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A Call Option in the Black-Scholes Model Is a Function C(S,t)C ( S , t )

Question 13

Multiple Choice

A call option in the Black-Scholes model is a function of the stock price and time, i.e., C(S,t) C ( S , t ) . Which of the following statements is valid with regards to the change in the option price over time, i.e., dC(S,t) d C ( S , t ) ?


A) The expected change E(dC) E ( d C ) is not a function of stock volatility-taking expectations eliminates the Wiener process term.
B) The expected change over time is not a function of the remaining maturity of the option, only of the amount of time over which the change is examined.
C) The expected change in the call price is not a function of the risk-free interest rate but only the growth rate of the stock at the specific point in time.
D) None of the above.

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