Goldilocks rebates: complying with government wishes only when rebate amount is "just right".
Chambers, Valrie ; Spencer, Marilyn K. ; Mollick, Joseph S. 等
INTRODUCTION
Tax refunds and rate reductions are a political mainstay, and are
often justified as a means to increase savings or stimulate the economy
(increase spending). Consequently, it is important to know whether and
how the stated government intent affects spending versus saving, if at
all. The evidence of whether tax refunds predominantly stimulate
consumer spending or investment/saving in general is contradictory per
Slemrod (2004), and may be affected by whether the refund is delivered
as a lump sum or pro-rated monthly through e.g., reduced withholding tables (Chambers and Spencer, 2007 and 2008). This paper examines how
closely taxpayers follow the government's stated objective of
increasing savings or stimulating the economy through additional
spending at four levels of tax rebates: $300, $600 $1,500 and $3,000.
Additionally, this study explores the types of investment/saving and
spending that result from refunds under both sets of government
directions, controlling for the timing of the distribution.
LITERATURE REVIEW
In making tax cuts, presidents have predicted how those cuts would
affect the economy. For example, George W. Bush (2001) defended his tax
cut proposal, saying "In the short-term, the American consumer
needs a hand ... (with) credit card debt." Yet, there are few
studies to determine whether government direction actually affects
taxpayers use or timing of tax cuts and refunds. Slemrod and Bakija
(2004) posited that "the degree to which people spend any increase
in their after-tax incomes depends heavily on their perceptions of the
state of the economy (and) cast doubt on the effectiveness of even
persistent tax cuts as recession-fighting measures" (pp. 102-103).
Timing of tax distributions might also affect the amount spent vs.
saved. Per Shapiro and Slemrod (1995), almost half the taxpayers
receiving the George H. W. Bush 1992 decrease in tax withholding tables
expected to spend most of the extra money immediately. This particular
rebate changed the amount of federal individual income taxes withheld
from paychecks, but the total yearly tax liability was unaffected.
Hence, the extra money taken home was later due or reduced the year-end
refund when the tax return was filed. Economic theory leads us to expect
that no change in consumption should have resulted. However, when the
2001 tax cut came as a lump sum of about $300--$600, only about one
quarter of the taxpayers expected to spend the refunds (Shapiro and
Slemrod, 2003a, 2003b). Parker (1999) found that taxpayers whose
salaries exceed the Social Security limit spend a significant amount of
the excess when it is received rather than averaging the excess over an
entire fiscal year; whereas Souleles (2002) found that taxpayers
responded to the 1981 gradual tax cuts by gradually increasing their
consumption. Chambers and Spencer (2007) found that those receiving a
yearly refund of either $300 or $600 in a lump sum saved more of that
refund than if that same yearly amount were spread out in smaller,
monthly installments.
Thaler's (1999) work sheds light on this behavior by asserting
that individuals use a system of "mental accounting,"
informally labeling funds depending on whether they result from a
regular income flow or from an irregular, lump-sum windfall.
O'Curry (1997) finds that people match the flow with the use to
which it is put. These accounts are evaluated by what Read, Loewenstein
and Rabin (1998) label "choice bracketing," which include time
periods within which accounts are mentally reconciled. The relative
amount of the refund might also be a factor, with poorer households
tending to have shorter reconciliation periods than wealthier
households. Camerer et al. (1997) find that New York taxi cab drivers
have daily earnings targets, while Heath and Soll (1996) find that MBA
students have a weekly meals and entertainment budget, but a monthly
clothing budget. (Wealthier) physicians reconcile their budgets yearly
(Rizzo and Zeckhauser 1998).
Fogel (2009, p. 12-15) tested money from various frivolous and
serious sources (e.g. raffle winnings v. job earnings) and found an
interaction effect between amount and source of money. At smaller
amounts, the source of income did not affect spending patterns. At
moderate amounts of money, frivolous sources of income led to frivolous
uses (and serious sources led to serious uses). And, at the largest
amounts of money those differences disappeared. When comparing the
effect of the explicitness of income source labels, Fogel (2009, p. 26)
found that where source labels were explicit, the means of obtaining
income determined the spending. Conversely, where the source of labels
were ambiguous, the amount of the income dominated spending choices,
adding that "[a]mount was also important at extremely high or low
values, consistent with prior evidence that large windfalls are treated
differently than other income."
