BTW,
With respect to your original question, 'What is more important, Payoff Ratio or Profit Factor?', the problem with Payoff Ratio is that it compares the relative size of your wins to your losses with NO REGARD TO YOUR WIN RATE. What this means is that, used by itself, IT IS MEANINGLESS.
Consider a scalping system (system A) that has a 9 tick stop (1R) and a 3 tick target (.333R). The Payoff Ratio is .333 (.333/1). Now, compare this figure to system 'B' that has a 2 tick stop (1R) and a 3 tick target (1.5R) for a Payoff Ratio of 1.5 (1.5/1). Notice how the 'Payoff Ratio' is simply the ratio between the size of your win and the size of your loss. Which one would you want? A Payoff Ratio of 1.5 means you win 4.5X more per win per risk with system B than you do with system A! It sure sounds a lot better, but...
You don't know the WIN RATE. If system A wins 90% of the time and system B wins 30% of the time, NOW which is the better system?
You CANNOT answer that question with Payoff Ratio. But you CAN with PROFIT FACTOR. Lets do it:
System A = (90% wins X .333R = .30R)/(10% losers x 1R = .10R) = 3.00
System B = (30% wins X 1.5R = .45R)/(70% losers X 1R = .70R) = 0.64
Clearly, system A, with a very POOR PAYOFF RATIO not only BEATS system B, but ends up being a profitable system. Profit Factor gives you a way of seeing this. The Payoff Ratio for system B may deceive some traders who are not considering the winning rate.
Conclusion: Payoff Ratio is MEANINGLESS absent the win rate. Because I like to keep track of my win rate, I will continue to monitor the payoff ratio. It's nice because it's a ratio, which means it's actually giving you an R value.
Notwithstanding, if you could only use one metric to compare systems, PROFIT FACTOR wins hands down.
Also, notice how System B was a negative expectancy system, with a Profit Factor less than 1. Profit Factor tells you if your system will make money or lose money over time, as well as indicate the relative strength of your edge. To win simply use this rule: Profit Factor must be ABOVE 1 after commissions, and the HIGHER the BETTER.
INTERESTING FACT: PROFIT FACTOR AND EXPECTANCY ARE CLOSELY RELATED. Profit Factor is the RATIO of your winnings to your losses whereas Expectancy is the DIFFERENCE between your winnings and losses on a per trade basis.
We can use the above numbers to determine each systems EXPECTANCY in R multiples:
System A = (90% wins X .333R = .30R)-(10% losers x 1R = .10R) = .20R
System B = (30% wins X 1.5R = .45R)-(70% losers X 1R = .70R) = (.35R)
Expectancy is nice because it is more descriptive than even Profit Factor. You are expecting to make 20% of your risk per trade on system A over time. On system B you would expect to lose 35% of your risk per trade over time. That may give you a better 'feel' for what results to expect than by looking at Profit Factor (unless you have a lot of experience with this metric)
fastcar