@globalarbtrader again thanks for commenting, may i kindly ask you about how you would go about a few things...
1: So lets say i decide that "not performing" is a 50% drop in profit factor or sortino ratio of the strategy, how would you go about to determine what would be a needed amount of trades to determine this?
2: If i would say want a confidence level of 95% that my strategy is not performing, are you referring to a monte carlo analys of the above mentioned amount of trades to determine this certainty level?
Yes basically, although you could also work it using some standard statistical techniques.
For example if your annual Sharpe Ratio was 1.0 and your risk target was 10%, then that works out to roughly 0.1% expected profit and 1% standard deviation per trade (with a lot of assumptions). The t-statistic is mu - m0 / s.e. (mu), and the s.e. for mu is sigma / root(N). So the t-statistic is (mu - m0) *root(N) / sigma.
mu = 0.05% (half our expected profit)
m0 = 0.1% (expected profit)
sigma= 1%
N is unknown
Confidence threshold for T is C, which is a function of N
So we have[switch mu and m0 round for convenience)
0.1% - 0.05% *root(N) / 1% = f(N)
root(N) = f(N)*1% / (0.1% - 0.05%)= f(N) * 20
Approximate 5% critical value for large enough N (f(N)) is 1.67
root(N) = 1.67*20 =33.4
N = 1115
You would need 1115 trades, which would take about 11 years. Now can you see why I think this exercise is futile?
Incidentally if your expected Sharpe Ratio is 2.0 (which I'd think is a bit optimistic for an individual trading rule) you would 'only' need 278 trades. Again this would take about 3 years.
[Alternatively, if am allowed a plug, there are tables in my latest book that work this stuff out for you]
Footnote: the above assumes Gaussian returns. If your trades are very positive skew (lots of losses, fewer wins, high win:loss ratio) you would need slightly fewer trades; and if you had negative skew (the reverse) you would need a lot more.
3: you ask me "Why do you need more capital to run more strategies?" shall i understand this as you are preferring same as fan27 that you let all strategies run on same symbol, and then just limit max trades at the same time without no preferred ranking for the signals?
No, I run my system quite differently and my solution won't be appropriate for a more short term system.
However if I did use a system like yours I would indeed take an approach of limiting maximum trades, and if multiple trades 'fired' at the same time I'd pick the one with the strongest signal.
GAT