Question

JCPenney Company is expected to pay a dividend in year 1 of $1.65, a dividend in year 2 of $1.97, and a dividend in year 3 of $2.54. After year 3, dividends are expected to grow at the rate of 8% per year. An appropriate required return for the stock is 11%. The stock should be worth _______ today.
a. $33.00.
b. $40.67.
c. $71.80.
d. $60.00.
e. none of these is correct.

Answer 1

Answer:

c = $71.80.

Explanation:

So, from the question above, it is given that the dividend in the first year = $1.65, the dividend in the second year = $2.54, the dividend for the third year  grows at the rate of 8% and the appropriate required return for the stock = 11%.

The first thing to do here is to determine the terminal value. The terminal value can be calculated as below as;

Terminal value = [ 2.54 × ( 1 + 8/100) ÷ (11/100 - 8/100) ]  = 91.44

The value of the stock today can be calculate as be as:

The value of the stock today = 1.65 / (1 + 11/100 )¹ + 1.97 /  (1 + 11/100)² + 2.54 / (1 + 11/100)³ + 91.44 /  (1 + 11%)³ = $71.80.

Therefore,  stock should be worth $71.80 today.