The formula doesn’t consider either the amount of reward or risk. It has only % winning. A trader does not lose the same amount that he gains in a winning trade in every losing trade. If differs based on the risk reward ratio. If both are the same your formula seems to make sense. But in reality a trader may risk 1% of capital and aim at 2% gain. If that is so he will be profitable with a winning percentage of less than 50. So my point is edge doesn’t define if you are a winner are not. How much you risk with you edge and how much you expect to gain with your edge determines whether you are a net winner or loser.
Sorry to be saying this but you have got it all wrong. Please pay attention.
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You say:
The formula doesn’t consider either the amount of reward or risk. It has only % winning.
My response:
There is never an “amount” of reward OR risk. It’s always a ratio of risk TO reward. It’s called the ODDS. It is covered in the formula (the “o” in AoW stands for “odds”).
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You say:
A trader does not lose the same amount that he gains in a winning trade in every losing trade. If differs based on the risk reward ratio. If both are the same your formula seems to make sense
My response:
If both risk and reward are same, then it’s called an even-money chance (odds of 1 to 1); I am certainly NOT talking of that since I am asking to compute “average” of odds on ALL winners. It clearly shows I am assuming variable odds.
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You say:
But in reality a trader may risk 1% of capital and aim at 2% gain. If that is so he will be profitable with a winning percentage of less than 50.
My response:
That’s called the odds of 2 to 1. For the average odds of 2 to 1, the trader can make money as long as his win percent does not dip below 33.33% or 0.3333. Let me put these figures into the formula to make this point clear.
Edge = 0.3333 * 2 - (1-0.3333)
= 0.6666-0.6667 = 0 which means neither positive nor negative edge, that’s the break even point for the trader.
But the moment his win% dips below 33.33, say it touches 25% or 0.25, then the odds of 2 to 1 will make him a long term loser. He will lose 25 cents on every risked dollar in the long run.
Edge = 0.25 * 2 - (1-0.25)
= 0.50 - 0.75 = -0.25
For this trader with a 25% strike rate, he must score at average odds of 3 to 1 to break even. Check this:
Edge = 0.25 * 3 - (1-0.25)
= 0.75 - 0.75 = 0
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You say:
So my point is edge doesn’t define if you are a winner are not. How much you risk with you edge and how much you expect to gain with your edge determines whether you are a net winner or loser.
My response:
Hope you have now understood the fallacy of your statement which I have highlighted in bold typeface above.
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A note:
I come from the field of horse racing, and I am surprised to find that such an elementary concept as EDGE gets debated here and needs to be explained.
To sum it up:
This Edge formula states a fundamental fact about any speculative activity.
And there is no way around it.
If your E value is negative, you will be a long term loser. There is no point in risking serious money unless you can improve your winning percentage OR your average odds on winners (reward to risk ratio) OR both.
Understood. I misunderstood your previous reply. Thank you.
I should also share the blame. I think earlier I was not as clear as I should have been.
My response was hurried and crude. I apologize. You’re a much more knowledgeable and experienced person than me. I misjudged.
And thanks for the detailed explanations.
We all have our irrational moments. Let’s look ahead.