Which of the following best describes the Capital Market Line (CML) in the context of investments in securities?
A
It illustrates the relationship between a security's expected return and its beta with the market.
B
It shows the efficient frontier of all risky assets without including the risk-free asset.
C
It is a graphical representation of the time value of money.
D
It represents the set of portfolios that optimally combine risk-free assets and the market portfolio, showing the highest expected return for a given level of risk.
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1
Understand the concept of the Capital Market Line (CML): The CML is a graphical representation in portfolio theory that shows the relationship between risk (standard deviation) and expected return for portfolios that combine a risk-free asset and the market portfolio.
Recognize the components of the CML: The CML includes the risk-free rate (a fixed return with no risk) and the market portfolio (a portfolio of all risky assets in the market). It represents the optimal risk-return trade-off.
Identify the formula for the CML: The equation for the CML is given as: \( E(R_p) = R_f + \frac{E(R_m) - R_f}{\sigma_m} \cdot \sigma_p \), where \( E(R_p) \) is the expected return of the portfolio, \( R_f \) is the risk-free rate, \( E(R_m) \) is the expected return of the market portfolio, \( \sigma_m \) is the standard deviation of the market portfolio, and \( \sigma_p \) is the standard deviation of the portfolio.
Compare the CML to other concepts: The CML differs from the Security Market Line (SML), which relates a security's expected return to its beta (systematic risk). The CML focuses on total risk (standard deviation) rather than beta.
Conclude the correct description: The CML represents the set of portfolios that optimally combine risk-free assets and the market portfolio, showing the highest expected return for a given level of risk. This aligns with the correct answer provided in the problem.