There are a few reasons why this strategy is attractive to currency traders.
Firstly it can, under certain conditions give a predictable outcome in terms of profits. It’s not a sure bet, but it’s about as close as you can get.
Secondly it doesn’t rely on an ability to predict absolute market direction. This is useful given the dynamic and volatile nature of foreign exchange.
With deep enough pockets, it can work when your trade picking skills are no better than chance. Though it does have a far better outcome, and less drawdown, the more skilful you are at predicting the market ahead.
And thirdly, currencies tend to trade in ranges over long periods – so the same levels are revisited over many times. As with grid trading, that behavior suits this strategy.
Martingale is a cost-averaging strategy. It does this by “doubling exposure” on losing trades. This results in lowering of your average entry price.
The important thing to know about Martingale is that it doesn’t increase your odds of winning. Your long-term expected return is still exactly the same. It’s governed by your success in picking winning trades and the right market. You can’t escape from that.
What the strategy does do is delay losses. Under the right conditions, losses can be delayed by so much that it seems a sure thing.
How It Works
In a nutshell: Martingale is a cost-averaging strategy. It does this by “doubling exposure” on losing trades. This results in lowering of your average entry price. The idea is that you just go on doubling your trade size until eventually fate throws you up one single winning trade. At that point, due to the doubling effect, you can exit with a profit.
A Simple Win-Lose Game
This simple example shows this basic idea. Imagine a trading game with a 50:50 chance of winning verses losing.
Table 1: Simple betting example.
I place a trade with a $1 stake. On each win, I keep the stake the same at $1. If I lose, I double my stake amount each time. Gamblers call this doubling-down.
If the odds are fair, eventually the outcome will be in my favor. And since I’ve been doubling my stake each time, when this happens the win recovers all of the previous losses plus the original stake.
This is thanks to the double-down effect. Winning bets always result in a profit. This holds true because of the mathematical fact that 2n = ∑ 2n-1 +1. That means the string of consecutive losses is recovered by the last winning trade.
If you’re interested in experimenting with the toy system, here is a simple betting game spreadsheet:
A Basic Trading System
In real trading there isn’t a strict binary outcome. A trade can close with a certain profit or loss. But this doesn’t change the basic the strategy. You just define a fixed movement of the underlying price as your take profit, and stop loss levels.
The following case shows this in action. I’ve set my take profit and stop loss at 20 pips.
|Rate||Order||Lots (micro)||Entry||Avg. Entry||Abs. Drop (pips)||Break Even (pips)||Balance $|
Table 2: Averaging down trade entry levels in falling market.
I start with a buy to open order of 1 lot at 1.3500. The rate then moves against me to 1.3480 giving a loss of 20 pips. It reaches my virtual stop loss.
It’s a virtual stop loss because in real trading there would be no point in closing the position, and opening a new one for twice the size. I keep my existing one open on each leg and add a new trade order to double the size.
So at 1.3480 I double my trade size by adding 1 more lot. This gives me an average entry rate of 1.3490. My loss is the same, but now I only need a retracement of +10 pips to break even rather than 20 pips as before.
The act of “averaging down” means you double your trade size. But you also reduce the relative amount required to re-coup the losses. This is shown by the “break even” column in Table 2.
The break-even approaches a constant value as you average down with more trades. This constant value gets ever closer to your stop loss. This means you can catch a “falling market” very quickly and re-coup losses – even when there’s only a small retracement.
Standard Martingale will always recover in exactly one stop distance, regardless of how far the market has moved against the position. (see Figure 1).
At trade #5, my average entry rate is now 1.3439. When the rate then moves upwards to 1.3439, it reaches my break-even.
I can close the system of trades once the rate is at or above that break even level. My first four trades close at a loss. But this is covered exactly by the profit on the last trade in the sequence.
The final P&L of the closed trades looks like this:
Table 3: Losses from previous trades are offset by the final winning trade.
Does Martingale Always Work?
In a pure Martingale system no complete sequence of trades ever loses. If the price moves against you, you simply double the size of the trade.
But such a system can’t exist in the real world because it means having an unlimited money supply and an unlimited amount of time. Neither of which are achievable.
In a real trading system, you need to set a limit for the drawdown of the entire system. Once you pass your drawdown limit, the trade sequence is closed at a loss. The cycle then starts again.
When you restrict the ability to drawdown, you’re no longer using a pure Martingale system. And in doing so you’re using an approximation that will always have a failure point.
Doubling-down verses Probability of Loss
The dilemma is that the greater your drawdown limit, the lower your probability of making a loss – but the bigger that loss will be. This is the Taleb dilemma.
The more trades you do, the more likely it is that those extreme odds will “come up” – and a long string of losses will wipe you out.
