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Trading Mathematics and Trend Following

Some quick points, to be making money, Profit Factor must be greater than 1.

  • Profit Factor (PF)
  • = Gross Gains / Gross Losses
  • = (Average win * number of wins) / (Average loss * number of losses)
  • = R * w / (1-w)
    • where R = Average win / Average loss
    • w = win rate, i.e. % number of winners compared to total number of trades

Re-arranging, we have

  • w = PF / (PF + R)
  • R = PF * (1 – w) / w

Sample numbers showing the minimum R required to break-even (i.e. PF = 1, assuming no transaction costs) for varying win rates.

  • w = 90% >> R = 0.11
  • w = 80% >> R = 0.25
  • w = 70% >> R = 0.43
  • w = 60% >> R = 0.67
  • w = 50% >> R = 1
  • w = 40% >> R = 1.5
  • w = 30% >> R = 2.33
  • w = 20% >> R = 4
  • w = 10% >> R = 9

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