Math Problem Statement
Thress Industries just paid a dividend of $3.25 a share (i.e., D0 = $3.25). The dividend is expected to grow 6% a year for the next 3 years and then 12% a year thereafter. What is the expected dividend per share for each of the next 5 years? Do not round intermediate calculations. Round your answers to the nearest cent.
D1 = $
D2 = $
D3 = $
D4 = $
D5 = $
Solution
To calculate the expected dividend per share for each of the next five years, we will use the dividend growth formula:
Where:
- is the dividend in year ,
- is the dividend just paid,
- is the growth rate, which is 6% for the first 3 years and 12% thereafter.
Step-by-Step Calculation:
1. Year 1 (D1):
For the first year, the growth rate is 6%, so:
2. Year 2 (D2):
For the second year, the growth rate is again 6%, so:
3. Year 3 (D3):
For the third year, the growth rate is still 6%, so:
4. Year 4 (D4):
From year 4 onward, the growth rate increases to 12%. For the fourth year:
5. Year 5 (D5):
For the fifth year, the growth rate remains 12%, so:
Final Results (rounded to the nearest cent):
Would you like further details or explanations?
Related Questions:
- What is the total dividend growth over the 5-year period?
- How would the dividend change if the growth rates were different?
- What is the present value of the dividends if discounted at 10%?
- How does this dividend growth affect the stock price?
- What happens if the 12% growth rate is only sustained for 2 years instead of permanently?
Tip: Always keep track of different growth rates across multiple time periods when forecasting dividends.
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Math Problem Analysis
Mathematical Concepts
Dividend Growth Model
Exponential Growth
Algebra
Formulas
Dividend Growth Formula: D_n = D_0 * (1 + g)^n
Theorems
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Suitable Grade Level
Undergraduate Finance or Economics
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