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<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>Andrey Maksimov[</journal-title>
      </journal-title-group>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>Do Students Expect Any Returns on Effort Applied to Studying? An Econometric Analysis of Determinants of the Amount of Expected Wage after Graduation</article-title>
      </title-group>
      <contrib-group>
        <aff id="aff0">
          <label>0</label>
          <institution>National Research University Higher School of Economics</institution>
          ,
          <addr-line>Nizhny Novgorod</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
      </contrib-group>
      <pub-date>
        <year>0000</year>
      </pub-date>
      <volume>0001</volume>
      <abstract>
        <p>Students' perception of the labor market makes a great deal in students' decisions concerning effort to study, work during university studies, etc. The aim of the research is to define whether students identify significant returns on effort with respect to wage after graduation. Moreover, it seems reasonable to single out other factors that students expect to influence their wage significantly. With the use of the data of Russian students' questionnaire conducted in 2012 within the framework of the Monitor of Economics of Education project the regressions with the use of instrumental variables and stochastic frontier approach are estimated. The results suggest effort is considered as an influential factor in determining wage by Russian students if students' incomplete awareness about labor market is taken into account. Besides, university quality, abilities, wage received by working students, region, specialty, family's income and gender make the difference in the amount of wage expected by students. For additional analysis the 20% and 80% quantile regressions are built. According to the results, persons having the highest wage forecasts base them on the amount of wage offered to working students on the labor market and do not correct them subject to their effort, university quality and abilities. At the same time another group of students, keeping similar basis for expectation formation as a previously analyzed group, expect significant contribution of effort and abilities.</p>
      </abstract>
      <kwd-group>
        <kwd>expected wage</kwd>
        <kwd>wage after graduation</kwd>
        <kwd>returns on effort</kwd>
        <kwd>quantile regression</kwd>
        <kwd>stochastic frontier approach</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>Expectations are the base of decisions and actions of persons. One of the key
decisions during university studies is time allocation between study, work and
leisure. One can assume that among the determinants of students’ time
allocation are their wage expectations, in particular, expectations about factors which
contribute to wage after graduation. For instance, effort dedicated to study,
university quality, working experience can be among the factors that are expected
to influence wage after graduation. If a person supposes that his/her effort to
study influences in a great extent the wage after graduation then he/she will
decide to spend more time studying. If a student expects that university quality
makes a great deal in his/her positions on the labor market after graduation and
determines his/her wage then he/she probably will dedicate less effort to
studying relying on university reputation on the labor market. In the case a student
thinks working experience is the most valuable asset to an employer and
studying in a university is just a social norm or parents’ wish then he/she will also
spend as less time studying as possible. Thus, having known the relevance of
effort to study in determining student’s positions on the labor market assumed by
students, undertaking appropriate measures, for instance inviting employers to
make a talk about vitality of knowledge got in university, can stimulate students
to dedicate more time to study. This can be treated as an argument
supporting the relevance of the research. Consequently, the aim of the research is to
determine the influence of their effort on wage after graduation as expected by
students. Moreover, it makes sense to reveal other factors, which students
suppose to influence their wage after graduation, and measure the degree of their
influence.</p>
      <p>The research is based on the data of Russian university students’
questionnaire in 2012 conducted within the framework of project Monitor of Economics
of Education organized by National Research University Higher School of
Economics, the analytical center of Yurij Levada under control of the Ministry of
Education of Russia. The dependent variable is the amount of expected wage of
Russian university students. The authors analyze the factors that are
traditionally considered in this kind of research among which are gender, year of study,
family’s disposal income, specialty, region. The list of regressors is supplemented
by the proxies for effort, university quality, abilities and the amount of wage
received by working students. Regression approach is applied to the conditional
