Question
Given: Spot rate is 108.20/$ 6-month forward rate is 106.20/$ Teks cost of capital is 9.8% Japans 6-month deposit rate is 1.250% p.a. U. S.
Given:
- Spot rate is 108.20/$
- 6-month forward rate is 106.20/$
- Teks cost of capital is 9.8%
- Japans 6-month deposit rate is 1.250% p.a.
- U. S. 6 month borrowing rate is 4.0% p.a.
- 6-month yen call option strike price = 108/$
- Option premium = 2.5%
- The expected spot rate can be estimated from the following information:
Possible Spot Rate in 180 days | Probability |
101.35/$ | 35% |
105.44/$ | 50% |
110.21/$ | 15% |
Remain Unhedged Convert $ to yen in 6 months.
Amount of yen payable = 8,000,000.00
Possible Spot Rate in 180 days | Total cost of buying | Probability |
101.35/$ |
| 35% |
105.44/$ |
| 50% |
110.21/$ |
| 15% |
2. Forward Hedge - buy yen forward 6-months to lock in cost
Amount of yen payable = 8,000,000
Forward rate = 106.20/$
t=0
t=180 US dollar cost of settling payable would be
3. Money market hedge - invest funds in yen deposit now .
Principal needed at the end of 6-months = 8,000,000
Japans 6-month deposit rate is 1.250% p.a.
Yen deposit needed now =
Current spot rate (/$) = 108.20/$
US dollars needed now, for exchange into yen = $73,477.92
U. S. 6 month borrowing rate is 4.0% p.a.
Find Dollar cost of money market hedge at end of 6-months:
Carry-forward rate, 6 months @ Teks WACC = 9.8% p.a.
Options Hedge - buy a call option on Japanese yen
Amount of yen payable = 8,000,000
Spot price (/$) = 108.20
Premium on call option, % = 2.500%
Cost of call option = $1,848.43
If the spot rate at end of 6-months is greater than strike rate, the option is exercised.
Possible Spot Rate in 180 days | Exercise Option? | Purchase price | Dollar cost of payable | Probability |
101.35/$ |
| 108.00/$ | $74,074.07 | 35% |
105.44/$ |
| 108.00/$ | $74,074.07 | 50% |
110.21/$ |
| 110.21/$ | $72,588.69 | 15% |
Total cost of exercising call option on yen (including premium):
=
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