Question
You are asked to determine the price of a European call option on a stock. Assuming the Black-Scholes framework holds, you are given: (i) The
You are asked to determine the price of a European call option on a stock. Assuming the Black-Scholes framework holds, you are given:
(i) The stock price is $40.
(ii) The call option will expire in one year.
(iii) The strike price is $35.
(iv) The continuously compounded risk-free interest rate is r = 0.10. (v) = 0.02 (vi) = 0.30
Calculate the price of this call option.[answer:9.01]
I've been using:
Call Option = Current price * e - (dividend yield * time) * N(d1) - Strike price * e -interest rate * time * N(d2)
C(St , K, , r, T t, ) = Ste (T t)N(d1) Ker(T t)N(d2) where
d1 = [ln (St/K) + (r + 0.5 2 )(T t)]/ [ T t] and
d2 = [ln (St/K) + (r 0.5 2 )(T t)]/ [ T t] = d1 T t.
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