MGMT 4670
Foreign Exchange Problem Answers

1)  Given the following spot exchange quotes:


Bid
Ask
British Pound in United States Dollars
$1.99
$2.00
French Franc in United States Dollars
$0.200
$0.201
British Pound in French Francs
FF10.8
FF11.0

At a bid price of 1.99 $/£ and 0.2 $/FF the implied bid price of FF/£ = 1.99/0.2 = FF9.95.  Similarly, at an ask price of
2.00 $/£ and 0.201 $/FF the implied ask price of FF/£ = 2.00/0.201 = FF9.950249.  Therefore the French franc is overvalued compared to dollars and pounds.  To take advantage of this disequilibrium convert dollars to pounds, pounds to francs and then francs back into dollars:  
$10,000 / 2.00 = £5,000
£5,000 x 10.8 = FF54,000
FF54,000 x 0.200 = $10,800
The resulting profit is $10,800 - $10,000 = $800.

2)  
a)  First convert the $1,000,000 to £500,000 and deposit the funds in a British bank.  At the same time set up a forward contract to sell pounds at $2.00.  At maturity your deposit will be £500,000 x 1.04 = £520,000.  Exercise the forward contract:  £520,000 x 2.00 = $1,040,000.  You realize a profit of $40,000.  If the funds were left on deposit in the United States the value at maturity would have been $1,000,000 x 1.02 = $1,020,000, a differential of <$20,000>.

b)  First convert the $1,000,000 to £497,512 and deposit the funds in a British bank.  At the same time set up a forward contract to sell pounds at $1.99.  At maturity your deposit will be £497,512 x 1.035 = £514,925.  Exercise the forward contract:  £514,925 x 1.99 = $1,024,701.  If the funds were left on deposit in the United States the value at maturity would have been $1,000,000 x 1.0247 = $1,024,700, a differential of <$1>.  Considering the size of the investment and rounding errors this equates to no profit differential.
3)  Expected Eh = Eh x [1 + (Ih - If)] = $0.20 x [1 + (.01 - .06)] = $0.20 x [1 + (-.05)] = $0.20 x .95 = $0.19.

4)  According to the current rate method assets and liabilities are translated at the current rate of $1.50/£ and owner's equity is translated at the historical rate of $2.00/£.  The resulting translation is as follows:

BALANCE SHEET
As of December 31, 200x


Assets
Liabilities & Equity
Cash
$ 15,000

Accounts Payable
$ 18,000
Receivables
7,500

Accrued Expenses
7,500
Inventory
22,500

Long Term Debt
19,500
Fixed Assets
30,000

Equity
40,000



Translation Loss
<10,000>

$ 75,000


$ 75,000


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