final project paper
TRANSCRIPT
Salome Giorgadze
Lillian Liang
EC393 – A
May 12, 2014
The Financial Crisis and Its Impact on Institutional Aid
I. Introduction
It is no surprise to anyone in America that the cost of attending a private college is on the
rise. According to Professor Ronald Ehrenberg of Cornell University this is not a recent
phenomenon, “for at least a century, tuition at selective private colleges and universities has risen
annually by 2-3% more than the rate of inflation” (2002). However it was not until the 1980’s
that college tuition growth finally exceeded the growth of median family income in America
(Ehrenberg, 2002). As college becomes more difficult to pay for, more undergraduate students
rely on financial aid to pay for tuition. Consequently, about 75% of full-time undergraduate
students in the U.S. receive some form of financial aid from colleges – i.e. institutional grants,
scholarships, work-study, loans (College Board). The countercyclical nature of the demand for
student financial aid poses a related question of whether colleges change their institutional aid
giving during times of financial crisis. The aim of our project is to discover how the Great
Recession of 2008-2009 impacted the amount of institutional aid given to students. We
hypothesized that economic recessions have a negative shock on the amount of institutional aid
colleges provide to their students.
In the subsequent pages we analyze data gathered on forty private liberal arts colleges in
the United States, nine NESCAC colleges and thirty one randomly selected colleges. We look at
real GDP, state unemployment rate, institutional endowment assets from years 2004 to 2011 as
economic variables that impact institutional aid. Additionally we look at institutional expenses
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and institutional enrollment from years 2004 to 2011 and having a need-blind admissions policy
as internal factors that might also influence institutional aid giving.
The pooled data and fixed effects models that we built do not provide ample evidence in
favor of our hypothesis. They provide contrary evidence that being in recession and other
economic conditions are unrelated to the changes in institutional aid for colleges in our sample.
We discovered that enrollment and college expenses (less institutional aid expenditures) are
strong predictor variables for our sample, remaining statistically significant across various
regression models. Some curious findings from our pooled regression included that being a
NESCAC college has a negative correlation with predicted institutional aid and that being a
need-blind school has a positive correlation with predicted institutional aid. In the following
pages we provide a detailed analysis of the models, which offer compelling results that might
support the argument that internal factors are more important than external factors for colleges
when determining the amount of institutional aid to be distributed.
II. Brief Literature Review
Much of the literature that exists in academic and professional journals primarily focuses
on the effect of financial aid packages on student enrollment and retention at universities and
colleges. A relevant piece of literature to our project is “How University Endowments Respond
to Financial Market Shocks: Evidence and Implications” by Jeffrey Brown, Stephen Dimmock,
Jun-Koo Kang, and Scott Weisbenner. One way in which an institution can increase its
endowment is by investing in securities. Thus changes in endowment are sensitive to economic
shocks, which is why we use endowment as an economic indicator. The paper by Brown et al.
(2014) explores the impact of financial markets on the changes in the endowment payout. The
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researchers establish an “endowment hoarding” hypothesis, stating that sometimes universities
prioritize the maintenance of the size of the endowment fund over the functions of the
endowment, which is to contribute financial support to the operations and programs of the
institution. Brown et al. find evidence that the endowment payout rates grow very slowly
following positive shocks to the endowment, while the payout rates decline significantly after
negative shocks to the endowment (followed by adverse market performance). A compelling
finding is that in order to decrease endowment payouts following a negative shock, universities
cut back on the number of tenure-system faculty, whose maintenance is the most important
component of university expenses. This asymmetric response to the negative endowment shocks
is exhibited exclusively by the universities where their current endowment is close its value at
the start of the university president’s term, which supports the endowment hoarding hypothesis.
A separate paper by Bradley and Kofoed (2013), titled “The Effect of Business Cycle on
Freshman Financial Aid,” provides empirical evidence that shows that institutional aid, alongside
with state and parental aid, follows the movement of the business cycle. However, the authors
mention the uncertainty about the changes in institutional aid during the business cycle
movements due to the endowment sizes that they initially encountered. This is a very important
point since colleges with large endowments have other means to compensate and to contribute to
the institutional financial aid during economic declines, while colleges with smaller endowments
are more reliant on their endowments to supply the institutional aid. This ambiguity is
demonstrated in one of their logit models, which shows that when the unemployment increases,
the probability of receiving institutional aid increases. The authors interpret this result as
institutions trying to fill in the gap in the aid for students when parental and state aid decreases.
