Question: U.S. Dollar/British Pound. Assuming the same initial values for the dollar/pound cross rate in this table how much more would a call option on pounds
U.S. Dollar/British Pound. Assuming the same initial values for the dollar/pound cross rate in this table
how much more would a call option on pounds be if the maturity increases from 90 to 180 days? What percentage increase is this for the length of maturity?
I already have the correct answers but I need to know how to get those answers
| Pricing Currency Options on the Euro | |||||||||
| A U.S.-based firm wishing to buy | A British firm wishing to buy | ||||||||
| or sell euros (the foreign currency) | or sell dollars (the foreign currency) | ||||||||
| Variable | Value | Variable | Value | ||||||
| Spot rate (domestic/foreign) | S0 | $ | 1.8674 | S0 | 0.5355 | ||||
| Forward rate (domestic/foreign) | F0 | $ | 1.8533 | F0 | 0.5396 | ||||
| Strike rate (domestic/foreign) | X | $ | 1.8000 | X | 0.5556 | ||||
| Domestic interest rate (% p.a.) | rd | 1.453 | % | rd | 4.525 | % | |||
| Foreign interest rate (% p.a.) | rf | 4.525 | % | rf | 1.453 | % | |||
| Time (years, 365 days) | T | 0.247 | T | 0.247 | |||||
| Days equivalent | 90.00 | 90.00 | |||||||
| Volatility (% p.a.) | s | 9.400 | % | s | 9.400 | % | |||
| d1 | 0.64800 | d1 | -0.60212 | ||||||
| d2 | 0.60128 | d2 | -0.64884 | ||||||
| N(d1) | 0.74151 | N(d1) | 0.27355 | ||||||
| N(d2) | 0.72617 | N(d2) | 0.25822 | ||||||
| Call option premium (per unit fc) | c | $ | 0.0669 | c | 0.0041 | ||||
| Put option premium (per unit fc) | p | $ | 0.0138 | p | 0.0199 | ||||
| (European pricing) | |||||||||
| Call option premium (%) | c | 3.58 | % | c | 0.77 | % | |||
| Put option premium (%) | p | 0.74 | % | p | 3.72 | % | |||
If the maturity increases from 90 to 180 days, a call option on pounds would be $ 0.069620
Therefore, the180 -day call option would be $0.002730 / more than the 90 -day call option.
The percentage increase for the length of maturity is 4.1899%
Can you help me getting these correct answers by showing calculation? If possible showing in excel please.
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