Answer:
The stock A is most valuable as the fair value of Stock A is $100 which is more than the fair value of Stock B ( $83.33) and Stock C ($34.28).
Explanation:
to calculate the fair price of the stocks, we will use the DDM or dividend discount model. The DDM bases the value of a stock on the present value of the expected future dividends from the stock.
Let r be the discount rate which is 10%.
a.
The stock is like a perpetuity as it pays a constant dividend after equal intervals of time and for an indefinite period.
The price of this stock can be calculated as,
Price or P0 = Dividend / r
P0 = 10 / 0.1 = $100
b.
The constant growth model of DDM can be used to calculate the price of this stock as its dividends are growing at a constant rate forever.
P0 = D1 / r - g
Where,
- D1 is the dividend for the next period
- r is the cost of equity or discount rate
- g is the growth rate in dividends
P0 = 5 / (0.1 - 0.04)
P0 = $83.33
c.
The price of this stock can be calculated using the present of dividends.
P0 = 5 / (1+0.1) + 5 * (1+0.2) / (1+0.1)^2 + 5 * (1+0.2)^2 / (1+0.1)^3 +
5 * (1+0.2)^3 / (1+0.1)^4 + 5 * (1+0.2)^4 / (1+0.1)^5 + 5 * (1+0.2)^5 / (1+0.1)^6
P0 = $34.28
