In: Finance
Question 1-3. Assume the following options are currently available for British pounds (₤):
•Call option premium on British pounds = $.04 per unit
•Put option premium on British pounds = $.03 per unit
•Call option strike price = $1.56
•Put option strike price = $1.53
•One option contract represents ₤31,250.
Long strangle position involves buying call and a put option at the different strike prices. As in the said question, we have two different strike prices. ($1.56 for call option and $1.53 for the put option).
Thus, Total premium paid = Call premium + Put Premium = $0.04 + $0.03 = $0.07
A. When spot rate changes to $1.40
Now, since the spot rate is $1.40. the call option will not be exercised since the spot rate is below the call option strike price of $1.56.
On the contrary, the put option shall be exercised since the strike price of put option ($1.53) is more than $1.40.
Total Profit on put option = $1.53 - $1.40= $0.13
Net Profit = Toal Pofit - Premium Paid = $0.13 - $ 0.07 = $0.06
The correct answer is Option D (+$0.06).
B. When spot rate changes to $1.53 (In this part, we have to focus on just the call option)
Now, since the spot rate is $1.53. the call option will not be exercised since the spot rate is below the call option strike price of $1.56.
Premium paid for the call option is $0.04.
The correct answer is Option A (-$0.04).
C. Breakeven Points
There are two breakeven points in the long strangle. Upper and Lower Breakeven points. At this point, our net position is nil.
Upper Breakeven Point = Strike Price of Call Option + Premium Paid = $1.56 + $0.07 = $1.63
If this is the strike price, call option shall be exercised and put option will not be, resulting in profit of $0.07 but since premium paid is $0.07. Net profit shall be nil.
Lower Breakeven Point = Strike Price of Put Option - Premium Paid = $1.53 - $0.07 = $1.46
If this is the strike price, call option shall not be exercised and put option will be, resulting in profit of $0.07 but since premium paid is $0.07. Net profit shall be nil.
Thus, the answer is Option C ($1.46 & $1.63)