ABC Inc., will pay no dividends over the next 13 years because the firm needs to retain its earnings for growth purposes. The company will pay an $4 per share dividend in 14 years and will increase the dividend by 4 percent per year thereafter. If the required return on this stock is 9 percent, what is the current (t=0) share price?
ABC Inc. just paid a dividend of $1.75 per share. The company will increase its dividend by 28 percent next year and will then reduce its dividend growth rate by 7 percentage points per year until it reaches the industry average of 7 percent dividend growth, after which the company will keep a constant growth rate forever. If the required return on the stock is 12 percent, what will a share of stock sell for today?
Answer to Question 1:
Dividend Year 14, D14 = $4.00
Growth Rate, g = 4%
Required Return, rs = 9%
Stock Price Year 13, P13 = D14 / (rs - g)
Stock Price Year 13, P13 = $4.00 / (0.09 - 0.04)
Stock Price Year 13, P13 = $4.00 / 0.05
Stock Price Year 13, P13 = $80.00
Current Stock Price, P0 = P13 / (1 + rs)^13
Current Stock Price, P0 = $80.00 / 1.09^13
Current Stock Price, P0 = $26.09
Answer to Question 2:
Last Dividend, D0 = $1.75
Growth Rate, Year 1 = 28%
Growth Rate, Year 2 = 21%
Growth Rate, Year 3 = 14%
Growth Rate, Year 4 and onward (g) = 7%
D1 = $1.75 * 1.28 = $2.24
D2 = $2.24 * 1.21 = $2.7104
D3 = $2.7104 * 1.14 = $3.0899
D4 = $3.0899 * 1.07 = $3.3061
Required Return, rs = 12%
P3 = D4 / (rs - g)
P3 = $3.3061 / (0.12 - 0.07)
P3 = $3.3061 / 0.05
P3 = $66.122
Current Stock Price, P0 = $2.24/1.12 + $2.7104/1.12^2 +
$3.0899/1.12^3 + $66.122/1.12^3
Current Stock Price, P0 = $53.42
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