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
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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.
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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