Math Problem Statement
What is the constant growth rate for a stock with a current price of $180.00, an expected dividend payment of $8.00 per share in next year, and a required return of 11.54%?
Solution
The constant growth rate (also known as the Gordon growth rate or dividend growth rate) for a stock can be found using the Dividend Discount Model (DDM) with constant growth. The formula is:
Where:
- is the required rate of return (11.54% in this case),
- is the expected dividend in the next year ($8.00),
- is the current stock price ($180.00),
- is the growth rate, which we need to find.
Rearranging the formula to solve for :
Substitute the given values:
So, the constant growth rate is 7.1%.
Would you like further details or have any questions? Here are 5 related questions you might find helpful:
- How does the required rate of return affect the stock price?
- What happens to the growth rate if the expected dividend increases?
- Can the growth rate be negative in some scenarios?
- How does the Dividend Discount Model relate to the intrinsic value of a stock?
- What assumptions does the Gordon Growth Model make?
Tip: To estimate growth rates accurately, companies often analyze both historical growth and future projections based on market trends.
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Math Problem Analysis
Mathematical Concepts
Finance
Dividend Discount Model
Growth Rate
Formulas
r = D1 / P0 + g
g = r - (D1 / P0)
Theorems
Dividend Discount Model
Gordon Growth Model
Suitable Grade Level
Undergraduate Finance / Economics
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