A Comment on Pleskoe’s “An Evaluation of Alternative Measures of Corporate Tax Rates”
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A Comment on Pleskoe’s “An Evaluation of Alternative Measures of Corporate Tax Rates”

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A Critique ofPlesko’s “An Evaluation of Alternative Measures of Corporate Tax Rates”Terry ShevlinUniversity of WashingtonOctober 1999AbstractIn a recent working paper, Plesko (1999) uses confidential tax return data to evaluatealternative measures of corporate average and marginal tax rates and concludes “Theresults suggest that commonly used measures of average tax rates provide little insightabout annual corporate tax burdens, and may introduce substantial bias into statisticalmodels. Marginal tax rate proxies perform better, but there appears to be little, if any,empirical value added by methods that go beyond easily constructed measurestraditionally used in the literature.” I caution readers in accepting the above inferencesbecause of conceptual flaws in Plesko’s evaluation. In evaluating financial statementbased average tax rates, Plesko assumes researchers are attempting to estimate statutorytax burdens (tax payable as a percent of taxable income) whereas I would argue that mostresearchers are attempting to examine a more general concept of corporate tax burdens(tax payable as a percent of book income). Which tax burden is appropriate depends onthe research question but Plesko assumes the statutory tax burden is always theappropriate measure. In evaluating financial statement based marginal tax rates, Pleskouses a single period measure which fails to take into account the effects of carryback andcarryforward rules in calculating taxable ...

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A Critique of
Plesko’s “An Evaluation of Alternative Measures of Corporate Tax Rates”
Terry Shevlin
University of Washington
October 1999
Abstract
In a recent working paper, Plesko (1999) uses confidential tax return data to evaluate
alternative measures of corporate average and marginal tax rates and concludes “The
results suggest that commonly used measures of average tax rates provide little insight
about annual corporate tax burdens, and may introduce substantial bias into statistical
models.
Marginal tax rate proxies perform better, but there appears to be little, if any,
empirical value added by methods that go beyond easily constructed measures
traditionally used in the literature.”
I caution readers in accepting the above inferences
because of conceptual flaws in Plesko’s evaluation.
In evaluating financial statement
based average tax rates, Plesko assumes researchers are attempting to estimate statutory
tax burdens (tax payable as a percent of taxable income) whereas I would argue that most
researchers are attempting to examine a more general concept of corporate tax burdens
(tax payable as a percent of book income).
Which tax burden is appropriate depends on
the research question but Plesko assumes the statutory tax burden is always the
appropriate measure.
In evaluating financial statement based marginal tax rates, Plesko
uses a single period measure which fails to take into account the effects of carryback and
carryforward rules in calculating taxable income.
Thus his marginal tax rate benchmark
is flawed.
JEL classifications: G3, H25, M4, C200
Email:
shevlin@u.washington.edu
2
A Critique of
Plesko’s “An Evaluation of Alternative Measures of Corporate Tax Rates”
Introduction
As noted in a recent working paper by Plesko (1999), researchers outside the IRS must
rely on alternative sources of information to examine most tax-related hypotheses.
One
source of information used is financial statement information.
Plesko states that “The
maintained hypothesis throughout this paper is that, were it available, researchers would
choose to examine and utilize firms’ tax return information to capture tax attributes rather
than rely on the transmission of such information through the financial statements.” (p.2)
Plesko uses confidential tax return data to evaluate alternative measures of corporate tax
rates and concludes “The results suggest that commonly used measures of average tax
rates provide little insight about annual corporate tax burdens, and may introduce
substantial bias into statistical models.
Marginal tax rate proxies perform better, but there
appears to be little, if any, empirical value added by methods that go beyond easily
constructed measures traditionally used in the literature.”
These are strong claims but
their validity is open to question because of conceptual flaws in Plesko’s evaluation.
Plesko evaluates two types of tax rate measures that are are found in the literature:
average tax rate measures and marginal tax rate measures.
As explained in more detail
below, the conceptual flaw in the evaluation of average tax rate measures is that Plesko
assumes researchers using financial statement data to estimate average tax rates are trying
to estimate statutory tax burdens (which he defines as tax payable as a percent of taxable
income).
However, in many contexts the financial statement based measure is
appropriate.
For example, if the research question is what percentage of the firm’s
reported book income did the firm pay in tax, the financial statement based measure is
(obviously) appropriate.
The conceptual flaw in the evaluation of the marginal tax rate
measures is that Plesko uses a single period measure as his benchmark true marginal tax
rate when marginal tax rates should reflect the present value of taxes payable arising from
earning another dollar of income in the current period.
