In: Finance
2. Vogel AG is expected to pay a dividend next year (t=1) of D1= €3.00 per share. The stock has an equity cost of capital or required return of 10% per year. The current stock price is €50/share.
A. Calculate this firm’s expected future annual growth rate of dividends.
B. Calculate this firm’s expected stock price next year (t=1) after the dividend D1 has been paid out.
| 2) | ||||||
| A. | Annual growth rate | 4% | ||||
| Working: | ||||||
| As per dividend discount model, | ||||||
| Required return | = | (D1/P0)+g | Where, | |||
| 0.10 | = | (3.00/50.00)+g | D1 | € 3.00 | ||
| 0.10 | = | 0.06+g | P0 | € 50.00 | ||
| g | = | 0.04 | g | growth rate | ? | |
| B. | Stock price | € 52.00 | ||||
| As per dividend discount model, | ||||||
| Where, | ||||||
| Stock price | = | D1*(1+g)/(K-g) | D1 | € 3.00 | ||
| (t1) | = | 3.00*(1+0.04)/(0.10-0.04) | g | 0.04 | ||
| = | € 52.00 | K | 0.10 | |||