In: Finance
Gruber Corp. pays a $9 dividend on its stock. The company will maintain this dividend for the next 3 years. In year 4, the dividend will increase to $10 and then grow at a constant 5 percent rate annually into perpetuity. If the required return on this stock is 10 percent, what is the current share price?
| 1) Calculation of stock's current price: | ||||
| Year | Amount | PVF @10% | Present value | |
| 1 | 9.00 | 0.909 | 8.18 | |
| 2 | 9.00 | 0.826 | 7.44 | |
| 3 | 9.00 | 0.751 | 6.76 | |
| 4 | 10.00 | 0.683 | 6.83 | |
| 4 | 210.00 | 0.683 | 143.43 | |
| Total | 172.64 | |||
| Value of share is $172.64 | ||||
| Working: | ||||
| Calculation of dividend: | ||||
| Terminal value= Dividend(1+growth)/(return-growth) | ||||
| =10*(1+0.05)/(0.10-0.05) | ||||
| = 10.5/0.05=210 | ||||