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How to compute optimal risk with calculator and examples

When the statistics are known to be consistent a formula for the optimal stake is easy to calculate

The amateur versus the Pro trader and how they differ

Pro traders know the importance of treating all trades with equal risk percentages and not getting overly attached to their positions.

The Pro will typically risk around 0.25% to 1.5% of the account balance on a trade from entry price to stop.

The amatuer may risk a bit more, such as the Russian roulette style of risking 100% on a trade.

Over a longer time horizon the survival rate drops to zero. Just because De Niro survived it doesn't mean everyone will.  It would have been a dull film if he died.


 Amatuer traders play Russian roulette with their accounts


Image from "The deer hunter"

In the grand scheme of things the Pro trader knows his optimal risk percentage and will divide it up so the sum of each trade never exceeds it

Beginners also often neglect to use stop losses as they have no expectation of their plan failing, often with catastrophic results

A Pro trader might have an optimal risk percent of 32% and can have thirty two trades running with 1% risk in each.

Image below shows the gains generated by three traders who did the same identical trades at the same identical time:

Why are the outcomes so very different? The blue line is triple the value of the black line?

The difference is caused only by one factor - Optimized trade sizing - Take a long look at the graph below


Three traders all doing the same trades but different results

 

Introduction on how to calculate this essential formula and the statistics needed to compute it


Computing optimal trade risk is an essential formula

The statistics you need before doing the calculation.

 

In the table below you can find your optimal risk.

 

 

This is based on the statistics you enter staying constant in the future.

 

Please be aware that figures derived from just a few trades will give you a spurious output.

 

Better is to have hundreds of trades to generate the statistics you use.

 

Instructions:

 

Type your risk / reward ratio in the top box

 

Type your win percent into the second box ( using 0.48 for 48% )

 

Type the number of open trades you run at once in the third box

 

 

Press Compute

 

If you get a red number you need to improve your statistics somewhat.

 

 

If you get a green number you can bring in the green

 

If you have started to read this page then you already have an edge.

What you need to compute optimal risk are the following statistics.

Risk / Reward ratio

This is the size of your average winning trade / the size of your average losing trade.

A good trader would perhaps have a risk reward ratio of between 1.8 to 2.5 times average losing trades.

If you have an average winning trade of = 2000 and an average losing trade of 800 then you can calculate 2000 / 800 = 2.5

You can use money values OR percent values just as long as you don't mix them up. Thus if your average winning trade is 2.5% of your equity and your average losing trade is 1.2% of your equity you can compute 2.5 / 1.2 = 2.08

Winning percent ratio

This is simply the percentage of trades that are winning. If you do 100 trades and 40 of them are winners that is 40% so type in 0.40 in the box

What if the output number is negative?

This is the scenario when your statistics show a non profitable losing strategy.

The optimal risk amount would be zero as the pay-off rate is negative.

If you have achieved a zero payoff then you need to improve your system or trading style until you can get positive reading from the formula.

Consider a roulette wheel which has ALWAYS got a negative payoff, which means that the optimal bet is zero. (Do not bet)

   

 

 

 

Calculate your optimal risk percent  here

Risk reward ratio                                                  

  Winning percent                                                   

Number of open trades                                    

Optimal risk percent is                         

Optimal risk per trade is                       

                   



The chart below shows another example of two traders and paradoxically the red line graph trader had better statistics.

The blue line trader used optimal risk to figure out the best trade size.

Trader blue = 50% win rate - 1.9 :1 risk reward ratio risked 23.3% per trade

Trader red = 50% win rate - 2 :1 risk reward ratio risked 10% per trade

and here is the point

If the red (better) trader used position sizing he would have got 14,752 in equity which is almost double of the blue trader and almost triple of his results.


It is simple to replicate this experiement in an Excel sheet to prove it if you want to reach a higher pinnacle of success.


Two traders doing the same trades but different results
 

You can buy this formula together with details how to use it here .

 


Purchase an Excel sheet with the formula and a Word doc explaining how to use

After purchase the files will be sent back to your PayPal email address within 24 hours


$29.00


 

 

This page is a very basic introduction to position sizing and optimal risk

 

If you want more advanced information there are two authors who are very experienced in this area.

 

Mr Ed Thorp. He wrote a very detailed paper on this subject. A maths genius with a crazy sense of humour and clarity of writing which is hard to beat.

 

From memory this book - article - pdf was called "The mathmatics of gambling" and you can do well to study it carefully as it is superb.

 

Dr Van Tharp. (deceased)  His book "SuperTrader" contains several methods of position sizing and computing optimal risk.

 

Other methods described take into account the maximum drawdown factors.


Other important points to note.

Depending on trading styles and indeed trading system styles the risk reward ratios and win percent ratios will differ wildly.

A trend following system will usually have a lower winning trade percentage compared to a rapid exit scalping strategy which might exit when an "overbought" situation arises.

Typically a good trend following strategy may have R-R of between 1.7:1 all the way up to 3.3:1 ( which is expectional ) and a win percent of 25-60%

In comparison the scalping in and out system would have a much lower risk reward ratio of about 1.4:1 and a win percent of 75% as the scalping trader takes profits quickly.

Each system is "correct" providing it is profitable AND suits the personality of the person using it.




Relating to these pages you can practice optimal risk use is the Trading IQ Game which generates a detailed report showing your stats as above

Sign up and then log in to take full advantage of its features then you can truly see how much difference it makes. Real market data moving very fast!


Trading IQ Game

Or if you prefer to keep reading more educational content the pages below are for you

You might also enjoy this crash calculator modelled on 1987

And the AMAZING Future price maximum and minimum price target computer


Trading Lessons in several parts for newbies and improvers


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White to play mate in two moves

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Chess puzzle mate in two

 
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About

Precision Trading Systems was founded in 2006 providing high quality indicators and trading systems for a wide range of markets and levels of experience.

Supporting NinjaTrader, Tradestation and MultiCharts, coming soon are TradingView and possibly MetaTrader resumption.

 

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Page revamped on August 2nd 2023   - New responsive page GA4 added canonical this. 5/5 html baloon  alighnment fixed and responsive