In: Finance
McGaha Enterprises expects earnings and dividends to grow at a rate of 29% for the next 4 years, after the growth rate in earnings and dividends will fall to zero, i.e., g = 0. The company's last dividend, D0, was $1.25, its beta is 1.20, the market risk premium is 5.50%, and the risk-free rate is 3.00%. What is the current price of the common stock?
Current price of the common stock is $ 7.64
As per dividend discount model, current share price is present value of future dividends.
| Year | Dividend | Discount factor | Present Value | ||||
| a | b | c=1.096^-a | d=b*c | ||||
| 1 | $ 1.61 | 0.912409 | $ 1.47 | ||||
| 2 | $ 2.08 | 0.83249 | $ 1.73 | ||||
| 3 | $ 2.68 | 0.759571 | $ 2.04 | ||||
| 4 | $ 3.46 | 0.693039 | $ 2.40 | ||||
| Total | $ 7.64 | ||||||
| So, current price of common stock is $ 7.64 | |||||||
| Working: | |||||||
| As per Capital Asset Pricing Model, | |||||||
| Required return | = | Risk free rate | + | Beta | * | market risk premium | |
| = | 3.00% | + | 1.20 | * | 5.50% | ||
| = | 9.60% | ||||||