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Probability of Profit | An Option Trader's Best Friend

Apr 28, 2017

By: Mike Butler

In a strategy game such as poker, some players make decisions off of instinct, while others use probabilities and numbers to make decisions.

In the world of options trading, the same behavior can be observed. As a trader, it’s best to put feelings to the side so that strategies are mechanical and based on probabilities rather than emotions.

You may be thinking to yourself, *ok, that's great and all,* *but how can I use probabilities (specifically P.O.P.) to help make me a smarter trader? *

Well, in this post we will seek to answer that question.

First, one important facet you should understand is that when we say P.O.P., what we mean specifically is - the probability of making at least $0.01 on a trade.

Now let's discuss the calculation of probability of profit, which can get a little statistically heavy in some cases, but I’ll do my best to keep it light!

To make it a little easier, we will stick with rough calculations on a couple of more basic options strategies: credit/debit spreads (defined risk trades) and naked options (undefined risk trades). It's not important to memorize these formulas, but it is useful to see them 'on paper' in order to help you to gain a full understanding of what P.O.P. is.

For credit spreads, the rough POP calculation is...

*100 - [(the credit received / strike price width) x 100].*

For example, if you have a $1 wide spread and you receive $0.40 (which is actually $40 - remember that 1 option contract controls 100 shares of stock so you have to multiply $.40 x 100 to get $40), you can expect to have close to a 60% POP.

For debit spreads, it is a similar calculation, but you will take max profit into consideration. You can take...

*100 - [(the max profit / strike price width) x 100].*

For example, if you pay a $0.10 debit (which is actually $10 - remember that 1 option contract controls 100 shares of stock so you have to multiply $.10 x 100 to get $10) to potentially make $0.90 on a $1.00 wide spread; you would have a P.O.P. close to about 10%. Formula: 100 - [(.90 / 1) x 100]

For naked options, we look at the probability out of the money (OTM). It is important to note that your P.O.P. will be greater than the probability OTM when selling naked options because the credit moves the break-even point in your favor.

For example, if you sell a put option at a strike price of $95, for a $1.00 credit (which is actually $100 - remember that 1 option contract controls 100 shares of stock so you have to multiply $1.00 x 100 to get $100), your break-even point (the point where your gains are equal to losses) is really $94. This gives you $1 of wiggle room.

Below you'll find the calculations for a few additional strategies as well as the ones that we have mentioned...

By now, you may be wondering: **am I really expected to calculate my probability of profit every time I make a trade? How do I know what it is for other strategies?**

These are both great questions! And the easy answer is – use the tastyworks trading application! If you choose not to use it, you may have to do it the ole' fashioned way.

In tastyworks, P.O.P. is featured in a number of different places. The P.O.P. for individual positions is displayed on the Positions page and new trades on the Trade page. POP is a very important concept to understand, so let’s get into it!

P.O.P. is important for a variety of reasons, but the most obvious is that it is the best indication of whether a trade has the opportunity to be a winner or not and is rooted in statistics. If a trade is placed that has a probability of profit that is 72% (like the below example), we can expect that around 7 out of 10 times, the trade will be a winner.

Statistically, P.O.P. can be utilized in conjunction with the statistics based strategy of having a high number of trading occurrences. Studies done by tastytrade have shown that an important aspect of success in trading is accumulating a number of occurrences while keeping trade sizes small relative to our portfolio. Specifically, we’re talking hundreds to even thousands of occurrences over the years, while only using a small percentage of our portfolio.

Why is having a high number of occurrences favorable for traders? Well, it is because when you have a large number of occurrences with high P.O.P., statistically, you can expect that as you increase your number of occurrences, the probability of those trades being winners moves closer and closer to the combined probability of profit for all of those trades. That may be a little confusing, so let us try another example.

Let's break it down using the trusty coin flip example. If you flip a coin, there's a 50/50 chance of head or tails, right? But if you flip it five times, it could potentially land on tails five times. This doesn't mean that the coin is rigged or that the probabilities have changed, it just means there hasn't been a high enough number of occurrences for the probabilities to play out. If you were to continue flipping it a few hundred times, the probabilities would move closer and closer to 50/50 as you continue flipping. For a more detailed explanation, check out this article.

At the end of the day, probabilities are probabilities. If we risk our entire account on one trade that has a P.O.P. of 80%, we may win; however, the statistics tell us that we will lose approximately 20% of those trades over time. If one of those times happens to be now, we would be wiped out with no cash left to put on more trades!

One final thing to note about P.O.P. is that it is directly related to the profit you can potentially make on a trade. Generally, the lower the P.O.P., the more profit you can make. The higher the P.O.P. the less profit you can make.

- P.O.P. stands for Probability of Profit, and is calculated for you in the tastyworks trading application
- The higher the POP the lower potential profit for a trade, and vice versa.
- Over a large number of occurrences, we can expect P.O.P. to average out to our average P.O.P. on trade entry

Check out Step Up to Option to learn more trading terms.

Options involve risk and are not suitable for all investors. Please read Characteristics and Risks of Standardized Options before deciding to invest in options.

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