Joven Corp. is a young start-up company and therefore is not paying any dividends on the stock over the next 10 years. The company will start paying a $3 per share dividend at the end of year 11 and thereafter it will increase the dividends by 3% per year forever. If the required rate of return on this stock is 9%, what is the current (today’s) share price?
Question 10 options:
17.08 |
|
23.02 |
|
21.12 |
|
25.00 |
|
20.00 |
|
12.71 |
|
14.64 |
|
22.22 |
|
30.01 |
Step 1 : | Share price at the end of year 10 | |||
Stock price = D1 / r - g | ||||
Where, | ||||
D1 = Expected Dividend | ||||
r= required rate of return | ||||
g= growth rate | ||||
=3/0.09-0.03 | ||||
=50 | ||||
Step 2 : | Share price today | |||
PV= FV/(1+r)^n | ||||
Where, | ||||
FV= Future Value | ||||
PV = Present Value | ||||
r = Interest rate | ||||
n= periods in number | ||||
= $50/( 1+0.09)^10 | ||||
=50/2.36736 | ||||
= $21.12 | ||||
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