The Ultimate Risk Management Tool: Equivalent Risk
Saturday, July 24, 2010 at 08:37PM
Timothy Morge

I was asked earlier this year by several elementary schools to teach the basic of trading to their gifted students; one of the students happened to be my eleven-year-old son, Sean. The students competed in anational stock trading contest that ran from mid-January through late-April. The students could only be long stocks and each school had a team (since these were only the extremely gifted students at each school, the groups were small—three or four students per team, on average). I taught them a simple charting methodology (I called it “crayon drawing” because it was based on market structure and simple lines—no indicators were used—though the use of strict money management was featured prominently each time we met. I refused to give them trade ideas, nor would I tell them where and when to get out, profit, or loss. I would point them, using questions, to a line of reasoning that would allow them to find the answers they needed themselves. I am proud to say that three groups I helped all finished in the top ten in the country. The two in Illinois finished third and fifth, and the school system in Arizona—where I now live—has not yet given me permission to release any information more specific, but the Arizona team finished in the top ten as well.)

My first impression? We should have ten- and eleven-year-olds manage our retirement money! The three groups averaged a 12.4% non-annualized increase in the value of their trading account over that short period of time, using no leverage and only being able to be long stocks. They set their maximum risk to no more than 20% of their account on open positions, though they never approached this level of risk. One of the main tenets in my own trading, and one of the things I insist upon when I mentor other professionals is that stops are always in place the moment a position is put on, as well as logical profit targets. I taught this to the students and they practiced it religiously.

What made these students take to trading so quickly and seemingly easily? My slogan is “Master Your Tools, Master Yourself.” I believe mastering yourself and your emotions about positions and money (greed and fear, the “need” to make money) is the most difficult part of trading. I try to build simple tools to help take these emotions out of most traders’ minds, but at this young age, though the students are truly enthusiastic, they are generally not burdened by these emotions. They have no house payments and all the other burdens so many adults have when they first begin to learn to trade. These young adults also have a “clean slate.” They have not been bombarded with the unrealistic and even fraudulent claims so many vendors use when trying to sell their trading books, courses, or software. To these students, this is just another skill, like long division or expository writing, which they have to master, though I dare say the students I helped seemed a bit more
enthusiastic about learning to trade than learning long division!

My son really enjoyed the experience. Those of you who follow my writings here at, and the presentations I give at The Traders Expos may know that Sean has been helping me update my hand-drawn charts for several years, and has spotted several incredible opportunities that I managed for him (his sharp eyes and charting abilities led to a nice short crude oil position just above $146 a barrel and a nice long position at $35 a barrel). It's safe to say that his college fund is ready to go!

As soon as school was out this year, I got an unexpected request from him: He asked me when I started to learn about trading. Regular readers here or people who follow my writings on my Web pages know that I was extremely lucky to have an older brother who loved to speculate in the commodity markets. His interest in trading and a family friend who owned a large scrap yard in Chicago and traded to hedge his cash metals holdings led to me learning about charting and trading at Sean's age. Once I repeated the story to Sean, he immediately asked me if he could trade an account like I did when I was his age. To be honest, I felt I owed him the same opportunity that my brother gave me, so I offered him this opportunity:

He's in the middle of his first simulated trade, and he came rushing into my office during one of my live mid-day mentoring sessions to tell me he got filled on his entry, so several hundred people are now watching the results of his trade live as he moves the stop orders closer. He is nicely profitable in this first trade and about to enter his first stop profit order today after the market closes.

But besides successful simulated trading, he has to learn and master what I consider to be important tools that will give him an edge in the marketplace. For example, over the weekend, we were updating weekly commodity futures charts and cash forex charts. Of course, I never saw the question coming: “Dad, can I trade futures and forex in my simulated account?” I thought about limiting him to stocks, but I teach everyone that the repeatable patterns you should be looking for and researching come in all markets and in all time frames. Since he is in middle school, I wouldn't let him focus on short-term trading, but I decided not to limit him to just stocks.

That opened a whole new set of tools and techniques for him to learn, but I like teaching and I have all the tools pre-built for my own trading. If he was going to trade stocks, futures, and forex, one of the first things I needed him to learn was the concept of equivalent risk. Even if he only traded stocks, this is a very important concept that very few traders understand or utilize. So let's dig into this topic using some simplified examples I put together for people who have only a basic understanding of spreadsheets. (Like most people, I use Microsoft Excel.)