expectation of the dependent variable and 20% and 80% quantiles of the
distribution. The said approach includes estimation with the use of instrumental
variables and stochastic frontier method which is used to control for students’
inefficiency in estimates and limited knowledge about labor market.</p>
      <p>The results suggest the existence of the difference of expectation formation
between two groups of students with the lowest and the highest wage
expectations. The latter build their expectations on the amount of wage they are offered
working during studies. They do not associate the variability of the sum of wage
after graduation with the amount of effort applied to studying and university
quality. Abilities are not a significant factor as well. They are the students
already having a well-paid job to the time they enter university. They usually do
not apply much effort. Persons with the lowest wage expectations also take into
account the wage offered to working students but still they assume effort makes
the difference in formation of wage after graduation. So do abilities. University
quality is also not admitted as significant in explanation of variation in values
of expected wage of this group of students.</p>
      <p>The results of the regression for all students of the sample propose effort,
university quality, abilities and wage of working students are significant if we
take into account “individual inefficiency”. In terms of the above stated aim
of the research, it means that students realize vitality of their effort for their
positions on the labor market. Thus, it is worth to coordinate university policy
so that it drives students’ decisions to work harder which, in turn, will result in
benefits for both students and university.</p>
      <p>Having revised the factors influencing students’ wage forecasts we have
realized that the parameter is prone to labor market shocks connected with changes
in an average level of wage and that offered by employers to students; fiscal
shocks expressed in variations in transfers and tax rates; personal shocks that
cover all possible changes in life of a student, his/her preferences, perception of
labor market, etc.</p>
      <p>Section 2 gets through the literature on the research question. Section 3
reveals methodological and data aspects. In section 4 the results are presented
and discussed. Section 5 discusses the influence of different kinds of shocks on
students’ wage expectations. Section 6 provides a conclusion.
2</p>
    </sec>
    <sec id="sec-2">
      <title>Literature Review</title>
      <p>The pool of research conducted on the data of different countries (USA,
Denmark, Czech, Britain, Cyprus, Switzerland, etc.) found the similar set of variables
determining the expected wage after graduation and revealed similar patterns
of influence of the factors on the dependent variable. The findings can be
summarized as follows.</p>
      <p>
        Firstly, scholars point out that wage expectations play a great role in
decisionmaking concerning specialization of studying and choosing the amount of effort
to study [
        <xref ref-type="bibr" rid="ref18 ref19 ref6 ref8 ref9">6, 8, 9, 18, 19</xref>
        ].
      </p>
      <p>
        Secondly, younger students have higher expectations about wage after
graduation than elder ones. This is explained either by the rate of inflation taking into
consideration by younger students or by the fact that they do not have enough
information about labor market [
        <xref ref-type="bibr" rid="ref5 ref6 ref7">5–7</xref>
        ].
      </p>
      <p>
        Thirdly, female students have lower expectations about wage after graduation
in comparison with male students [
        <xref ref-type="bibr" rid="ref10 ref4 ref6 ref7">4, 6, 7, 10</xref>
        ].
      </p>
      <p>
        Fourthly, high family income increases students’ wage expectations [
        <xref ref-type="bibr" rid="ref1 ref14 ref6">1, 6, 14</xref>
        ]
relatively to persons from low-income families who tend to underinvest in their
education because of significant financial resources deficiency etc. [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ].
      </p>
      <p>
        Fifthly, specialty, level of parent’s education, abilities and working experience
are also among factors influencing students’ expectations about wage [
        <xref ref-type="bibr" rid="ref11 ref14 ref5 ref7">5,7,11,14</xref>
        ].
      </p>
      <p>
        The researchers provide controversial evidences concerning accuracy of
students’ wage estimates. [
        <xref ref-type="bibr" rid="ref10 ref15 ref16 ref17 ref19 ref6 ref9">6, 9, 10, 15–17, 19</xref>
        ].
      </p>
      <p>It is necessary to mention that despite the fact that the influence of wage
expectations on students’ decisions about the amount of effort allocated to study
is accounted by scholars, the contribution of effort to wage assumed by persons
is not mentioned or verified. Furthermore, the influence of university quality on
students’ wage expectations has not received enough attention. Our research is
aimed at filling the gaps.
