Education
Position Sizing Math Every Prop Trader Should Know
The formulas that turn a percentage risk rule into the exact number of shares, contracts, or lots to trade.
Position sizing is the bridge between your risk plan and your actual order ticket. The core formula is the same across every asset class: position size equals dollar risk divided by per-unit risk.
For equities: shares = (account equity × risk percent) / (entry price − stop price). On a one hundred thousand dollar account risking zero point seven five percent, your dollar risk is seven hundred fifty dollars. If your stop is one dollar away from entry, you trade seven hundred fifty shares. If your stop is twenty-five cents, you trade three thousand shares. The size adjusts to the trade, not the trade to a fixed size.
For futures: contracts = dollar risk / (stop in ticks × tick value). On the E-mini S&P (ES), each tick is twelve dollars fifty. A twelve-tick stop costs one hundred fifty dollars per contract. With seven hundred fifty dollars of risk, you trade five contracts. On the Micro E-mini (MES) at one dollar twenty-five per tick, the same twelve-tick stop costs fifteen dollars — so you would size up to fifty contracts. Most prop firms set contract caps; respect both your math and the cap, whichever is lower.
For options, the cleanest approach is to risk a fixed dollar amount as defined premium. If a debit spread costs one hundred fifty dollars and can go to zero, the contract count is dollar risk divided by one hundred fifty. Treat the full debit as the stop unless you have a tested exit rule earlier.
Two adjustments matter. First, factor in slippage and commissions. A "twelve-tick stop" often becomes fourteen ticks in fast tape. Build a buffer into your dollar risk so a normal fill does not push you over your loss limit. Second, scale size with conviction sparingly. A common rule is a half size starter and a full size add only on a defined trigger, never on hope.
The traders who survive year after year do not have magic entries. They have a sizing formula they can compute in five seconds on any trade, in any market, and they never deviate.