Assume the Black-Scholes framework. Eight months ago, an investor borrowed money at the risk-free interest rate to
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Assume the Black-Scholes framework.
Eight months ago, an investor borrowed money at the risk-free interest rate to purchase a one-year 75-strike European call option on a nondividend-paying stock. At that time, the price of the call option was 8.
Today, the stock price is 85. The investor decides to close out all positions.
You are given:
(i) The continuously compounded risk-free interest rate is 5%.
(ii) The stock’s volatility is 26%.
Calculate the eight-month holding profit.
(A) 4.06
(B) 4.20
(C) 4.27
(D) 4.33
(E) 4.47
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