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win/loss trade ratio = 2
% win / loss = 50
initial accsize = 1M
losing trade ( risk ) = 1% of account size
Solve for: yearly ROA
Solution:
ROA = ( GrossProfit - GrossLoss ) / initial account size * 100;
if win/loss = 2 then GrossProfit/GrossLoss = 2 then
GrossProfit = 2*GrossLoss
ROA = ( 2GrossLoss - GrossLoss ) / initial account size * 100 or
= GrossLoss / intial account size * 100;
GrossLoss = initial accountsize* [ ( 1 - %risk )^n/2 ) - 1]
where n = total number of trades losers and winners
risk = .01 then
Gross Loss = initial accountsize ( .99^n/2 - 1 )
ROA = ( .99^n/2 - 1 ) *100
so in this case ROA depends only on number of trades you make
so at 100 total trades ROA = 39% of your account size
at 50 trades - 22%
at 2 trades - 1.99%
The general formula to use is the Compound Interest Formula:
Int = Principal [ (1 + %)^n - 1 ];
in case of trading, %risk is simply negative % so the
general formula for the total loss is:
GrossLoss = InitialAccountSize [ ( 1 - %risk )^n - 1];
general formula for the total profit is
GrossProfit = InitialAccountSize [ ( 1 + %profit )^n - 1];
Val.
Correct me if I am wrong.
Andy Dunn wrote:
> Can anyone write me a formula for the following.
>
> I have a system and the average WIN is 2X the average LOSS
> The system WINS exactly 50% of the time
> Let's say I start with $1M
> Each time I trade, I risk 1% of the bankroll (starts at 1M then goes up with each trade)
>
> Can anyone write an algebraic formula that will determine the yearly Rate-Of-Return depending on HOW MANY trades this system does each year?
>
> thanks
>
> Andy
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