Similar to these results, Long (2013) notes an increased pressure on the institutions as they
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received more applications and requests to receive more aid directly from the institution during
the crisis. In her analysis she finds that the percentage of institutional grant recipients and the
mean amount of institutional aid did not change in crisis years.
Our research differs from the one done by Brown et al. in that we focus on the impact of
the financial market shocks on different part of the university expenses - institutional grant
expenses. Furthermore, while Brown et al. are preoccupied with an important question of the
relationship between endowment payouts and endowment returns (meaning changes to the
endowment due to portfolio performance), we examine the impact of recent recession on the
institutional financial aid, one of the target activities of the endowment payouts.
Long’s research poses a research question partially similar to ours, exploring the influence of the
Great Recession on college enrollment and costs to the student families. Although the author
considers financial aid as a mixture of finances from different sources, she looks at the
institutional aid separately as well. In comparison to the three papers mentioned above, our
research poses a narrower question and investigates the impact of the Great Recession only on
the institutional aid since we focus on the decisions made solely by the colleges. Our research
allows for identifying relationships between specific variables (external and internal factors) and
the changes in the amount of institutional aid in a broad time frame from 2004 to 2011, which
helps to track the relationships throughout the time in crisis and non-crisis years.
III. Data
For this research we gathered data on forty different not-for-profit private liberal arts
colleges in the United States that offer up to a bachelor’s degree; thirty-one colleges were
randomly selected and nine NESCAC colleges were deliberately included. We collected
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institutional data, such as expenses and institutional grants and scholarships, from the
institutions’ Form 990s from years 2004 through 2011. We collected enrollment data and
endowment assets from The Integrated Postsecondary Education Data System. Ideally we would
like to collect data on what portion of endowment is taken out every year to pay for institutional
grants and scholarships and the investment returns on endowment since it is directly related to
economic conditions. Unfortunately, the Form 990s only provided such data for years 2008 to
2011. However, with whatever data we were able to collect on endowment payout toward
institutional aid, investment returns on endowment, and contributions to endowment, we
analyzed it in a sub-data set. GDP data and state unemployment rates were collected from the
World Bank and Iowa Community Indicators Program database respectively. In order to account
for inflation over the course of 2004 to 2011 we converted nominal dollars into real dollars
measured in base year of 2004. Any dollar amounts we discuss in our models are real dollars.
Primary Data Set Summary Statistics
Sub-Data Set Summary Statistics
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IV. Empirical Work
Primary Model
A. OLS Pooled Regression:
Log(Institutional Aid)i = β0 + β1Log(GDP)t + β2Unemploymentit + β3Enrollmentit +
β4Log(Expenses)it + β5Log(Endowment Assets)it + β6I(Recession) + β7RecessionXLog(Endow)i +
β8I(Need-Blind)i + μ
In the initial pooled regression we wanted to assess whether any of the independent
variables were significant in a random effects scenario. Results for this regression can be found
on page 15, column (1). In this model the recession variable was statistically insignificant,
indicating that being in the recession had no predicted impact on the amount of institutional aid
distributed. The same was true for our interaction variable between recession and log of
endowment assets, which is affected by economic conditions, indicating that there was no
difference between the impact of change in log of endowment assets on institutional aid in
recession versus non-recession years. Furthermore, our state unemployment variable was also
statistically insignificant. Although our recession and unemployment variables were statistically
insignificant, other economic variables, such as log of GDP and log of endowment assets, turned
out statistically significant. We found that a one percent increase in GDP relates to a 1.72 percent
increase in predicted institutional aid, holding all other variables in the model constant, whereas
a one percent increase in endowment assets relates to a 0.18 percent decrease in predicted
institutional aid, holding all other variables in the model constant.
We found the results for log of endowment to be particularly counterintuitive since one
would expect that as endowment assets of a college increase, the institutional aid it distributes
should increase as well. However, we realize that endowment assets may not be an accurate
variable for assessing institutional aid, since it also includes land and building capital. Ideally we
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want to use the portion of endowment that is allocated toward funding institutional aid as one of
our independent variables, in addition to investment returns and contributions to endowment.
