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, rr, is:

r=Dividend Yield+Dividend Growth Rater = \text{Dividend Yield} + \text{Dividend Growth Rate}

Given:

  • Dividend yield = 5.7%
  • Dividend growth rate = 4.4%

Substitute the values:

r=5.7%+4.4%=10.1%r = 5.7\% + 4.4\% = 10.1\%

Answer:

The required return on the stock is 10.1%.

Would you like more details, or have any questions about this calculation?


Relative Questions:

  1. How does the dividend yield affect the required return on a stock?
  2. What is the significance of a constant dividend growth rate for a stock?
  3. How would the required return change if the dividend yield were lower?
  4. What is the Gordon Growth Model, and when is it most applicable?
  5. 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