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
|