Since such data only exists for years 2008-2011, we created a sub-data set for separate analysis.
The results of that analysis can be seen on page 16 and 17 and will be discussed in depth later on.
Other variables that we found to have a statistically significant impact on log of
institutional aid were enrollment, log of expenses, and the college having a need-blind
admissions policy. Unsurprisingly, colleges with a need-blind admissions policy are predicted to
distribute 20.85 percent more institutional aid than colleges without a need-blind admissions
policy, holding all other variables in the model constant. We would expect colleges with a need-
blind admissions policy to be able to admit more students with financial needs and therefore to
pay out more in institutional aid than colleges who limit the number of admitted students who
have financial needs.
From this regression alone we were not able to determine whether the Great Recession
had an impact on institutional aid due to the conflicting findings - i.e. the recession and state
unemployment were insignificant, and log of GDP and log of endowment assets were significant
but their coefficients had opposite signs. Thus we produced a second model that contained
college fixed effects and time trends to see if the significance of any of our independent variables
would change.
B. OLS Pooled Regression and Being a NESCAC College:
Log(Institutional Aid)i = β0 + β1Log(GDP)t + β2Unemploymentit + β3Enrollmentit +
β4Log(Expenses)it + β5Log(Endowment Assets)it + β6I(Recession) + β7RecessionXLog(Endow)i +
β8I(Need-Blind)i + β9I(NESCAC)i + μ
Before we moved on to our fixed effects and time trend model, we were interested in
seeing whether being a NESCAC college had an effect on the amount of institutional aid
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distributed. The results of the pooled regression with the NESCAC indicator variable can be
found on page 15 column (2). The results show that being a NESCAC college is related to a
29.35 percent decrease in predicted institutional aid compared to a non-NESCAC college,
holding all other variables in the model constant. We found this to be quite an alarming statistic,
and it left us wondering whether having a need-blind admissions policy factored in any way.
After the inclusion of an interaction variable between NESCAC and Need-Blind (page 15
column (3)), being a NESCAC college as opposed to a non-NESCAC college related to a 9.8
percent decrease in predicted institutional aid distributed, holding all else constant in the model.
Looking at the interaction variable, we found that being a NESCAC college with a need-blind
admissions policy is related to a 28.64 percent larger decrease in the predicted amount of
institutional grants compared to NESCAC schools without a need-blind admissions policy,
holding all other variables in the model constant. We are unsure of why that is the case, since
the results for this seem quite counterintuitive. We suspect that it may have to do with the size of
endowment at each school and with how each school allocates its funds toward institutional aid.
C. OLS Fixed Effects and Time Trends Regression:
Log(Institutional Aid)i = β0 + β1Log(GDP)t + β2Unemploymentt + β3Enrollmentt +
β4Log(Expenses)t + β5Log(Endowment Assets)t + β6I(Recession) + β7RecessionXLog(Endow) +
β8I(Need-Blind) + β9Time + β10Time2 + μ
In this regression time trends were incorporated to take away any effects that time might
have on other independent variables in the model and to assess whether a time trend existed for
institutional aid. Further we incorporated college fixed effects to control for conditions, such as
being a NESCAC, having a need-blind policy, or attitudes toward institutional aid, etc., that may
vary across different colleges and may have an impact on institutional aid. As shown in column
(6), there exists a quadratic time trend for institutional aid - an additional year relates to an
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increasingly larger predicted percent increase in institutional aid, holding all other variables
constants in the model - i.e. institutional aid is not increasing at a constant rate over time.
After incorporating college fixed effects and time trends, our economic variables that
were once significant in the pooled regression, log GDP and log of endowment assets, became
statistically insignificant. Ultimately none of the variables that are related to economic conditions
are statistically significant, and thus from the evidence in this model we have to reject the
hypothesis that the Great Recession had a negative impact on the amount of institutional aid
distributed.
