Return to problem 14 and notice that, to complete the model described there, we must add the interest parity conditions. Observe also that if $Y^{f}$ is the fullemployment output level, then the long-run expected exchange rate, $E^{e}$, satisfies the equation: $Y^{f}=\left(a E^{e}+I+G\right) /(s+m)$. (We are again taking investment $I$ as given.) Using these equations, demonstrate algebraically that if the economy starts at full employment with $R=R^{*}$, an increase in $G$ has no effect on output. What is the effect on the exchange rate? How does the exchange rate change depend on $a$, and why?