Methodology
2025
Administrative University Application Data
Firm-level Data for Free Trade Zone Regime
Using a Gravity Model approach, I construct a district-year MNC Presence Index as follows:
\[\begin{align*} \Gamma_{djt} = \sum_{d'} \dfrac{tenure_{j \in J, d't}}{exp(\tau^{dd'})} \end{align*}\]
Subscripts
\(d =\) student’s district, \(d' =\) firm’s district, \(j \in J\) firm \(j\) in industry \(J\), \(t =\) year
Individuals choose a field-of-study subject to the utility function:
\[\begin{align*} U_{im} = \alpha_{c} + \alpha_{t} + \beta_{mj} \Gamma_{djt} + \gamma X'_{i} + \varepsilon_{im} \end{align*}\]
Subscripts
\(i = \;\) individual, \(\; m = \;\) field-of-study, \(\; c = \;\) canton, \(\; t = \;\) year
Multinomial Logit (MNL) model of the following equation:
\[\begin{align*} P(Y_{i} = m) = \dfrac{ \overbrace{exp(\alpha_{c} + \alpha_{t} + \beta_{mj} \Gamma_{djt} + X'_{i}\gamma + \varepsilon_{im})}^{\text{Utility of chosen field-of-study}} }{ \underbrace{\sum_{m'} exp(\alpha_{c} + \alpha_{t} + \beta_{m'j} \Gamma_{djt} + X'_{i}\gamma + \varepsilon_{im'}))}_{\text{Utilities across all possible field-of-study choices}} } \end{align*}\]
FDI & College Major Choice | JMP