Interestingly, enrollment and log of expenses continued to be statistically significant
variables in this new regression. After running a college and time fixed effects regression that
continues to be the case. According to the final regression with college and time fixed effects, a
one person increase in enrollment is related to a 0.03 percent increase in predicted institutional
aid, holding all other control variables in the model constant. The direction of this association is
to be expected since as enrollment increases, the number of students who may need financial aid
might increase, and thus colleges might have to distribute more institutional aid. Regarding
expenses the results showed that a one percent increase in expenses relates to a 0.45 percent
increase in predicted institutional aid, holding all other variables in the model constant.
Sub-data Set:
In the analysis of the sub-data set, we developed two models: one with institutional aid as
the dependent variable and the other with grants paid out from endowment as the dependent
variable. Results for the regressions can be found on page 16 and page 17 respectively.
Model 1 with Log of Institutional Aid as Dependent Variable:
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A. OLS Regression With College Fixed Effects and Time Trends
Log(Institutional Aid)i = β0 + β1Unemploymentt + β2Log(GDP)t + β3Enrollmentt +
β4Log(Investment Returns)t + β5Log(Contributions)t + β6Log(Expenses)t + β7I(Recession) +
β8RecessionXLog(Investment Returns) + β9RecessionXLog(Contributions) + β10I(Need-Blind) +
β11Time + β12Time2 + μ
The results from this regression can be found on page 16, column (6). In this regression
it appears that there is a quadratic trend between time and institutional aid. As time goes on, the
predicted percentage of institutional aid distributed increases as well. Having incorporated time
trends, we found that none of the variables that are influenced by the economy had an impact on
the predicted amount of aid distributed with the minor exception of the interaction term between
recession and log of investment returns. The results for the coefficient indicated that a 1%
decrease in investment returns during the recession years is related to a 0.016 percent larger
decrease in the predicted amount of institutional aid distributed as compared to non-recession
years, holding all other variables in the model constant. This finding provides support for our
hypothesis that the Great Recession had a negative impact on institutional aid. It is unclear why
log of investment returns itself is not a significant variable in the regression.
B. OLS Regression with College and Time Fixed Effects
Log(Institutional Aid)i = β0 + β1Unemployment + β2Log(GDP) + β3Enrollment +
β4Log(Investment Returns) + β5Log(Contributions) + β6Log(Expenses) + β7I(Recession) +
β8RecessionXLog(Investment Returns) + β9RecessionXLog(Contributions) + β10I(Need-Blind)+μ
Following the assessment of whether institutional aid followed a time trend, we ran a
regression with college and time fixed effects. Similar to the previous regression, the interaction
term between recession and log of investment returns was statistically significant with a
coefficient of 0.0016. After controlling for college and time effects, the recession variable was
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statistically significant, indicating that being in the recession years is related to a 16.18 percent
decrease in the predicted amount of institutional aid, holding all other variables in the model
constant. The results from this regression provide more evidence to support our hypothesis.
It is important to make a disclaimer that the accuracy of the models and regressions made
with the sub-data is questionable, even though the p-values for the F-statistics are all less
than .05. We suspect that this might be the case since the observations are limited to four years,
two years during the recession and two years after the recession. This dilemma is further
compounded by that fact that there are omitted values in the data set. It is important to keep this
point in mind in subsequent analyses of models made with the sub-data.
Model 2 with Log of Grants Paid Out from Endowment as Dependent Variable:
In this model we were interested to see whether the Great Recession had an effect on the
amount of grants paid out from the endowment. The hypothesis is that the Great Recession had a
negative impact on the amount of grants paid out from the endowment.
A. OLS Regression with College Fixed Effects & Time Trends / College & Time
Fixed Effects
Log(Grants)i = β0 + β1Unemployment + β2Log(GDP) + β3Enrollment + β4Log(Investment
Returns) + β5Log(Contributions) + β6Log(Expenses) + β7I(Recession) +
β8RecessionXLog(Investment Returns) + β9RecessionXLog(Contributions) + β10I(Need-Blind)+μ
The results from this regression can be found on page 17, column (6). In this regression
we denote that there exists a quadratic trend between time and institutional aid. As time
advances, the predicted percentage of grants distributed from endowment increases as well.
