you do need to be able to compound your capital base from accumulation of some of your trading profits.
I have a different view, nothing to do with taking the profits to pay bill but more to do with your personal ability as a trader. I firmy believe that each trader should set aside a fixed $ capital to trade and withdraw profits as they come. If your level of expertise increases and thus become more comfortable with bigger stakes then increase the $ capital but do it consciously and with a revised plan/strategy, compounding should not be a strategy for traders. In fact, the first target for a trader is to reach infinity return, only then should he consider increasing the stakes (infinity returns are reached when the capital is equal to the withdrawals)
Trading always has a risk, as you said yourself, chances of a drawdown are real, even Stanley Druckenmiller who had an unbeatable 30-year record got caught-out twice (once in the 1995 Asian crises, second with the GFC) and withdrew from trading due the stress related to trying to cover the 2nd drawdown.
The point is that there comes a time that several bad events line-up, so keeping all your eggs in one basket as one does by compounding means that when that happens, even if its a one in 30-year event, you loose it all.
The likes of Druckenmiller has an army of analysts and advisors behind him, still, he gets cought-out. Traders on ET trade part-time, probably asleep during a major black swan event, their change of a drawdown is grater than for a Druckenmiller so, in my opinion, compounding is not a good strategy.
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