Question

Global Tek is a new firm in a rapidly growing industry. The company is planning on increasing its annual dividend by 16 percent a year for the next four years and then the growth slows down to a rate of 3.5 percent per year indefinitely. The company just paid its annual dividend in the amount of $0.20 per share. What is the current value of one share of this stock if the required rate of return is 15.5%?

Answer 1

The value of the stock is $2.558

Step-by-step explanation:

We need to calculate the present value of future cash flows to calculate the Stock value

First Calculate each year's Dividend

Use the following formula to calculate the expected dividend

Expected Dividend = Current Dividend x ( 1 + Growth rate )^n

Year ______ Working _________ Dividend

1 ______ $0.20 x ( 1 + 16% )^1 ____ $0.232

2______ $0.20 x ( 1 + 16% )^2 ____ $0.269

3______ $0.20 x ( 1 + 16% )^3 ____ $0.312

4______ $0.20 x ( 1 + 16% )^4 ____ $0.362

5______$0.362 x ( 1 + 3.5% ) _____$0.375

Now calculate the present value of each year's dividend using following formula

PV = Dividend / ( 1 + required rate of return )^numbers of years

Year _____ Working ______________________ PRESENT VALUES

1 ______ $0.232 / ( 1 + 15.5% )^1 _____________ $0.201

2______ $0.269 / ( 1 + 15.5% )^2 _____________$0.202

3______ $0.312 / ( 1 + 15.5% )^3 _____________ $0.203

4______ $0.362 / ( 1 + 15.5% )^4 _____________$0.203

5______$0.375 / (15.5% - 3.5% ) ) / ( 1 + 15.5% ) __$1.749

Now calculate the sum of present value of all the dividends

Value of stock = $0.201 + $0.202 + $0.203 + $0.203 + $1.755

Value of stock = $2.558