Answer:
Rate of return of the company 8.15%
Explanation:
"Do not round intermediate calculations." We will work with as many decimal as needed to provide the most accurate answer.
From the dividends yield we will calculate the Stock market price:
dividends/market price = 0.06
3/market price = 0.06
3/0.06 = market price = 100
100 is the value of the PV of all the dividends inflow
Now we will calcualte the grow in the market prce:
100 x 1.5 in the first year x 1.25 in the second = 187.5
Then, we can solve for rate using the gordon model:
D2 will be the D0 of the model
So we use Dividends for the third year.
D0 = $3
D1 = D0 x 1.5 = 3 x 1.5 = 4.5
D2 = D1 x 1.25 = 4.5x 1.25 = 5.625
D3 = 5.625 x 1.05 =5,90625
We set up the gordon formula
[tex]\frac{divends}{return-growth} = Intrinsic \: Value[/tex]
[tex]\frac{5.90625}{return-0.05} = 187.5[/tex]
[tex]\frac{5.90625}{187.5} = return - 0.05[/tex]
[tex]\frac{5.90625}{187.5} + 0.05 = return[/tex]
rate of return: 0.0815 = 8.15%