Quote from jerryz:
say you have two systems with the following characteristics:
both have 50% win rate.
System1: winners gain 2 and losers lose 1
System2: winners gain 4 and losers lose 2
Profit factor:
System1: .5*2/.5*1 = 2
System2: .5*4/.5*2 = 2
Expectancy:
System1: .5*2-.5*1 = .5
System2: .5*4-.5*2 = 1
these two systems have the same profit factor but different expectancy.
to me there are two basic stats: hitratio and payoff ratio (avg winner/avg loser). and thinking like this expectancy is the same in both cases.
i think you are getting confused by thinking in absolute terms. the second system has double leverage and your absolute expectancy therefore doubles. in relative terms the systems are identical IMHO.
nevertheless both profit factor and expectancy do not account at all for smoothness of results ...