This is a fairly advanced topic, so be warned!
I spent today musing on whether we should aim for a small reward vs a big reward in our trades. My preference has been on taking small rewards (generally between 1R and 2R). I find that it feels worse watching a profitable trade turn into a loser, than it is watching a trade continue on without you once you take profit.
But is there a mathematical reason why we should aim for small rewards?
Here’s a hypothetical situation. We have System A which aims for a small reward of 1R, with a win probability of 67%. It’s profit factor is (10.67) / (10.33) = 2.
We also have system B, with a win probability of 50%. It’s profit factor is (20.5) / (10.5) = 2.
Both profit factors are the same, so at first glance, you’d think System A is just as good as System B.
But lets zoom in to a live trade.
Suppose we go long. We know there’s a 67% chance of hitting 1R profit, and 50% chance of hitting 2R profit.
Price moves in our favour and hits 1R. Suppose we were aiming for profit of 2R.
Once price hits 1R, our risk is doubled to 2R (1R is from our stop loss, the other 1R is from the profit we’ve won so far, which would be money in our pocket if we close the trade). Meanwhile, the amount of profit left to win is 1R.
We are now risking 2R to win 1R. And we know that we only have a 50% chance of hitting that additional 1R. What is our profit factor now? It is (10.5) / (20.5) = 0.5.
Our profit factor is now less than 1. Any profit factor less than 1 means we are actually losing money. We would actually be better off aiming for 1R.
Does this make sense? Are any assumptions wrong?