As for corporations, Rice (1992) found that higher profit companies
had worse tax compliance than less profitable companies. If
corporations, especially wealthier ones, do not obey the government
laws, the author(s) posit that individuals will be lax in adhering to
the government's intended use of a tax refund. Chambers (2005)
found that the self-employed or those actively seeking to be
self-employed often will elect to pay required quarterly estimated taxes
in smaller, more frequent amounts if given the explicit option despite
foregone interest and facing the same total tax liability. The
documentation of this phenomenon is impressive. However, few practical
tax policy uses have been developed to capitalize on this knowledge.
In February 2008, new tax rebates were approved, with some rebates
significantly larger than in past years. President Bush urged consumers
to spend the funds to stimulate the economy. According to the subsequent
CCH tax briefing concerning the economic stimulus package:
Recovery rebates (technically known as "advance credit payments"),
reaching as high as $600 for individuals and $1,200 for married
couples, will soon be deposited or mailed to an estimated 130
million Americans.... According to Ways and Means Chair, Charles
Rangel, D-NY, "This stimulus package will send critical relief to
millions of lower- and middle-income families whose economic
situation dictates that they have no choice but to spend the rebate
check and purchase goods and services to spur our economy."
This study developed and administered a survey instrument in an
attempt to determine whether an explicit statement of how the government
would prefer a refund to be used is an effective method for influencing
taxpayers' intended use of their refunds, controlling for
demographic differences, the size of the refund and the refund's
timing.
HYPOTHESIS AND RESEARCH QUESTIONS
The author(s) hypothesize that explicit government direction for
the uses for the refund will not make a significant difference (the null
hypothesis), at four lump-sum rates of refunds--$300, $600, $1,500 and
$3,000, controlling for the timing of the distribution:
Hypothesis: Respondents receiving a lump sum hypothetical tax
refund of $300 (or $600, $1,500 or $3,000) which the government
expressly wishes them to spend will not spend significantly more of the
refund than those receiving the same lump sum amount where the
government expressly wishes that the taxpayer save it.
Saving is defined as either increasing assets and/or decreasing
liabilities to increase net worth, consistent with Shapiro and Slemrod
(1995). Short-term saving is included as spending, because while the
amount is not spent immediately, it is expected to be spent before a
12-month period has elapsed, and thus is expected to stimulate the
economy at the expense of net worth. A separate analysis is run to test
whether including short-term saving as saving significantly changes the
results for this hypothesis. A third analysis controls for the annual
amount of the refund if distributed over 12 equal monthly installments.
The results of these analyses for the hypothesis are expected to be
insignificant (even if positive), with the results diminishing as the
size of the refund increases, consistent with Rice (1992).
Respondents in Shapiro and Slemrod's (1995) study were asked
if they intended to do one of three things with their 1992 rebates:
"(A) spend, (B) save, (or) (C) repay debt," without
considering whether the savings will last longer than, or less than, one
year. The time horizon for saving might have a broad economic effect:
affecting, e.g. the supply and demand curves for the price of marketable
securities. Similarly, on the spending side, a one-time purchase of
durable goods is different from an increase in regular monthly
purchases. Consistent with Chambers and Spencer (2007 and 2008) such
differences in spending and saving decisions are studied by asking 12
research questions. Specifically, research questions 1 -12 examine the
percentages of refunds applied on a yearly, and monthly, basis
respectively as: (1) & (7) investing in long-term savings vehicles
like certificates of deposit and debt/equity securities; (6) & (12)
saving for short-term goals like a vacation; (3) & (9) paying down
long-term notes payable; (2) & (8) paying down credit card debt; (4)
& (10) spending for monthly bills; or (5) & (11) spending on
durable goods.
METHODOLOGY
Within-subjects experimental questionnaires concerning either the
$300 or $600 rebate amount were distributed to 376 university students.
(See Appendix A.) An additional 88 students were given the same
instrument at the $1,500 yearly level; and 96 at the $3,000 level.
However, since this was materially greater than historical tax cut
amounts for most taxpayers, the $1,500 and $3,000 amounts are limited in
this paper to a discussion of the sensitivity of the findings of this
study. Students completing the instrument received extra credit equal to
about 1% of their final grade. Initially, the instrument was distributed
during the 2006-2007 academic school year. In 2007-2008, the instrument
was re-distributed, and those 2007-08 data are the focus of this paper,
with a comparison to the 2006-07 results when they differ significantly.
