Value of stock = $41.75
Explanation:
The price of a stock using the dividend valuation model is the present value of the the future dividend expected from the stock discounted at the required rate of return.
value of dividend from year 1 to 3
Year Present Value
1 2.28× 1.08^1 × 1.13^(1-) = 2.179
2 2.28× 1.08^2 × 1.13^(-2) = 2.083
3. 2.28 × 1.08^3 × 1.13^(-3)= 1.991
Present value of Dividend in Year 4 and beyond
This will be done in two steps
Step 1 :PV in year 3 terms
= Dividend in year 4× (1.06)/(0.1-0.06)
2.28 × 1.08^3 × 1.07/(0.13-0.07)= 51.220
step 2 : PV in year 0 terms =
PV in year 3 × 1.1^(-3)
=51.220 × 1.13^(-3)= 35.498
Value of stock = 2.179 +2.083 +1.991 + 35.498 = 41.75
Value of stock = $41.75