
Chartered Financial Analyst Level 1
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An analyst gathers the following information about an asset and the market:
Risk-free rate: 1%
Market risk premium: 5%
Asset's expected return: 5%
Based on the Capital Asset Pricing Model (CAPM), the asset's beta is closest to:
An analyst gathers the following information about an asset and the market: Risk-free rate: 1% Market risk premium: 5% Asset's expected return: 5% Based on the Capital Asset Pricing Model (CAPM), the asset's beta is closest to:
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Explanation:
The correct answer is A (0.80). According to the CAPM, the expected return of an asset is calculated as:
Where:
- is the expected return of the asset (5%).
- is the risk-free rate (1%).
- is the market risk premium (5%).
- is the asset's beta.
Rearranging the formula to solve for :
Option B (1.00) is incorrect because it omits subtracting the risk-free rate in the numerator, leading to .
Option C (1.25) is incorrect because it inverts the formula, resulting in . This error arises from misapplying the CAPM formula.