I once traded a challenge for two months and could not understand why the target kept feeling further away. My win rate was fine. My reward-to-risk was fine. I was doing everything the course had taught me, and the account was going nowhere. Then a friend asked me one question I had never answered honestly: after costs, how much does your average trade actually make? I did not know. That evening I worked it out, and the answer was almost nothing. No wonder the target felt unreachable — on average, it was.
In this article
That number is called expectancy, and the Challenge Pass Time Calculator at the top of this page builds everything from it. You give it your win rate, reward-to-risk and cost per trade, and it tells you the expectancy per trade in R and in dollars, how many trades the target needs, and roughly how many trading days that means. Let me explain the maths, then show you a plan that passes and one that cannot.
Expectancy is the engine; everything else is paint
Expectancy answers one question: if I take this trade a hundred times, what does the average one earn? Wins pay your reward-to-risk. Losses cost one R. Costs — spread and commission expressed in R — are paid on every trade, win or lose. Miss the costs and your expectancy is a fantasy; include them and it is a business plan.
| Variable | What it is | Typical value |
|---|---|---|
| W | Win rate as a decimal — 45% becomes 0.45 | 0.35 – 0.60 |
| R | Average reward in multiples of risk | 1.5 – 3.0 |
| C | Cost per trade in R — spread plus commission divided by your risk | 0.05 – 0.20 |
| E | Expectancy: average profit per trade, in R | Above 0 passes; above 0.2 is healthy |
Be honest with W. Your journal’s number counts; your memory’s number lies. If you do not have a journal yet, start one — a trading journal for prop firm traders shows the setup I use. And size the risk first with position sizing for prop firm challenges, because expectancy in dollars comes from expectancy in R times your risk per trade.
A plan that passes, worked through
Here is the default plan the calculator ships with. $100,000 account, 10% target, 0.5% risk per trade, 45% win rate, 2R reward, 0.1R cost per trade, 3 trades a day, 5% daily limit.
| Step | Calculation | Result |
|---|---|---|
| Expectancy (R) | (0.45 × 2) − (0.55 × 1) − 0.1 | 0.25 R |
| Risk per trade ($) | $100,000 × 0.5% | $500.00 |
| Expectancy ($) | 0.25 × $500 | $125.00 |
| Trades needed | $10,000 ÷ $125 | 80 trades |
| Trading days needed | 80 ÷ 3 per day | 27 days |
| Losing trades before daily limit | $5,000 ÷ $500 | 10 in a row |
Twenty-seven trading days is about five and a half weeks — on average, with no blow-ups in between. That is the part beginners skip: the maths assumes you survive the losing streaks, and the last row shows the streak that ends the challenge. Ten full losers in a row at 0.5% risk hits the $5,000 daily limit, so a personal stop well before that is what keeps the average alive.
Now watch what happens when costs creep up. Change the cost per trade to 0.35R and the expectancy falls to exactly zero: (0.45 × 2) − 0.55 − 0.35 = 0. The calculator then refuses to show days and tells you the truth: this plan does not pass — fix expectancy first. I would rather hear that from a calculator than from a breach email.
Using the pass time calculator step by step
Fill the fields at the top of this page, then press Calculate.
| Input field | What to enter | Sample figure |
|---|---|---|
| Account size ($) | Your challenge or funded balance | 100000 |
| Profit target (%) | What the firm requires | 10 |
| Risk per trade (%) | Your fixed plan percentage | 0.5 |
| Win rate (%) | Your journal’s number, not your memory’s | 45 |
| Reward : risk (R) | Your average winner in R | 2 |
| Cost per trade (R) | Spread + commission divided by risk per trade | 0.1 |
| Trades per day | How many setups you realistically take | 3 |
| Daily loss limit (%) | Your firm’s per-day ceiling | 5 |
Everything is calculated in your browser, and nothing is stored.
Expectancy first, speed second
The most common reaction to a 27-day answer is to trade more — six trades a day instead of three, force it. That usually lowers the win rate, raises the costs, and leaves expectancy worse than before. Speed is the last lever I touch. The first three levers are costs, win rate honesty and risk size.
Costs are the quiet killer because they are guaranteed. A 0.1R cost on a 0.25R expectancy takes 40% of your edge before you have done anything clever. If your number looks thin, check your spreads and commissions before you touch your strategy — and compare the firm itself with the Prop Firm Rule Comparison Calculator, since a tighter firm can turn a marginal plan into a passing one.
Mindset note, from my two lost months: a positive expectancy does not promise 27 days. It promises 27 days on average, which means some passes take 15 and some take 60, and the 60-day version feels like failure the whole way through. The plan is only as good as your willingness to keep executing it while it underperforms. That is a journal problem, not a maths problem. The Investopedia expectancy definition is a solid neutral reference for the concept.
Questions traders ask about passing prop challenges
How many trades does it take to pass a 10% challenge?
It depends entirely on your expectancy. At 0.25R per trade and 0.5% risk, each trade earns $125 on average, so a $10,000 target needs about 80 trades. Double your expectancy and the answer halves; halve it and the answer doubles.
Can I pass with a 40% win rate?
Easily, if the reward justifies it. At 2.5R reward and 0.1R costs, a 40% win rate gives (0.40 × 2.5) − 0.60 − 0.1 = 0.3R of expectancy. Win rate alone tells you almost nothing — the combination of win rate, reward and costs is what matters.
Why does the calculator hide the days when expectancy is zero or negative?
Because the answer would be a lie. With zero expectancy you never reach the target on average, so any number of days I showed you would imply a finish line that does not exist. Fix the edge first, then count the days.
Should I increase trades per day to pass faster?
Only if the extra trades have the same expectancy. Forced trades usually have worse setups and the same costs, which drags the average down. I would rather pass in 40 honest days than blow up in 12 rushed ones.
How do losing streaks fit into this?
The calculator shows how many full losers in a row hit your daily limit — 10 at 0.5% risk on a 5% limit. Expectancy assumes you survive to let the average work, so your real job is streak survival: fixed risk, a personal daily stop, and no revenge trading.
