Answer: $28.96
Explanation:
Using the Dividend discount model, the intrinsic value will be a sum of the present values of the dividends in addition to the present value when the dividends become constant.
First use CAPM to calculate the required return
= Risk free rate + Beta * (market return - risk free rate)
= 4.5% + 1.15 * (14.5% - 4.5%)
= 16%
The required return will be used to discount the dividends.
2009 dividends = 1.72 * 1.12 = $1.93
2010 = 1.93 * 1.12 = $2.16
2011 = 2.16 * 1.12 = $2.42
Dividends grow at 9% from 2011
Stock terminal value in 2011 = (2.42 * 1.09) / (16% - 9%) = $37.68
[tex]= \frac{1.93}{1.16} + \frac{2.16}{1.16^{2} } + \frac{2.42}{1.16^{3} } +\frac{37.68}{1.16^{3}}\\\\= 28.959397679[/tex]
= $28.96
