In: Finance
a) Options on GBP trade on the Philadelphia Stock Exchange (PHLX). A call expiring in 3 months with a strike price of USD 1.50 is trading at a price of USD 0.05. Consider an investor who buys 5 contracts and holds the options to maturity. At maturity, GBP is trading at USD 1.63. What it the net profit obtained by this investor? Assume the contract size is 10,000 currency units. Show your calculations.
B) In the above question, what is the net profit for the person who sold the 5 contracts? Show your calculations.
Given | Strike Price of 3m call buy option= | $1.50 | ||||||||
Current trading Price | $0.05 | |||||||||
contract size | 10000 | |||||||||
on maturity the price is | $1.63 | |||||||||
Ans a | Investor has bought the call options so if the price of option on maturity exceeds the exercise price then the call will be exercised in his favour. | |||||||||
Investor has bullish belief. | ||||||||||
Since on maturity the price of call option exceeds the exercise/strike price, the call is exercised in favour of investor | ||||||||||
So, Payoff = Spot price-Exercise price | (1.63-1.50)*10000 | |||||||||
= | 1300 | |||||||||
Profit per option = | 1300-500 | |||||||||
= | 800 | |||||||||
Profit for 5 contracts= | 800*5 | |||||||||
= | $4,000.00 | |||||||||
Ans b | Investor has sold the call options so if the price of option on maturity exceeds the exercise price then the call will be against him. | |||||||||
Investor has bearish belief. | ||||||||||
Since on maturity the price of call option exceeds the exercise/strike price, the call is exercised against the investor | ||||||||||
So, Payoff = Spot price-Exercise price | (1.50-1.63)*10000 | |||||||||
= | -1300 | |||||||||
Profit per option = | -1300-500 | |||||||||
= | -1800 | |||||||||
Profit for 5 contracts= | -1800*5 | |||||||||
= | ($9,000.00) |