3</p>
    </sec>
    <sec id="sec-3">
      <title>Methodology and Data</title>
      <p>We are going to consider the following determinants of the amount of expected
wage in the research1 (Table 1):
1 The descriptive statistics of variables under consideration is presented in Table 3 in
Appendix (except dummies)</p>
      <p>It is necessary to mention that because of the fact that effort, university
quality, working experience and abilities are latent or vague to interpret we use
proxy variables mentioned in the table instead of them. As for effort, it might
be argued that it is necessary to use the overall studying time which includes
time spent on lectures and seminars and time to self-education and preparation
of tasks. However, the former depends not only on student’s willingness to study
but also on time of commuting to studies and other factors. At the same time, one
might suppose that the latter clearly demonstrates student’s effort to understand
a discipline. Evidently, we need to control for abilities here. Certainly, exam
results depend not only on person’s abilities but also on his/her characteristics,
for instance concentration, stress resistance, self-confidence, etc., and teacher’s
effort. Nevertheless, the existence of positive correlation between exam results
and abilities justifies using the chosen proxy. As for university quality, we suppose
that demand on university educational service clearly reflects the quality of that
service. We consider share of students from other regions arrived to study in a
particular university as a parameter revealing demand on university educational
services. However, this parameter demonstrates not only quality of university but
also quality of region in comparison with native one for an individual. However,
positive correlation between university quality and share of students from other
regions is an argument in favor of using the aforementioned proxy for university
quality. Working experience can be treated in terms of its presence or not, years
of working, years of working on specialty, whether work on the last workplace
is connected with specialty, etc. We take into consideration the first meaning.
In addition to this, we take into account amount of wage a student receives
working during studying because probably this value will be, firstly, the base
for formation of wage expectations, secondly, it probably will be his/her reserve
wage entering labor market after graduation.</p>
      <p>For the purpose of our research we use the data of students’ questionnaire
conducted in the framework of the Monitor of Economics of Education by NRU
Higher School of Economics together with the analytical center of Yurij Levada
under control of the Ministry of Education of Russia in 2012. It is necessary
to point out that the sample includes only bachelor students whose study is
financed by the government. This is the limitation of the research. The final
sample includes 553 observations.</p>
      <p>The dependent variable is logarithm of expected wage after graduation (ln_w2).
4</p>
    </sec>
    <sec id="sec-4">
      <title>Results</title>
      <p>Having conducted the regression analysis with the use of two-step least squares
method, we chose the following regression specification (1) basing on
econometric criteria and theoretical assumptions. The results are presented in Table 2
(Column “IV”).</p>
      <p>ln_w2i =</p>
      <p>0 + 1t_selfi + 2t_selfi2 + 3share_oregioni +
+ 4femalei + 5year_of_studyi + 6ydi + 7techni +
+ 8pedi + 9medi + 10Moscowi + 11w1i + 12ege_avi + "i (1)</p>
      <p>Firstly, it is necessary to point out the presence of endogeneity in the model
with endogenous variables of time dedicated to self-education and the square
of that variable. The reason is that not only effort expressed by the
endogenous variables has a presupposed influence on wage but wage expectations do
affect effort stimulating or de-stimulating a student. An instrumental variable is
amount of time allocated to writing course papers, a bachelor project, etc. The
instrument is correlated with amount of time for self-education as far as they
characterize a student as more or less diligent. However, the amount of time for
writing course papers, etc. is hardly connected with expected wage.</p>
      <p>The results correctly reflect labor market trends in Russia. In particular,
according to the estimates, wage expectations of Moscow universities students
2 sigma_v denotes the estimate of standard deviation of the stochastic component i
3 sigma_u denotes the estimate of standard deviation of the stochastic component ui
4 LR test of sigma_u = 0: Prob chibar2 = 0:008
are approximately 40% higher than that of students of other universities. In
addition to this, despite the influence of specialty on value of expected wage is
insignificant, the signs of coefficients are correct. In particular, technical specialty
increases while pedagogical and medical specialties decrease the level of expected
wage in average in comparison with graduates of other specialties.</p>
      <p>Furthermore, tendencies mentioned in other research works are supported
by our results. The coefficient reflecting the influence of years of study on wage
has a negative sign. The fact means that students of earlier years of studies