Having incorporated time trends, we found that none of the variables that are influenced by the
economy had an impact on the predicted amount of grants distributed from the endowment,
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providing no support for our hypothesis. Though the interaction variable between recession and
log of investment returns is statistically insignificant, log of investment returns on its own is
statistically significant at the 5% level, meaning that a one percent increase in investment returns
on the endowment is related to 0.15 percent predicted increase in grants distributed from
endowment, holding all other variables in the model constant. Results further showed that
enrollment is statistically significant with a one person increase in enrollment relating to a 0.16
percent increase in grants distributed from the endowment, holding all other variables in the
model constant. Similar findings were found in the college and time fixed effects regression.
Results for that can be seen in column (7).
V. Conclusion
It is a common knowledge that the recent financial crisis put more pressure on all parties
involved in financing the cost of education– families, government, and educational institutions.
In our paper we focused primarily on the decisions made by institutions regarding the allocation
of the institutional financial aid to students during years of economic crisis and non-crisis. We
investigated the hypothesis that the recent recession had a negative impact on the amount of the
institutional aid distributed by the colleges in our sample. The results from our primary model
tell a different story than our hypothesis. In all of the regression models we used for the main
data set, the variable recession and the interaction term between recession and log of endowment
were consistently statistically insignificant, having no effect on predicted institutional aid.
Moreover, after controlling for school and time effects, economic variables such as GDP and
state unemployment rate became statistically insignificant in predicting institutional aid. These
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findings suggest that the nation’s economic well-being is irrelevant to the amount of institutional
aid allocated by colleges in our sample.
Importantly, the log of endowment assets was also a statistically insignificant variable in
our primary model. Taking into account the limitations of the variable itself (endowment assets
encompass all of the land, capital, and monetary property), we investigated an additional subset
of data for years 2008 - 2011. In this additional analysis we used the portion of endowment that
is allocated toward funding institutional aid, investment returns on endowment, and contributions
to endowment as independent variables in place of endowment assets. We considered two
different models within this regression – one using log of institutional aid and the other using the
log of grants paid out from endowment as dependent variables. The model with log of
institutional aid provided some evidence that recession was impactful in predicting institutional
aid. However, we question the truthfulness of the results of these models due to the narrow time
frame of the observations and some missing values. Hence we focused our attention on the main
data set.
Though we were unable to find sufficient evidence to support our hypothesis, we did
come across interesting findings. The enrollment and log of expenses variables turned out to be
statistically significant variables in predicting institutional aid. The fixed effects model predicts
that a one person increase in enrollment is related to a .03% increase in institutional aid, holding
all other variables in the model constant. As Long (2013) notes this outcome is to be expected: as
more students enroll in a college, one can expect that the probability that those students will need
some sort of institutional aid will increase. Hence, colleges distribute more institutional aid as
enrollment increases. Moreover, the fixed effects model predicts that a 1% increase in
institutional expenses is related to a .45% increase in predicted institutional aid, holding all other
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variables in the model constant. This is a positive sign for students of the colleges in our sample
since an increase in college expenses does not relate to a decline in the amount of institutional
aid and actually is associated with its increase.
Taken as a whole, our research has produced an interesting model that could help support
the argument that recession itself is not a significant factor in predicting institutional financial aid
unlike other factors, such as college expenses and enrollment.
References[1] Bradley, Elizabeth and Michael S. Kofoed. 2013. “ The Effect of the Business Cycle
on Freshman Financial Aid.”<http://dx.doi.org/10.2139/ssrn.2353847>.[2] Brown, Jeffrey R., Stephen G. Dimmock, Jun-Koo Kang, and Scott J. Weisbenner.
2014. “How University Endowments Respond to Financial Market Shocks: Evidence and Implications.” American Economic Review 104(3): 931-962.
[3] Ehrenburg, Ronald. 2002. “Tuition Rising: Why College Costs So Much.” <http://net.educause.edu/ir/library/pdf/ffp0005s.pdf>.
[4] “Financial Aid: FAQs.” The College Board. <https://bigfuture.collegeboard.org/pay-for-college/financial-aid-101/financial-aid-faqs>.
[5] Long, Bridget T. 2013. “The Financial Crisis and College Enrollment: How Have Students and Their Families Responded?” Unpublished.
