Answer:
Current price of stock =$128.06
Explanation:
The Dividend Valuation Model is a technique used to value the worth of an asset. According to this model, the worth of an asset is the sum of the present values of its future cash flows discounted at the required rate of return.
The model is given as
P = D× g/(r-g)
P- price, D- dividend payable in year 1, r -cost of equity, g - growth rate in dividend
Cost of equity
The cost of equity can be calculated using the Capital Asset Model (CAPM).
Ke= Rf +β(Rm-Rf)
Ke =? , Rf- 6.5%, (Rm-Rf)- 1.5, β- 1.3
Ke=6.5% + 1.3× (1.5)= 8.45%
Stock price
PV of dividend in year 1 = 3.4× 1.17× 1.0845^(-1)=3.668
PV of dividend in year 2 = 3.4× 1.17^2× 1.0845^(-2) = 3.9572
<em>PV of dividend in year 3</em>
This will be done in two(2) steps:
Step 1- PV in year 2 terms
3.4× 1.17^2× 1.05/(0.0845- 0.05)= 141.651
Step 2- PV in year 0
141.6513913× 1.0845^(-2)= 120.4375
Current piece of stock = 3.668 + 3.957 + 120.4375 = 128.062
Current price of stock =$128.062
