In: Finance
A7X Corp. just paid a dividend of $1.45 per share. The dividends are expected to grow at 25 percent for the next 6 years and then level off to a growth rate of 8 percent indefinitely.
If the required return is 15 percent, what is the price of the stock today?
Step-1, Dividend per share for the next 3 years
Dividend in Year 0 (D0) = $1.45 per share
Dividend in Year 1 (D1) = $1.8125 per share [$1.45 x 125%]
Dividend in Year 2 (D2) = $2.2656 per share [$1.8125 x 125%]
Dividend in Year 3 (D3) = $2.8320 per share [$2.2656 x 125%]
Dividend in Year 4 (D4) = $3.5400 per share [$2.8320 x 125%]
Dividend in Year 5 (D5) = $4.4250 per share [$3.5400 x 125%]
Dividend in Year 6 (D6) = $5.5313 per share [$4.4250 x 125%]
Step-2, Calculation of Stock Price for the Year 6(P6)
Dividend Growth Rate after 6th year (g) = 8.00%
Required Rate of Return (Ke) = 15.00%
Stock Price for the Year 6 = D6(1 + g) / (Ke – g)
= $5.5313(1 + 0.08) / (0.15 – 0.08)
= $5.9738 / 0.07
= $85.34 per share
Step-3, The Current share price
The Current Stock Price is the aggregate of the Present Value of the future dividend payments and the present value the stock price for the year 6
Year |
Cash flow ($) |
Present Value factor at 15.00% |
Present Value of cash flows ($) |
1 |
1.8125 |
0.86957 |
1.58 |
2 |
2.2656 |
0.75614 |
1.71 |
3 |
2.8320 |
0.65752 |
1.86 |
4 |
3.5400 |
0.57175 |
2.02 |
5 |
4.4250 |
0.49718 |
2.20 |
6 |
5.5313 |
0.43233 |
2.39 |
6 |
85.34 |
0.43233 |
36.89 |
TOTAL |
48.66 |
||
“Hence, the Current Share Price will be $48.66”
NOTE
The Formula for calculating the Present Value Factor is [1/(1 + r)n], Where “r” is the Discount/Interest Rate and “n” is the number of years.