e. Which policies would the Argentinian government have had to engage in at that
point in time to maintain its exchange rate regime, given that the Brazilian currency
had lost value?
f. Many journalists suggest that the Brazilian economic collapse in 2002 was actually
due to the recession in Argentina, where Argentine consumers cut back on their
consumption. How might this have lead to the crisis in Brazil? Use the Y/Y* diagram
to explain your answer.
6. Repercussions. Assume two large countries, Cascadia and Sierra. The real exchange
rate is fixed. Cascadia’s economy is described by the following equations:
Consumption C = 220 + 0.7(Y–T)
Investment I = 200
Government spending G = 100
Tax T = 100
Imports M = 100 + 0.2Y
Exports X = 100 + 0.2Y* – Y* is Sierra’s income –
The economy is in equilibrium when income Y = C + I + G + X – IM. The specifications
for the equations in Cascadia are identical to those of Sierra, i.e. they share the same
values for the coefficients and the exogenous variables. As a result, Sierra’s model is
derived from the above model by taking all the asterisks from the variables with
asterisks and adding asterisks to the variables without asterisks.
a. For each country solve for equilibrium income as a function of the other country’s
income.
b. Now you have derived a system of 2 equations with 2 unknowns (Y and Y*)
Solve this system to obtain the simultaneous equilibrium income (a single number for
each country) in each of the two countries.
c. Illustrate your results on the graph below with Y on the Y-axis and Y* on the Y*-axis.
Draw curves I (for Cascadia) and II (for Sierra) corresponding to the above
equations. Report the value of the intercepts and of the slopes and show the joint
simultaneous equilibrium E for the two countries.
d. Calculate the balance of trade for each country.
e. Now assume that Cascadia uses expansionary fiscal policy: it increases G by 100.
Show the effect on the above graph: the shift(s) of the relevant curve(s) and the
new joint equilibrium income in E¢.
f. Calculate the small open-economy multiplier mso. This multiplier allows you to
calculate by how much Y increases when G increases, assuming that Cascadia is
small and cannot affect Sierra (i.e. no repercussions and Y* does not change). So
the increase in Y calculated with the small open-economy multiplier corresponds to
the shift of Cascadia’s Y=f(Y*) curve (it is the increase in its intercept).
g. What are the equations for curve I (Cascadia) and for curve II (Sierra) after
Cascadia’s fiscal expansion? What are the repercussions of Cascadia’s
expansionary fiscal policy on Sierra’s income Y*?
h. Calculate the multiplier for the large open-economy mlo for Cascadia using the
equation in the chapter and use the multiplier to calculate the new level of
Cascadia’s income. Then calculate Sierra’s corresponding income after the
repercussions have worked their way through and the two economies have reached
a new simultaneous equilibrium.
i. Calculate the new balance of trade for each country.
Advanced:
j. Assume that Cascadia has a target level of output of 2,000. Assuming that the
foreign government does not use any fiscal policy, what is the increase in
government spending G in Cascadia necessary to achieve their target output?