Assume that the Black-Scholes framework holds. Consider an option on a stock. You are given the following

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Assume that the Black-Scholes framework holds. Consider an option on a stock.

You are given the following information at time 0:

(i) The stock price is S(0), which is greater than 80.

(ii) The option price is 2.34.

(iii) The option delta is −0.181.

(iv) The option gamma is 0.035.

The stock price changes to 86.00. Using the delta-gamma approximation, you find that the option price changes to 2.21.

Determine S(0).

(A) 84.80

(B) 85.00

(C) 85.20

(D) 85.40

(E) 85.80

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