Common stock valuelong dash—Variable growth Personal Finance Problem
Home Place Hotels, Inc., is entering into a 3-year remodeling and expansion project. The construction will have a limiting effect on earnings during that time, but when it is complete, it should allow the company to enjoy much improved growth in earnings and dividends. Last year, the company paid a dividend of $2.20. It expects zero growth in the next year. In years 2 and 3, 5% growth is expected, and in year 4, 17% growth. In year 5 andthereafter, growth should be a constant 9% per year. What is the maximum price per share that an investor who requires a return of 18% should pay for Home Place Hotels common stock?

A1
The maximum price per share that an investor who requires a return of 18% should pay for Home Place Hotels common stock is$............

MPS = [tex]\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)\ ]}[/tex]

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