<i>"Here is the correct math on your example Vol.
2 contracts traded per trader
SCALER
10 trades
8 winners
1 x 4.5 points for half the position
1 x 9 point for the other half
2 losers for 3 points each
NONSCALER
10 trades
8 winners for 2 contracts x 9 points each
2 losers for 2 contracts x 3 points each</i>
Absolutely correct. Optimal math always, always, always lies with all-out exits holding for big gains.
Every scalper with zero exceptions is in one or several trades each day that would have captured 75% to 90% of the entire day's range, if left unfettered to run.
Therein meets mathematical fact with logistical reality. The weakest link in our equation as traders is our own fear of loss. We've all been in countless traders near high or low of the day which was scalped out of for a pittance, whereas if left untouched to maximum fruition would have caught a week's worth of scalping gains in one fell swoop.
My final trade this morning was ES short 1331 = trailed out 1329. Why? Layers and layers of support were visible at 1327.50 where price action stalled. That was the logical = emotional fact.
Now let me ask you this: where was the session low? Was 1329 the optimal exit, scaled out or all out? Hardly. But it was the exit which made sense at the time.
No scale-out traders ever talk about the choppy days where half the trades get whacked full size at max loss, and the remainder traders go half out at partial profit = second half whipsawed out at stop. It's always assumed that most trades work deep in a scale-out trader's favor without ever running into sideways chop.
Reality is this: holding until it hurts, every trade every day is the optimal exit strategy. Every one of us has trades on near session highs or lows. Hold them all as if each is the one, and some invariably will be.
Natural greed = fear (same emotion) prevents us from doing that. Hence, we invent creative ways to exit trades that pander to our emotional weakness. Whatever works for us in the end is all that matters. Even if it ain't optimal, it may the only way which is long-term sustainable.
That is the difference between theory and reality for a profession colored in endless shades of gray rather than painted purely black & white.