Respuesta :
Answer:
$109
$118.81
18.26%
Explanation:
Intrinsic value can be determined using the constant growth dividend model
according to the constant dividend growth model
price = d1 / (r - g)
d1 = next dividend to be paid
r = cost of equity
g = growth rate
dividend, growth rate and cost of equity are not given and they have to be calculated
growth rate = retention rate x ROE
Retention rate = 1 - payout ratio = 1 - 0.5 = 0.5 = 50%
0.5 x 18% = 9%
According to the capital asset price model: cost of equity = risk free + beta x (market rate of return - risk free rate of return)
9% + 2x (14% - 9%) = 19%
dividend = payout ratio x earnings per share
0.5 x $20 = $10
Intrinsic value = [tex]\frac{10( 1 + 0.09)}{0.19 - 0.09}[/tex] = $109
Stock price in a year
[tex]\frac{10(1 + 0.9)^{2} }{0.19 - 0.09}[/tex] = 118.81
(dividend return + price return)
price return is the return on investment as a result of appreciation or depreciation of share price
Dividend return is the return on investment from dividend earned
price return = price at the end of the year - price at the beginning of the year
