Math Problem Statement
The expected return over the next quarter (from today to 3 months from today) for a stock is 15.61 percent. The stock’s price is $210.03 today, dividends of $12.76 are expected in 3 months, and dividends of $19.17 are expected in 6 months. What is the price of the stock expected to be in 3 months?
Input instructions: Round your answer to the nearest cent (so 2 decimal places).
Solution
To determine the expected price of the stock in 3 months, we can use the given expected return and the information about dividends. The expected return of the stock over the next quarter is 15.61%.
We calculate the expected price as follows:
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Step 1: Express the expected return as a decimal:
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Step 2: Use the expected return formula: Substituting the values:
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Step 3: Perform the calculations:
Final Answer:
The expected price of the stock in 3 months is $230.08.
Would you like further details or clarification? Here are 5 related questions to expand your understanding:
- How is the expected return of a stock calculated?
- Why are dividends subtracted when calculating future stock prices?
- What is the significance of the quarterly return in stock price predictions?
- How does compounding affect multi-period expected returns?
- How might changing dividend payouts affect the expected future price?
Tip: Always check whether expected returns are expressed annually or for the specific period (quarterly, monthly) when solving financial problems.
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Math Problem Analysis
Mathematical Concepts
Finance
Expected Returns
Stock Valuation
Formulas
Future Price = Price Today × (1 + Expected Return) - Dividends
Theorems
Expected Return Formula
Suitable Grade Level
College Level (Finance or Economics courses)
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