:
H1: The association between Free Cash Flow and capital
intensity does not differ
between capital intensive firms and non-capital intensive firms.
International Journal of Business, Accounting, and Finance ,
Volume 8, Number 2, Fall 2014 123
As suggested by Tole, McCord & Pugh (1992) the authors of
this study expect Free Cash
Flow to be a better measure of performance than operating cash
flows and net income, for capital
65. intensive firms, and operating cash flows and net income to be
better measures of performance
than Free Cash Flow for non-capital intensive firms. The
second hypothesis, stated in the null:
H2: The predictability of Free Cash Flow does not differ
between capital intensive
firms and non-capital intensive firms.
The authors used an independent measure of capital intensity,
as defined in prior
literature. The Fixed Asset Ratio (FAR) is plant, property and
equipment divided by noncash
total assets, based on Kang and Zhau (2010). Kang and Zhau
(2010) defined capital intensive
industries as having a mean industry fixed asset ratio of 0.5 or
greater. Based on the approach
used by Kang and Zhau (2010), the authors utilized two groups:
Group A-capital intensive
industries where the mean industry FAR is 0.5 or greater, and
Group B-non-capital intensive
industries where the mean industry FAR is less than 0.5. Also,
we used Fama and French (1997)
to guide our industry classifications using SIC/NAICS codes.
To test Hypothesis 1 and examine the relationship between
capital intensity and Free
Cash Flow observed by scatterplots. The direction, magnitude
and shape of the relationships is
conveyed in the plots. The measurement of the relationship
between capital intensity and Free
Cash Flow is based on the following variables,
Y = f(X) (1)
66. Where (Compustat descriptions are in parentheses), Y= Free
Cash Flow, calculated as Operating
Activities Net Cash Flow minus Capital Expenditures (OANCF-
CAPX), and X = Fixed Asset
Ratio, calculated as plant, property and equipment divided by
noncash total assets, (PPENT/(AT-
CH).
The estimated correlation coefficients used to measure the
direction and strength of the
association, and to draw more definitive inferences. Commonly
used measures of association
include the Pearson and Spearman correlation coefficients,
Goodman and Kruskal’s gamma (γ)
and Kendall’s tau (τ). Pearson’s correlation coefficient requires
normally distributed variables or
it will produce unreliable results, and the Spearman rank
correlation requires a monotonic
underlying relationship between variables (Goktas & Isci,
2011). Goodman and Kruskal’s
gamma (γ), is a non-parametric measure of rank correlation that
does not rely on any
assumptions on the distributions of X or Y, or the distribution
of (X,Y), and it does not consider
tied pairs (Blumberg, Cooper, & Schindler, 2011). A tied pair
occurs when observations have
the same value on the X variable, on the Y variable or on both.
Kendall’s tau (τ) is recognized as
a refinement of gamma (γ) that considers tied pairs (Blumberg,
Cooper, & Schindler, 2011).
The Kendall’s tau b (τb) used to measure the direction and
strength of the association between
capital intensity and Free Cash Flow. Kendall’s tau b (τb) is a
non-parametric measure of rank
correlation that does not rely on any assumptions on the
distributions of X or Y, or the
67. distribution of (X,Y), it does consider tied pairs and is suitable
for data tables of any size
(Blumberg, Cooper, & Schindler, 2011).
The following models used to test Hypothesis 2 and examine the
predictability of Free
Cash Flow:
Rt = a0 + a1 FCFt + et, (2a)
124 International Journal of Business, Accounting, and
Finance , Volume 8, Number 2, Fall 2014
Rt = a0 + a1 OCFt + et, (2b)
Rt = a0 + a1 NIt + et, (2c)
Where (Compustat descriptions are in parentheses), R is raw
annual returns; FCF is Free
Cash Flow, calculated as Operating Activities Net Cash Flow
minus Capital Expenditures
(OANCF-CAPX), OCF is Operating Cash Flow, Operating
Activities Net Cash Flow (OANCF);
NI is net income after extraordinary items and discontinued
operations (NI). All variables except
R, are deflated by market value of common equity at the
previous fiscal year-end. Models 2a, b
and c are based on Dhaliwal, Subramanyam, and Trezevant
(1999). Kim & Kross (2005) used a
similar model to test the explanatory power of earnings and
cash flows.
