a) Use Black's (1975) approximation to calculate the price of an American dividend call option given the following information: - Price of the underlying stock: $ 49 - Option exercise price: $ 44 - Risk-free interest rate: 2.77% - Volatility (variance) of the share's return: 22% - Two dividend dates - in two months: D1 = 0.82 - in five months: D2 = 0.82 - This option fails in six months b) Is it possible to use the model in a) to calculate the price of a put? Define and explain an alternative if not