b. The supply of euros to the U.S. is derived from the foreign demand for U.S. Macs.
Fill in the table opposite and use it to construct the foreign demand for U.S. Macs
(the U.S. supply of exports) and the U.S. supply of euros.
Plot the relevant numbers on the following two graphs:
i. The foreign demand for Macs (PMac in euros on the vertical axis and QMac on the
horizontal axis).
ii. The supply of euros to the United States.
Is the supply of euros always upward sloping? Why or why not? Calculate the arc
elasticity of foreign demand between I and J.
c. Put together the market for foreign exchange (S and D) and show the equilibrium
exchange rate and the equilibrium quantity of e traded. What is the equilibrium
exchange rate?
E ($/e) PMac in $ € PMac in e Supply for e X of Macs (Quantity) Value of X in e
F 0.9 2,000 1000
G 1 1200
H 1.1 1400
I 1.2 1600
J 1.3 1700
d. Now assume that, as a result of a change in taste, the U.S. public shifts some of its
demand for cars from VWs to domestically produced Saturn. Show the impact on
the foreign exchange market above. What happens to the U.S. exchange rate ($/e)?
e. Let us now assume that the U.S. and the Europeans agree together to peg their
exchange rate at the level calculated in (c.). What happens to the exchange rate
when the U.S. demand for cars shifts as in (d.) from European to U.S. cars?
f. Explain carefully the intervention process. What happens to the Federal Reserve
Bank’s foreign reserves? What is the impact on the money supply?
g. Finally, the Federal Reserve could counteract its effect on the money supply by
using monetary policy. Describe the necessary open market operation.
4. Assume that the exchange rate between the euro and the pound is 1.5e/£ originally.
Then the euro depreciates by 25 percent against the pound. The price of exports is e1
while the price of imports is £1. Due to the depreciation, European exports to the U.K.
increase from 10 to 11 and its imports drop from 10 to 9.
a. What happens to the European balance of trade with the U.K.? Calculate the
change in the European balance of trade.
b. Estimate the relevant elasticities (arc elasticities) to test whether the Marshall–
Lerner condition is met.