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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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