Question

A high growth software company will pay its first dividend of S0.30 next year. This dividend of . After that, the growth will $0.30 will grow at a rate of 10% for four years until the end of year 5 slow down to 5% forever. The required rate of return is 15%. What is the price of the stock today?

A. $3.49
B. $3.57
C. $3.65
D. $3.81
E. $4.02

Answer 1

The price of the stock today is $3.49. The right answer is A.

Step-by-step explanation:

In order to calculate the price of the stock today, we need to calculate first Value after year 5 with the following formula:

Value after year 5=(D5*Growth Rate)/(Required return-Growth Rate)

To find D5 we need to make the following calculations:

IF D1=0.3 , hence D2=(0.3*1.1)=0.33 , D3=(0.33*1.1)=0.363 , D4=(0.363*1.1)=0.3993 and D5=(0.3993*1.1)=0.43923

Therefore, Value after year 5=(0.43923*1.05)/(0.15-0.05) =$4.611915

Therefore, now we can calculate the the price of the stock today with the following formula:

current price=Future dividends and value*Present value of discounting factor(rate%,time period)

=0.3/1.15+0.33/1.15^2+0.363/1.15^3+0.3993/1.15^4+0.43923/1.15^5+$4.611915/1.15^5

=$3.49