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A stock is expected to pay dividends of $1.00 one year from now (t=1), $1.25 two years from now, $1.50 three years from now, with
A stock is expected to pay dividends of $1.00 one year from now (t=1), $1.25 two years from now, $1.50 three years from now, with all subsequent dividends growing at a rate of 3%. That is, the year 4 dividend is 3% higher than the year 3 dividend, and the year 5 dividend is 3% higher than the year 4 dividend, and so on. Assume that the appropriate discount rate for the stock is 9.5%. a) Draw a timeline of the dividends from t=0 to t=6. b) Calculate the stock price using the Gordon Growth model at t=2. Denote this as P2. c) What is the price of the stock today (at t=0)? Calculate this by adding up the present value of Du, D2, and P2. d) Suppose an investor bought the stock today and plans to sell it in 4 years. What is the present value of all future cash flows they will receive? Note that they will receive four dividends, plus the price of the stock sold at t=4. Compare your answer to that of part c. Show all work for parts b-d
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