A stock has a beta of 1.22, the expected return on the market is 12 percent, and the risk- free rate is 4 percent. What must the expected return on this stock be? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Expected return
A stock has a beta of 1.22, the expected return on the market is 12 percent, and the risk- free rate is 4 percent. What must the expected return on this stock be? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Expected return
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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![### Calculating the Expected Return on a Stock
A stock's expected return can be calculated using the Capital Asset Pricing Model (CAPM). The formula for CAPM is:
\[ \text{Expected Return} = R_f + \beta \times (R_m - R_f) \]
Where:
- \( R_f \) is the risk-free rate.
- \( \beta \) is the beta of the stock.
- \( R_m \) is the expected return of the market.
Given the following information:
- Beta (\( \beta \)) = 1.22
- Expected market return (\( R_m \)) = 12%
- Risk-free rate (\( R_f \)) = 4%
We can plug in the values into the CAPM formula:
\[ \text{Expected Return} = 4\% + 1.22 \times (12\% - 4\%) \]
### Prompt for User Input
Please calculate the expected return and enter your answer as a percent rounded to 2 decimal places (e.g., 32.16).
**Expected return:** [ ] %
Note: Do not round intermediate calculations when performing the computation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4075dd7b-7cf0-4080-a9ab-c20ff4793850%2F2d2248bb-1b25-461c-a8ec-31aa2dc4ad40%2Feotxlmb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Calculating the Expected Return on a Stock
A stock's expected return can be calculated using the Capital Asset Pricing Model (CAPM). The formula for CAPM is:
\[ \text{Expected Return} = R_f + \beta \times (R_m - R_f) \]
Where:
- \( R_f \) is the risk-free rate.
- \( \beta \) is the beta of the stock.
- \( R_m \) is the expected return of the market.
Given the following information:
- Beta (\( \beta \)) = 1.22
- Expected market return (\( R_m \)) = 12%
- Risk-free rate (\( R_f \)) = 4%
We can plug in the values into the CAPM formula:
\[ \text{Expected Return} = 4\% + 1.22 \times (12\% - 4\%) \]
### Prompt for User Input
Please calculate the expected return and enter your answer as a percent rounded to 2 decimal places (e.g., 32.16).
**Expected return:** [ ] %
Note: Do not round intermediate calculations when performing the computation.
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