A stock has a current price of $116. An option on this stock that expires in six months has an exercise price of $115. The stock will pay a dividend of $5 in three months. Assume an annualized...


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A stock has a current price of $116. An option on this stock that expires in six months<br>has an exercise price of $115. The stock will pay a dividend of $5 in three months.<br>Assume an annualized volatility of 30% and a continuously compounded risk-free<br>rate of 5% per annum. Use the Black-Sholes-Merton model to price this option.<br>(In all your calculations, round the numbers to 4 decimal places.)<br>1) Suppose the option is a European put. Calculate the value of the put.<br>$<br>2) Suppose this option is an American call. Use Black's approximation to calculate the<br>value of this call.<br>

Extracted text: A stock has a current price of $116. An option on this stock that expires in six months has an exercise price of $115. The stock will pay a dividend of $5 in three months. Assume an annualized volatility of 30% and a continuously compounded risk-free rate of 5% per annum. Use the Black-Sholes-Merton model to price this option. (In all your calculations, round the numbers to 4 decimal places.) 1) Suppose the option is a European put. Calculate the value of the put. $ 2) Suppose this option is an American call. Use Black's approximation to calculate the value of this call.

Jun 05, 2022
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