Answer:
e) $37.05
Explanation:
Using the dividend growth model, the value of a stock is the present value of the future dividends receivable discounted at the required rate of return . The required rate of return is given as 12%.
So we discount the year 3 dividend using the dividend growth model formula
P = D (1+g)/r-g
r- rate of return, g = growth rate
Present value of the future dividends:
PV of Year 1 = 1.55(1.015)m × 1.12^(-1)
= 1.4047
PV of Year 2 = 1.55 (1.015)(1.015) × 1.12^(-2)
= 1.27
PV of Year 3 (this will be done in two steps)
Step 1; PV (in yr 2) of year 3 dividend
= (1.55)(1.015)^2×(1.08)/(0.12-0.08)
=43.114
Step 2 : PV (in yr 2) of year 3 dividend
=43.114 × (1.12^(-2))
= 34.37
Best estimate of stock = 1.40 + 1.27 +34.37
= $37.05
Note
To discount the year 3 dividend, we use two steps. The first stp helps get the PV in year 2, and step 3 helps to take it further to the PV in year 0
