Kelly Criterion Explained the Formula s Use in Trading
Post on: 16 Март, 2015 No Comment
Before reading this lesson you should have previously read through:
Based on 100+ previous trades, the Kelly criterion tells you what percentage of your trading account you could sensibly risk on a similar new trading position.
The Kelly criterion is an advanced money management tool that helps you work out how much money you can risk on each new trading position based on how well you have done with similar trades in the past.
One thing you must understand when using the Kelly criterion is that this is a method used for diversification. Traders and investors have different preferences as to how they manage their equity. Some traders will use the Kelly criterion to base an individual trade or investment on, whilst others will use this method to allocate a percentage of their account to a particular sector or industry.
The Kelly criterion is based on your previous trades
It looks at the results of your previous similar trades and gives you a so-called Kelly percentage number. This number tells you what percentage of your trading account you could risk on this kind of trade at the current time.
Calculating the Kelly criterion
The win percentage probability is the probability that a trade will have a positive return. The win to loss ratio is equal to your total trading profits divided by your total trading losses.
Calculating the Kelly criterion is relatively simple and relies on two basic components: your trading strategy’s win percentage probability and its win to loss ratio.
The win percentage probability is the probability that a trade will have a positive return. The win to loss ratio is equal to your total trading profits divided by your total trading losses.
These will help you arrive at a number called the Kelly percentage. This gives you a guide to what percentage of your trading account is the maximum amount you should risk on any given trade.
The formula for the Kelly percentage looks like this:
Kelly % = W – [(1 – W) / R]
- Kelly % = Kelly percentage
- W = Win percentage probability (total number of winning trades/total number of trades)
- R = Win to loss ratio (total amount gained by winning trades/total amount lost by losing trades)
An example of calculating the Kelly percentage
The following is an example of how you calculate the Kelly %:
Calculating W
Lets say that you have been trading with a system that has given you 40 winning trades and 60 losing trades.
Calculating R
Calculating Kelly %
The calculation for the Kelly % would then be as follows:
Kelly % = W – [(1 – W) / R]
Kelly % = 0.4 – [(1 – 0.4 ) /3 ]
Kelly % = 0.2 or 20%
This means that you can risk 20% of your equity on a single investment or trade.
Of course, this does not mean that you blindly base 20% of your account on a trade if you are day trading or conducting any kind of short term trading – a series of losses will wipe your account out immediately. However, it may if you are trading or investing long term or help you diversify your investment portfolio and allocate a proportion of your trading equity to certain assets.
When to over-ride the Kelly criterion
It is important not to over-rely on the Kelly Criterion as your sole method of judging position sizes and risk tolerance.
As with all forms of money management techniques and calculations, you should always work out – and stick to – a maximum risk level for any trade, regardless of what formulas like the Kelly criterion tell you.
Do not over-rely on the Kelly Criterion – never risk more of your trading account on one position than your usual maximum risk level.
For example, if the Kelly percentage indicates that you could risk as much as 50% of your account balance on a single trade and you – like most traders – have a much smaller maximum risk level, you should ignore what the Kelly percentage tells you in this instance and revert to your maximum risk as the standard.
How do I know my risk tolerance?
Only you will know your risk tolerance. It will be based on how you handle the impact of losses on your account. If ever in doubt, stick to trading with the maximum 2% risk management rule.
Traders all take a different view on what this maximum standard should be, based on their personal trading strategies and risk tolerance. The most important thing to bear in mind when setting your maximum risk level is how any losses will impact your trading account and how these losses will affect your trading psychology, etc.
For instance, if you have a very high risk tolerance you are likely to risk a greater percentage of your account balance in line with the Kelly percentage. This will result in much higher returns when your trading is successful but much more damaging hits to your account balance when it is not.
If you have a very low risk tolerance you should keep your risk on each trade extremely low, despite what the Kelly percentage suggests. This will result in much smaller profits but also smaller hits to your account balance when trades go wrong.
If ever in doubt, stick to trading with a maximum risk level of 2% of your account.
Base your calculation on 100+ trades in similar market conditions
The more trades you base your calculations on, the more accurate your Kelly percentage is going to be. To start, you should take at least 100 trades into account to make sure that your strategy is profitable.
To use the Kelly criterion, start by logging all your trades in a trading journal. detailing the size, direction, profit target and outcome of each position. Only once you have around 100 similar trades do you have enough data to base your calculations on.
To learn how to test a strategy, go to the following lesson: