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U.S. Dollar/Euro. The table indicates that a 1-year call option on euros at a strike rate of $1.2504/ will cost the buyer $0.0630/, or 4.97%.
U.S. Dollar/Euro. The table indicates that a 1-year call option on euros at a strike rate of $1.2504/ will cost the buyer $0.0630/, or 4.97%. But that assumed a volatility of 12.000% when the spot rate was $1.2674/. What would the same call option cost if the volatility was reduced to 10.500% when the spot rate fell to $1.2476/?
The same call option cost if the volatility was reduced to 10.500% when the spot rate fell to $1.2476/ would be $____/. (Round to four decimal places.)
Pricing Currency Options on the Euro | |||||||||
A U.S.-based firm | wishing to buy | A European-based 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 | $ | 1.2674 | S0 | 0.789 | ||||
Forward rate (domestic/foreign) | F0 | $ | 1.2581 | F0 | 0.7948 | ||||
Strike rate (domestic/foreign) | X | $ | 1.2504 | X | 0.7997 | ||||
Domestic interest rate (% p.a.) | rd | 1.454 | % | rd | 2.187 | % | |||
Foreign interest rate (% p.a.) | rf | 2.187 | % | rf | 1.454 | % | |||
Time (years, 365 days) | T | 1 | T | 1 | |||||
Days equivalent | 365 | 365 | |||||||
Volatility (% p.a.) | s | 12 | % | s | 12 | % | |||
d1 | 0.1112 | d1 | 0.0088 | ||||||
d2 | -0.0088 | d2 | -0.1112 | ||||||
N(d1) | 0.5443 | N(d1) | 0.5035 | ||||||
N(d2) | 0.4965 | N(d2) | 0.4557 | ||||||
Call option premium (per unit fc) | c | $ | 0.063 | c | 0.035 | ||||
Put option premium (per unit fc) | p | $ | 0.0554 | p | 0.0398 | ||||
(European pricing) | |||||||||
Call option premium (%) | c | 4.97 | % | c | 4.44 | % | |||
Put option premium (%) | p | 4.37 | % | p | 5.04 | % |
Ill need the steps done in excel.
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