In: Finance
The earnings of Best Forecasting Company are expected to grow at an annual rate of 14% over the next five years and then slow to a constant rate of 10% per year. Best currently pays a dividend of $0.55 per share. What is the value of Best stock to an investor who requires a 16% rate of return? If stock has a market price of $15 do you buy?
Value of Stock = Present value of dividend till year 5 when growth is extraordinary + Present value of price at the end of year 5 when growth becomes stable
D0 (Dividend currently paid) = $0.55
D1 (Year 1) = $0.55 x (1 + g) = $0.55 x (1 + 0.14) = $0.627
D2 (Year 2) = $0.627 x 1.14 = $0.715
D3 = $0.715 x 1.14 = $0.815
D4 = $0.815 x 1.14 = $0.929
D5 = $0.929 x 1.14 = $1.059
P5 (price at the end of year 5) = [D5 x (1 + g)] / (Ke - g) = [$1.059 x (1 + 0.10)] / (0.16 - 0.10) = $19.415
where, D5 = dividend of year 5, g = stable growth, ke = required return
Particulars | Year | PVF@16% | Amount | Present Value |
D1 | 1 | 0.862 | $0.627 | $0.540 |
D2 | 2 | 0.743 | $0.715 | $0.531 |
D3 | 3 | 0.641 | $0.815 | $0.522 |
D4 | 4 | 0.552 | $0.929 | $0.513 |
D5 | 5 | 0.476 | $1.059 | $0.504 |
P5 | 5 | 0.476 | $19.415 | $9.242 |
Total | $11.852 |
If the market price if $15, you would not want to buy as the stock has a value of only $11.852 and is overpriced.