Respuesta :
Answer:
P0 = $51.9956 rounded off to $52.00
Explanation:
The two stage growth model of DDM will be used to calculate the price of a stock whose dividends are expected to grow over time with two different growth rates. The DDM values a stock based on the present value of the expected future dividends from the stock.
The formula for price of the stock today under this model is,
P0 = D0 * (1+g1) / (1+r) + D0 * (1+g1)^2 / (1+r)^2 + ... + D0 * (1+g1)^n / (1+r)^n + [ (D0 * (1+g1)^n * (1+g2) / (r - g2)) / (1+r)^n ]
Where,
- D0 is the dividend today or most recently paid dividend
- g1 is the initial growth rate which is 20%
- g2 is the constant growth rate which is 8%
- r is the required rate of return
P0 = 2.5 * (1+0.2) / (1+0.15) + 2.5 * (1+0.2)^2 / (1+0.15)^2 +
2.5 * (1+0.2)^3 / (1+0.15)^3 +
[(2.5 * (1+0.2)^3 * (1+0.08) / (0.15 - 0.08) / (1+0.15)^3)
P0 = $51.9956 rounded off to $52.00
Based on the information given, the current value of the stock will be $52.00.
Based on the information given, the following can be denoted.
D0 = dividend today
g1 = initial growth rate = 0%
g2 = constant growth rate = 8%
r = required rate of return
P0 = [2.5 × (1+0.2) / (1+0.15) + 2.5 × (1+0.2)² / (1+0.15)² + 2.5 + (1+0.2)³] / (1+0.15)³ + (2.5 * (1+0.2)³ * (1+0.08) / (0.15 - 0.08) / (1+0.15)³]
P0 = $52.00
In conclusion, the price is $52.
Learn more about stock on:
https://brainly.com/question/25818989