Question

A stock will pay no dividends for the next 5 years. Then it will pay a dividend of $5 growing at 2%. The discount rate is 10%. What should be the current stock price?

Answer 1

$38.81

Step-by-step explanation:

The value of the stock is the present value of its future divided payments, bearing in mind that the first dividend is payable six years from,hence, the present value of dividend in year 5( a year before its payment) is then computed thus:

PV of dividend at the end of year 5=expected dividend/discount rate-growth rate

expected dividend in year 6=$5

discount rate=10%

growth rate=2%

PV of dividend at the end of year 5=$5/(10%-2%)

PV of dividend at the end of year 5=$62.50

We need to discount the PV backward by 5 years to show the stock value today

the current stock price=$62.50/(1+10%)^5

the current stock price= $38.81