Question

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 completed, it should allow the company to enjoy much improved growth in earnings and dividends. Last year, the company paid a dividend of $3.40. It expects zero growth in the next year. In years 2 and 3, 5% growth is expected, and in year 4, 15% growth. In year 5 and thereafter, growth should be a constant 10% per year. What is the maximum price per share that an investor who requires a return of 14% should pay for Home Place Hotels common stock?

Answer 1

Answer:

$291.56

Explanation:

Find the dividend amount per year;

D1 = D0(1+g ) = 3.40(1+0) = 3.40

D2 = 3.40*(1.05) =3.57

D3 = 3.57*(1.05) =3.7485

D4= 3.7485*(1.15) = 4.3108

D5 = 4.3108 *(1.10) = 4.7419

Find the Present value of each year's dividend;

PV (of D1) = 3.40/ (1.14 ) = 2.9825

PV (of D2) = 3.57/ (1.14² ) = 2.7470

PV (of D3) = 3.7485/ (1.14³ ) = 2.5301

PV (of D4) = 4.3108/ (1.14^4 ) = 2.5523

PV (of D5 onwards)$=\frac{\frac{4.7419}{0.14-0.1} }{1.14^{4} } \\ \\ =\frac{474.19}{1.6890}$

PV (of D5 onwards) = 280.7519

Next, sum up the PVs to find the maximum price of this stock;

= 2.9825 + 2.7470 + 2.5301 + 2.5523 + 280.7519

= 291.564

Therefore, an investor should pay $291.56