Answer:
To calculate the price of the stock, we need to use the dividend discount model. Here are the steps:
1. Calculate the dividend growth rate for the first 3 years:
Dividend growth rate (years 1-3) = 15%
2. Calculate the dividend growth rate from year 4 onwards:
Dividend growth rate (year 4 onwards) = 8%
3. Calculate the expected dividend for year 1:
Expected dividend (year 1) = $3.60 * (1 + 15%) = $4.14
4. Calculate the expected dividend for year 2:
Expected dividend (year 2) = $4.14 * (1 + 15%) = $4.76
5. Calculate the expected dividend for year 3:
Expected dividend (year 3) = $4.76 * (1 + 15%) = $5.50
6. Calculate the expected dividend for year 4:
Expected dividend (year 4) = $5.50 * (1 + 8%) = $5.94
7. Calculate the expected dividend for year 5:
Expected dividend (year 5) = $5.94 * (1 + 8%) = $6.42
8. Calculate the price of the stock using the dividend discount model:
Price of the stock = ($4.14 / (1 + 16%)^1) + ($4.76 / (1 + 16%)^2) + ($5.50 / (1 + 16%)^3) + ($5.94 / (1 + 16%)^4) + ($6.42 / (1 + 16%)^5)
Price of the stock = $47.13
Therefore, the price of the stock should be $47.13 given the revised forecasts.
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