The instrument provides for not only a hypothetical refund amount
(either $300 or $600) but also a statement of how the government would
like the taxpayer to use that sum--to either spend or save. Roughly half
of the instruments first asked how much of the lump sum refund would be:
(1) invested (in stocks, bonds, savings account, etc.), (2) used to pay
off credit card debt, (3) used to pay off notes (e.g. mortgage, car
note), (4) used up for regular monthly expenses, (5) used to buy a
durable asset (e.g. car, boat, washing machine, furniture), and (6) used
to save for an infrequent yearly expense (e.g. vacation, bigger holiday
gifts). Next, the respondent was asked the same six questions, but
changing the timing of a refund from lump sum to a smaller monthly
amount equal to 1/12 of the lump sum amount. The other half of the
instruments reversed the order--first asking about the use of a monthly
amount and then a yearly lump-sum. Reversing the order allowed for
testing whether order mattered. Finally, each of the instruments
controlled for demographics and perceived business experience.
ANOVA was used to analyze the hypothesis, where items 1 through 3
are saving, and items 4 through 6 are spending, and then again with
short-term saving included as saving rather than spending. Research
items 1-12 were analyzed for frequency of payment at each refund level
in percentage terms and with descriptive statistics. The descriptive
statistics by refund level are available on request. Then, to refine the
amount of the materiality limit, a subsequent instrument using numbers
between $300 and $600 was administered and analyzed.
Subsequently, the 2008 rebate was announced and distributed. A
second study was then performed to survey members of the Corpus Christi community, from September through November 2008, who actually received
the 2008 economic stimulus rebate, with questionnaires distributed to
203 participants. Approximately half of the respondents were university
students in business, education and social science classes; most of them
completed the survey in order to receive extra credit equal to about 1%
of the final course grade. The other half of the respondents filled out
the survey in various community venues: on their way into Sam's
Club, after church services at churches in different parts of town,
before and after a meeting of the local American Association of
University Women branch, or at a Rotary Club meeting. Most participants
were given small, token gifts for the use of their time or were offered
small financial gifts for non-profit organizations of their choosing.
This second instrument (see Appendix B) asked each respondent to
indicate the size of the economic stimulus rebate and the month they
received it. Then they were asked how they allocated the funds, among
the same six categories used in the first questionnaire. The instrument
also asked for responses to questions on their demographics and
financial status. The dollar amount for each of the primary six
categories was converted to a percentage of the refund, as well as
aggregated into the saving and spending categories. As with the
experimental group, investing and paying off credit card debt and/or
notes is considered as savings (items 1 through 3), and monthly spending
and purchasing durable assets as spending (items 4 and 5). In the first
analysis, saving for an infrequent expense (item 6) is added to savings.
However, because it is only short-term savings, stimulating the economy
by the end of the year, the analysis is run a second time to include it
as spending instead of saving; in that second analysis
"savings" indicates "long-term savings."
RESULTS AND DISCUSSION
The instrument was administered to 376 experimental respondents
(after 13 invalid responses). These respondents averaged 3.4 years of
business experience and some college education. Students perceived
themselves to have moderate business experience. The amount of Adjusted
Gross Income (AGI) was a significant factor when focusing on those with
a non-zero AGI, but not significant when including those with zero AGI.
The size of the effect for income earners only was very small (0.0003).
No other control variables were found to be significant.
Surprisingly, the null hypothesis was rejected (we had predicted it
would be accepted at all levels of refund), but only at one level of
hypothetical lump sum refund amount, $600. To validate these findings, a
second instrument was disseminated to test how taxpayers spent their
actual 2008 economic stimulus lump-sum rebate checks. The same pattern
was observed in the spending the actual rebates as predicted by the
experimental study, supporting those experimental findings. These
results are consistent with Fogel (2009), whose research indicated a
spending pattern of windfall funds at moderate amounts that differed
from spending at extremely high or low amounts.
When this instrument was first administered during the 2006-2007
academic year, similar, significant results were shown, but at the
$300/year level only (Chambers & Spencer, 2007). That is, the
experimental results appear to have been stable over both
administrations of the instrument; however the amount at which
significant compliance occurred shifted. Two major economic events
occurred between the first and second administrations of the instrument
that may make the consolidation of the results unwise: a significant
jump in inflation--and in particular energy prices and food--was
occurring, and an actual lump-sum tax rebate of similar amounts was
declared, adding immediate external validity to this instrument. Perhaps
the inflation, and/or the looming reality of the rebate, accounts for
this shift, but this is a matter for further study.
