Question

Common stock valuelong dash—Variable growth Personal Finance Problem

Answer 1

Answer:

$24.18

Explanation:

Dividend for year 0 = $2.2

Dividend at year end 1 = $2.2

Dividend at year end 2 = $2.2(1 + .05) = 2.31

Dividend at year end 3 = $2.31 (1 + .05) = 2.4255

Dividend at year end 4 = $2.4255 (1 + .17)= 2.8378

Dividend at year end 5 = $2.8375 (1 + .09)= 3.0932

Dividend at year end 6 = $3.0932 (1 + .09) = 3.371

MPS = $\frac{D_{1} }{(1\ +\ k)^{1} } + \frac{D_{2} }{(1\ +\ k)^{2} } \ +\ \frac{D_{3} }{(1\ +\ k)^{3} } \ +\ \frac{D_{4} }{(1\ +\ k)^{4} } +\ \frac{D_{5} }{(1\ +\ k)^{5} } \ + \frac{1}{(1\ +\ k)^{5} } [\frac{D_{6} }{(k\ -\ g)\ ]}$

where MPS = Market price of share

          D= Dividend for different years

          k = Cost of equity

          g= constant growth rate after year 5

putting values in above equation we get,

MPS = 1.864 + 1.65 + 1.478 + 1.463 + 1.352 + 0.4371 × 37.462

MPS = $24.18

The maximum price per share that an investor who requires a return of 18% should pay for Home Place Hotels common stock is $24.18