To draw more definitive inferences, and to minimize the
potential econometric and
theoretical problems with returns models, the authors used price
68. models (Kothari & Zimmerman,
1995).
Pt = a0 + a1 FCFt + et, (3a)
Pt = a0 + a1 OCFt + et, (3b)
Pt = a0 + a1 NIt + et, (3c)
Where, P is market value of common equity (PRCC) at fiscal
year-end. All variables are
deflated by the number of shares of common stock outstanding
(CSHO) at fiscal year-end,
adjusted for stock splits and stock dividends (AJEX).
METHODOLOGY
Methods
Some industries had a small number of firms and time periods
available for study,
therefore the observations were pooled across time to increase
the number of observations and
the power of the regression models. Pooling the data can
introduce cross-sectional and time
series dependencies in the sample data, which could understate
the standard errors of the
regression coefficients and inflate the t-statistics. To mitigate
this, Huber-White (1967) standard
errors are used in the regression models for the construction of
the t-statistics.
The Huber-White robust standard error estimator produces
correct standard errors even if
69. the observations are correlated and heteroscedastic (Huber
1967; White 1980). Maximum-
likelihood estimates are generally preferable to ANOVA and
OLS estimates so the full
maximum likelihood procedure for estimating the parameters of
the regressions is used, (see
Searle, 1988; Harville, 1988; Searle, Casella and McCulloch,
1992). Firm-specific and time-
specific intercepts are also used in the models.
Sample and Data Collection
The Compustat Database was used to identify the initial sample
of 131,861 observations
from 2000-2012. Firms with insufficient data to calculate the
Fixed Asset Ratio (FAR), Free
Cash Flow, Operating Cash Flow, Net Income, and market value
were deleted, resulting in
72,246 observations. Observations for which the test variable
falls in the top and bottom
percentile of the test-variable distribution were eliminated from
the sample. The resulting
International Journal of Business, Accounting, and Finance ,
Volume 8, Number 2, Fall 2014 125
sample is composed of 64,566 observations, representing 11,036
firms and 48 industries. Table
1 provides a list of industries used in this study.
70. Table 1
List of Industries
Abbreviation INDUSTRY # of firms # of Observations
Aero Aircraft 37 297
Agric Agriculture 41 223
Autos Autos and Trucks 126 818
Banks Banking 972 5,162
Beer Alcoholic Beverages 31 190
BldMt Construction Materials 161 1,060
Books Printing and Publishing 59 352
Boxes Shipping Containers 21 119
BusSv Business Services 1,423 7,749
Chems Chemicals 187 1,199
Chips Electronic Equipment 570 3,845
Clths Apparel 100 683
Cnstr Construction 94 548
Coal Coal 41 195
Comps Computers 394 2,289
Drugs Pharmaceutical Prod 736 4,501
ElcEq Electrical Equipment 142 1,037
Energy Petro and Nat Gas 762 3,815
FabPr Fabricated Products 28 163
Fin Trading 316 1,462
Food Food Products 134 937
Fun Entertainment 144 856
Gold Precious Metals 308 1,484
Guns Defense 15 119
Hlth Healthcare 141 915
Hshld Consumer Goods 121 749
Insur Insurance 178 803
LabEq Meas and Contrl Equip 168 1,343
Mach Machinery 268 1,837
Meals Rest, Hotel, Motel 200 1,228
MedEq Medical Equipment 337 2,127
Mines Nonmetallic Mining 442 2,111
71. Misc Miscellaneous 155 662
Paper Business Supplies 89 595
PerSv Personal Services 102 629
RlEst Real Estate 122 626
Rtail Retail 358 2,434
Rubbr Rubber and Plastic Products 78 503
Ships Shipbuilding, Rail Eq 13 102
Smoke Tobacco Products 5 43
Soda Candy and Soda 24 157
Steel Steel Works Etc 126 731
Telem Telecommunications 308 1,686
Toys Recreational Products 75 415
Trans Transportation 268 1,641
Txtls Textiles 26 170
Util Utilities 273 1,933
Whlsl Wholesale 317 2,023
Total 11,036 64,566
126 International Journal of Business, Accounting, and
Finance , Volume 8, Number 2, Fall 2014
Descriptive Statistics
Table 2 reports descriptive statistics for variables used to
estimate the models, and for
key firm size variables used to gain additional insight about
firm characteristics. Descriptive
statistics
are presented for the entire sample, and to gain additional
insight, the sample is further classified
72. based on capital intensity. Columns 1 and 2 (all observations)
of Table 2 report means and
standard deviations for the total sample of 64,566 observations;
columns 3 and 4 (capital
intensive firms) report means and standard deviations for
15,287 observations, 24% of the total
observations, representing firms that have a mean FAR of 0.5 or
greater; and the last two
columns (non-capital intensive firms) report means and standard
deviations for 49,279
observations, 76% of the total observations, representing firms
that have a mean FAR of less
than 0.5.
