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What is Expectancy?

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by Chris Perruna -  Aug 13, 2007
7.9 (from 14 ratings)

In fact, you could come up with any number of scenarios that would give you a positive, or negative, expectancy. The interesting thing is that most of us would feel better with a system that produced more winning trades than losers. The vast majority of people would have a lot of trouble with the first system above because of our natural tendency to want to be right all of the time. Yet we can see just by those two examples that the percentage of winning trades is not the most important factor in building a system. "
- Trader Mike

Most traders look for three major factors when developing a system:
The right odds or positive expectancy
Multiple trades (opportunity)
Shorter holding periods to compound the profits

Let’s look at the calculation one more time using only percentages:
PW: 48%
AW: 10%
PL: 52%
AL: 4%

(48% * 10%) - (52% * 4%) = 2.72%

Using a trade size of $12,500, each trade would return you $340 or 2.72% (profit). Let’s say this system gives you 200 trades per year; your result would be a $68,000 profit with only 1% of equity risked or $12,500 on $100,000. This doesn’t include compounding profits with each successful trade.

A positive expectancy can come from an unlimited amount of numbers or scenarios. You could have a system that produces winners 30%, 50% or 80% of the time and each system could be positive or negative based on PW, AW, PL & AL. An infinite number of trading systems and/or number combinations can be used to find a positive expectancy system.

The one thing I have realized over the past few years as my account grows is the fact that opportunity must exist to make money with a positive expectancy system. Think of the casino; the more you play, they more they win. The same is true for trading; the more you play with a positive expectancy system, the more your odds are for that system to return the expected number.

I have been tailoring my system to produce more trades and opportunity so I can take full advantage of the mathematical odds. As many of you know, I graduated as an architectural engineer and love numbers since my courses were based in advanced math and physics. Numbers don’t lie; I love to play poker because I understand the odds so I am typically successful over long stretches of time at the table because I have the emotional stability to only jam the pot when the odds are in my favor. Like stocks, I do my best to let go of losing hands and losing positions (sometimes I follow a committed hand in poker or a committed position with stocks but the odds are no longer in my favor and more times than not, I lose the hand or settle for my maximum stop). I am attracted to games with numbers and odds and the stock market is the best game in the world (in my opinion). Poker is a close second.

I want you to think about one more example (provided from ARB Trading - www.arbtrading.com)

"You will be more profitable

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