System Achievement Score

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The System Performance Score is now obsolete.

It has been replaced by the System Achievement Score (SAS).

The System Achievement Score is

SAS = 8*k*E*sgn[ E ]*min[ 1, N/1000 ] ,
where
k is the Kelly fraction aka the solution to the Kelly equation (below),
E is the expectation (%/100),
sgn[ E ] is -1 when E is negative, is +1 when E is positive,
N is the number of trades in the performance evaluation.

The Kelly equation for trading is
0 = sum[ Ri/(1+ k*Ri) ]_i=1toN ,
where
Ri is the return (%/100) of the i'th trade.

For the classic coin-flip example of positive expectation :

k = .5/|-1| - .5/2 = .25 ,
E = .5*2 + .5*(-1) = .5 ,
sgn[ E ] = +1 ,

SAS[ +2, -1 ] = 8*.25*.5*1 = +1.0000
 
I've decided to get rid of the coefficient (8) in the original SAS formula.

SAS == k*E*sgn[ E ]*min[ 1, N/1000 ]

SAS[ +2, -1 ] = 0.125
 
Quote from vicirek:

P&L
Isn't that already covered by the expectation?

If not, how would you incorporate P&L into the formula? Thanks.
 
Quote from kut2k2:

Isn't that already covered by the expectation?

If not, how would you incorporate P&L into the formula? Thanks.

I would get rid of the formula and replace it with 0 when your P&L is negative and 1 when P&L is positive. System works if the result is 1.
 
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