expect to receive higher wage after graduation than elder students. Gender has
negative wage contribution for female students as have been already noticed by
researchers. The influence of family’s disposal income on the amount of expected
wage is also in correspondence with findings of other researchers.</p>
      <p>The influence of share of students from other regions and average exam score
on the value of expected wage match with the theoretical rationale. In particular,
according to the estimates, higher university quality and higher abilities result in
increase in the amount of expected wage. Although the coefficient of the variable
of time dedicated to self-education turned to be insignificant, we leave it in the
regression as far as it is in the focus of study. Moreover, we assume the effect of
the proxy variable for effort on wage to be nonlinear.</p>
      <p>For the purpose of the research the regressions for 20% and 80% quantiles
of the dependent variable are considered (Fig. 1). The aim is to check whether
the influence of effort on expected wage differs for the abovementioned groups of
individuals with high and low values of expected wage. The results are in Table
2 (Columns “Quantile regression, 20%”, “Quantile regression, 80%”).</p>
      <p>In general, the estimates of the coefficients are rather similar in the
regressions. However, there are some differences in the influence of time to
selfeducation, average exam score, wage for working students and medical specialty
on the dependent variables in regressions for 20% and 80% quantiles. The
coefficient of the variable w1 in the regression for the group of students expecting
the highest wages after graduation is greater than in the regression for students
from another group. In addition to this, students constituting 80% quantile of
the dependent variable do not assume any significant influence of effort to study,
university quality and their abilities on their wage. If it turns to individuals
with the lowest wage expectations, this group of students is characterized by
significant influence of effort and innate abilities on the amount of wage.</p>
      <p>
        To sum up, students do differ in the way they form their expectations and the
weights they associate with factors of the amount of expected wage. Speaking
about students expecting high wages after graduation, they evidently base their
forecasts on the wage they get working in university. Students from the cohort
with the lowest expectations also pay attention to the amount of wage they
receive working during university studies in formation of their wage predictions.
Nevertheless, they expect positive returns on effort and abilities with respect to
wage after graduation. In order to find explanations for the existing difference
in formation of wage forecasts we will analyze the two groups of students in
more details. It is necessary to pay attention to the fact that the majority of
individuals belonging to the group with the least wage predictions are not
students of Moscow universities. In addition to this, there are much more students
of technical specialties (18%) among the students with the highest 20% of wages
than in the group of students with the lowest 20% of wages (10% of students
are getting technical specialty). At the same time, the former group includes
significantly less amount of students of pedagogical specialty (0.84%) than the
latter group (4.4%). Moreover, it is interesting to notice that the average amount
of time dedicated to self-education by this group of students (11.19 hours in a
week) is higher than the average amount of time to self-education of students
with the highest wage expectations who in fact attribute no significance to the
influence of effort on wage (10.12 hours a week). Finally, the average wage of
working students in the group of individuals with the highest 20% of expected
wages is approximately equal to 21,000 rubles that is almost two times greater
than the average wage of the last 80% of students which is around 12,000 rubles.
Thus, we can conclude that students forming the group with the lowest wage
expectations are persons who are studying not in Moscow, who are getting
pedagogical specialties; they mainly do not receive high wage working during studies
and pay quite a lot of attention to study. The group of students expecting to
get the highest wages after graduation includes students of technical specialties
and students who already have a well-paid job and do not apply too much effort
to study. The effect mentioned in the last sentence has been already noticed by
the statisticians of the Ministry of Education of Russia and is also described
in the publication of the media source “Komsomolskaya Pravda” [
        <xref ref-type="bibr" rid="ref13">13</xref>
        ]. They call
the reader’s attention to the fact that students of universities demonstrating low
quality of education and having low ranks according to the official university
rankings get the highest wages after graduation. The author of the publication
comments that this kind of universities are highly attractive to individuals who
already have a substantial working experience but they need a university diploma
for further career promotion. They usually work full-time and do not have an
opportunity and willingness to study hard.