Marginal tax rates require the
present value concept because of the carryback and carryforward rules affecting taxes
payable on an incremental dollar of income earned in the current period.
Thus his
benchmark is flawed.
I discuss these flaws in more detail for each tax rate measure.
1
Average tax rate measures
As noted by Plesko, average tax rate (ATR) measures are used by researchers to assess
corporate tax burdens. There have been numerous studies and comparison/critiques of
ATR measures,
2
however, Plesko is the first to compare the financial statement based
measures with tax statement measures.
An ATR is calculated as
1
Since I believe the two flaws I discuss are critical to the inferences Plesko draws, I restrict my critique to
these two issues.
That is, my critique is not intended as a comprehensive critique or thorough review of
Plesko (1999).
2
See, for example, Omer, Molloy, and Ziebart (1991) for a summary of prior studies and an evaluation of
alternative measures.
3
income
year
for the
due
taxes
.
Using financial statement data, the numerator can be either current tax expense or total
tax expense which is the sum of current tax expense and deferred tax expense.
The
denominator is some measure of book income with various measures being used in prior
studies.
Plesko examines five different measures as summarized in his Table 1.
Plesko
compares these financial statement ATRs to two tax-based ATR measures with the
numerator in both measures being taxes due for the year after credits and the denominator
being alternative measures of ‘taxable income.’
As noted by Plesko “Even with tax
return information, defining the ATR is not straight forward as the final measure of
income for a corporation in any year is reached by calculating a number of intermediate
definitions of income.”
(p.7)
3
These latter two measures are estimates of the statutory
tax burden of corporations.
Plesko reports a series of regression models and I have no query or criticism of the
regression models or the estimated coefficients.
Rather, my concern and thus caution to
other readers is in Plesko’s inferences from these results.
“Taken as a whole, the results
suggest average tax rates based upon financial statement information are not very
informative in inferring federal tax burdens.” And “Further, given the effects of
correlated measurement error in the dependent variable, it is not apparent what
conclusions can be made from prior studies which have attempted to estimate the sources
of variation in average tax rates.” (p.19)
If these inferences are correct, we are indeed in
serious trouble!
However, this is where Plesko’s maintained hypothesis is important.
He
assumes the tax–based estimates are the ‘true’ measures (otherwise how can we talk
about measurement error and calibrate the effects of measurement error).
Putting aside
that Plesko examines two alternative tax-based measures suggesting some doubt about
which tax-based measure we will take as being true for purposes of measurement error
issues, the issue really is that the appropriate measure (financial statement based or tax-
return based) of ATRs depends on the context and research question being examined.
It
is not the case that the statutory tax burden is always the correct (or true) measure.
I
discuss some contexts where I believe financial statement ATRs are appropriate.
This list
is not exhaustive.
In a widely cited series of studies, The Citizen’s For Tax Justice (1984, 1985, 1986) using
financial statement data highlighted that many large firms were paying zero or very low
taxes while reporting large earnings to shareholders (that is, the financial statement ATR
was zero or very low).
These reports are credited by some (e.g., Birnbaum and Murray
1987) as directly influencing Congress in the Tax Reform Act of 1986 (TRA 86) to
broaden the tax base and introduce, for several years, a book income adjustment to the
corporate alternative minimum tax (the so-called AMTBIA).
4
Thus any study wishing to
evaluate the CTJ studies can legitimately examine financial statement based ATRs (see,
for example, Gupta and Newberry 1992, Kern and Morris 1992 and Shevlin and Porter
1992).
Further, since the CTJ study appeared to influence tax policy around TRA 86
3
In the first tax-based measure, the denominator is taxable income before net operating loss and special
deductions (referred to as the TAXNI measure) and in the second measure the denominator is income
subject to tax (TACIST).
4
See Gramlich (1991) for a discussion of the AMTBIA.
4
(and I note the
Wall Street Journal
August 4 1999 relates taxes paid to corporate earnings
as well as to taxable income in discussing current tax issues), one can make a reasonable
argument that financial statement based ATRs are relevant in examining corporate tax
burdens (as opposed to statutory tax burdens) for tax policy related issues.
See also
Gupta and Newberry (1992, notes 1 and 2) for references to studies of financial statement
based ATRs by the Joint Committee of Taxation and the U.S. General Accounting Office.
An early motivation for examining ATRs was to provide evidence on the political cost
hypothesis (Zimmerman 1983, Porcano 1986, and Wilke and Limberg 1990).
This
hypothesis predicts that larger firms faced more political scrutiny and thus were more
likely to select income decreasing accounting methods (and accruals).
