abhishreshthaa
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a) Hedging a Foreign Currency with calls.
In late February an American importer anticipates a yen payment of JYP 100 million to a Japanese supplier sometime late in May. The current USD/JYP spot is 0.007739 (which implies a JYP/USD rate of 129.22.).
A June yen call option on the PHLX, with strike price of $0.0078 per yen is available for a premium of 0.0108 cents per yen or $0.000108 per yen. Each yen contract is for JPY 6.25 million. Premium per contract is therefore: $(0.000108 * 6250000) = $675.
The firm decides to purchase 16 calls for a premium of $10800 .In addition there is a brokerage fee of $20 per contract. Thus the total expense in buying the option is $11,120.The firm has in effect ensured that its buying rate for yen will not exceed $0.0078+ $(11120/100,000,000)= $0.0078112 per yen.
The price the firm will actually end up paying for yen depends on the spot rate at the time of payment .
For further clarification the following 2 e.g. are considered:
1. Yen depreciates to $0.0075 per yen (Yen / $ 133.33) in late May when the payment becomes due .The firm will not exercise its options. It can sell 16 calls in the market provided the resale value exceeds the brokerage commission it will have to pay.
(The June calls will still have some positive premium) .It buys yen in the spot market .In this case the price per yen it will have paid is $0.0075 + $0.0000112 - ${(Sale of value options – 320) /100000000}
If the resale value of the options is less than $320, it will simply let the options lapse .
In this case the effective rate will be $0.0075112 per yen or yen 133.13 per $. It would have been better to leave the payable uncovered. The forward purchase at $0.0078 would have fixed the rate at that value and would be worse than the option.
2. Yen appreciates to $0.08
Now the firm can exercise the options and procure the yen at the strike price of $0.0078.In addition, there will be transaction cost associated with the exercise. Alternatively, it can sell the option and buy the yen in the spot market. Assume that June yen calls are trading at $0.00023per yen in late May.
With the latter alternative, the dollar will be $800000- $(0.00023 * 16* 6250000)+ $320= $777320. Including the premium, the effective rate the firm has paid is $(0.0077732+0.0000112) = $0.0077844.
In late February an American importer anticipates a yen payment of JYP 100 million to a Japanese supplier sometime late in May. The current USD/JYP spot is 0.007739 (which implies a JYP/USD rate of 129.22.).
A June yen call option on the PHLX, with strike price of $0.0078 per yen is available for a premium of 0.0108 cents per yen or $0.000108 per yen. Each yen contract is for JPY 6.25 million. Premium per contract is therefore: $(0.000108 * 6250000) = $675.
The firm decides to purchase 16 calls for a premium of $10800 .In addition there is a brokerage fee of $20 per contract. Thus the total expense in buying the option is $11,120.The firm has in effect ensured that its buying rate for yen will not exceed $0.0078+ $(11120/100,000,000)= $0.0078112 per yen.
The price the firm will actually end up paying for yen depends on the spot rate at the time of payment .
For further clarification the following 2 e.g. are considered:
1. Yen depreciates to $0.0075 per yen (Yen / $ 133.33) in late May when the payment becomes due .The firm will not exercise its options. It can sell 16 calls in the market provided the resale value exceeds the brokerage commission it will have to pay.
(The June calls will still have some positive premium) .It buys yen in the spot market .In this case the price per yen it will have paid is $0.0075 + $0.0000112 - ${(Sale of value options – 320) /100000000}
If the resale value of the options is less than $320, it will simply let the options lapse .
In this case the effective rate will be $0.0075112 per yen or yen 133.13 per $. It would have been better to leave the payable uncovered. The forward purchase at $0.0078 would have fixed the rate at that value and would be worse than the option.
2. Yen appreciates to $0.08
Now the firm can exercise the options and procure the yen at the strike price of $0.0078.In addition, there will be transaction cost associated with the exercise. Alternatively, it can sell the option and buy the yen in the spot market. Assume that June yen calls are trading at $0.00023per yen in late May.
With the latter alternative, the dollar will be $800000- $(0.00023 * 16* 6250000)+ $320= $777320. Including the premium, the effective rate the firm has paid is $(0.0077732+0.0000112) = $0.0077844.