The Tool Desk
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Calculate each daily return first
Use the same trading date and the prior trading day’s close for all three series:
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Daily percentage return = (close on day t ÷ close on day t−1 − 1) × 100
For example, a $2 gain is a 10% move for a $20 stock but only a 1% move for a $200 stock. Raw dollar changes therefore cannot show whether securities moved by comparable amounts.
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Next, subtract the comparator’s percentage return from the stock’s return:
- Sector-relative spread: stock return − sector proxy return.
- Market-relative spread: stock return − broad-index return.
Suppose, purely hypothetically, the stock returned 1.8%, its sector proxy returned 0.6%, and the broad index returned 0.4%. The stock was ahead of the sector by 1.2 percentage points and ahead of the index by 1.4 percentage points over that interval. These are percentage-point differences, not percentage returns on an investment.
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Choose and identify the comparison series
Sector comparison
“The sector” is not one uniquely defined data series. Choose a sector index or an ETF whose mandate and holdings reasonably match the company, and name it. An ETF is a traded fund, not the sector itself: its holdings, market price, and stated benchmark matter. ETF market price can differ from net asset value (NAV), and fund materials or ETF websites provide holdings and historical performance information. See Investor.gov’s ETF bulletin.
Check whether the stock is itself a constituent of the selected sector index or ETF. If it is, its price movement contributes to the comparator, so the spread is not a comparison against a sector measure fully independent of that company.
Broad-market comparison
Select a broad index relevant to the company’s listing and market exposure, and state its name rather than saying only “the market.” An index is a group of securities whose overall performance serves as a benchmark; Vanguard’s investor education page defines one as an “unmanaged group of securities whose overall performance is used as a benchmark.”
Align dates, closing conventions, and return basis
A valid daily comparison needs compatible observations. Use the same close-to-close dates, currency, and return basis, and distinguish the stock’s closing price from an official index close, an ETF’s market close, or its NAV. Exchanges may have different holidays or closing times. A live stock quote paired with an already completed index close is not an apples-to-apples daily comparison; if the series cannot be aligned, disclose the mismatch.
Price return or total return?
A price return reflects price movement. A total return also includes dividend income, typically on a reinvested basis. The S&P 500 price index and its Total Return Index differ on this point: an SEC-hosted filing describing the index calculation explains that the daily total-return calculation incorporates dividend return and carries the prior day’s total-return index level forward. Read the filing.
State whether you used price or total returns for the stock and both comparators. Mixing the two can distort the comparison, particularly around an ex-dividend date.
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Interpret the result without overclaiming
If the stock’s return exceeds the comparator by 1.2 percentage points, it is accurate to say it “outperformed by 1.2 percentage points that day” relative to that named benchmark. That wording describes only the selected interval and comparison. It does not establish what caused the move, demonstrate investment skill, or predict that the relative performance will continue.
Do not call a single-day subtraction tracking error. SEBI describes tracking error as measuring differences between portfolio returns and benchmark returns, a concept about deviations across observations rather than the name for one stock’s daily spread. See SEBI Investor’s explanation.
For more than one day, compare compounded performance
Keep the benchmark and return basis consistent across the full period. A daily percentage-point spread is a useful description of one interval, but adding daily spreads does not produce compounded relative performance.
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For one interval, the relative return in wealth terms is:
(1 + stock return) ÷ (1 + benchmark return) − 1
Use returns as decimals in this formula. Across multiple days, compound each series’ daily returns, or compound the daily relative-return ratios. Longer comparisons may also benefit from annualized and risk-adjusted measures; Vanguard’s performance guidance recommends relevant benchmarks and notes the value of that additional context. The metric and timeframe should fit the question: for example, leveraged and inverse funds target daily returns, which should not automatically be generalized to longer holding periods given compounding and product terms, as ProShares explains.
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