Table 2
Descriptive Statistics
All Observations Capital Intensive Firms Non-Capital Intensive
Firms
Mean Std Dev Mean Std Dev Mean Std Dev
FCF 51.77 204.66 22.52 190.64 60.84
207.99
FAR 0.30 0.29 0.75 0.14
0.16 0.14
CAPX 61.59 212.78 146.41 359.75 35.26
127.39
OCF 113.20 342.54 168.64 459.80 96.00
294.79
NI 50.79 205.07 61.37 234.15 47.51
195.06
R 0.20 1.17 0.25 1.24 0.19
1.14
ROE (0.26) 99.20 (1.83) 189.69 0.22
41.61
73. LTD 326.63 1,177.94 546.30 1,595.65 258.37
1,003.93
TOTASS 1,508.79 5,193.28 1,765.40 4,819.36 1,429.19
5,301.44
PPE 431.73 1,780.40 1,181.53 3,255.18 199.14
798.58
TOTSALE 1,067.84 3,809.89 1,165.26 4,198.20
1,037.62 3,680.64
MVE 1,200.71 3,735.78 1,320.43 3,708.36 1,163.58
3,743.50
BVE 0.30 0.29 0.75 0.14 0.16
0.14
No. of Obs 64,566 15,287 49,279
Where*,
FCF= Free Cash Flow=Operating Cash Flow minus Capital
Expenditures (OANCF-CAPX)
FAR= Fixed Asset Ratio=Plant, Property & Equip/Noncash
Total Assets ((PPENT/(AT-CH
CAPX= Capital Expenditures (CAPX)
OCF= Operating Cash Flow=Operating Activities Net Cash
Flow (OANCF)
NI=Net Income after extraordinary items and discontinued
operations (NI)
R= Raw annual percentage returns
ROE=Return on equity, NI (NI) divided by Book Value of
Equity (CEQ)
LTD=Long term debt (DLTT)
TOTASS=Total assets (AT)
PPE=Plant, Property and Equipment (PPENT)
TOTSALE=Total sales (SALE)
MVE=Market value of equity= price times common shares
outstanding (PRCC x CSHO)
BVE=Book value of equity (CEQ)
74. *Compustat item description in parentheses.
International Journal of Business, Accounting, and Finance ,
Volume 8, Number 2, Fall 2014 127
The average market value (MVE) for the entire sample is
$1,200.71 million. Capital
intensive firms are considerably larger with an average market
value of $1,320.43, 13% larger
than the average market value of non-capital intensive firms,
$1,163.58. The other size-based
characteristic, book value of equity (BVE), exhibits the same
pattern. The earnings variable (Net
Income) in Table 2 indicates capital intensive firms are more
profitable, with an average Net
Income of $61.37 million compared to $47.51 million for non-
capital intensive firms. Return on
equity (ROE) is included because it is a more relative measure
of profitability and it indicates
that capital intensive firms are not relatively more profitable as
they have an ROE of -183%
compared to an ROE of 22% for non-capital intensive firms.
Capital intensive firms are characterized by having significant
capital investment leading
to substantial depreciation expense, hence Operating cash flow
(OCF) is 275% of Net income
(significantly different at the 1% level), but only 202% of Net
Income for non-capital intensive
firms (significantly different at the 5% level). Furthermore,
Free Cash Flow is only 37% of Net
income for capital intensive firms (significantly different at the
75. 1% level) but 81% of Net income
for non-capital intensive firms (significantly different at the 5%
level). These results suggest that
mean Operating cash flow is significantly different from mean
Net income and mean Free Cash
flow is significantly different from mean Operating Cash flow,
for both capital intensive and
non-capital intensive firms.