Many retail traders trade in blocks, meaning that they always buy 100, or 1,000, or 10,000 shares of whatever they are trading. If it goes up, they make money, and if it goes down, they lose money. But is always trading the same amount of shares exposing their account to the same risk each time they take a trade? Maybe a simple image will make the flaw easy to spot:


This trader always buys or sells 10,000 shares of whatever he is interested in, regardless of price or the volatility of the stock. This trader is trading the same number of shares each time he trades, but he is not exposing his capital to equivalent risk.

The first thing that jumps out at most people when I say the trader is not exposing his account to equivalent risk is the difference in price between the two stocks. Ten thousand shares of Apple (AAPL) was worth about $2.5 million US dollars when this was written. Ten thousand shares of Archer Daniels Midland (ADM) was worth about $260,000 US dollars. The trader would obviously have much more capital invested in 10,000 shares of AAPL compared to 10,000 shares of ADM. But that's easily fixed, right? What if the trader simply did the math so he invested in an equal face value of each stock? Let's take a look:

Let's do the math. One thousand shares of Apple was worth about $250,000, and 9,600 shares of ADM was worth about $249,600. Now that the trader is initially investing a similar amount of money in each stock, is he exposing his account to equivalent risk?

There are many ways to measure volatility; none are perfect and some are extremely complicated. For this exercise, I used a very rough measurement of the Average True Range (ATR), which is an average of the daily high minus the daily low, adjusted for market gaps. This measurement is available on all charting packages, and although it is a very basic measurement, it's a starting point (I do not use the ATR in my own position sizing and money management calculations, but as I said, none of these measurements are perfect and this exercise is meant as a starting point.)

It's easy to compare the volatility of these two stocks: Simply take the average true range and divide it by the price of the stock. By this measurement, Apple has an ATR volatility measurement of 0.0344 and ADM has an ATR volatility measurement of 0.0230. If you've seen charts of these two stocks, it shouldn't surprise you that Apple is a more volatile stock. But adjusting just the amount of cash you invest in each stock so that you have invested an equal amount of cash doesn't reflect the differences in the volatility of the two stocks. And if we add instruments like exchange traded funds (ETFs) and futures and cash forex to the things we might trade, the volatility becomes extremely important, though most retail traders don't understand they are not accounting for the different volatility of the instruments they trade, nor do they change their position sizes according to the volatility. Let's look at a series of simple Excel spreadsheet examples that will show you how to get started measuring the volatility of the instruments you are trading and how to compare them—and then enter into positions that expose your account to similar, if not equivalent risk.

Let's start out with an Excel spreadsheet and a handful of popular instruments: Apple Computer [a stock],  GLD [The ETF for Gold], SPY [basically a closed-end mutual fund that allows you to buy and sell the stocks that make up the S&P 500 Index in one simple trade--it preceded the ETFs of today but functions about the same way], the CME E Mini 500 S&P Futures [the most popular stock index future traded in the United States, it basically mirrors the cash S&P 500 Index] and the Comex Gold Futures [the most popular futures contract based on the price of cash Gold listed on a United States Exchange].

Let's take this diverse list of instruments and examine different ways we might try to get to the point where we are exposing our account to similar if not equivalent risk when we take a position in any of these instruments. Let me re-state the idea: When we take a trade in Apple computer, we want to expose our capital to the same amount of risk when we take a position in Gold futures several days later.

Some of you may still be wondering why we want to try to expose our account to similar risks each time we take a trade: If you have a wonderful day or week trading Apple Computer and then have a losing trade in Gold Futures, if you are using equivalent risk and a good risk/reward ratio [the importance of which I have written about many, many times], you should still have a very nice profit when you net the outcomes of the two trades.

We've already discussed this and the obvious conclusion is that the price of the instrument does not necessarily relate to its value, especially when comparing it to other instruments. Let's keep building our spreadsheet.

Now we add our first measure of the volatility of each of the instruments we are going to compare. There are many ways to measure volatility and many ways to use these different measurements. For example, a very short-term trader may not be interested in knowing that there are occasionally 'out of character' spikes in price in the instrument he or she trades every five or ten years on weekly bars because they are focused on five minute bars [These events are called 'Black Swan' events and although most people believe these events occur about once every 100 years, the measurements simply predict  that in the case of normally distributed data, roughly 1 in 22 observations will differ by twice the standard deviation or more from the mean, and 1 in 370 will deviate by three times the standard deviation. They are of much greater interest to portfolio managers or traders that hold positions over long periods of time. I use a longer term approach to calculating my measurement of risk and volatility, so I do take into consideration these 'third deviation' moves.].

