Quote from N54_Fan:
Intradaybill,
One thing I think you are failing to realize and what Kut2k is trying to explain with his math/formulas is that even with a win rate of 50% or less ruin is NOT CERTAIN,.....UNLESS,....you live forever.
He is not explaining anything. He is a crank who plagiarized a proof used by casino gamblers in games whose outcomes are pure random walks and the probability spaces are well-defined in advance. He has only proved that given a random walk with equal loss and win, if the win rate is greater than 50% then risk of ruin is less than 1. This is so trivial that you do not even need a proof to argue it.
Trading system performance is path dependent and that path is very often marked by persistent trends or persistent volatility, nothing like a random walk.
You cannot know when a steak of losers will hit you. It may come as soon as you start or after 1 million years. The fact is that risk of ruin is certain.
Things are more complicated than the copy and paste of plagiarized proofs idiots like him do.
Consider the statement:
Win propability of trading system = p or P(w) = p
Is it true or false?
Let p1 be the probability that it is true
then P(P(w)=p) = p1
But then, let p2 be the probability that the above is true. Then
P(P(P(w)=p) = p1)) = p2
.........................................
and so on, ad infinitum
An infinite regress emerges in which there are infinite random walks.
Why educating the crank here? I do it not for him but for you because I think people like you who are polite deserve getting exposed to the deep issues that are not known to cranks like him
The issue is that the infinite regress of probabilities makes it impossible to know the propability of the original statement,
P(w) = p
Thus, any proof based on an assumption of knowing that probability is a crank's proof. He is a crank, period.
This is called in math "Infinite Hierarchies of Probabilities", it is studied at graduate levels and it is an unsolved problem.
Probabilities can only be known when the probability space is well-defined and a countable set. This does not apply to trading systems where the probability space depends on infinite possible unknown path.
These are some of the reasons that I laugh with the arrogance of that guy. Trading is not rulette or poker. Those proofs he plagiarized apply only to those games with finite probability spaces known in advance and path independent. We know for example than when tossing a fair coin after a certain number of tosses the calculated win rate converges asymptotically to the true win rate.
This is not true with trading systems because they are path dependent. Every calculated win rate is only probable in an infinite regress fashion.
What is more sad is that he never appreciates the effort others put to educate him.