      </p>
      <p>
        One can think of fallacies of particular individuals which can be expressed
in incorrect knowledge about “law” of wage formation on labor market, wrong
assumptions about value of particular skills and knowledge of an individual to
an employer, errors in estimates of time allocated to self-education etc. These
are named as “individual inefficiency” [
        <xref ref-type="bibr" rid="ref12 ref2 ref20 ref3">2, 3, 12</xref>
        ] and can be taken into account
with the use of stochastic frontier regression. The idea of the approach is in
considering noise as consisting of two components: one is a traditional
stochastic component that is assumed to be normally distributed i, another reflects
individual inefficiency ui and usually is assumed to be distributed either
according to truncated normal or exponential distribution functions. The classical
formulation of regression specification is expressed by equation
(2)
(3)
yi =
+ Xi0 + i
ui;
where i = 1; : : : ; n, i iid N (0; 2)5, ui iid N+ 0; u2 6 or ui iid
exponential. The fact is that the idea of stochastic frontier was firstly presented for
application to estimation of a production function. It was assumed that firms
demonsrate inefficiency for some reasons and are not able to reach the
maximum of their production opportunities. Thus, an inefficiency component has a
negative sign because of the assumption that it always results in decrease of
firm’s production. However, things differ in our case. Student’s inefficiency can
lead either to increase of the value of expected wage or decrease in comparison
with the level of “justified expected wage”. Consequently, we need to introduce
changes in the regression specification according to equation
yi =
      </p>
      <p>+ Xi0 + i + ui
where i = 1; : : : ; n, i iid N (0; 2), ui iid N+ 0; u2 or ui iid exponential.
The estimation results are presented in Table 2 (Column “Stochastic frontier
approach”). We considered an inefficiency term to be distributed exponentially.</p>
      <p>According to the results, all variables do significantly influence the
dependent variable except the dummy variable for medical specialty. However, taking
into consideration specific features of the Russian labor market we will leave
this variable in the regression. It is easy to notice that an average student pays
attention to his/her current wage, corrects his/her expectations subject to time
dedicated to self-education and university quality. Abilities also matter in
formation of wage predictions. Influence of other variables on value of expected
5 N (0; 2) denotes normal distribution with mean value equal to 0 and dispersion
equal to 2
6 N+ 0; u2 stays for zero-truncated normal distribution with mean value equal to 0
2
and dispersion equal to u
wage after graduation is in agreement with the stylized facts, perception of their
interrelation and findings of other researchers.</p>
      <p>It is necessary to mention that the stochastic frontier approach has been
developed for production function modelling based on the idea of uniformity
of technological process. Using this approach in the research we propose that
students form their expectation in the same manner, or in other words, having
the same “rule” in their head. This is evidently the limitation of our research.
