Math Problem Statement
Financial analysts forecast XYZ company's growth for the future to be a constant 8%. XYZ's recent dividend was $0.88. What is the value of XYZ stock when the required return is 12%?
Solution
To find the value of XYZ's stock using the Dividend Discount Model (DDM), specifically the Gordon Growth Model, we can apply the following formula:
Where:
- is the present value of the stock (what we're solving for).
- is the most recent dividend paid, which is $0.88.
- is the constant growth rate of dividends, which is 8% or 0.08.
- is the required return, which is 12% or 0.12.
Step-by-Step Calculation:
-
Calculate the next expected dividend, :
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Apply the Gordon Growth Model formula to find the stock price, :
Final Answer:
The value of XYZ's stock is $23.76.
Do you want more details on this calculation or have any questions?
Related Questions:
- How does the required rate of return affect stock valuation?
- What happens to the stock value if the dividend growth rate changes?
- How is the Dividend Discount Model different from other stock valuation methods?
- What assumptions are made in the Gordon Growth Model?
- How can analysts estimate the future growth rate of a company's dividends?
- How does inflation impact the required rate of return?
- Can the Dividend Discount Model be used for companies that don't pay dividends?
- What other models can be used to value a stock with irregular dividend growth?
Tip:
When using the Dividend Discount Model, remember that it's most accurate for companies with stable and predictable dividend growth.
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Math Problem Analysis
Mathematical Concepts
Finance
Dividend Discount Model
Gordon Growth Model
Formulas
Dividend Discount Model formula
Gordon Growth Model formula
Theorems
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Suitable Grade Level
Professional