Question

In: Finance

A UK company has purchased a Call Option on UK ₤ for 0.02 dollars per ₤....

A UK company has purchased a Call Option on UK ₤ for 0.02 dollars per ₤. The strike price was ₤1=$1.47 and the spot rate at the time the option could be exercised was ₤1=$1.56. There are ₤32,500 in a Sterling Option Contract. Calculate the company’s net profit, illustrating your answer with a Contingency Graph of the Call Option position.

Solutions

Expert Solution

Spot rate            1.56
less: exercise price            1.47
Option payoff            0.09
Less: option premium            0.02
net profit            0.07
multiply contract size        32,500
Total profit          2,275

Position:

The position of option can be labelled as below:

Expected spot rate Exercise price Option payoff Net profit Total profit
a b c= max(1-b,0) d= c- 0.02 e= d*32500
0 1.47 0        -0.02 -650
0.2 1.47 0        -0.02 -650
0.4 1.47 0        -0.02 -650
0.6 1.47 0        -0.02 -650
0.8 1.47 0        -0.02 -650
1 1.47 0        -0.02 -650
1.2 1.47 0        -0.02 -650
1.4 1.47 0        -0.02 -650
1.56 1.47 0.09          0.07 2275
1.76 1.47 0.29          0.27 8775
1.96 1.47 0.49          0.47 15275
2.16 1.47 0.69          0.67 21775
2.36 1.47 0.89          0.87 28275
2.56 1.47 1.09          1.07 34775

in a graph:

The position shows loss is limited to call option premium, where as gain is theoretically unlimited.


Related Solutions

Jason purchased a call option on Swiss Franc for $0.69 per unit. The strike price was...
Jason purchased a call option on Swiss Franc for $0.69 per unit. The strike price was $1.28 and the spot rate at the time the option expired was $1.76. Each SF option contract has 20,000 units. Would Jason exercise this option or not? What was Jason’s net profit on this call option? a. -$4,200 b. $4,200 c. –$5,600 d. $5,600
Randy purchased a call option on British pounds for $.02 per unit. The strike price was...
Randy purchased a call option on British pounds for $.02 per unit. The strike price was $1.45 and the spot rate at the time the option was exercised was $1.46. Assume there are 31,250 units in a British pound option. What was Randy’s net profit on this option? What is the net profit per unit to the seller of this option?   
The stock price of a company is currently $75 per share. A call option on the...
The stock price of a company is currently $75 per share. A call option on the company’s stock has an exercise price of $80 and six months to expiration. The continuous riskfree rate is 5% per year and the stock's volatility is 28% per year. A.) Use the Black-Scholes formula to find the value of the call option. B.) Calculate the hedge ratio for the call option.
Mary purchased a call option on Apple. The call premium was $2. The strike price is...
Mary purchased a call option on Apple. The call premium was $2. The strike price is $180. When she purchased the option Apple stock was trading at $170. The option matured today and the stock price is $181. What is her profit/loss? Should she exercise her option?
A stock trades for ​$47 per share. A call option on that stock has a strike...
A stock trades for ​$47 per share. A call option on that stock has a strike price of ​$53 and an expiration date six months in the future. The volatility of the​ stock's returns is 32​%, and the​ risk-free rate is 5​%. What is the Black and Scholes value of this​ option? The Black and Scholes value of this call option is ​$ ________. ​(Round to the nearest​ cent.)
A stock trades for ​$43 per share. A call option on that stock has a strike...
A stock trades for ​$43 per share. A call option on that stock has a strike price of ​$51 and an expiration date six months in the future. The volatility of the​ stock's returns is 48​%, and the​ risk-free rate is 66​%. What is the Black and Scholes value of this​ option?
A stock trades for $47 per share. A call option on that stock has a strike...
A stock trades for $47 per share. A call option on that stock has a strike price of $51 and an expiration date three months in the future. The volatility of the stock's returns is 35%, and the risk-free rate is 2%. What is the Black and Scholes value of this option?
A stock trades for $42 per share. A call option on that stock has a strike...
A stock trades for $42 per share. A call option on that stock has a strike price of $54 and an expiration date nine months in the future. The volatility of the stock's returns is 33%, and the risk-free rate is 2%. What is the Black and Scholes value of this option?
A stock trades for ​$46 per share. A call option on that stock has a strike...
A stock trades for ​$46 per share. A call option on that stock has a strike price of ​$54 and an expiration date threethree months in the future. The volatility of the​ stock's returns is 37​%, and the​ risk-free rate is 6​%. What is the Black and Scholes value of this​ option?
A stock trades for ​$46 per share. A call option on that stock has a strike...
A stock trades for ​$46 per share. A call option on that stock has a strike price of ​$54 and an expiration date three months in the future. The volatility of the​ stock's returns is 37% and the​ risk-free rate is 6%. What is the Black and Scholes value of this​ option?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT