
Answer-first summary for fast verification
Answer: the difference between the return of the actively managed portfolio and the return of the passive portfolio.
## Explanation Alpha (α) in finance refers to the excess return of an investment relative to the return of a benchmark index. It represents the value that a portfolio manager adds or subtracts from a fund's return relative to a benchmark. **Key points about alpha:** 1. **Definition**: Alpha measures the difference between a portfolio's actual returns and its expected performance, given its level of risk (beta). 2. **Formula**: α = Actual Return - Expected Return (based on CAPM) Expected Return = Risk-Free Rate + β × (Market Return - Risk-Free Rate) 3. **Interpretation**: - **Positive alpha**: The portfolio outperformed its benchmark after adjusting for risk - **Negative alpha**: The portfolio underperformed its benchmark after adjusting for risk - **Zero alpha**: The portfolio performed exactly as expected given its risk level 4. **Why Option C is correct**: Alpha specifically measures the difference between the return of an actively managed portfolio and what would have been earned by a passive portfolio (benchmark) with the same level of risk. **Why other options are incorrect:** - **Option A**: Market sentiment is typically measured by indicators like the VIX (Volatility Index), put/call ratios, or investor surveys, not alpha. - **Option B**: This describes beta (β), not alpha. Beta measures systematic risk relative to the market. **Practical Application**: Alpha is a key metric in evaluating portfolio manager performance. A positive alpha indicates skill in security selection or market timing, while a negative alpha suggests the manager failed to add value beyond what could be achieved through passive investing.
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Security market indexes can be used to calculate alphas, which are best described as:
A
a measure of market sentiment.
B
the systematic risk of a security, using the index as a proxy for the entire market.
C
the difference between the return of the actively managed portfolio and the return of the passive portfolio.
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