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ABC Corporation just paid a dividend of $1.25 per share. These dividends are expected to grow at 2 3% over the next three years and thereafter come in line with its long term normalized growth rate of 7%. If investors currently require a 13% rate of return from this stock, what is the best estimate of ABC's current stock price?
Correct Answer: A
Step 1: Find the PV of D1, D2 and D3 PV of D1 = (1.25*1.23)/1.13 = 1.361; PV of D2 = (1.25*1.23*1.23)/1.132 = 1.481; PV of D3 = (1.25*1.23*1.23*1.23)/1.133 = 1.612 Step 2: Find the PV of all dividends beyond year 3: P3 = D4/(k - q) = (1.25*1.23*1.23*1.23*1.07)/(0.13 - 0 .07) = 41.48. Therefore PV of P3 = 41.48/1.133 = 28.75 Step 3: Sum the PVs of all the components to equal the stock price: PABC = 1.361 + 1.481 + 1.612 + 28.75 = $33.20.