5</p>
    </sec>
    <sec id="sec-5">
      <title>Discussion</title>
      <p>It seems interesting to think of factors that may change student’s expectations,
or in other words, kinds of shocks that can affect value of expected wage after
graduation. Turning to the list of independent variables that are considered in
the regression analysis we can divide them into several groups.</p>
      <p>Firstly, it is possible to single out fixed factors, which do not change, and
conditionally fixed factors, which value can be assumed permanent under somewhat
conditions. The former group includes gender and abilities. Specialty, region and
university quality can be attributed to the latter group. The structure of data
and the scope of the research allow to think that students do not change their
specialty or university if they have chosen it once. We also do not consider the
case of students’ expulsion. Moreover, university quality is suggested to be
constant in short run and change in long run gradually as a result of substantial
changes in university policy if they take place.</p>
      <p>Secondly, it is possible to account for variable factors of expected wage
formation.</p>
      <p>It goes without saying that along with growth of a person and increase in
the number of studying years, insights about labor market advance and become
more realistic.</p>
      <p>Wage offered to working students on labor market is often regarded as a
benchmark for formation of wage forecasts. That is why revision of value of
students’ labor implemented by employers will lead to reassessment of wage
after graduation.</p>
      <p>Family’s disposal income amounts to parent’s wages considering transfers
and taxes. Consequently, changes in this parameter may be attributed either to
labor market or fiscal shocks that can be the result of changes in the economy
in a whole or in the state of a particular region. These alterations will supply
variations in expectations concerning wage after graduation.</p>
      <p>An individual can apply more or less effort to study that is measured by
the amount of time dedicated to self-education in our research. This parameter
can undergo substantial and sudden shifts during the period of study driven by
rearrangement of person’s preferences. Keeping assumed contribution of effort to
wage constant, changes in amount of time devoted to self-education can initiate
shifts in anticipated amount of wage that will be offered to a student after
graduation. At the same time it is necessary to keep in mind that wage beliefs
themselves play a significant role in decision about amount of effort. This means
that if wage expectations are revised by a student due to changes on labor market
or in economy in general then a person is to correct the expected contribution
of effort and knowledge to wage after graduation and finally to redefine the time
allocation between self-education, lectures and seminars attendance, work and
leisure.</p>
      <p>All in all, the amount of expected wage after graduation is susceptible to the
influence of several kinds of shocks. They are the following:
– labor market shocks expressed in changes of wage offered to students and
overall level of wage as well as changes in value of graduates’ knowledge to
employers foster adjustments in the level of expected wage after graduation;
– fiscal shocks, in particular, changes in transfers and tax rates may also lead
to revision of expectations of all economic agents in general and reevaluation
of expected wage by students too;
– individual shocks associated with alterations in personal life of an individual,
in his/her point of view, preferences may result in changes in the amount of
effort to study or redefining of the role of factors in the law of the expected
wage formation and reassessment of level of expected wage after graduation
as a consequence.</p>
      <p>Additionally, it seems reasonable to point out that any changes in the
principles of building wage forecasts, in perception of labor market, will cause not only
changes in expected wage itself but also in the amount of effort taken because
of their interdependence.
6</p>
    </sec>
    <sec id="sec-6">
      <title>Conclusion</title>
      <p>Formation of wage expectations of Russian university students is scrutinized in
the paper. Apart from the traditional for this kind of research factors of expected
wage, the authors analyze the influence of effort, university quality, abilities and
working experience on value of the dependent variable. Two different ways of
expectation formation can be detected for 20% of individuals with the highest
and 20% with the lowest wage expectations. The latter are not studying in
Moscow in majority. Effort is recognized as decisive by individuals from the
second group. They also take into consideration the wage they get working during
university studies; abilities do also influence the value of expected wage of this
group of students. The primary role in formation of the highest wage expectations
is played by the wage offered to working students. Effort and abilities do not
influence the expected wage of this group of students. Thus, the evidence is
provided for the fact that the highest wage expectations in Russia have students
who are having a well-paid job, apply mostly to low quality universities and
devote as less effort to study as possible to get a diploma.</p>
      <p>If we consider all the students together estimating the regression for the
conditional expectation of the dependent variable then it appears that time
allocated to self-education characterizing student’s effort has a distinct influence
on the amount of expected wage in the case we account for inefficiency of students
connected with their limited awareness about labor market.</p>
      <p>Returning to the research question, we may conclude that an average student
expects his/her effort positively affects the amount of wage he will be offered
after graduation. So do the students outside the Moscow region having the lowest
wage expectations. Thus, it makes sense for university to take actions towards
rising students’ effort and stimulate them to allocate more time to study. In
general, it will result in improvement of quality of university graduates and will
have positive impact on university reputation.</p>
      <p>Additional analysis suggests the existence of several kinds of shocks that may
affect the amount of expected wage after graduation, in particular, labor market,
fiscal and individual shocks.</p>
    </sec>
    <sec id="sec-7">
      <title>Appendix</title>
      <p>w1
9.882
8.294
11.918
ege_av</p>
    </sec>
  </body>
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