Question

Exercise Bicycle Company is expected to pay a dividend in year 1 of $1.20, a dividend in year 2 of $1.50, and a dividend in year 3 of $2.00. After year 3, dividends are expected to grow at the rate of 10% per year. An appropriate required return for the stock is 14%. The stock should be worth ________ today.
A) $33.00
B) $39.86
C) $55.00
D) $66.00
E) $40.68

Answer 1

Answer:

E.  $40.68

Explanation:

The computation of the stock worth today is shown below:

= (Dividend in year 1 ÷ 1 + required rate of return^number of years ) + (Dividend in year 2 ÷ 1 + required rate of return^number of years) + (Dividend in year 3 ÷ 1 + required rate of return^number of years)  + (Dividend in year 3 ÷ 1 + required rate of return^number of years) × (1 + growth rate) ÷ (required rate of return - growth rate)

= $1.2 ÷ 1.14 + $1.5 ÷ 1.14^2 + $2 ÷ 1.14^3 + $2 ÷ 1.14^3 × (1 + 10%) ÷ (14%-10%)

= $40.68

We simply applied the above formula