You use the following information to construct a binomial forward tree for modeling the price movements of
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You use the following information to construct a binomial forward tree for modeling the price movements of a stock. (This tree is sometimes called a forward tree.)
(i) The length of each period is one year.
(ii) The current stock price is 100.
(iii) The stock’s volatility is 30%.
(iv) The stock pays dividends continuously at a rate proportional to its price. The dividend yield is 5%.
(v) The continuously compounded risk-free interest rate is 5%.
Calculate the price of a two-year 100-strike American call option on the stock.
(A) 11.40
(B) 12.09
(C) 12.78
(D) 13.47
(E) 14.16
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