As with Shapiro and Slemrod's (2003a) study, most of a lump
sum refund of $300 or $600 would have been saved, not spent.
Specifically, $173 (58%) of the $300 and $374 (62%) of the $600 would be
saved for longer than one year when the government requested the refund
be saved. When the government requested the refund be spent, the amounts
were $159 (53%) and $256 (43%), respectively. Of those instructed to
spend the money, 13 (27%) saved all of a $300 lump sum refund compared
to 14 (27%) of those instructed to save the money. Of those who received
a $600 lump sum, 2 (5%) of those told to spend the refund saved it all,
versus 13 (32%) of those instructed to save the refund, who would save
it all. See Table 1 for ANOVA results at the $300 level for a lump-sum
distribution, which indicates no significant difference. When the
amounts of the tax rebates are distributed in smaller, monthly amounts,
none of the differences are significant, consistent with the timing of a
tax distribution changing the spending pattern of that distribution
(Chambers and Spencer, 2008). When short-term saving is considered as
saving, the p-value for difference between groups is not significant.
Thus, the hypothesis is sustained at the $300 level.
The results for a $600 refund are presented in Table 2 below, and
the hypothesis is rejected, with robust, significant results. The change
in significance comes almost entirely from the group instructed to
spend. Those instructed to save at the $300 and $600 levels save most of
the refund: 57.8% and 62.4%, respectively, consistent with instructions.
However, those instructed to spend the refund move from saving 53.0% at
the $300 level to saving only 42.7% at the $600 level. This behavior at
the $600 level reverts to largely disregarding the government's
intended use when the refund level increases to $1,500. Where short-term
saving is considered as saving at the $600 level, the p-value falls to
.07. Paired with the findings at the $300 level, it seems taxpayers view
short-term saving as spending, or else intend to save, but not for long.
Conformance with government preference appears only in a
"sweet spot" of rebate levels that is not too high in amount
and not too low. This pattern would make sense where the friction costs of conforming with government preferences is viewed as relatively high
for low rebate amounts--outweighing the benefits, as in the case of all
(smaller) monthly rebated amounts and in this case, the $300/year
amount. At the higher end, somewhere above $600, taxpayers may value
higher personal utility and/or responsibility for the disposition of
their tax rebates over government direction as to how those rebates
should be spent. To try to pinpoint the amount of the sweet spot, the
authors analyzed amounts between $300 and $600 but found no hypothetical
breaking point between those two numbers.
As shown in Tables 3 and 4, and consistent with Chambers and
Spencer (2007), if individuals invest more when asked to invest rather
than spend, that effect is not significant and remains insignificant at
the $3,000 level, sustaining the hypothesis at these levels of refund.
Refunds of $1,500 and $3,000, which have the potential to soundly
affect the standard of living of respondents, were used to test the
sensitivity of these findings. Similar to Rice (1992), as the amount of
money to the taxpayer increases, the wishes of the government are heeded
less. Even if these same yearly amounts are distributed to taxpayers in
smaller, monthly payments, no significant differences are found. The
results of spending for research questions 1-12 are presented in Table
5.
At the $600 per year level, the greatest increase in spending--when
taxpayers were encouraged to spend--was for durable goods. When
encouraged to save, the greatest increase in saving was in the form of
credit card debt reduction. This is arguably the most financially sound
place to save, given the credit card interest rates in 2007-2008
compared to market returns. This choice reduces interest expense of
future purchases, as opposed to investments in debt/equity which
increase net worth without changing future spending patterns.
Actual rebates spent in the $300 to $600 range indicated that same
pattern, with taxpayers ending compliance with government wishes for
spending at $600. Recall that all actual rebates received came with the
government encouragement to spend. At the $300 level, many split their
rebates between two, or more, categories. At about $600, people began to
shift gradually via allocations towards their final rebate
allocation/position. Although some never had a pattern that indicated
taking direction from the government, some appeared to do so in that
range above $300 (therefore material) but ending in self-determination
at $600. Note in Table 6, showing the percentage of taxpayers who spent,
shows that 40% of the time, the entire $300 was spent. The percentage
for the $301-$599 range is similar, but then at $600, the percentage of
the rebate spent drops to 24% (a drop of 40%). It seems as if, at least
for actual rebates, the sweet spot is not between $300 and $600, but, in
aggregate on average is $600 (validating our lack of pinpointing an
amount of hypothetical rebates between $300 and $600). Splitting between
two categories remains the same.--Perhaps these respondents are
"planner/sorters" (highly organized people who make lists,
organize their closets, etc.), but that is left for further study. Those
who spent none of the rebate made up the difference; that is, savings
went up by approximately 40%.
