The math of prop firms

I tested 8 risk sizes on a $50K eval with the same 56% strategy (exact pass rates)

At 56% wins, $125 risk passes 96.1% of static-floor runs within 500 trades, versus 54.9% at $1,000. The trade budget and rule set decide the comparison.

8 min readPropFirmMonitor Research

Rules as of November 2026 · Checked

Exact 8×5 static heatmap, with the $125 / 56% cell and 96.1% estimate highlighted; explicitly model-specific.

Size spends two different budgets

Small trades spend your time. Our 500-trade static test gives $100 risk a 94.7% pass estimate, so you need to check both the loss buffer and the time available.

Risk per trade is what you plan to lose if the stop is hit. On our $50,000 reference account, $250 risk is 0.5% of the starting balance. But it uses 12.5% of the original $2,000 loss buffer. The smaller denominator is the one that decides how much room you have.

A boundary is the profit target or loss floor that ends the attempt. Tiny trades can take many trades to reach either one. Large trades let a short bad sequence use up the buffer. There is no single size that is best for every strategy and timetable.

We ran the numbers on a $50,000 reference account: $3,000 target, $2,000 maximum loss, fixed dollar risk, independent wins and losses, and no costs or slippage. Each setting has 24,000 runs. A static loss floor stays fixed. End-of-day (EOD) trailing raises it after a new daily closing high. Our EOD model updates after each five-trade day and locks at the starting balance. This Monte Carlo simulation runs repeated random trade sequences. It is a simplified model, not a measured pass rate at a firm.

Our base strategy wins 56% of independent trades and earns the same amount on a win as it loses on a loss, written 1:1. R is one planned loss. Its expectancy, or average result per trade, is positive before costs. We change size while holding that distribution fixed.

A heatmap needs a trade budget

The next grids allow 500 trades. They show the share of all runs that passed by then. Runs that are still between the boundaries remain unresolved. They are not silently removed or counted as failures. This is our chosen research budget, not a deadline claimed for a firm.

Static-floor pass percentages for five win rates and eight risk amounts, with 500 trades allowed. The complete values appear in the following table.
Cyan intensity tracks the pass estimate. Rounded endpoints do not prove certainty or impossibility. Dollar risks equal 0.2%, 0.25%, 0.5%, 0.75%, 1%, 1.5%, 2% and 4% of $50K.
Static: pass within 500 trades, all-run denominator. Each cell is a percentage.
Risk / % of $50K40% wins45% wins50% wins56% wins60% wins
$100 / 0.2%0.0%0.2%18.0%94.7%100.0%
$125 / 0.25%0.0%0.7%26.9%96.1%99.8%
$250 / 0.5%0.7%7.4%39.9%86.2%96.3%
$375 / 0.75%3.6%15.1%42.8%79.5%91.8%
$500 / 1%7.1%18.8%39.7%67.4%81.5%
$750 / 1.5%14.7%26.6%43.0%63.3%74.6%
$1,000 / 2%18.7%28.1%40.3%54.9%64.2%
$2,000 / 4%21.1%26.5%33.6%41.7%47.3%
EOD trailing pass percentages for the same win rates, sizes and 500-trade budget. The complete values appear in the following table.
Same model inputs; the floor now follows the highest close and locks at the starting balance.
EOD trailing: pass within 500 trades, all-run denominator. Each cell is a percentage.
Risk / % of $50K40% wins45% wins50% wins56% wins60% wins
$100 / 0.2%0.0%0.2%16.9%93.3%99.8%
$125 / 0.25%0.0%0.7%24.1%91.5%99.3%
$250 / 0.5%0.6%6.0%28.5%71.7%89.9%
$375 / 0.75%3.6%11.9%33.1%66.2%82.7%
$500 / 1%6.3%15.7%31.1%55.5%71.5%
$750 / 1.5%13.1%23.6%37.6%56.3%67.4%
$1,000 / 2%17.5%26.5%36.7%50.6%60.0%
$2,000 / 4%20.6%26.2%33.0%40.9%46.6%

At 56% wins and $100 risk, the static model passes 94.7% within the budget; 4.6% are still trading. At $125 it passes 96.1%. Give $100 risk the longer boundary run and its pass estimate rises to 99.1%. “Smaller is safer” and “smaller finishes soon enough” are different tests.

So choose a size by testing the trade budget you can actually fund and follow. A monthly bill or too few valid setups can make a slow attempt expensive. If there is no deadline and no carrying cost, the small-size penalty from a short research horizon is much less relevant.

Fast includes fast failure

Mean trades to either passing or failing fall from about 499 at $50 risk to about 2 at $2,000 risk.
Static model, 56% wins, 1:1. Points are joined without smoothing. The long run allows 20,000 trades; all shown runs resolved.
How quickly the attempt ends. Static floor, 56% wins, 1:1.
Risk% of starting balanceMean trades to either boundaryPass estimate
$500.1%498.8100.0%
$1250.25%192.897.8%
$2500.5%76.886.5%
$5001%23.368.0%
$1,0002%6.154.1%
$2,0004%2.141.8%

The mean counts successful and failed attempts together. It is not the number of trades you should expect to need to pass. Raising size can improve that speed figure just by failing faster. With large trade steps, jumping past a boundary can also create bumps in the results. There is no smooth universal “sweet spot” curve.