EMPIRICAL TESTS
To test Hypothesis 1 the relationship between Free Cash Flow
and capital intensity is
examined. The authors expected capital intensive firms to have
lower levels of Free Cash Flow,
and non-capital intensive firms to have higher levels of Free
Cash Flow. Consistent with
expectations, capital intensive firms have a mean Fixed Asset
Ratio (FAR) of 0.75, which is
significantly different (at the 1% level) from the mean Fixed
Asset Ratio (FAR) of 0.16 for non-
capital intensive firms. Further, capital intensive firms have a
mean Free Cash Flow of $22.52,
which is significantly different (at the 1% level) from the mean
Free Cash Flow of $60.84 for
non-capital intensive firms. These results lend some support to
Hypothesis 1. In our next step, we
prepared scatter plots of the relationship between Free Cash
Flow and Capital Intensity. The
scatter plots are reported in Figure 1. Panel A of Figure 1
demonstrates the relationship of Free
Cash Flow and Capital Intensity for capital intensive firms, and
Panel B demonstrates the
relationship of Free Cash Flow and Capital Intensity for non-
76. capital Intensive firms. There is
some indication from the scatter plots that capital intensive
firms have lower levels of Free Cash
Flow, and non-capital intensive firms have higher levels of Free
Cash Flow.
Table 3 presents correlations between Free Cash Flow and
Capital Intensity for capital
and non-capital intensity firms.. Pearson and Spearman
correlation coefficients, as well as the
non-parametric measure of rank correlation, Kendall’s tau were
utilized. The correlation
coefficients for capital intensive firms are all significant at the
1% level. Only the Pearson
correlation coefficient for non-capital intensive firms is
significant (at the 1% level). Overall,
evidence from the descriptive statistics, the scatter plots and the
correlation coefficients supports
Hypothesis 1, and indicate that capital intensive firms have
lower levels of Free Cash Flow, and
non-capital intensive firms have higher levels of Free Cash
Flow.
To test Hypothesis 2 and to examine whether Free Cash Flow is
a better measure of
performance than Operating Cash Flow and Net Income, we
estimate models (2a) – (2c).
Summary model statistics are reported in Table 4. A coefficient
significantly different from zero
128 International Journal of Business, Accounting, and
Finance , Volume 8, Number 2, Fall 2014
on Free Cash Flow, Operating Cash Flow and Net Income
77. indicates the variable provides
significant explanatory power. Free Cash Flow, Operating Cash
Flow and Net Income are not
Figure 1
Scatter Plot of Free Cash Flow and FAR (Capital Intensity):
Panel A: Capital Intensive Firms Panel B: Non-Capital
Intensive Firms
International Journal of Business, Accounting, and Finance ,
Volume 8, Number 2, Fall 2014 129
Table 3
Correlations Between Free Cash Flow and Capital Intensity
CAPITAL INTENSIVE FIRMS
Capital Intensity
(FAR)
(Pearson)
Capital Intensity
(FAR)
(Spearman)
Capital Intensity
(FAR) (Kendall's
78. tau b)
Free Cash Flow (FCF) -0.144 -0.022 -0.147
(0.000) (0.000) (0.000)
NON-CAPITAL INTENSIVE FIRMS
Capital Intensity
(FAR)
(Pearson)
Capital Intensity
(FAR)
(Spearman)
Capital Intensity
(FAR) (Kendall's
tau b)
Free Cash Flow (FCF) -0.027 -0.001 -0.002
(0.000)
P-values are in parentheses.
significant for capital intensive firms, however, Operating Cash
Flow and Net Income are both
significant at the 1% level for non-capital intensive firms. This
result provides some support for
hypothesis 2, in that we expect Operating Cash Flow and Net
Income to be better measures of
performance for non-capital intensive firms, and these variables
should have more explanatory
power than Free Cash Flow. The maximum likelihood procedure
79. does not produce a formal R2
statistic, therefore, the pseudo R2 (Cox & Snell, 1981) measures
are reported. The three capital
intensive models and the three non-capital intensive models
have pseudo R2 measures of nearly
8%, and all are significant at the 1% level using the null model
likelihood ratio test (not reported
in Table 4).
