Realistic expectations: survivorship in payout data, funded trading versus own capital and the opportunity cost of attempts

What you will learn

• Why "total payouts" and "average payout" figures say almost nothing about your expected result.
• How to convert a firm's published numbers into a per-buyer figure with the missing denominator.
• How to compare funded trading with your own capital on expected euros per month, including the chance of losing the account.
• How to price the opportunity cost of repeated attempts in money and hours.

Explanation

Survivorship bias in backtest data was covered in the course Systematic Trading & Backtesting. Prop-firm marketing contains the same bias in a different costume.

What published payout data leaves out

• No denominator: "€20 million paid out" is meaningless without the number of evaluations sold and the fee revenue in the same period.
• Averages over survivors: "average payout €1,700" is calculated over traders who received a payout, not over buyers. The average buyer's result includes everyone who failed.
• Self-selected certificates: payout certificates are shared by winners; nobody posts a failed evaluation. Lesson 4 showed that a sizeable share of traders without any edge pass by chance, so a stream of certificates is expected even if nobody has an edge.
• Unverified industry statistics: percentages of "traders who get paid" circulate widely; unless they come from a regulator or audited accounts, treat them as marketing or guesswork and leave them out of your planning.

Funded account versus own capital

The honest comparison has three parts: expected monthly result, probability of losing the account, and what you keep. A funded account gives size you could not afford, a profit split of less than 100 percent and strict loss rules; your own small account gives full ownership and your own rules, but tiny absolute numbers. Both can lose money; leveraged products can lose it quickly in either case.

Opportunity cost

Each attempt costs the fee plus the hours spent, plus the mental cost of trading under rules that differ from your plan. Count the hours at a realistic wage and compare the total with alternatives: building a verified track record on a small own account, or simply not trading.

Worked example

Hypothetical example, all numbers invented. A firm reports €1.2 million of payouts in a year. You learn that it sold 10,000 evaluations at €400 in the same year, and that 700 traders received at least one payout. Taxes and payment fees are excluded.

Step 1, the denominator. Fee revenue = 10,000 × €400 = €4,000,000. Payout ratio = €1,200,000 / €4,000,000 = 30 percent. Average per buyer = €1,200,000 / 10,000 = €120, against a €400 fee: the average buyer's net is −€280. Average among payees = €1,200,000 / 700 = about €1,714, which is the number the marketing shows. Both averages are correct; only one describes you before you buy.

Step 2, funded versus own capital. Assume you have a tested plan that returns 2 percent per month on average. Own capital €5,000 at 1 percent risk per trade: risk €50 per trade, expected €100 per month, 100 percent yours, no external loss rule. Funded €100,000 at 80 percent split: expected €2,000 × 0.80 = €1,600 per month while the account survives. Now assume a 15 percent probability per month of breaching a rule (daily loss, consistency, news window) despite the positive edge. Expected lifetime = 1 / 0.15 = about 6.7 months; expected total payouts before the account is lost = €1,600 / 0.15 = about €10,667, after which a new evaluation and new fees start. The funded account clearly offers more euros, but as a series of temporary contracts, not as a career; the 15 percent is the assumption everything depends on, and only your own rule-breach history can estimate it.

Step 3, opportunity cost of attempts. Six attempts at €500 = €3,000 in fees. If each attempt takes 20 hours of trading and administration, 120 hours at a modest €15 per hour is €1,800 of time. Total cost €4,800 before the first euro of payout. If the pass probability per attempt is 37 percent (the no-edge case from lesson 4), six attempts give a 94 percent chance of at least one pass, which illustrates why many people eventually pass and why passing alone is not evidence of skill.

Common mistake

Practice activity

On paper: a firm reports $3 million of payouts and 1,500 payees in a year; you find out it sold 25,000 evaluations at $250. Calculate the payout ratio, the average per buyer, the average per payee and the average buyer's net result. Then compare: your own $8,000 account at an expected 1.5 percent per month versus a $200,000 funded account at an 85 percent split with the same 1.5 percent and a 20 percent monthly breach probability. Give the expected payouts before the funded account is lost.

Key takeaways

• Published payout figures lack the denominator; always calculate per buyer, not per payee.
• Passing by chance is common, so certificates are weak evidence of skill, including your own.
• Compare funded and own capital on expected euros per month multiplied by expected account lifetime.
• Price attempts in fees plus hours and compare with alternatives before buying again.

Next step

The next lesson covers the behaviours that end funded accounts: multiple accounts, copy trading, hedging across firms, gambling-rule clauses and bans.