Even at 60% wins and 1:1, risking the full $2,000 buffer passes only 47.3% within our 500-trade budget. A first-trade loss ends the attempt. A positive edge does not make full-buffer risk a survival plan. The earlier full-port maths show the trade paths and rule issues behind that choice.

Win rate, reward and size belong together

Reward to risk tells you how large a win is relative to a planned loss. At 2:1, a win earns 2R and a loss costs 1R. In the next three tables we vary win rate and winning R together. All use a static floor and the longer 20,000-trade ceiling. All runs resolved.

Pass estimates at $250 risk across win rates from 40% to 60% and reward to risk from 1:1 to 3:1. Complete values appear in the following table.
Hypothetical independent outcomes before costs. Rounded values are estimates, including any displayed 100.0%.
$250 risk (0.5% of $50K). Static pass estimates.
Winning R / loss of 1R40% wins45% wins50% wins55% wins60% wins
1:10.7%7.4%40.0%81.6%96.0%
1.5:139.8%76.6%93.5%98.3%99.5%
2:180.4%93.4%98.0%99.4%99.8%
2.5:191.9%97.0%99.0%99.5%99.9%
3:194.9%98.0%99.2%99.7%99.9%
Pass estimates at $500 risk across win rates from 40% to 60% and reward to risk from 1:1 to 3:1. Complete values appear in the following table.
Hypothetical independent outcomes before costs. Rounded values are estimates, including any displayed 100.0%.
$500 risk (1% of $50K). Static pass estimates.
Winning R / loss of 1R40% wins45% wins50% wins55% wins60% wins
1:17.3%19.1%39.5%63.9%81.7%
1.5:139.6%60.4%77.1%88.0%94.0%
2:162.5%76.7%85.9%92.0%95.7%
2.5:174.3%84.2%90.5%94.3%96.8%
3:178.8%86.1%91.6%94.7%97.0%
Pass estimates at $1,000 risk across win rates from 40% to 60% and reward to risk from 1:1 to 3:1. Complete values appear in the following table.
Hypothetical independent outcomes before costs. Rounded values are estimates, including any displayed 100.0%.
$1,000 risk (2% of $50K). Static pass estimates.
Winning R / loss of 1R40% wins45% wins50% wins55% wins60% wins
1:119.0%28.7%40.0%51.4%64.5%
1.5:139.4%49.9%60.5%69.3%77.7%
2:150.1%58.7%67.1%73.5%79.9%
2.5:155.9%63.6%71.4%77.2%82.6%
3:160.8%67.5%73.5%78.6%83.3%

A negative strategy can still pass. At 40% wins and 1:1, the pass estimate is 0.7% at $250 risk, 7.3% at $500 and 19.0% at $1,000. Larger bets let some lucky runs jump to the target. The average trade still loses before costs.

A strong model is also vulnerable to size. At 60% wins and 3:1, the estimates are 99.9%, 97.0% and 83.3% at those same sizes. A high win rate or large reward is useful only if it is real and survives costs. Neither is a reason to risk the whole buffer.

The break-even check, with one important condition

Zero-edge sanity check. Both boundaries are exact multiples of these risks.
RiskSimulated passExact probability
$12540.1%40%
$25040.2%40%
$50040.0%40%

The “regardless of size” shortcut needs care. At $750 risk, the first losing balance past the nominal −$2,000 floor is −$2,250. Its exact static pass chance is 3/7, or 42.9%; our simulation gives 42.9%. It jumps past the boundary. Trailing floors, costs and unfinished runs also break the simple 40% calculation.

A chance of passing is not a profitable system. Use the tables to understand a distribution, then test the complete process. There is no single best combination of win rate and reward to risk for an unmeasured strategy.

  • Start with measured wins, losses and costs. Estimate the distribution before choosing size.
  • Write the live loss floor and calculate the dollar buffer.
  • Choose a realistic trade budget, then compare several risk amounts under those same rules.
  • Check both the pass rate and how many attempts remain unfinished. Price those attempts and renewals.
  • Repeat the test with worse costs and weaker results. Choose only a risk you can follow during a loss streak.

Read the trade-order test, how the rules change survival and how payouts compare with fees. For a rule-based sizing example, use consistency and risk per trade.

An edge means a positive average result per trade. Real edges can change. Losing trades can cluster, and stops can slip. Our clean model leaves those risks out. A percentage here describes these assumptions; it does not predict your account.

Download the results, simulation code and full method. They include seeds, unresolved runs and sampling intervals. Re-run with your own trade record and actual rules before using the result.

General education, not financial advice. Model results are hypothetical. Rules change; check the firm’s current terms.