Demeter Designs stock has a beta of 0.68, the risk free rate is 1.85%, and the expected return on the market is 9.6%. The expected return on the stock is closest to:

Essentials Of Investments
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ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Chapter1: Investments: Background And Issues
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**Title: Calculating Expected Return Using the Capital Asset Pricing Model (CAPM)**

**Demeter Designs Stock Analysis**

Demeter Designs stock has several important financial metrics that are necessary for calculating the expected return using the Capital Asset Pricing Model (CAPM). These metrics are:

- **Beta (β):** 0.68
- **Risk-Free Rate (Rf):** 1.85%
- **Expected Market Return (Rm):** 9.6%

The question posed is to determine the expected return on the stock, which is closest to:

1. **Option a:** 6.53%
2. **Option b:** 8.38%
3. **Option c:** 7.12%

**Explanation of the CAPM Formula:**
The CAPM formula helps in calculating the expected return on a stock by considering its sensitivity to systematic risk (beta), the risk-free rate, and the expected market return. The formula is as follows:

\[ \text{Expected Return} = Rf + \beta \times (Rm - Rf) \]

By substituting the given values into the formula, you can calculate which of the provided options is closest to the expected return on Demeter Designs stock.

**Instructions:**
To answer the question, select an option and submit. For keyboard navigation, use the up/down arrow keys to select an answer.
Transcribed Image Text:**Title: Calculating Expected Return Using the Capital Asset Pricing Model (CAPM)** **Demeter Designs Stock Analysis** Demeter Designs stock has several important financial metrics that are necessary for calculating the expected return using the Capital Asset Pricing Model (CAPM). These metrics are: - **Beta (β):** 0.68 - **Risk-Free Rate (Rf):** 1.85% - **Expected Market Return (Rm):** 9.6% The question posed is to determine the expected return on the stock, which is closest to: 1. **Option a:** 6.53% 2. **Option b:** 8.38% 3. **Option c:** 7.12% **Explanation of the CAPM Formula:** The CAPM formula helps in calculating the expected return on a stock by considering its sensitivity to systematic risk (beta), the risk-free rate, and the expected market return. The formula is as follows: \[ \text{Expected Return} = Rf + \beta \times (Rm - Rf) \] By substituting the given values into the formula, you can calculate which of the provided options is closest to the expected return on Demeter Designs stock. **Instructions:** To answer the question, select an option and submit. For keyboard navigation, use the up/down arrow keys to select an answer.
Expert Solution
Step 1

As per CAPM

Ri = Rf + B (Rm - Rf)

Where

Ri = Return on equity

Rf = Risk free rate of return

B = Beta of security

Rm = Return from market

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