181k views
5 votes
7. XYZ Firm recently paid $1.00 as an annual dividend. Future dividends are projected at $1.50, $2.00, $2.50, and $3.00 over the next 4 years, respectively. Beginning 5 years from now, the dividend is expected to increase by 3.0 percent annually. What is one share of this stock worth to you if you require 8 percent rate of return on similar investments

1 Answer

3 votes

Answer:

The worth of one share is $52.72

Step-by-step explanation:

The annual dividend = $1

The future dividend = $1.50, $2, $2.50, and $3

The increase in investment = 3%

Value after year 4 = (D4*Growth Rate)/(Required rate-Growth Rate)

=(3*1.03)/(0.08-0.03)

=61.8

Thus, current value (CV) = Future dividend & value × Present value of discounting factor (rate%, time period)

=1.5/1.08 + 2/1.08^2 + 2.5/1.08^3 + 3/1.08^4 + 61.8/1.08^4

=$52.72

User Isnullxbh
by
3.6k points