The actual rebate mean for the $300 to $600 range was $465. For
actual rebates in a $300 range (+/- 20%, an a priori grouping) around
the $1,500 rebates, the rebate mean was $1,355. The pay-down of credit
cards was almost twice the expected rate, with less spending on monthly
expenses and durables. However, a limitation in the actual rebate
spending is likely; while the authors used the same categories to test
the hypothetical and actual allocation of rebates for internal validity,
the actual rebate distribution was different than the hypothetical
scenario: in the hypothetical scenario, the announcement of the rebate
was simultaneous with its hypothetical receipt. In the actual scenario,
there was much public discussion and notice of the forthcoming rebate.
Some may have spent the rebate by charging either a durable or monthly
expense in anticipation of receiving the check, and now were merely
"paying it back." Therefore, could be, given that the
hypothetical results are generally validated by the actual results, that
the hypothetical is more reliable than the actual, at least given the
wording of the survey. (See Table 7.)
In that $1,200 to $1,800 range, investments are somewhat lower and
payment of notes payable is somewhat higher, which would be expected
where the investment market had soured (as it did between the time of
the hypothetical questionnaire and the actual one). Paying off notes did
yield a better return than investment than the market. Short-term
savings is also higher, which may indicate a pent up demand to get back
into the market once the taxpayer perceives that the market has bottomed
out. Only two respondents received tax rebates of more than $2,500, so
the comparison of savings patterns between the hypothetical and actual
rebates for the $3,000 was not feasible.
CONCLUSIONS
ANOVA results confirm that government direction has only a limited
effect on taxpayer spending and saving choices, only significant over
some range around $600, given that this study examined the proposed
spending from refunds of $300, $600, $1,500 and $3,000. Individuals
significantly followed the government's stated desire for the use
of the money--spending or saving--only when the dollar amount is
perceived as small, but not so small as to be perceived as not worth the
effort. But, whatever the reason, the implication for federal tax policy
is to not rely on governmental requests to have the desired effect on
taxpayer behavior. It appears that the taxpayers' inclination is to
not be dissuaded by governmental requests from making consumption,
investment or saving choices they would perceive as being in their own
self-interest once the rebate reaches the $600 level.
FUTURE DIRECTIONS
Given the quasi-experiment provided by the 2008 stimulus rebates,
further analysis of how people actually did use their rebate funds will
provide even better answers to the question of the effect of government
wishes on consumer choices. These rebates--for those with positive AGI
and also for those receiving Social Security ranged from $300 to well
above the $1,500 amount considered in this paper.
Another area for study is to examine in more depth the sensitivity
of an individual's responses to the size of the refund, especially
when examined relative to the household's assets and debts. A
within-subject's study of responses to different rebate levels may
yield a pattern of behavior that could shed more light on why no
significance was found at the $300 level but that individuals did
respond significantly to the government's request at the $600
level. It may be that economic theory of consumption behavior needs to
be questioned for not being robust enough, especially if what is
currently considered to be rational behavior is not the behavior
actually observed. We may need to learn more about consumption decisions
by studying current brain research and mental accounting theory.
President Obama recently signed another economic stimulus bill.
Included was a tax rebate that is just now being distributed as small
amounts in payroll checks, starting in spring 2009. This new
quasi-experiment will provide an additional opportunity for researchers,
to measure the impact of a tax rebate delivered in yet another way.
APPENDIX A--EXPERIMENTAL INSTRUMENT
The first eight instruments were constructed as follows: Four
instruments, including the one shown below, had the same wording but
used yearly (followed by monthly) amounts of $300 ($25), $1,500 ($125),
and $3,000 ($250) respectively. Using the same four amounts, another
four instruments were administered changing only the instructions to
indicate that "It is the government's hope that you will use
this money to stimulate the economy (spend it)." The remaining
eight instruments asked about a monthly rebate first and the lump-sum
rebate second, to be able to test for order effects. Otherwise they were
the same as the first eight instruments.
"What would you do if ...?" (Fill in the amounts): One
hypothetical proposed tax bill would result in you receiving $600.00 tax
credit which for 2006 will automatically be mailed to you as a check
from the IRS this November. It is the government's hope that you
will invest this money.
