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Consider an option on a non-dividend paying stock where the stock price is $30, the strike price is $29, the continuously compounded risk-free rate of

Consider an option on a non-dividend paying stock where the stock price is $30, the strike price is $29, the continuously compounded risk-free rate of return is 5% per year, the continuously compounded standard deviation of its return is 25% per year and the time to maturity is 4 months.

If the Black-Scholes price of a European call on this option is C, then the price of an American call on this stock is

slightly less than C but difficult to determine without an American option pricing model

equal to C

slightly greater than C but difficult to determine without an American option pricing model

none of these other answers are correct

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