The free course

The Trader's Arithmetic

No indicator, pattern or instinct outranks four pieces of arithmetic: expectancy, streak probability, drawdown asymmetry and the cost tax. They decide who survives — and they can be learned in an hour, which is more than most traders ever give them. Every formula here is applied to our own system's real numbers, so you can check the working.

6 lessons · ~37 minutes · free forever · no sign-up, no upsell


7 min01

Expectancy: The Only Score That Matters

Win rate is the number beginners worship. It is also, alone, completely meaningless.

6 min02

The Trade-Off Nobody Escapes

Win rate and reward size are not two dials you can both turn up. They are two ends of one seesaw.

6 min03

Losing Streaks Are a Promise

A run of seven straight losses feels like proof the system is broken. Usually it is proof that arithmetic works.

6 min04

The Hole Gets Steeper: Drawdown and Ruin

Losses and gains are not mirror images. The deeper the hole, the more the ladder out costs.

6 min05

Compounding, Without the Instagram Filter

Compounding is genuinely magical. The magic just runs on a timescale no one selling you a course can monetise.

6 min06

The Cost Tax: Arithmetic's Final Word

Your expectancy has a silent partner who takes their cut on every single trade, win or lose.

The arithmetic here runs live on this site: our position size calculator applies lesson four, and the public record shows the formulas meeting reality. Related: Trade Like a Machine.