Answer:
P8 = $105.5994 rounded off to $105.60
Step-by-step explanation:
The constant growth model of DDM is used to calculate the price of a stock whose dividend growth rate is constant. The DDM values a stock based on the present value of the expected future dividends from the stock. The formula for the price of stock today under this model is,
P0 = D0 * (1+g) / (r - g)
Where,
- D0 * (1+g) is the dividend for the next period of D1
- r is the required rate of return
- g is the growth rate in dividends
80 = 5 * (1+g) / (0.1 - g)
80 * (0.1 - g) = 5 * (1+g)
8 - 80g = 5 + 5g
8 - 5 = 5g + 80g
3 = 85g
3/85 = g
g = 0.03529 or 3.529% rounded off to 3.53%
To calculate the price today, we use D1. Thus, to calculate the price 8 years from now or P8, we will use D9
P8 = 5 (1+0.0353)^9 / (0.1 - 0.0353)
P8 = $105.5994 rounded off to $105.60