Brexit, Bill Gates, and the 300 Mile Tall Man

Here’s what today is looking like in financial markets thanks to the surprise Brexit vote results last night. Suffice it to say, it’s not pretty with markets crashing -5% to -12% overnight. As we said in our post, about the Brexit being Binary Bollocks, these types of shocks can concentrate weeks to months’ worth of market movement into a single day’s trading session.  Those with a little statistical knowledge call these types of moves mutli-sigma events, which is an abbreviated way of saying prices moved many standard deviations (sigma) above or below their means. Here’s technician Charlie Biello weighing in just that way today:

Now, that bit about this type of move “supposed to happen” about 1 in every 4 million days is the result of some statistical tables assigning probabilities to different values on a normally distributed data set. Normally distributed is a statistical term meaning that any observations we see in a data set will be in a bell curve shape, with roughly 68% of the data points being 1 standard deviation above or below the average, and 95% being within 2 standard deviations of the average, and virtually no data points outside of 3 standard deviations above or below the average (just .027%).

Problem is – financial market returns are not normally distributed. If 2008 didn’t teach us that, consider the double digit sigma move during the Flash Crash in 2011, or the mother of all normal distribution killing moves – Black Monday in October of 1987.  Using a normal distribution curve, there was a 1 in a trillion chance of prices being down more than 6% on 10/21/87, yet they fell -20% in a single session.

Nassim Taleb, author of the fabulous book Black Swan separates normally distributed and non-normally distributed by saying that which belongs to normally distributed curves exists in mediocristan, and everything else exists in a place called extremistan. Unfortunately for the efficient frontier and any financial models assuming a normal curve – we live in extremistan!

Take the distribution of wealth as compared to the distribution of human height as an example. Consider that the tallest human ever recorded was 8’ 11”, or about 1.6 times the average, and 10 standard deviations outside of the average.

Now consider Bill Gates and his net worth of about \$54 Billion. How tall do you think a person would have to be so that they are as much over the average in height, as Bill Gates is over the average in wealth? 10ft tall? 50? 1000?  Would you believe 1.6 million feet, or 303 miles, tall… which is about the length of Lake Michigan. That is how much greater Bill Gates’ wealth is than the average American. He should literally not exist in a world which is normally distributed, being thousands of standard deviations above the average. But he does exist, and those \$54 Billion are really his, making it painfully obvious for those of us down there within a few standard deviations of the mean that we are in fact in extremistan.

One comment

1. Very well written post, thanks for the information and keep writing such amazing post.

Disclaimer
The performance data displayed herein is compiled from various sources, including BarclayHedge, and reports directly from the advisors. These performance figures should not be relied on independent of the individual advisor's disclosure document, which has important information regarding the method of calculation used, whether or not the performance includes proprietary results, and other important footnotes on the advisor's track record.

The programs listed here are a sub-set of the full list of programs able to be accessed by subscribing to the database and reflect programs we currently work with and/or are more familiar with.

Benchmark index performance is for the constituents of that index only, and does not represent the entire universe of possible investments within that asset class. And further, that there can be limitations and biases to indices such as survivorship, self reporting, and instant history. Individuals cannot invest in the index itself, and actual rates of return may be significantly different and more volatile than those of the index.

Managed futures accounts can subject to substantial charges for management and advisory fees. The numbers within this website include all such fees, but it may be necessary for those accounts that are subject to these charges to make substantial trading profits in the future to avoid depletion or exhaustion of their assets.

Investors interested in investing with a managed futures program (excepting those programs which are offered exclusively to qualified eligible persons as that term is defined by CFTC regulation 4.7) will be required to receive and sign off on a disclosure document in compliance with certain CFT rules The disclosure documents contains a complete description of the principal risk factors and each fee to be charged to your account by the CTA, as well as the composite performance of accounts under the CTA's management over at least the most recent five years. Investor interested in investing in any of the programs on this website are urged to carefully read these disclosure documents, including, but not limited to the performance information, before investing in any such programs.

