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Winning Trade % Confidence vs. Straight Losers Expectation


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Winning Trade % Confidence vs. Straight Losers Expectation

  #1 (permalink)
 
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 Anagami 
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I won't lie, I slapped this together pretty fast, so please let me know if you find any errors.

I hope the attached image is self-explanatory. Find your trade confidence in the left column (60% to 90% success rate). Then look up %s of having 2 or more losers in a row with that confidence.

Example:
Your trades have a 78% confidence level.
You're likely to get:
3 losers in a row about 1% of the time.
4 losers in a row about 23 times out of 1000 times.
5 losers in a row about 5 times out of 10,000 times.
etc.
Depending on your trading frequency, you can (roughly!!) estimate how many losers in a row you can expect in a year, a decade, or a lifetime of trading (of course, your confidence interval changes with time!!).

For example, assume:

3 trades a day, 22 days a month, 12 month a year.
About 800 trades a year.
8000 trades in a decade.
Therefore, the green color represents a 'decade' threshold under these assumptions (since green outcome is at least 1 in 10,000).
In other words, with 3 trades a day frequency, you might see a green outcome in a decade of trading.
You are not very likely to see a blue one... assuming your trade confidence estimate is accurate.

Anyways, it's a bit simplistic, but gives you a ballpark idea. Enjoy.

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 vvhg 
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Anagami, thank you for this table, would it perhaps be a good idea to express this as the likeliness of an occurrence over a given number of trades?

vvhg

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vvhg View Post
Anagami, thank you for this table, would it perhaps be a good idea to express this as the likeliness of an occurrence over a given number of trades?

vvhg

Yes, that's definitely one way to think about it.

It's essentially a psychological tool to help one understand what is likely to be experienced given one's 'batting average'.

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 omaha786 
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A similar question is if you start with $2000 and you risk $100 per trade with r:r=1:1, your win rate is say 2 out of 3. What's the probability the account balance would dip below $1000? I think the probability is smaller than 5%.

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 Anagami 
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omaha786 View Post
A similar question is if you start with $2000 and you risk $100 per trade with r:r=1:1, your win rate is say 2 out of 3. What's the probability the account balance would dip below $1000? I think the probability is smaller than 5%.

2 out of 3 puts you in the 66% row, meaning you can reasonably expect 8 losers in a row at some point during your trading career. So your account would probably not dip more than $800 at any one time (assuming the constant scenario above). Of course, you may have a string of multiple losers... but that's a different question and a more complex one.

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 omaha786 
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Anagami View Post
2 out of 3 puts you in the 66% row, meaning you can reasonably expect 8 losers in a row at some point during your trading career. So your account would probably not dip more than $800 at any one time (assuming the constant scenario above). Of course, you may have a string of multiple losers... but that's a different question and a more complex one.

Yes, it's more complex. It's possible to have 6 losers in a row followed by 2 winners, then another 6 losers in a row. I think a Monte Carlo simulation can answer this question better if a precise math formula is too complex.

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 Anagami 
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omaha786 View Post
I think a Monte Carlo simulation can answer this question if a precise math formula is too complex.

Yes, exactly.

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Thank you for creating this.

I love this kind of stuff but suck at creating it, I have such a poor understanding of math.

To me, this gets us a part of the picture of risk of ruin, something I would love to see in a color coated index like you prepared if that is somehow possible. I think risk of ruin should be talked about more on the site.

Mike

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