Finance 475
Solutions to Problem Set #1
1) Suppose that a BMW costs E 45,000 in Germany and that the current USD/EUR exchange rate is
.7624. Calculate the dollar price of the BMW.
Note that the exchange rate is in terms of Euros per dollar (E/$). Therefore, to get the dollar price, divide by the exchange rate.
45,000 / .7624 = $59,024. Notice the units.....(E/BMW)/(E/$) = (1/BMW)/(1/$) = ($/BMW)
2) Consider the following exchange rates:EUR/USD = 1.2500 ($/Euro)
USD/CAD = 1.1000 (CAD/$)
EUR/CAD = 1.3550 (CAD/Euro)
How could you use this information to make money in the currency markets?
First, calculate the implied cross rate between USD and Euros. 1.355 (CAD/Euro) / 1.10 (CAD/$) = 1.23 ($/Euro). Therefore, the Euro is overpriced
in the market (relative to dollars). Any profitable trade will involve selling Euros and buying dollars. For example:
Start with $1. Now convert to Canadian Dollars $1 x 1.10 (CAD/$) = CAD 1.10. Now convert to Euro...
CAD 1.10 / 1.3550 (CAD/Euro) = .812 Euros. Now Convert to Dollars .812 Euros * 1.25 ($/Euro) = $1.014 (1A 1.4% return).
3) Suppose that you took a short position on 12,500,000 Japanese Yen future (remember, a short
position involves selling Yen) at a price of 104.5 Yen/$. If the spot rate on the contract's expiration date
was 103.45 Yen/$, calculate your profit/loss from the futures contract.
Your short position allows you to sell Yen at a price of 104.5 Yen/$. At a spot rate of 103.45 (Yen/$), you would need to spend
Y12,500,000/103.45(Y/$) = $120,831 to acquire 12,500,000 Yen. Then you would turn around and sell them for 104.5(Y/$) which leaves you with
12,500,000/104.5 = $119,617. This is a loss of $1,214.
4) Consider the following balance of payments data. (in billions of dollars)
|
Merchandise Exports |
$100 (+) |
|
Merchandise Imports |
$125 (-) |
|
Service Imports |
$90 (-) |
|
Service Exports |
$80 (+) |
|
Income received from abroad |
$110 (+) |
|
Income payments to foreigners |
$150 (-) |
|
Increase in US ownership of private assets abroad |
$160 (-) |
|
Increase in foreign ownership of private US assets |
$200 (+) |
|
Increase in home official reserve assets |
$30 (-) |
|
Increase in foreign official assets in US |
$35 (+) |
Assuming that unilateral transfers are zero, find the trade balance, the current account balance,
the capital and financial accounts balance, the Balance of Payments, and the statistical discrepancy.
Trade Balance = Sum of first 4 lines = -$35
Current Account = Sum of first 6 lines = -$75
Balance of Payments = Sum of all 10 Lines = -$30
Statistical Discrepancy = -(BOP) = $30.
5) . Suppose that the U.S. sells F-16 fighter planes to the Israeli government. Explain how this transaction creates
offsetting credits and debits in the Balance of Payments accounts.
The sale of the F-16 will create a (+) in the current account under merchandise exports. This corresponding (-) will be in the capital/financial account. The exact entry will depend on how Israel pays for the plane, but it will be under the heading "Increase in US assets help abroad".