\begin{equation}
\Delta \ln \left( \frac QL\right) _{0,T} =
  c_0 %+ \beta \left( \frac QL\right) _0
  + \gamma \left( \frac{I^G}Q\right) _{0,T}
  + \delta
\end{equation}
The price and demand elasticities can now be \textit{calculated by}:
\begin{equation}
\varepsilon _{Cj} =
  \dfrac{\partial \ln C^{*}}{\partial \ln j} =
  \dfrac{\partial C^{*}}{\partial j}\dfrac j{C^{*}}
\end{equation}

