Answer:
Current Price = $39.79275 rounded off to $39.79
Explanation:
Using the constant growth of dividend model, we can calculate the price of the stock at any time. The formula for price today under this model is,
P0 = D0 * (1+g) / (r - g)
Where,
- Do is dividend today
- g is the growth rate
- r is the required rate of return
As we have P1, D1 and r available, we can use this to calculate the growth rate in dividends. We will use the following formula to calculate the price today.
Price today = Future price * (1 - g)
First we calculate the growth rate using P1, D1 and r in the constant growth rate formula.
42.5 = 1.85 * (1+g) / (0.11 - g)
42.5 * (0.11 - g) = 1.85 + 1.85g
4.675 - 42.5g = 1.85 + 1.85g
4.675 - 1.85 = 1.85g + 42.5g
2.825 = 44.35g
2.825 / 44.35 = g
g = 0.063697 or 6.3697% rounded off to 0.0637 or 6.37%
Now we calculate the current price of the stock to be,
Current Price = 42.5 * (1 - 0.0637)
Current Price = $39.79275 rounded off to $39.79
