Question
U.S. Dollar/Euro.The table indicates that a 1-year call option on euros at a strike rate of $1.2496/ will cost the buyer $0.0502/, or 4.00%. But
U.S. Dollar/Euro.The table indicates that a 1-year call option on euros at a strike rate of $1.2496/ will cost the buyer $0.0502/, or 4.00%. But that assumed a volatility of 10.500% when the spot rate was $1.2562/. What would the same call option cost if the volatility was reduced to 10.500% when the spot rate fell to $1.2478/? Question content area bottom Part 1 The same call option cost if the volatility was reduced to 10.500% when the spot rate fell to $1.2478/ would be?? (Round to four decimal places.)
Table:
Pricing Currency Options on the Euro | |||||||||
A U.S.-based firm wishing to buy | A European 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 | $ | 1.2562 | S0 | 0.7961 | ||||
Forward rate (domestic/foreign) | F0 | $ | 1.2470 | F0 | 0.8020 | ||||
Strike rate (domestic/foreign) | X | $ | 1.2496 | X | 0.8003 | ||||
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 | 1.000 | T | 1.000 | |||||
Days equivalent | 365.00 | 365.00 | |||||||
Volatility (% p.a.) | s | 10.500 | % | s | 10.500 | % | |||
d1 | 0.0327 | d1 | 0.0727 | ||||||
d2 | -0.0723 | d2 | -0.0323 | ||||||
N(d1) | 0.5130 | N(d1) | 0.5290 | ||||||
N(d2) | 0.4712 | N(d2) | 0.4871 | ||||||
Call option premium (per unit fc) | c | $ | 0.0502 | c | 0.0337 | ||||
Put option premium (per unit fc) | p | $ | 0.0529 | p | 0.0319 | ||||
(European pricing) | |||||||||
Call option premium (%) | c | 4.00 | % | c | 4.23 | % | |||
Put option premium (%) | p | 4.21 | % | p | 4.01 | % | |||
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