To estimate price models (3a) – (3c) as suggested in Kothari &
Zimmerman (1995), to
minimize the potential econometric and theoretical problems
associated with the returns models
used in (2a) – (2c). Table 5 reports summary model statistics
for price models (3a) – (3c). Free
Cash Flow is significant for capital intensive firms, and Free
Cash Flow and Operating Cash
Flow are both significant for non-capital intensive firms at the
1% level. These results provide
further support for hypothesis 2. Also, consistent with the
returns models, the three capital
intensive models and the three non-capital intensive models
have pseudo R2 measures of nearly
8%, and all are significant at the 1% level using the null model
likelihood ratio test (not reported
in Table 5).
The likelihood ratio tests and pseudo-R2 measures are of
limited use in making
comparisons across measures, and cannot be used to compare
non-nested models (Burnham &
Anderson, 2002). The authors used an approach suggested by
Biddle, Seow & Siegel (1995) to
compare the three measures of performance. Their approach is
based on the Wald statistic. The
Wald Statistic can be used to test equality of coefficients across
80. regression equations. It will be
used to test the null hypothesis that the parameter estimates
from the Free Cash Flow Model (2a)
130 International Journal of Business, Accounting, and
Finance , Volum
e 8, N
um
ber 2, Fall 2014
T
able 4
R
esults of the estim
ation of returns m
odels that test w
hether Free C
ash Flow
is a better m
easure of perform
ance than
O
perating C
ash Flow
and N
81. et Incom
e
Panel A
: C
apital Intensive Firm
s Panel B
: N
on-C
apital Intensive Firm
s
*S
ignificant at the 10%
level.
** S
ignificant at the 5%
level.
*** S
ignificant at the 1%
level.
M
O
87. t + e
t ,
(2c)
R
t = a
0 + a
1 N
It + et ,
W
here,
R=
Raw annual percentage returns
FC
F=
Free C
ash Flow
O
CF=O
perating Cash Flow
88. N
I
N
t I
N
otes: The sam
ple consists of all 2000-2012 observations that have C
om
pustat data needed to calculate the Fixed A
sset R
atio, Free C
ash Flow
, O
perating C
ash Flow
, N
et Incom
e, M
arket value of C
om
m
on Equity, and R
89. eturns. O
bservations for
w
hich the test variable falls in the top and bottom
percentile of the test-variable distribution are elim
inated from
the sam
ple. A
ll variables except R
are deflated by m
arket value of com
m
on equity at the previous fiscal year-end.
International Journal of Business, Accounting, and Finance ,
Volum
e 8, N
um
ber 2, Fall 2014 131
T
able 5
R
esults of the estim
90. ation of price m
odels that test w
hether Free C
ash Flow
is a better m
easure of perform
ance than O
perating
C
ash Flow
and N
et Incom
e
Panel A
: C
apital Intensive Firm
s
Panel B
: N
on-C
apital Intensive Firm
s
91. *S
ignificant at the 10%
level.
** S
ignificant at the 5%
level.
*** S
ignificant at the 1%
level.
M
O
D
EL
a
IN
T
b
FC
F
b
O
C
F
96. t = a
0 + a
1 FCF
t + e
t ,
(3b)
P
t = a
0 + a
1 O
CF
t + e
t ,
(3c)
P
t = a
0 + a
1 N
It + et ,
W
97. here,
P=
M
arket value of com
m
on equity at fiscal year end, Price (PRC
C
)
FC
F=
Free C
ash Flow
O
CF=O
perating Cash Flow
N
I
N
t I
N
otes: The sam
98. ple consists of all 2000-2012 observations that have C
om
pustat data needed to calculate the Fixed A
sset R
atio, Free C
ash Flow
, O
perating C
ash Flow
, N
et Incom
e, M
arket value of C
om
m
on Equity, and R
eturns. O
bservations for
w
hich the test variable falls in the top and bottom
percentile of the test-variable distribution are elim
inated from
the sam
ple. A
99. ll variables except R
are deflated by m
arket value of com
m
on equity at the previous fiscal year-end.
132 International Journal of Business, Accounting, and
Finance , Volume 8, Number 2, Fall 2014
are equal to the Operating Cash Flow Model (2b), or equal to
the Net Income Model (2c).
