Answer-first summary for fast verification
Answer: ii, iii and v
## Explanation Let's evaluate each statement: **i. The capital market line is the straight line connecting the risk-free asset with the zero beta minimum variance portfolio.** - **Incorrect**: The Capital Market Line (CML) connects the risk-free asset with the **market portfolio**, not the zero beta minimum variance portfolio. **ii. The capital market line always has a positive slope and its steepness depends on the market risk premium and the volatility of the market portfolio.** - **Correct**: The slope of the CML is \( \frac{E(R_m) - R_f}{\sigma_m} \), which is the Sharpe ratio of the market portfolio. It's always positive (assuming positive risk premium) and depends on both the market risk premium and market volatility. **iii. The complete efficient frontier without a risk-free asset can be obtained by combining the minimum variance portfolio and the market portfolio.** - **Correct**: In the two-fund separation theorem, any efficient portfolio can be constructed as a combination of the minimum variance portfolio and the market portfolio. **iv. The efficient frontier allows different individuals to have different portfolios of risky assets based upon their own risk aversion and forecast for asset returns.** - **Incorrect**: Under CAPM assumptions, all investors hold the same portfolio of risky assets (the market portfolio), regardless of their risk aversion. Differences in risk preferences are accommodated by varying the allocation between the risk-free asset and the market portfolio. **v. The efficient frontier assumes no transaction costs, no taxes, a common investment horizon for all investors, and that the return distribution has no skewness.** - **Correct**: These are standard assumptions of the CAPM and mean-variance optimization framework. **Correct statements: ii, iii, and v** Therefore, the correct answer is **A (ii, iii and v)**.
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The efficient frontier is defined by the set of portfolios that, for each volatility level, maximizes the expected return. According to the capital asset pricing model (CAPM), which of the following statements are correct with respect to the efficient frontier?
i. The capital market line is the straight line connecting the risk-free asset with the zero beta minimum variance portfolio.
ii. The capital market line always has a positive slope and its steepness depends on the market risk premium and the volatility of the market portfolio.
iii. The complete efficient frontier without a risk-free asset can be obtained by combining the minimum variance portfolio and the market portfolio.
iv. The efficient frontier allows different individuals to have different portfolios of risky assets based upon their own risk aversion and forecast for asset returns.
v. The efficient frontier assumes no transaction costs, no taxes, a common investment horizon for all investors, and that the return distribution has no skewness.
A
ii, iii and v
B
i, ii and iii
C
i, iv and v
D
ii, iii and iv