APPENDIX A 1st Table
If enacted, how much of this refund would you plan to:
Invest (in stocks, bonds, savings account, etc)? $
Use to pay off credit card debt? $
Use to pay off notes (e.g. mortgage, car note, etc.)? $
Use up about evenly every month for expenses?--/mo. x 12 mo.= $
Use to buy a durable asset (e.g. car, boat, washing machine,
furniture)? $
Use to save for an infrequent expense (e.g. vacation, bigger
holiday gifts)? $
Amount must total $600.00--a $
Another hypothetical tax proposal would result in you receiving
$50.00/month after taxes; that is, your paychecks would go up
$50.00/month with no additional tax due at the end of the year. It is
the government's hope that you will invest this money.
APPENDIX A 2nd Table
If enacted, how much of this monthly increase would you plan to:
Invest (in stocks, bonds, savings account, etc.)? $
Use to pay off credit card debt? $
Use to pay off notes (e.g. mortgage, car note, etc.)? $
Use up for regular monthly expenses? $
Use to buy a durable asset (e.g. car, boat, washing
machine, furniture)? $
Use to save for an infrequent yearly expense (e.g. vacation, bigger
holiday gifts)? $
Amount must total $50.00--a $
APPENDIX A 3rd Table
Please list your:--Zip Code --Years of Business Experience
Highest education level:
--High School --Undergraduate --Graduate or above
Occupation: --Gender: --Female --Male
# Hours College-level Accounting--
Industry where you work--
You would classify your business experience level as:
--High --Fairly high --Moderate --Fairly low --Low
THANK YOU FOR YOUR PARTICIPATION!!
APPENDIX B:
INSTRUMENT FOR ACTUAL 2008 STIMULUS RECIPIENTS
"What did you do ...?"
(Fill in the amounts): In order to stimulate the economy, you
received a payment from the government this year. This payment was
automatically sent to you from the IRS. In which month did you receive
the funds:
May--June-July-August-September-October-November--
Size of refund: $--
APPENDIX B 1st Table
How much of this refund have you used for each of these purposes
(approximately)?:
Invest (in stocks, bonds, savings account, etc.)? $
Use to pay off credit card debt? $
Use to pay off notes (e.g. mortgage, car note, etc.)? $
Use up about evenly every month for expenses? ______/mo. x
12 mo.= $
Use to buy a durable asset (e.g. car, boat, washing machine,
furniture)? $
Use to save for an infrequent expense (e.g. vacation, bigger
holiday gifts)? $
Amount must total $600.00--a $
APPENDIX B 2nd Table
Please list your:--Zip Code --Years of Business Experience
Highest education level:--Less than high school --High School
--Undergraduate --Graduate or above
Occupation:--Retired? --yes --no
Gender: --Female --Male
# Hours College-level Accounting--
Industry where you work---
You would classify your business experience level as:
--High --Fairly high --Moderate --Fairly low --Low
# Hours College-level Accounting--
Industry where you work/worked--
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Valrie Chambers, Texas A & M University-Corpus Christi
Marilyn K. Spencer, Texas A & M University-Corpus Christi
Joseph S. Mollick, Texas A & M University-Corpus Christi
Table 1. Amount Saved When $300 Hypothetical Refund Is Received Yearly
Groups Count Sum Average Variance % of
Refund
Instructed to Spend 48 7635 159.0625 12792.19 53.00%
Instructed to Invest 52 9020 173.4615 9478.959 57.80%
ANOVA
Source of Variation SS df MS
Between Groups 5175.014 1 5175.014
Within Groups 1084660 98 11067.96
Total 1089835 99
ANOVA
Source of Variation F P-value F crit
Between Groups 0.467567 0.495722 3.938112
Within Groups
Total
