The math of prop trading: expected cost and expected value

11min read

Prop firm marketing shows the funded account and the profit split. It rarely shows the number the calculator above produces: the expected cost of reaching that funded account once the pass rate is counted in. A $200 fee is not a $200 cost if most attempts fail. This guide works through the arithmetic of expected cost and expected value, and presents the industry data. It does not say whether prop trading is worth it; that depends on inputs only the trader has.

This guide explains how prop firms operate. It is not trading advice or a recommendation of any firm.

What a funded account really costs

Challenge fee

Evaluation structure

Estimated pass rate10%

Your estimate of passing one full evaluation. The toggle sets a typical starting rate for each structure; adjust it to your own.

Expected attempts to pass

10.01 ÷ 10% pass rate

Expected total spend to funded

$2,000$200 fee × 10.0 attempts

Best case vs realistic

Best case (pass first try)$200

Realistic (at 10%)$2,000

Industry benchmark

FPFX Technologies, a back-office platform used by many prop firms, reported that across a dataset of more than 300,000 prop accounts, about 14% of traders passed a challenge and reached a funded account, and about 7% of all traders ever received a payout, roughly half of those who passed.

Figures are dataset-specific; verify against the firm’s current published statistics before relying on them. Shown as a reference point, not a default input.

Illustrative arithmetic. Expected attempts assume each attempt is independent at the stated pass rate; real pass rates vary by trader, firm, and evaluation structure. This is a cost estimate, not a forecast of any individual result.

The expected cost calculation

The expected cost of reaching a funded account is the fee divided by the pass rate. If one attempt in ten succeeds, the expected number of attempts is ten, and the expected spend is ten fees. The calculator above is this single division made concrete.

Expected cost at a 10% pass rate

Expected spend = fee ÷ pass rate

Challenge fee: $200
Pass rate: 10%

Expected spend to funded

$2,000

A $200 fee at a 10% pass rate carries an expected cost of $2,000 to reach a funded account, across an expected ten attempts. Raise the pass rate to 20% and the expected cost halves to $1,000. Lower it to 5% and it doubles to $4,000. The fee on the website is the best case, paid only by the trader who passes on the first attempt.

The expected-attempts figure is a long-run average, not a schedule. A trader might pass on the first attempt or the fifteenth. The division describes the cost of the average path, which is the honest number to plan against rather than the advertised single fee.

The FPFX dataset and what it shows

The most-cited industry data comes from FPFX Technologies, a back-office platform used by many prop firms. Across a dataset of more than 300,000 prop accounts, about 14% of traders passed a challenge and reached a funded account, and about 7% of all traders ever received a payout, roughly half of those who passed.

Two numbers matter here. The 14% pass rate sets the expected cost: at roughly one in seven, a $200 fee carries an expected cost near $1,400 to reach funded. The 7% payout rate sets something harder. Only about half of those who pass ever withdraw money, so reaching a funded account is not the same as being paid.

The figures are dataset-specific and were measured at one point across one set of firms; verify against a firm's current published statistics before relying on them.

Why the math looks the way it does

The asymmetry is the business model, not an accident. Fees from the large majority who do not pass fund the payouts to the small minority who do. A pass rate near one in seven and a payout rate near one in fourteen are the conditions under which the model works for the firm.

This is also why the Profit Split can be generous. A firm paying 80% to 90% of profit to funded traders can afford it because most revenue comes from fees, not from the firm's share of trader profit. The split is real, but it applies only to the small fraction who reach a payout.

Put the two sides together. The expected cost to reach funded is the fee divided by the pass rate. The expected benefit is the payout, scaled by the chance of ever receiving one. Both sides are probabilities rather than certainties, which is why the advertised fee and the advertised split each describe only one end of a wide distribution.

Your pass rate is not the industry average

The 14% is an average across many traders and firms. An individual's pass rate is their own, and it drives the expected cost: halving the pass rate doubles the expected cost, and doubling it halves the cost. Changing the fee scales the cost in direct proportion.

What separates the traders who pass from those who do not is, by the rule mechanics, mostly risk control rather than market prediction. The Daily Loss Limit and the drawdown floor end most attempts, so the traders who pass are the ones who size positions to survive the rules across a losing run, not the ones who find the most trades.

A trader estimating their own pass rate honestly is doing the only calculation that matters here. The industry 14% is a reference point. The number to put in the calculator is the trader's own, and the more it rests on a real track record rather than hope, the more useful the expected cost becomes.

Cost against opportunity

The arithmetic, laid side by side: an expected cost to reach funded of the fee divided by the pass rate, against a payout that arrives for only about half of those who pass.

	What the marketing shows	What the data shows
Cost	The fee, e.g. $200	Fee ÷ pass rate, e.g. about $1,400 at 14%
Reaching funded	Pass the challenge	About 14% of traders
Getting paid	Keep 80% to 90%	About 7% of traders ever receive a payout

At a $200 fee and the industry 14% pass rate, the expected cost to reach funded is about $1,400. Of the traders who reach a funded account, only about half ever receive a payout. Across everyone who starts, the expected cost is far larger than the single fee, and reaching a payout is far less certain than the headline split suggests.

This is the calculation prop firm marketing leaves out, and it is the whole of what this page offers. Whether the result is worth it is not an arithmetic question. It depends on a trader's own pass rate, their tolerance for paying a fee against a probability, and what they judge they are buying beyond the money. The page presents the numbers and stops.

Terms used in this guide

Frequently asked questions

What is the expected cost of a prop firm challenge?

The expected cost of reaching a funded account is the challenge fee divided by the pass rate. At a $200 fee and a 10% pass rate, the expected cost is $2,000 across an expected ten attempts. The advertised fee is the best case, paid only by a trader who passes on the first attempt.

Why is the expected cost higher than the fee?

Because most attempts do not pass. The fee buys one attempt; the expected cost counts the average number of attempts needed at the trader's pass rate. The lower the pass rate, the more attempts are expected and the higher the expected total spend, even though each individual fee is unchanged.

What pass rate should I use in the calculator?

An honest estimate of your own probability of passing one full evaluation, ideally based on a real track record rather than hope. The industry average from the FPFX dataset is about 14%, but an individual's rate is their own, and it is the input the expected cost is most sensitive to.

What does the FPFX Technologies data show?

Across a dataset of more than 300,000 prop accounts, about 14% of traders passed a challenge and reached a funded account, and about 7% of all traders ever received a payout, roughly half of those who passed. The figures are dataset-specific and worth checking against a firm's current published statistics.

Does passing a challenge mean you get paid?

No. In the FPFX dataset only about half of the traders who reached a funded account ever received a payout, so roughly 7% of all traders were ever paid. Reaching funded status and receiving a payout are two separate outcomes, and the gap between them is part of the expected-value picture.

Why are profit splits so generous if the odds are low?

Because most of a firm's revenue comes from fees, not from its share of trader profit. Fees from the majority who do not pass fund the payouts to the minority who do, which is what lets a firm offer 80% to 90% of profit to the small fraction of traders who reach a payout.

Is prop trading worth it?

That is not an arithmetic question, and this page does not answer it. The arithmetic gives the expected cost to reach funded and the industry odds of being paid; whether those terms are worth taking depends on a trader's own pass rate, their tolerance for paying a fee against a probability, and what they judge they are buying. The numbers are here; the decision is not one a page can make.