In: Statistics and Probability
Explain why investment is usually more volatile then consumption across the business cycle using and interpreting the coefficient of variation
IT IS A well-known fact that inventory disinvestment can account
for
much of the movement in output during recessions. Almost one-half
of
the shortfall in output, averaged over the five interwar business
cycles,
can be accounted for by inventory disinvestment, and the
proportion
has been even larger for postwar recessions.' A lesser-known fact
is that
corporate profits, and therefore internal-finance flows, are also
ex-
tremely procyclical and tend to lead the cycle. Wesley Mitchell
finds
that the percentage change in corporate income over the business
cycle
is several times greater than that in any other macroeconomic
series in
his study.2 Robert Lucas lists the high conformity and large
variation of
corporate income as one of the seven main qualitative features of
the
business cycle.3 The volatility of internal finance, which is also
com-
We thank Lee Benham, Robert Chirinko, Mark Gertler, Simon
Gilchrist, Edward
Greenberg, Charles Himmelberg, Anil Kashyap, Louis Maccini, Dorothy
Petersen, and
Toni Whited for helpful comments, and Andrew Meyer, Bruce Rayton,
and James Mom-
tazee for excellent research assistance. Robert Parks and Daniel
Levy provided technical
assistance. We acknowledge financial support from the Jerome Levy
Economics Institute,
the University Research Committee of Emory University, and
Washington University.
1. See Abramovitz (1950, p. 5) and Blinder and Maccini
(199la).
2. Mitchell (1951, p. 286). These series include the rate of
bankruptcy, employment,
and pig iron production, among others.
3. Lucas (1977, p. 9).
This paper links these two stylized facts by examining whether
fluc-
tuations of internal finance are an important cause of changes in
inven-
tory investment. Our exploration is motivated by a rapidly growing
body
of theoretical research arguing that changes in either internal
finance or
net worth will affect firm behavior if the markets for external
finance are
imperfect. Although most previous empirical work in this area has
fo-
cused on fixed investment, the dramatic cyclical fluctuations in
both in-
ventory investment and internal finance suggest that efforts to
examine
their possible link are overdue.
When capital markets are imperfect, fluctuations of internal
finance
should affect all components of investment. We argue, however, that
in-
ventories should be especially sensitive to such imperfections. In
re-
sponse to a negative shock to internal finance, financially
constrained
firms will reduce their accumulation of all assets, with the effect
on each
asset determined by its relative liquidation and adjustment costs.
Be-
cause inventory investment has low adjustment costs, its share of a
de-
cline in total investment caused by the contraction of internal
finance
will be disproportionately large relative to fixed investment or
other uses
of funds (research and development, for example).
While the modern literature on inventories typically excludes
finan-
cial effects, the connection between internal finance and inventory
in-
vestment may help resolve an empirical puzzle about inventory
behav-
ior. Numerous studies have found that production varies more
than
sales and that inventory investment is positively correlated with
con-
temporaneous sales shocks.4 Both results are inconsistent with
the
production-smoothing model that predicts inventories will buffer
pro-
duction from sales shocks. These findings may arise from an
omitted-
variable bias. The presence of financing constraints induces a
positive
correlation between inventory investment and internal-finance
flows.
When internal-finance variables are excluded from inventory
invest-
ment regressions, the coefficient on contemporaneous sales may
reflect
the impact of financing constraints, overwhelming any negative
correla-
tion caused by buffer-stock effects alone.
We test for a linkage between inventory investment and internal
fi
nance by estimating a standard inventory investment model
augmented
by measures of internal finance. The data are taken from
Compustat's
quarterly "full coverage" files for manufacturing firms. The sample
pe-
riod from 1981 to 1992 contains pronounced swings in inventory
invest-
ment as well as large fluctuations in internal finance, with
troughs in
1982, 1986, and 1991. To our knowledge, our study is the first work
on
the microfoundations of cyclical firm behavior to employ a data set
with
three key features: (i) firm-level panel data, (ii) high-frequency
data
(quarterly), and (iii) data covering a major fraction of the
aggregate econ-
omy. The structure of these data provides several important
methodo-
logical advantages.
First, with firm-level panel data, we include both fixed firm
effects
and highly disaggregated industry time dummies. The fixed firm
effects
control for the many possible time-invariant determinants of
inventory
investment that differ across firms. The disaggregated time
dummies
control for a wide range of alternative hypotheses about
inventory
movements that would be observationally equivalent in tests based
on
aggregate time-series data.5 For example, an alternative
explanation to
our hypothesis is that cost or technological shocks at the
aggregate or
industry level drive both internal finance and inventory
investment. By
including industry time dummies to control for these shocks,
however,
the influence of cost shocks can be disentangled from other
variables.
Indeed, because cost shocks at industry or higher levels of
aggregation
are often invoked to explain cyclical phenomena, we believe the
empiri-
cal approach pursued here is applicable to a wide class of
macroeco-
nomic issues.
A second feature of our method, critical to our study and new in
the
literature, is the use of quiacrter-ly firm data. This innovation
is especially
important for a high-frequency phenomenon such as inventory
invest-
ment; one could miss important cyclical variations in annual data.
Per-
haps more important, quarterly data increase the number of
time-series
observations. We can therefore run regressions, in the time
dimension
of the panel, for very short calendar periods (such as two or three
years).
The cross-sectional breadth of the data in combination with its
high fre-
quency allows standard panel data techniques to be used to examine
in
Most of our regressions include time dummies for each four-digit
SIC (standard in-
dustry classification) industry. In contrast, previous panel
studies in the financing-con-
straint literature have included only aggregate time dummies.