Tony Company has just paid annual dividend of $1.00. Tony’s growth rate is expected to be a constant 10 percent for 2 years, after which dividends are expected to grow at a rate of 20 percent forever. Given the 30 percent discount rate. What is the current price of Tony’s common stock?

Respuesta :

Answer:

Current price = $10.15

Explanation:

Given data:

Annual dividend $1.00

growth rate 10% for 2 year then 20%

Therefore,

1st Year dividend = 1 * 1.1 = 1.1

2nd Year dividend = 1.1 * 1.1 = 1.21

3rd Year dividend [tex]D_3 = 1.21 * 1.2 = 1.452[/tex]

Value at year 2 [tex]= \frac{D_3}{required\ rate - growth\ rate}[/tex]

Value at year 2 [tex]= \frac{1.452}{0.3 - 0.2}[/tex]

Value at year 2 [tex]= \frac{1.452}{0.1}[/tex]

Value at year 2 = 14.52

Current price [tex]= \frac{1.1}{(1 + 0.3)^1} + \frac{1.21}{(1 + 0.3)^2} + \frac{14.52}{(1 + 0.3)^2}[/tex]

Current price = $10.15

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