Vectors of estimated coefficients and the variance-covariance
matrices are used to form the test
statistic. A necessary condition for this application of the Wald
test is that the regression
equations being compared must have the same size coefficient
vectors, and the same size
variance-covariance matrices. The Wald statistic used in this
study is based on a comparison of
model (2a) to model (2b), and a comparison of model (2a) to
model (2c) for capital intensive and
non-capital intensive firms. The statistics were also used to
compare model (3a) to model (3b),
and a comparison of model (3a) to model (3c) for capital
intensive and non-capital intensive
firms. For testing the null hypothesis, the Wald statistic (Liao,
2004) is
W= (β̂g - β̂g*)΄ [var (β̂g) + var (β̂g*)]ˉ (β̂g - β̂g*) ,
100. Where β is the coefficient vector containing all parameter
estimates for the regression equation,
var (·) is the estimated variance-covariance matrix for the
coefficients, the operator on the first
term (·)΄ is the transpose, and the operator on the middle term
[·]ˉ is the generalized inverse. The
probability of this equality approaches one asymptotically. The
degrees of freedom for the test
equals the number of rows in the first or the third matrix. The
Wald statistic is chi-square (χ2)
distributed for large samples. The Wald statistics are reported
in Table 6. Panel A reports the
Wald statistics for capital intensive firms, and Panel B reports
the Wald statistics for non-capital
intensive firms. None of the statistics in Panel A are
statistically significant at conventional
levels, suggesting that there is no relative difference between
the ability of Free Cash Flow and
Operating Cash Flow, or between Free Cash Flow and Net
Income to predict performance as
reflected in stock returns/prices, for capital intensive firms.
Also, none of the statistics in Panel
B are statistically significant at conventional levels, suggesting
that there is no relative difference
between the ability of Free Cash Flow and Operating Cash
Flow, or between Free Cash Flow and
Net Income to predict performance as reflected in stock
returns/prices, for non-capital intensive
firms.
Table 6
Summary Statistics for the Wald Test:
A test of the equality of coefficients across regression equations
101. Panel A: CAPITAL INTENSIVE FIRMS
Model 2A vs
2B
Model 2A vs
2C
Model 3A vs
3B
Model 3A vs 3C
Wald Statistic 0.8731 0.3461 0.0602 0.2621
(>0.100) (>0.100) (>0.100) (>0.100)
Panel B: NON-CAPITAL INTENSIVE FIRMS
Model 2A vs
2B
Model 2A vs
2C
Model 3A vs
3B
Model 3A vs 3C
Wald Statistic 0.0003 11.234 2.324 0.8516
(>0.100) (>0.100) (>0.100) (>0.100)
102. P-values are in parentheses.
International Journal of Business, Accounting, and Finance ,
Volume 8, Number 2, Fall 2014 133
LIMITATIONS OF THIS STUDY
Because this study only focuses on capital intensive firms and
non-capital intensive
firms, it does not capture industry differences and the effects on
capital intensity. As a result, the
results may not be applicable to specific industries because of
differences in levels of capital
intensity.
RECOMMENDATIONS FOR FUTURE RESEARCH
Future research in this area should focus on obtaining a better
understanding of industry
differences and the effects on capital intensity. Additional
research is needed on the effect of
capital intensity on Free Cash Flow, and the role that capital
intensity plays in the predictability
of Free Cash Flow. More precise and convincing results might
be obtainable with industry
groups formed based on levels of capital intensity.
103. CONCLUSIONS
Overall, the results presented in this paper are mixed. Simple t-
tests demonstrate that
mean Free Cash Flow is statistically different from mean
Operating Cash Flow, and mean Net
Income for both capital intensive and non-capital intensive
firms. Evidence from the descriptive
statistics, the scatter plots and the correlation coefficients
indicate that capital intensive firms
have lower levels of Free Cash Flow, and non-capital intensive
firms have higher levels of Free
Cash Flow. Our results also indicate some support for
Operating Cash Flow and Net Income as
better measures of performance for non-capital intensive firms.
Also, there is some indication
that Free Cash Flow is a better measure of performance for
capital intensive firms.
This study makes three important contributions. First, Free
Cash Flow, considered by
some as a refinement of cash flow and a more contemporary
measure is used. Second, the
predictability of Free Cash Flow is compared to the
predictability of operating cash flows and
earnings. Third, this study has extended the research on
industry comparisons by using industry-
specific analyses to examine the predictability of Free Cash
Flow in capital intensive versus non-
capital intensive industries.
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109. About the Author:
Karen Nunez is an assistant professor of accounting at Elon
University in Elon, North Carolina. Dr. Nunez received
her Ph.D. in Accounting and Economics from The University of
Oklahoma. She also has an M.B.A. in Finance and
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