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Answer: Any well-diversified portfolio may serve as the benchmark portfolio.
## Explanation The correct answer is **D** - Any well-diversified portfolio may serve as the benchmark portfolio. ### Detailed Analysis: **Why D is correct:** - In Arbitrage Pricing Theory (APT), the benchmark portfolio does not necessarily have to be the market portfolio - APT allows for multiple factors that influence security returns, not just the market return - Any well-diversified portfolio can serve as the benchmark portfolio as long as it is diversified across the relevant factors - This flexibility is a key distinction between APT and the Capital Asset Pricing Model (CAPM) **Why other options are incorrect:** **A is incorrect:** The security market line (SML) shows the relationship between systematic risk (beta) and expected return, not portfolio variance (σ²). **B is incorrect:** The SML has an upward slope, not downward, indicating that higher systematic risk is associated with higher expected returns. **C is incorrect:** The x-axis intercept of the SML represents the risk-free rate, not the expected return on the market portfolio. ### Key Concept: Arbitrage Pricing Theory (APT) is a multi-factor asset pricing model that allows for multiple sources of systematic risk, making it more flexible than the single-factor CAPM. This flexibility extends to the choice of benchmark portfolios in APT applications.
Author: Tanishq Prabhu
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Which of the following statements is true regarding the security market line derived from the arbitrage pricing theory?
A
It shows the expected return in relation to portfolio variance, represented by σ².
B
It has a downward slope.
C
The x-axis intercept is equal to the expected return on the market portfolio.
D
Any well-diversified portfolio may serve as the benchmark portfolio.
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