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Quantitative Finance · Begrippenlijst

Wat is Benchmark, active return, tracking error?

Ook bekend als: benchmark · tracking error

Definition 3.4 Markets I: The Ecosystem and Exchange-Traded Markets · Hoofdstuk 3 — The Buy Side

A benchmark is the reference portfolio, usually a published index, against which a mandate is measured. If rtPr^P_t and rtBr^B_t are the returns of the portfolio and the benchmark, the active return is rtA=rtP−rtBr^A_t = r^P_t - r^B_t, and the tracking error is the annualised standard deviation of rAr^A.

Voorbeelden

Example 3.7 (Twenty overweight bets)

A manager overweights 20 stocks by 1% each and underweights 20 others by 1% each. If stock-specific returns are independent with volatility 25% and the common factors cancel, TE=40×(0.01×0.25)2=1.6%\mathrm{TE} = \sqrt{40 \times (0.01 \times 0.25)^2} = 1.6\%. A mandate that caps the tracking error at 3% leaves room for little more than this: an “active” portfolio is mostly the index.

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