You have a 1-year call option for which the underlying asset is one barrel of oil. The exercise price is $45 per barrel.Suppose that investors are convinced that the price of oil one year from now will be either $30 or $55 per barrel. Annual risk free rate is 5% and the current oil price per barrel is $40. What is the call option price?

a.$12.56

b.$6.86

c.$4.57

d.$3.25

e.$9.52