Table 2. Amount Saved When $600 Hypothetical Refund Is Received Yearly
Groups Count Sum Average Variance % of
Refund
Instructed to Spend 40 10250 256.25 34321.47 42.70%
Instructed to Invest 40 14965 374.125 42329.34 62.40%
ANOVA
Source of Variation SS df MS
Between Groups 277890.3 1 277890.3
Within Groups 2989382 78 38325.41
Total 3267272 79
ANOVA
Source of Variation F P-value F crit
Between Groups 7.250811 0.008671 3.963464
Within Groups
Total
Table 3. Amount Saved When $1,500 Hypothetical Refund Is Received
Yearly
Groups Count Sum Average Variance % of
Refund
Instructed to Spend 42 34110 812.143 220046.5 54.10%
Instructed to Invest 46 41520 902.6087 214104.2 60.20%
ANOVA
Source of Variation SS df MS
Between Groups 179677.5 1 179677.5
Within Groups 18656594 86 216937.1
Total 18836272 87
ANOVA
Source of Variation F P-value F crit
Between Groups 0.828247 0.365324 3.951882
Within Groups
Total
Table 4. Amount Saved When $3,000 Hypothetical Refund Is Received
Yearly
Groups Count Sum Average Variance % of
Refund
Instructed to Spend 45 74520 1656 1176370 55.20%
Instructed to Invest 51 89610 1757.059 911581.2 58.60%
ANOVA
Source of Variation SS df MS
Between Groups 244151.8 1 244151.8
Within Groups 97339339 94 1035525
Total 97583491 95
ANOVA
Source of Variation F P-value F crit
Between Groups 0.235776 0.628404 3.942304
Within Groups
Total
Table 5. How Hypothetical Refunds Will Be Used (rounded to nearest
whole percent)
Yearly Lump Sum of $300 $600
Government Instruction Spend Save Spend Save
n= 48 52 43 43
Investments in debt/equity 26% 25% 19% 24%
Pay Credit Cards 17% 16% 15% 23%
Pay Long-term Notes 10% 17% 11% 14%
Spend Mon. Expenditures 11% 13% 18% 13%
Spend on Durable Goods 14% 11% 15% 9%
Short-term Savings 22% 18% 22% 17%
Percent Saved/Pay Off Debt 53% 58% 45% 61%
Percent to Be Spent 47% 42% 55% 39%
Monthly Amount of $25 $50
n= 48 52 43 43
Investments in debt/equity 23% 25% 21% 21%
Pay Credit Cards 11% 12% 14% 20%
Pay Long-term Notes 10% 7% 5% 6%
Spend Mon. Expenditures 40% 35% 38% 43%
Spend on Durable Goods 4% 4% 10% 4%
Short-term Savings 12% 17% 12% 6%
Percent Saved/Pay Off Debt 44% 44% 40% 47%
Percent to Be Spent 56% 56% 60% 53%
Yearly Lump Sum of $1,500 $3,000
Government Instruction Spend Save Spend Save
n= 45 49 45 51
Investments in debt/equity 26% 27% 22% 30%
Pay Credit Cards 14% 21% 22% 17%
Pay Long-term Notes 15% 12% 11% 12%
Spend Mon. Expenditures 17% 10% 11% 14%
Spend on Durable Goods 12% 13% 17% 13%
Short-term Savings 16% 18% 17% 14%
Percent Saved/Pay Off Debt 55% 60% 55% 59%
Percent to Be Spent 45% 40% 45% 41%
Monthly Amount of $125 $250
n= 45 49 45 51
Investments in debt/equity 22% 21% 20% 30%
Pay Credit Cards 18% 19% 18% 18%
Pay Long-term Notes 16% 8% 15% 12%
Spend Mon. Expenditures 28% 35% 32% 22%
Spend on Durable Goods 11% 8% 8% 9%
Short-term Savings 5% 9% 7% 9%
Percent Saved/Pay Off Debt 56% 48% 53% 60%
Percent to Be Spent 44% 52% 47% 40%
Table 6. Number and Percent of Actual Rebate Allocations,
$300 to $600 Range
# of observations $300 Mid $600
100% spent 14 8 12
Split 8 5 11
0% spent 13 9 26
% observations
100% spent 40 36.36 24.49
Split 22.86 22.73 22.45
0% spent 37.14 40.91 53.06
Table 7. Hypothetical v. Actual Rebate Allocations
(rounded to nearest whole percent)
Rebate Type Hypothetical Actual
Yearly Lump Sum of $300 $600 $300-$600
Government Instruction Spend Spend Spend
n= 48 43 106
Investments in debt/equity 26% 19% 18%
Pay Credit Cards 17% 15% 28%
Pay Long-term Notes 10% 11% 11%
Spend on Monthly Expenditures 11% 18% 9%
Spend on Durable Goods 14% 15% 11%
Short-term Savings 22% 22% 22%
Percent to Be Saved/Pay Off Debt 53% 45% 57%
Percent to Be Spent 47% 55% 43%