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Dependent Variable: Log(Institutional Aid) (1) (2) (3) (4) (5) (6) (7)
VARIABLES PooledPooled+NES
CACPooled+NESCAC
*NB College FE
College FE + Linear
Time TrendCollege FE + Time Trends
College and Time FE
log(GDP) 1.7209** 1.7016** 1.6995** 1.9168*** -0.7874 1.7379(0.7547) (0.7234) (0.7169) (0.3330) (0.8680) (1.6852)
unemployment 0.0043 -0.0000 0.0005 0.0392*** 0.0067 0.0187 0.0166(0.0100) (0.0099) (0.0099) (0.0047) (0.0116) (0.0158) (0.0165)
enrollment -0.0002*** -0.0002*** -0.0002*** 0.0003*** 0.0003** 0.0003** 0.0003**(0.0000) (0.0000) (0.0000) (0.0001) (0.0001) (0.0001) (0.0001)
log(Expenses) 1.3242*** 1.4054*** 1.3989*** 0.3999*** 0.4086*** 0.4222*** 0.4498***(0.1005) (0.0996) (0.0991) (0.1358) (0.1417) (0.1423) (0.1491)
log(Endowment Assets) -0.1846*** -0.1863*** -0.1717*** 0.0162 0.0916 0.0920 0.0486(0.0374) (0.0356) (0.0358) (0.0656) (0.0590) (0.0593) (0.0862)
recession -0.2207 -0.2240 -0.2245 -0.0752 -0.0437 0.0063(0.5768) (0.5215) (0.5162) (0.1431) (0.1512) (0.1515)
recessionXlog(endowment assets) 0.0131 0.0134 0.0135 0.0062 0.0037 0.0050 0.0048
(0.0306) (0.0276) (0.0273) (0.0076) (0.0079) (0.0077) (0.0076)NeedBlind 0.2085*** 0.1136*** 0.2701***
(0.0365) (0.0340) (0.0524)NESCAC -0.2935*** -0.0980**
(0.0480) (0.0488)NESCACXNeedBlind -0.2864***
(0.0700)t 0.0520*** -0.0432
(0.0167) (0.0527)t2 0.0086**
(0.0036)Constant -55.3676** -56.0239** -56.2658*** -49.6099*** 30.5188 -45.8749 6.8420**
(22.7534) (21.7909) (21.5868) (8.7544) (26.3633) (51.9319) (2.8042)
Observations 320 320 320 320 320 320 320R-squared 0.8070 0.8217 0.8251 0.7465 0.7694 0.7777 0.7800Number of id 40 40 40 40
Robust standard errors in parentheses
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*** p<0.01, ** p<0.05, * p<0.1
Dependent Variable: Log(Institutional Aid) (1) (2) (3) (4) (5) (6) (7)
VARIABLES PooledPooled + NESCAC
Pooled + NESCAC*Need
Blind College FE
College FE + linear time
trend
College FE + quadratic time
trendCollege + time
FE
unemployment -0.0845*** -0.1051*** -0.1051*** -0.0104 -0.0104 -0.0104 -0.0104(0.0198) (0.0196) (0.0196) (0.0138) (0.0138) (0.0138) (0.0138)
log(GDP) -11.6666 -7.1991 -7.1991 5.7667*(7.3457) (6.3885) (6.3885) (3.1788)
enrollment -0.0001* -0.0001** -0.0001** 0.0002 0.0002 0.0002 0.0002(0.0000) (0.0000) (0.0000) (0.0002) (0.0002) (0.0002) (0.0002)
log(Investment Returns) -0.0883** -0.0580 -0.0580 -0.0122 -0.0122 -0.0122 -0.0122
(0.0391) (0.0357) (0.0357) (0.0176) (0.0176) (0.0176) (0.0176)log(Contributions) 0.1254*** 0.1101*** 0.1101*** 0.0044 0.0044 0.0044 0.0044
(0.0407) (0.0390) (0.0390) (0.0082) (0.0082) (0.0082) (0.0082)log(Expenses) 0.7184*** 0.7855*** 0.7855*** 0.0795 0.0795 0.0795 0.0795
(0.1226) (0.1121) (0.1121) (0.0492) (0.0492) (0.0492) (0.0492)recession -0.7862 -0.5660 -0.5660 0.0606 0.0122 -0.0226 -0.1618**
