Stock Calculator

ROI, CAGR, and Drawdown: The Metrics That Actually Describe a Trade

by Stock Calculator published

“How did the trade do?” has three honest answers, and they regularly disagree. A result can have a handsome total return, a mediocre annualized rate, and a stomach-turning path — all at once. The three metrics below each answer one question and quietly hide the other two.

ROI: how much, ignoring time

Return on investment = net profit ÷ total invested × 100, with “invested” including what commissions took at the door. Put in $5,005 (including a $5 fee), get out $6,495 after fees: profit $1,490, ROI +29.77% — the stock profit calculator’s worked example.

What ROI hides is the clock. +29.77% over three months is spectacular; over twelve years it trails savings accounts. ROI is the right number for comparing outcomes of similar duration and for asking “how hard did each invested dollar work” — and the wrong number the moment durations differ.

CAGR: how fast, ignoring the path

Compound annual growth rate = (end ÷ start)^(1/years) − 1: the single steady rate that would have produced your result. $10,000 → $20,000 over ten years is 7.18%/yr — the CAGR calculator’s golden example, and pointedly not 10%/yr, because compounding does part of the work.

CAGR’s blind spot is volatility, and the blindness is systematic, not random. Consider +50% then −50% in consecutive years: the arithmetic average return is 0%, but $10,000 becomes $15,000 and then $7,500 — a CAGR of −13.4%/yr. The gap between the arithmetic mean and CAGR is volatility drag, and it always points the same direction: the arithmetic mean of a bumpy sequence flatters it. Whenever a result is quoted as an “average annual return,” the first question is which average.

Path over 2 years Arithmetic avg CAGR $10,000 becomes
+7%, +7% 7% 7% $11,449
+20%, −6% 7% 6.21% $11,280
+50%, −36% 7% −2.02% $9,600

Same arithmetic average, three different realities. Only CAGR (equivalently, the end value) tells the truth about wealth.

Drawdown: how bad it got on the way

Maximum drawdown is the largest peak-to-trough fall along the journey — the metric that measures what the other two skip: the experience. A position that ends +40% but visited −45% en route posted a fine CAGR and an experience most holders didn’t survive with their conviction intact.

Drawdown’s sting is asymmetric recovery: the gain that undoes a loss is loss ÷ (1 − loss), so −20% needs +25%, −50% needs +100%, and −95% needs +1,900%. The break-even calculator tabulates the whole curve. This asymmetry is also why drawdown isn’t just an emotional statistic — deep drawdowns mathematically dominate long-run CAGR, which is the sober case for the risk-first arithmetic in the position size calculator.

Using all three at once

A result is honestly described by the triplet: ROI for magnitude, CAGR for rate, drawdown for path. Marketing rarely quotes more than one, and it always picks the flattering one — a high-CAGR fund omits the drawdown; a big-ROI trade omits the decade it took. When you run your own positions through the calculator, you get magnitude directly and rate via CAGR; the path you have to remember honestly. All three describe the past; none of them — a point this site makes wherever numbers appear — predicts anything.