Answer:
Price of stock today = $45.58
Explanation:
<em>The price of a share can be calculated using the dividend valuation model </em>
<em>According to this model the value of share is equal to the sum of the present values of its future cash dividends discounted at the required rate of return. </em>
If dividend is expected to grow at a given rate , the value of a share is calculated using the formula below:
Price=Do (1+g)/(k-g)
Do - dividend in the following year, K- requited rate of return , g- growth rate
Step 1 : PV of dividend from year 1 to 3
PV = D × (1+r)^-n
D- dividend payable in a particular year
r- required rate of return
n- year
Year PV of Dividend
1 2 × 1.1^1 × 1.12^(-1) = 1.96
2 2 × 1.1^2× 1.12^(-2) = 1.93
3 2 × 1.1^3 × 1.12^9-3)= 1.89
Step 2 : PV of dividend from year 4 to infinity
PV (in year 3 terms) of dividend= 2 × 1.1^3× 1.05/(0.12-0.05) = 55.90
PV in year 0 terms = 55.90 × 1.12^(-3) = 39.789
Total present Value = 1.96
+1.93 +1.89 + 39.789= 45.58
Price of stock today = $45.58