(0.6813) (0.5645) (0.5645) (0.0855) (0.0659) (0.0556) (0.0738)recessionXlog(Investment Returns) 0.1001 0.0603 0.0603 0.0161** 0.0161** 0.0161** 0.0161**
(0.0803) (0.0728) (0.0728) (0.0077) (0.0077) (0.0077) (0.0077)recessionXlog(Contributions) -0.0789 -0.0415 -0.0415 -0.0123 -0.0123 -0.0123 -0.0123
(0.0749) (0.0700) (0.0700) (0.0081) (0.0081) (0.0081) (0.0081)NeedBlind 0.1326** -0.1288* -0.1288*
(0.0563) (0.0687) (0.0687)NESCAC -0.3914*** -0.3914***
(0.0858) (0.0858)t 0.0870*
(0.0479)t2 0.0174*
(0.0096)Constant 356.6903 220.7535 220.7535 -159.2849 14.7552*** 14.8596*** 15.0162***
(221.3861) (192.5282) (192.5282) (96.4776) (0.9590) (0.9280) (0.8865)
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Observations 95 95 95 95 95 95 95R-squared 0.8590 0.8822 0.8822 0.7546 0.7546 0.7546 0.7546Number of id 38 38 38 38
Robust standard errors in parentheses*** p<0.01, ** p<0.05, * p<0.1
Dependent Variable: Log(Grants) (1) (2) (3) (4) (5) (6) (7)
VARIABLES PooledPooled + NESCAC
Pooled + NESCAC*NeedBl
ind College FE
College FE + linear time
trend
College FE + quadratic time
trend College + time FE
unemployment 0.0741** 0.0648* 0.0648* 0.1161 0.1161 0.1161 0.1161(0.0353) (0.0373) (0.0373) (0.0897) (0.0897) (0.0897) (0.0897)
Log(GDP)69.9463**
* 71.6470*** 71.6470*** 29.4313**(19.0182) (18.9030) (18.9030) (14.4025)
Enrollment -0.0002** -0.0002** -0.0002** 0.0016* 0.0016* 0.0016* 0.0016*(0.0001) (0.0001) (0.0001) (0.0009) (0.0009) (0.0009) (0.0009)
log(Investment Returns) 0.3799*** 0.3927*** 0.3927*** 0.1517** 0.1517** 0.1517** 0.1517**(0.1072) (0.1076) (0.1076) (0.0716) (0.0716) (0.0716) (0.0716)
Log(Contributions) 0.3100*** 0.3002*** 0.3002*** -0.0026 -0.0026 -0.0026 -0.0026(0.1000) (0.0992) (0.0992) (0.0647) (0.0647) (0.0647) (0.0647)
Log(Expenses) 0.3246 0.3611 0.3611 2.3346 2.3346 2.3346 2.3346(0.2586) (0.2607) (0.2607) (1.6813) (1.6813) (1.6813) (1.6813)
recession 1.1296 1.2159 1.2159 0.2153 -0.0318 -0.2094 -0.9197(1.2954) (1.3019) (1.3019) (0.8638) (0.8270) (0.8108) (0.8379)
recessionXlog(Investment Returns) 0.1364 0.1209 0.1209 0.0049 0.0049 0.0049 0.0049
(0.1400) (0.1410) (0.1410) (0.0722) (0.0722) (0.0722) (0.0722)recessionXlog(Contributions) -0.1041 -0.0897 -0.0897 0.0382 0.0382 0.0382 0.0382
(0.1547) (0.1545) (0.1545) (0.0901) (0.0901) (0.0901) (0.0901)NeedBlind 0.0227 -0.0668 -0.0668
(0.1611) (0.1860) (0.1860)NESCAC -0.1423 -0.1423
(0.1541) (0.1541)t 0.4439**
17 | P a g e
(0.2172)t2 0.0888**
(0.0434)
Constant
-2,115.566
2***
-2,167.4698
*** -2,167.4698*** -922.6715** -34.4240 -33.8913 -33.0922(573.0553
) (569.6529) (569.6529) (435.0604) (30.3470) (30.3539) (30.3685)
Observations 89 89 89 89 89 89 89R-squared 0.9046 0.9052 0.9052 0.2529 0.2529 0.2529 0.2529Number of id 35 35 35 35
Robust standard errors in parentheses*** p<0.01, ** p<0.05, * p<0.1
18 | P a g e