What does this calculator do?
This calculator simulates possible capital paths using win rate, reward/risk ratio, loss rate, trading fees, number of trades, and starting capital.
Instead of showing only one final number, it creates 1,000 random paths using a Monte Carlo approach and compares the average, best, and worst scenarios. The average scenario is a point-by-point arithmetic mean of all 1,000 paths.
The average scenario is the arithmetic mean of all 1,000 paths at each plotted trade. It is a synthetic curve, not an individual trading path, so no winning or losing streak is assigned to it. Best and worst are actual paths selected by final capital within this sample, not limits on future outcomes.
How should the inputs be interpreted?
Estimated win rate is the assumed percentage of winning trades. Reward/risk ratio compares the size of one win to one loss.
Loss per trade is the percentage of current capital lost on a losing trade. Fees are deducted from both winning and losing trades.
Each trade uses the same win probability and payoff ratio, with independent outcomes. Profit, loss and the fee are based on absolute pre-trade capital; the entered fee is charged once per complete trade. Streaks count outcomes before fees. This arithmetic model continues at negative capital and does not model bankruptcy or liquidation.
How should the results be read?
Final return is not enough by itself. Maximum drawdown and losing streaks help show how difficult the path may be in practice.
With positive capital and fixed rates, win/loss counts determine final capital. Trade order changes drawdown and streaks. The worst path is only the lowest final capital in this sample.
Win rate and risk-reward ratio
A high win rate does not always mean a good strategy. If the reward/risk ratio is poor, a few losses may erase many small wins.
A lower win rate may still work if the reward/risk ratio is strong enough. This tool lets you experiment with that relationship.
Drawdown and losing streaks
Maximum drawdown measures the largest decline from a previous capital peak. Even a profitable average result can involve stressful drawdowns.
The longest losing streak shows how many losses can occur in a row. Risk sizing should account for these periods.
Important limitations
This is an educational simulation based on the inputs you provide. It may not fully reflect liquidity, slippage, taxes, execution errors, emotions, or changing strategy behavior.
The result is not investment advice or a return guarantee.
Check the arithmetic
How is one trade calculated?
Let C be capital before the trade, l the loss fraction, R the reward/risk ratio, and f the fee fraction. Divide percentage inputs by 100: a 1% loss input means l=0.01, and a 0.1% fee means f=0.001.
After a winning outcome, capital is C + |C| × l × R − |C| × f. After a losing outcome, it is C − |C| × l − |C| × f. The notation |C| means absolute capital. The fee uses capital before the gain or loss and is deducted once for either outcome.
For the examples below, enter capital 10,000, loss per trade 1%, reward/risk ratio 2, fee 0.1%, and one trade. Set win probability to 100% or 0% to reproduce each calculation without random outcomes.
Same ending, different path
What changes when wins and losses arrive in a different order?
When capital stays positive and trade percentages stay fixed, the same number of wins and losses gives the same final capital. Reordering the winning and losing multipliers does not change their product. It does change the path, drawdown, and streaks.
Start with 100, a 50% loss fraction, reward/risk ratio 1, and no fee. A win multiplies capital by 1.5 and a loss by 0.5. Two wins and two losses therefore end at 100 × 1.5² × 0.5² = 56.25. These are two deliberately chosen sequences for checking the model, not predicted random outcomes.
Understanding a sample
How do the mean, median, best, and worst differ?
The average scenario is the arithmetic mean of all 1,000 paths at each plotted trade. It is a synthetic curve, not an individual trading path, so no winning or losing streak is assigned to it. Best and worst are actual paths selected by final capital within this sample, not limits on future outcomes.
With final values of 10, 20, 40, and 80, the arithmetic mean is (10 + 20 + 40 + 80) ÷ 4 = 37.5. The sample median, averaging the two central values, is 30. The average scenario displays the equivalent of 37.5, while the median appears separately as P50 in the sample distribution.
Best and worst refer only to these 1,000 sampled paths, not bounds on every possible outcome or a 95% prediction interval. Their cards show drawdown and streaks from the selected real paths. The synthetic mean has no individual drawdown or streaks; maximum drawdown across the paths is summarized separately as a distribution.
Even if an event has an assumed probability of 0.1% per path, the chance of seeing it zero times in 1,000 independent paths is 0.999¹⁰⁰⁰, about 36.8%. Absence from this sample does not make a rare outcome impossible.