Actually that Kelly formula is correct for a two-outcome situation so, yes, you are maximizing your potential gain with a 70% bet. But, as was pointed out, the chances of you actually having and knowing with certainty that you have a 75% chance of winning with a 5:1 payout are very slim in the trading world. It's not possible to calculate trading probabilities with the same certainty that one can calculate gambling probabilities. There are no black swans in the gambling world.
Actually that Kelly formula is correct for a two-outcome situation so, yes, you are maximizing your potential gain with a 70% bet. But, as was pointed out, the chances of you actually having and knowing with certainty that you have a 75% chance of winning with a 5:1 payout are very slim in the trading world. It's not possible to calculate trading probabilities with the same certainty that one can calculate gambling probabilities. There are no black swans in the gambling world. [/QUOTE]

Quote from eudaemon:
1-Divide your original stake in 20 sub-portfolios.
2-Bet all-in till you win 5 in a row.
3-Re-allocate and start at 1 again.
This outperforms kelly/F in reward/risk and has less psychopathical problems to stick to it. There is an optimal math calc to do this, but above approach is good enough for government work.
Also if you get to really big bets, stops do not guarantee your exit at a preconceived loss.
Quote from Mav88:
I agree that pre-trade odds cannot be calculated, what further complicates the problem in trading is that the odds of winning is also dependent on stop size. This fact makes it not analogous to any card game.
Just use the conservative estimates, not the optimistic ones.