Those investors who are qualified eligible persons as that term is defined by CFTC regulation 4.7 and interested in investing in a program exempt from having to provide a disclosure document and considered by the regulations to be sophisticated enough to understand the risks and be able to interpret the accuracy and completeness of any performance information on their own.

RCM receives a portion of the commodity brokerage commissions you pay in connection with your futures trading and/or a portion of the interest income (if any) earned on an account's assets. The listed manager may also pay RCM a portion of the fees they receive from accounts introduced to them by RCM.

Limitations on RCM Quintile + Star Rankings

The Quintile Rankings and RCM Star Rankings shown here are provided for informational purposes only. RCM does not guarantee the accuracy, timeliness or completeness of this information. The ranking methodology is proprietary and the results have not been audited or verified by an independent third party. Some CTAs may employ trading programs or strategies that are riskier than others. CTAs may manage customer accounts differently than their model results shown or make different trades in actual customer accounts versus their own accounts. Different CTAs are subject to different market conditions and risks that can significantly impact actual results. RCM and its affiliates receive compensation from some of the rated CTAs. Investors should perform their own due diligence before investing with any CTA. This ranking information should not be the sole basis for any investment decision.

See the full terms of use and risk disclaimer here.

Disclaimer
The performance data displayed herein is compiled from various sources, including BarclayHedge, and reports directly from the advisors. These performance figures should not be relied on independent of the individual advisor's disclosure document, which has important information regarding the method of calculation used, whether or not the performance includes proprietary results, and other important footnotes on the advisor's track record.

The programs listed here are a sub-set of the full list of programs able to be accessed by subscribing to the database and reflect programs we currently work with and/or are more familiar with.

Benchmark index performance is for the constituents of that index only, and does not represent the entire universe of possible investments within that asset class. And further, that there can be limitations and biases to indices such as survivorship, self reporting, and instant history. Individuals cannot invest in the index itself, and actual rates of return may be significantly different and more volatile than those of the index.

Managed futures accounts can subject to substantial charges for management and advisory fees. The numbers within this website include all such fees, but it may be necessary for those accounts that are subject to these charges to make substantial trading profits in the future to avoid depletion or exhaustion of their assets.

Investors interested in investing with a managed futures program (excepting those programs which are offered exclusively to qualified eligible persons as that term is defined by CFTC regulation 4.7) will be required to receive and sign off on a disclosure document in compliance with certain CFT rules The disclosure documents contains a complete description of the principal risk factors and each fee to be charged to your account by the CTA, as well as the composite performance of accounts under the CTA's management over at least the most recent five years. Investor interested in investing in any of the programs on this website are urged to carefully read these disclosure documents, including, but not limited to the performance information, before investing in any such programs.

Those investors who are qualified eligible persons as that term is defined by CFTC regulation 4.7 and interested in investing in a program exempt from having to provide a disclosure document and considered by the regulations to be sophisticated enough to understand the risks and be able to interpret the accuracy and completeness of any performance information on their own.

RCM receives a portion of the commodity brokerage commissions you pay in connection with your futures trading and/or a portion of the interest income (if any) earned on an account's assets. The listed manager may also pay RCM a portion of the fees they receive from accounts introduced to them by RCM.

Limitations on RCM Quintile + Star Rankings

The Quintile Rankings and RCM Star Rankings shown here are provided for informational purposes only. RCM does not guarantee the accuracy, timeliness or completeness of this information. The ranking methodology is proprietary and the results have not been audited or verified by an independent third party. Some CTAs may employ trading programs or strategies that are riskier than others. CTAs may manage customer accounts differently than their model results shown or make different trades in actual customer accounts versus their own accounts. Different CTAs are subject to different market conditions and risks that can significantly impact actual results. RCM and its affiliates receive compensation from some of the rated CTAs. Investors should perform their own due diligence before investing with any CTA. This ranking information should not be the sole basis for any investment decision.

See the full terms of use and risk disclaimer here.