One measure of
political scrutiny is reflected in the taxes paid by different size firms.
Specifically, do
larger firms face higher tax burdens?
Alternatively stated, do larger firms pay a larger
proportion of their earnings as taxes?
Stated this way, it is very reasonable to compare
the percent of earnings paid in taxes across different size firms and thus to use financial
statement based ATRs.
ATRs are also used to examine tax planning effectiveness (and also tax aggressiveness).
More effective tax planners are expected to exhibit lower ATRs.
But if we examine
statutory tax burdens, the burden can only differ from the top statutory tax rate because of
credits (I am assuming here that the effect of progressivity is minor for the average public
firm usually studied).
That is, any tax planning that defers revenue or accelerates tax
deductions reduces taxable income but has no effect on the statutory tax burden.
Thus,
statutory tax burdens do not reflect the effects of effective tax planning.
On the other
hand, tax planning that defers revenue and accelerates deductions for tax purposes but not
financial reporting purposes (that is, timing differences) will result in lower financial
statement ATRs (where the denominator is current tax expense and not total tax expense).
That is, tax planning that result in timing or permanent differences will have little effect
on statutory tax burdens but will show up in financial statement ATRs.
Also studies
examining the effects of compensation schemes which are based on after-tax accounting
numbers also are also correct in using financial statement based measures (see, for
example, Philips 1999).
Past researchers examing financial statement based measures with any accounting
knowledge were well aware that book income measures differ from taxable income (due
to timing and permament differences) and thus were not purporting to examine firms’
statutory tax burdens.
5
To the extent they were, Plesko’s comments and inferences on
ATRs are valid.
Since the purpose of calculating financial statement income (as a
measure of firms operating performance) is different than the purpose of calculating
taxable income (a base on which to tax the firm), it is arguable as to which income
measure is a better measure of a firm’s performance.
And if in assessing corporate tax
burdens we wish to relate current taxes payable to the firm’s current performance, a
strong argument can be made for financial statement based measure(s) of earnings.
Thus
it is arguable as to which measure of income (tax or book) is a better denominator in
estimating a firm’s corporate tax burden and the answer, as noted above, depends on the
context and research question.
I, and many financial and tax accountants, would argue
5
See Plesko (1999) or Gupta and Newberry (1992) for the definition and a discussion of timing and
permanent differences.
5
that accounting income is a better measure of a firm’s operating performance and that
financial statement based measures of ATRs are better measures of corporate tax burdens
as distinct from being measures of the statutory tax burden.
Most financial and tax
accountants would agree that financial statement ATRs are likely poor measures of
statutory tax burdens (because of the differences in the calculation of the income used in
denominator).
6,7
Marginal tax rate measures
Corporate marginal tax rate (MTR) measures are used in studies examining tax motivated
corporate behavior.
Consistent with Scholes and Wolfson (1992, p.146) the corporate
marginal tax rate is generally defined as the change in the present value of the cash flow
paid to (or recovered from) the tax authorities as a result of earning one extra dollar of
taxable income in the current tax period.
This is a present value concept since U.S.
corporate tax law treats gains and losses asymmetrically by taxing income for the current
period at statutory rates only when positive.
Losses may be carried back to obtain
refunds of previously paid taxes or carried forward to be offset against future taxes
payable.
Because of this asymmetric treatment, gains and losses from other years have
the potential to reduce firms’ current period MTR.
In other words, the current period
MTR is dependent on the firms’ taxable income in prior and future years.
Graham (1996b) evaluates alternative proxies relative to a simulation based method
developed by Shevlin (1987, 1990) and extended by Graham (1996a).
The simulation
approach involves repeated simulation of the firm’s future (financial statement estimated)
taxable income to incorporate the carryback and carryforward rules and thus captures the
present value or multiperiod nature of MTRs.
Based on Graham’s evaluation and the
posting of simulated MTRs on Graham’s website, more and more researchers are using
the simulated rates.
It is important to note that the simulation approach requires
assumptions to implement and the estimates differ depending on the assumptions.
However, we do not know how ‘good’ a proxy these rates are.
Plesko (1999) attempts an
evaluation but uses only one period of taxable income and ignores the multiperiod effects
of the asymmetric treatment of gains and losses.
Thus his measure is a single period
measure.
To see the extent of the problem, if the firm has negative taxable income (a tax
loss) that has to be carried forward, it appears as though Plesko assigns the firm an MTR
of zero when, in fact, if the tax losses are used in the next period the
6
If past researchers were attempting to estimate the statutory tax burden, then an interesting comparison
would be with a financial statement based estimate of taxable income (as per Guenther (1992) where pretax
book income is adjusted for timing and permanent differences to estimate taxable income) with the tax
return taxable income.
