Shadow Mathematics of Prop Firms: the Consistency Score for “Inconvenient” Traders

Shadow Mathematics of Prop Firms: the Consistency Score for “Inconvenient” Traders

I would like to say a few words about a trendy metric called Consistency, which prop firms are actively integrating into their trader evaluation systems. On the internet and in chats you often hear mantras claiming that Consistency teaches something, disciplines you, and supposedly improves your trading. However, the math behind consistency lies on the surface, and it’s enough to open a calculator and run a few profit scenarios to see the obvious: this math not only doesn’t help, it punishes traders of certain styles. Below I will show why this happens.

How is Consistency calculated?

The logic of consistency is extremely simple. You have a total profit earned on your trading account, and you have trading days — profitable and losing. Losing days are not included in the calculation. Among the profitable days, the one with the maximum result is selected; its final profit is divided by the total profit and multiplied by 100. This is how your Consistency Score is obtained.

Consistency formula:

(Biggest Winning Day / Current Total Account Profit) × 100%

This formula is universal, at least at the moment I am writing this article.

It is important to note the following relationship: the more profit you make in one specific day, the higher your Consistency becomes, and the more you will have to earn in order to reduce Consistency to the required level.

Example strategy

Suppose you trade a strategy with a 3R ratio. This means that on average, out of three trades you have two losses of 1R and one profit of 3R. In total, every three trades give you +1R. Let 1R equal 500 dollars, and let the profit always appear after two consecutive losses. Then your trading will generate the following sequence:

-500; -500; +1500; -500; -500; +1500; -500; -500; +1500; -500; -500; +1500

After four such cycles you get about 2000 dollars of profit. What’s wrong with that? In my opinion — nothing. But the devil, as always, is in the details.

Option 1

Let’s calculate Consistency in the ideal scenario, when the profit is always formed on the same day as the two losses before it. That is, each trading day you make three trades: two losing and one profitable. As a result, you get four profitable days of 500 dollars each, totaling the same 2000 dollars.

  1. -500; -500; +1500;
  2. -500; -500; +1500;
  3. -500; -500; +1500;
  4. -500; -500; +1500;

Consistency Score = 500 / 2000 × 100 = 25%.

Twenty‑five percent is an excellent indicator. Most prop firms keep the threshold around 30–40%. To those who don’t look deeper, it seems easy to reach these values. But the difficulties begin when profits and losses are distributed across different days.

Option 2

Let’s imagine that the performance of the same strategy was distributed across days as follows:

  1. -500; -500;
  2. +1500;
  3. -500; -500; +1500;
  4. -500; -500;
  5. +1500;-500; -500;
  6. +1500;

In this case the most profitable day gives you 1500 dollars. Recalculate Consistency:

Consistency Score = 1500 / 2000 × 100 = 75%.

Now let’s see how much profit you need to accumulate in order to be able to withdraw your payout. To do this, take the profit of the most profitable day, multiply by 100, and divide by the desired Consistency threshold, say 30%:

1500 × 100 / 30 = 5000 + 1 dollar for Consistency to drop below 30%.

So just because the profit didn’t fall on the same days as the losses, you were effectively punished: now you must earn 2.5 times more just to gain the right to withdraw profit.

Option 3

But this is just the beginning. The market owes nothing to anyone, and it is not at all necessary that after every two losing trades a profitable one will follow. The distribution can be much more chaotic, for example:

  1. -500; -500;
  2. -500; -500;
  3. +1500; +1500;
  4. -500; -500;+1500;
  5. -500; -500;
  6. +1500;

In this case the most profitable day gives you 3000 dollars. Recalculate Consistency:

Consistency Score = 3000 / 2000 × 100 = 150%.

Now let’s see how much profit you need to accumulate in order to be able to withdraw. Again, take the most profitable day, multiply by 100, divide by the desired threshold of 30%:

3000 × 100 / 30 = 10000 + 1 dollar for Consistency to drop below 30%.

So in this scenario you were punished by the fact that now you must earn 5 times more profit to have the right to withdraw.

Conclusion across the three options

Let’s summarize:

  • Option 1 gives 25% (500/2000), passing the 30% Consistency threshold for 2000$ profit.
  • Option 2 gives 75% (1500/2000), requiring 5000$ profit for 30% Consistency.
  • Option 3 gives 150% (3000/2000), requiring 10000$ profit for 30% Consistency.

The same strategy (2 losses of 1R + 1 profit of 3R = +1R) fails the 30% Consistency rule for 2000$ solely because of the timing of days, which is pure randomness.

Dozens of examples can be given for strategies with a profit of 1R, where losing days alternate with rare but concentrated profitable days. And this is absolutely normal. We are not gods of trading who generate profit daily; otherwise we simply wouldn’t be in prop firms.

Thus, the Consistency rule punishes the trader for the “unevenness” of the market, which cannot be predicted or changed without stopping trading. A trader cannot control the order in which the market gives pluses and minuses. The maximum he can do is reduce risk. But reducing risk scales profit downward while keeping Consistency the same (1500/2000 → 750/1000 = 75%), not solving the problem.

This is why the distribution of profits across days turns into a hidden trap: the Consistency metric reacts not to the quality of the strategy but to the randomness of its temporal structure.

Who invented Consistency and why?

It is obvious that this metric was born in the offices of prop‑firm risk managers — people who are far from real trading but actively fight what they call “toxic trading”.

Why should traders never choose accounts with Consistency?

Even if you are a scalper and usually close the day either in profit or with a symbolic loss, it’s worth thinking: we all work in an environment with a high degree of uncertainty. And the risk that something will go wrong always exists. The market owes nothing to anyone. Tomorrow something may happen that didn’t exist yesterday.

By agreeing to consistency, sooner or later you will find yourself in a mathematical loop that begins tightening around your deposit and forces you into a difficult choice: either cut your profit so as not to allow a “spike” of one day and not spoil the metric (thus killing the expected value of your strategy), or accept punishing yourself for the fact that profit simply clustered into one or several days, reducing your chances of reaching a payout at all.

What does consistency actually teach?

Prop firms want the trader to close each day in profit or at least in a symbolic minus. It sounds nice, almost disciplining. But the market owes nothing to anyone. It is not obliged to give profit on the same day you took losses. And prop firms know this perfectly well, because they have statistics, huge datasets, and an understanding of how results are distributed in real trading.

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