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The price of a stock is $50, its volatility 30% and the risk-free rate 5% compounded continuously. The stock is expected to pay $2 dividend

The price of a stock is $50, its volatility 30% and the risk-free rate 5% compounded continuously. The stock is expected to pay $2 dividend in 3 months and another $2 dividend in 9 months.

a) find the price of a 12-month European call option with a strike price of $48 (use the BSM model.)

b) find the price of an American option with the same maturity and strike price

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