7
There are other problems with calculating financial statement ATRs which are not germane to this
comment.
One of these problems occurs when tax payable is positive and income is negative or tax
payable is negative (the firm obtains a refund) and income is negative or positive.
The traditional ATR is
not well defined in these situations.
Wilkie and Limberg (1993) discuss this problem and suggest an
alternative measure of the corporate tax burden.
Also the ATRs here focus only on explicit taxes and
ignore implicit taxes.
Finally, the numerator of the ATR includes only current taxes payable, and it can be
argued that the present value of deferred taxes should be included to obtain a better measure of the percent
of taxes due on the current period accounting earnings.
However, calculating present value is not an easy
task.
6
MTR
t
=
r)
(1
str
1
t
+
+
.
If the statutory tax rate in period t+1, str
t+1
, is 35% and the after-tax discount rate, r, is
10%, then MTR
t
= 32% which is far greater than the 0% assigned by Plesko.
Thus the
tax-based one-period MTR used by Plesko as the benchmark (which he assumes
represents the true marginal tax rate) is conceptually flawed and thus any inferences
based on this measure are flawed (and misleading).
Plesko could (partially) address the conceptual flaw by using a time-series of tax data for
the firm (with the time-series being a function of the carryback and carryforward rules,
which were changed in the Taxpayer Relief Act of 1997 from a 3 to 2 year carryback
period and from 15 to 20 year carryforward period).
Using a time-series would take into
account the effects of the carryback and carryforward rules on the current period MTR.
However, a remaining problem with all attempts to evaluate MTR proxies is that a firm’s
MTR is truly unobservable for reasons pointed out in Shevlin (1990, note 8).
The reason
for this is that any taxable income realizations beyond period t are the result of actions
taken by the firm in period t in response to its tax status.
That is, the future period
taxable income realizations are endogenous to the period t MTR.
To the extent the researcher is willing to assume this endogenity is of second order
magnitude, then future taxable income realizations could be used to calculate a present
value MTR measure.
With this measure, an evaluation of the alternative MTR proxies
could be conducted and if results similar to Plesko were observed (that two binary
variables seem to capture most of the variation in the tax-based present value MTR) then
I think this would be a valuable contribution to the literature.
That is, use of simple
binary variables, or even a combination of the two binary variables, in lieu of the more
complex simulation approach would be easier to implement.
Finally any measurement error really should be defined with respect to the concept or
MTR measure that firms actually use in decision making, and a worthwhile endeavor
would be to document (possibly by field study) how firms incorporate their tax status into
their decisions.
It is possible that managers use a simple binary measure based on the
sign of taxable income or a slightly more sophisticated measure that combines the sign of
taxable income and NOL status.
In this context, the simulation approach by estimating a
continuous rate would contain much measurement error.
Conclusion
To summarize, Plesko attempts to provide an evaluation of financial statement based
average and marginal tax rates.
The inferences he draws from both sets of evaluations
are flawed (or at best, must be tempered) by conceptual errors underlying his analysis.
With respect to the average tax rate evaluation, financial statement based estimates of
corporate tax burdens are fine conditional on recognizing that they are not estimates of
the statutory tax burden.
Whether tax-based or financial statement based ATRs are
appropriate depends on the context and research question and to assume that the tax-
based measure is always the desired or correct measure is incorrect.
I have provided
several scenarios in which financial statement based ATRs are desired (and thus the tax-
based measures contain measurement error in these settings!).
With respect to the
7
marginal tax rate evaluation, Plesko uses a single period measure of the marginal tax rate
which ignores the effects of the carryback and carryforward rules which in my opinion
are key drivers of cross-sectional variation in corporate marginal tax rates.
Thus the
benchmark is incorrect.
Thus I disagree with the following conclusions by Plesko (1999):
“Given the extent to which tax rates appear to be mismeasured by publicly available data,
and the econometric implications of mismeasurement of variables, any prior finding of
tax effects may be viewed as surprising.” and
“The differences in calculated tax rates across the two sources of data are striking and
have a number of obvious, and not so obvious, interpretations and implications.
Given
the inability to interpret both coefficients and significance in these cases, financial data
does not appear to provide a strong foundation on which to judge the effects of taxation
or build arguments for tax policy.” (p.27)
Strong claims indeed but which unfortunately do not hold up to close scrutiny for the
reasons outlined in this critique.
8
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9
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