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Probability and Risk/Reward Ratio

Posted by Satuki On January - 26 - 2009

For traders like you and me, stocks are nothing but electronic symbols. I only use volatility and liquidity to choose what stocks I trade. I will talk about why we need volatility and liquidity in the future. They are very easy to understand. The focus of today’s topic is Probability and Risk-Reward-Ratio (R-R-R). These two elements are a very crucial part of our trading career.

 

First let me use a simple game to illustrate what probability is in trading. We all know that the probability of an outcome of flipping a coin is 50%. If you bet a dollar on head and I bet a dollar on tail. No matter how many times we play the game, we would break even in the end since the probability is 50%. Neither of us has an edge over the other. However, if you somehow increase your probability to 51%, you would beat me in the end. That is how casinos make money. Most people who go to casinos lose eventually. The house is always a winner since the odds are in the house’s favor. That is probability.

 

Now let’s change the rules of the game. If you win, you make 2 dollars and if you lose, you lose 1 dollar. In other words, you risk a dollar to make 2 dollars. As for me, the rules are still the same. I risk one dollar to make one dollar. Your R-R-R becomes 1:2. Mine is 1:1. Probability is still 50%. It is not hard to see you will take all my money quickly. That is risk-reward-ratio.

 

Trading is not a zero-sum game since you will have to pay commissions to your broker. Even if your probability is 50% and R-R-R is 1:1, you’d still lose. So trading is a little bit harder than flipping a coin. Now it is quite obvious what we need to improve here. If you can prove that the accuracy of your system is over 55 percent no matter how market behaves and your R-R-R is 1:1, then what a brain surgeon makes would seem like peanuts to you. It seems easy to trade with an R-R-R of 1:1 since you really do not have to wait for a stock to move that much. However, the accuracy of your system is what you need to work on and it is extremely hard.

 

Another way is to put up with your poor accuracy and increase your R-R-R. As you can see from the day I traded CMA, my accuracy was pathetically low. There were 4 trades. Only one made it. However, I still made some good money (percentage wise 3%). If I had traded 50K for each position, I would have been up $1500 that day. Of course, most of your positions will fail since it is hard for them to move such a large distance. This methdology will test if you have mastered the time and battle proven strategy, which is “cut your losers and let your winners run”. Trust me. Holding onto your winners is much harder than cutting your losers.

 

Of course, if you had a system that has an accuracy of 55% and an R-R-R of 1:2, I think you would be richer than Warren Buffet in the foreseeable future. 


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  • MACD coupled with positive/negative divergence analysis gives pretty good signs of possible reversals. The longer time frame you use, the more accurate it is.

    I am not very familiar with options. But It always holds true that you will have more risk if you aim for more profit.

    I do not think It is true that your risk is very limited when trading options. If you open an option position with 500 dollars, at first it seems that you have an automatic stop loss of 500 maximum. If your option goes out of money when it expires, you lose 500 dollars. So you just lost 100% of your capital. Percentage wise, it is huge. I think It is neither more rewarding nor less risk than trading stocks . They are same.
  • Aaron
    Options leverage up your investment a lot more than buying stock. Just look at the risk/reward profile. An at the money call or put option will give you ROUGHLY 20 times the buying power than buying the stock. If a stock costs $40 then it's gonna cost $4000 to control 100 shares. If I buy an at the money option for $2 then I can control the same 100 shares for $200. If the stock moves up 3 dollars in 5 days you made $300 on the stock purchased for a profit of 7%. With the option you'd make around $150 for a profit of 75% on $ risked. So, you can use this leverage to control more shares (I could've controlled 2000 shares at $2 to equal the 4,000 in the stock), or reduce capital at risk while attaining higher % gains. In this example I could've used $400 in options to do the same thing it took $4000 to do with stock.

    There are several ways to use options. If time is of concern, spread the trade off as a vertical credit spread, and be a seller of Out of the money options. This way you have room for error and can make money by exploiting time decay. As with any trading your technical setups are everything. Knowing when to enter, when to exit is everything. I've found that using the MACD in conjuntion with basic support and resistance levels works really well.
  • It is true that you could have more leverage using options. It is the pretty much the same as futures. The leverage is around 1:12 in E-Mini, using 4000 to control 50k worth of stocks. But you would have more risk. That is more leverage, more risk. There are simply no mathematical advantages in futures or options.
  • David
    Hi Satuki,

    I very much appreciate your risk management system. Its effectiveness is especially apparent in your January trading results.

    I recently cam across an option trader’s strategy in which he buys only OTM options and does so near the term month, “even if expiration day may only be a day or two away”. He uses MACD to forecast the underlying equity direction change or reversal. The gentleman’s name is Dale Wheatley. Here’s a quote describing his system, which he calls the "The Options Hunter's Strategy": “Dale's unique system uses chart pattern analysis as a foundation to determine the best setups to achieve the greatest percentage gains. Additionally, Dale focuses on a classic indicator divergence over different time frames as a confirmation of his chart pattern. Finally, Dale's strategy leverages the extremely high percentage gain potential of options. You can benefit from this strategy--even starting with very little capital. Risk is very limited with unlimited upside potential and no day trading is required.”

    Have you ever come across such an approach, and what do you think of it?


    Cheers,

    David R.
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