Math Problem Statement
A stock is expected to maintain a constant dividend growth rate of 4.4 percent indefinitely. If the stock has a dividend yield of 5.7 percent, what is the required return on the stock?
Multiple Choice
9.4%
8.4%
9.1%
9.6%
10.1%
Solution
The required return on a stock with a constant dividend growth rate can be calculated using the Gordon Growth Model (or Dividend Discount Model). The formula for the required return, , is:
Given:
- Dividend yield = 5.7%
- Dividend growth rate = 4.4%
Substitute the values:
Answer:
The required return on the stock is 10.1%.
Would you like more details, or have any questions about this calculation?
Relative Questions:
- How does the dividend yield affect the required return on a stock?
- What is the significance of a constant dividend growth rate for a stock?
- How would the required return change if the dividend yield were lower?
- What is the Gordon Growth Model, and when is it most applicable?
- How is the dividend yield typically calculated?
Tip: For stocks with constant dividend growth, the Gordon Growth Model provides a straightforward way to estimate the required return.
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Math Problem Analysis
Mathematical Concepts
Finance
Dividend Yield
Growth Rate
Return on Investment
Formulas
Required Return = Dividend Yield + Dividend Growth Rate
Theorems
Gordon Growth Model (Dividend Discount Model)
Suitable Grade Level
Undergraduate Finance or Business Level
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