But for this exercise, using a 20 period average true range is a good start for our volatility measurement of each vehicle. Begin with this measurement and you can always choose to replace it after you work with it for some time and learn about other methods and their strengths and weaknesses.

To do any calculations, we'll need to know both the current price of the instruments but also, the value of one dollar in a stock [of course, one dollar in the United States is worth one Dollar] or one point when trading futures [one point refers to a move from 1075.00 to 1076.00 in the E Mini S&P futures; it refers to the move from 1250.00 to 1251.00 in the Gold Futures]. These values are assigned by the exchanges.

I NEVER trade without entering an initial stop loss order into the market at the same time I enter my entry order; I want my capital protected at all times. I have a maximum size stop loss I use based on my research of the a combination of the volatility of the instrument, as well as how far each instrument can trade past market structure roughly 80 percent of the time and still return to the major trend. Some people feel this is a redundant measure of volatility, but it is a number that relates to my own willingness to risk a certain maximum amount of capital for each instrument, based on its trading characteristics--do not confuse this with the average true range, for instance. I add the size and value of my maximum stop loss for each instrument I trade so I can compare what I am risking.

Now let's start building the calculations that will allow us to compare risk! I'll begin by assuming we are trading 10,000 shares of stock each time we make a trade or 10,000 futures contract. Let's see how that works out numerically.

Just glancing quickly at the row marked 'Dollar Risk on Position' should be an eye opener for those of you that always trade the same number of shares each time you trade different stocks or trade the same number of futures each time you trade different futures. For example, if you trade 10,000 shares of Apple, using the ATR method, you are risking $86,000 if you bought the high and sold the low of the day as projected by the ATR [this assumes you are not using stop loss orders to limit your risk or that your stop loss order is larger than the ATR projected move for the day]; if you traded 10,000 shares of the ETF GLD, you would be risking $20.000. These risks are not equivalent and it gets even more striking if we compare the risk associated with taking a position of 10,000 shares of Apple stock and 10,000 E Mini S&P futures: You'd be risking $86,000 on the Apple position and $9,000,000 on the E Mini S&P futures position - that's an incredible difference in risk!

I'm not suggesting the majority of traders or even a few traders are out there trading 10,000 shares of Apple stock and making the assumption that they are taking the same risk when trading 10,000 E Mini S&P futures. But I am suggesting that the majority of traders have not done an exercise like this and really don't have any idea how the risk on each instrument they trade compares. And it is something each trader needs to know if they trade multiple instruments.

So let's build a new set of calculations and see if we can come with something that approaches 'Equal Risk' for each instrument we trade, each time we take a position.

By taking the ATR of an instrument and multiplying it by its Dollar value or One Point Value and the maximum stop loss I am willing to use for that particular instrument, we can easily generate a standard measurement of risk for each instrument; we can then use that standard risk measurement to compare the 'riskiness' of one instrument as it compares to others.

Are there other ways to measure the risk of an instrument? Yes. This is meant as a beginning example and is actually quite useful, as simplistic as it is, but feel free to explore and use other measures of risk or volatility.

Now let's build a table around this standard risk measurement and see if we can work our way to actual equivalent risks across these instruments.

By using the standard risk measurement, we are now able to use a simple formulae to come up with similar or 'equivalent risks' when taking positions in any of these instruments. This table assumes that the standard position used to determine the position size in any of the other instruments is based on 10,000 shares of Apple, but you could easily change the number of shares or even change the standard from apple computer to any instrument [for example, I use U.S. 30 Day Treasury Bills as my 'standard unit' and compare the riskiness of all other instruments to 30 Day T-Bills].

Note I purposely shared the Excel formulas when making calculations; and as I have said several times, this worksheet is meant as a starting point for each of you. To get a real feel for the relatively volatility of the instruments you trade, I urge you to re-create this spreadsheet, with the instruments you actually trade - or you can simply use the instruments I have used and practice your excel skills. But if you have the ability to get the current 20 day ATR for each instrument, when you create your own copy, use the current ATR and don't forget to use your own maximum stop loss sizes!

I hope you find this exercise interesting. Many of you may have never thought of looking at your position sizes using this type of tool - give it a try! Some of you may have better tools for comparing the volatility of instruments - If so, please feel free to drop me an email and share your thoughts, questions and criticisms.

I wish you all good trading.

Article originally appeared on MedianLine - Classic Trading Techniques Energized (
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