In: Finance
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.
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.