Equity Curve
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Definition
The time series of cumulative account value (or cumulative return) produced by a strategy, showing how capital compounds trade-by-trade or day-by-day.
How to read it
The equity curve is the visual summary from which most statistics are derived: slope is return, wiggle is volatility, dips below the running high-water mark are drawdowns. Read it for SHAPE, not just endpoint. A smooth, steadily rising curve suggests stable edge; a curve that is flat then explodes on a few dates is exposed to a handful of lucky events; a staircase-up-then-cliff is the signature of negative skew (many small gains, rare large loss). Plot it on a log scale to judge compounding honestly and to avoid recent (larger-notional) moves visually dominating early history.
How practitioners use it
Used as context among multiple indicators — never as a standalone signal to act.
Less common professional uses
The GEOMETRIC (compounded) equity curve sits below the arithmetic-return sum by roughly half the variance per period - the volatility drag - so a curve driven at above-optimal leverage can have positive average returns yet a declining terminal wealth. Concentration analysis: strip the top 5 and bottom 5 days and see if the curve still rises; a curve whose entire slope comes from a handful of dates is not a repeatable edge and its Sharpe is not trustworthy. Autocorrelation in the curve (smooth, trending equity) can indicate illiquid or stale marks rather than genuine persistence, which also inflates the annualized Sharpe - cross-check with Newey-West.
Sources & provenance
Grinold & Kahn, 'Active Portfolio Management'; Lopez de Prado (2018), performance analysis chapters
This page is educational content published by Pachira Aquatica Global LLC. It is not investment advice and not a recommendation.