In Martingale the trade exposure on a losing sequence increases exponentially. That means in a sequence of N losing trades, your risk exposure increases as 2N-1. So if you’re forced to exit prematurely, the losses can be truly catastrophic.
On the other hand, the profit from winning trades only increases linearly. It’s proportional to half the profit per trade multiplied by total number of trades.
Winning trades always create a profit in this strategy. So if you pick winners 50% of the time (no better than chance) your total expected return from the winning trades would be:
E ≈ ½ N x B
Where N is the number of “trades” and B is the amount profited on each trade.
But your big one off losing trades will set this back to zero. For example, if your limit is 10 double-down legs, your biggest trade is 1024. You would only lose this amount if you had 11 losing trades in a row. The probability of that is (1/2)11. That means, every 2048 trades, you’d expect to lose once.
So after 2048 trades:
- Your expected winnings are (1/2) x 211 x 1=1024
- Your expected one off loss is -1024
- Your net profit is 0
So your odds always remain 50:50 within a real system. That’s assuming your trade picking is no better than chance.
Your risk-reward is also balanced at 1:1. But unlike most other strategies, in Martingale your losses will be seldom but very large. So managing that can be difficult, especially if you’re unlucky and it happens before you’ve had a chance to accumulate any profit!
The point to take from all of this is that Martingale can’t improve your odds of winning. It just postpones your losses. See Table 4.
|#Trades||Expected winnings||Expected loss (1 off event)||Net (average)|
Table 4: Your winning odds aren’t improved by Martingale. Your net return is still zero.
Those people who’re trend followers at heart often believe it’s better to use a reverse Martingale. The anti-Martingale or reverse Martingale tries to do the exact opposite of what’s described above. Basically it is a trend following strategy that double up on wins, and cut losses quickly.
Stay Away from “Trending” Currencies
The best opportunities for the strategy in my experience come about from range trading. And by keeping your trade sizes very small in proportion to your capital, that is using very low leverage. That way, you have more scope to withstand the higher trade multiples that occur in drawdown.
The most effective use of Martingale in my experience is as a yield enhancer.
There are of course many other views however. Some people suggest using Martingale combined with positive carry trades. What that means is trading pairs with big interest rate differentials. For example, using the strategy of long-only trades on AUD/JPY.
The idea is that positive rollover credits accumulate because of the large open trade volumes.
However there are problems with this approach. The risks are that currency pairs with carry opportunities often follow strong trends. These instruments often see steep corrective periods as carry positions are unwound (reverse carry positioning).
This can happen suddenly and without warning. For example if there are unexpected changes in the interest rate cycle, or if there’s a sudden change in risk appetite in which case funds tend to move away from high-yielding currencies very quickly (read more about carry trading.)
Analysis shows that over the long term, Martingale works very poorly in trending markets (see return chart – opens in new window).
It’s also worth keeping in mind many brokers subject carry interest to a significant spread – which makes all but the highest yielding carry trades unprofitable. Some retail brokers don’t even credit positive rollovers at all.
Lastly, the low yields mean your trade sizes need to be big in proportion to capital for carry interest to make any difference to the outcome. As the above example shows, this is too risky with Martingale.
The strategy better suited to trending is Martingale in reverse.
Using Martingale as a Yield Enhancement
Martingale shouldn’t be used as a main trading strategy. This is because for it to work properly, you need to have a big drawdown limit relative to your trade sizes. If you’re using a large pool of your trading capital, there’s a very real risk of “going broke” on one of the downswings.
A better use of Martingale in my experience is as a yield enhancer with low leverage.
The least risky trading opportunities for this are pairs trading in tight ranges.
Martingale can survive trends but only where there’s sufficient pullback. This is why you have to watch out for break-outs of significant new trends – watch out especially around key support/resistance levels.
Trading pairs that have strong trending behavior like Yen crosses or commodity currencies can be very risky.
The image below shows an example yield enhancer strategy covering a period of 3-months producing a 9% return.
The low leverage here allows drawdown to be kept within manageable limits.
Calculate Your Drawdown Limit
A good place to start is to decide the maximum open lots you’re able to risk. From this, you can work out the other parameters. To keep things simple, I’ll use powers of 2.
The maximum lots will set the number of stop levels that can be passed before the position is closed. In other words it’s the number of times the strategy will “double-down”. So for example, if your maximum total holding is 256 lots, this will allow doubling-down 8 times – or 8 legs. The relationship is:
max lots = 2Legs
If you close the entire position at the nth stop level, your maximum loss would be:
max loss = (2n-1) x s
Here s is the stop distance in pips at which you double the position size. So, with 256 lots (micro lots), and a stop loss of 40 pips, closing at the 8th stop level would give a maximum loss of 10,200 pips. Closing at the 9th stop level would give a loss of 20,440 pips.
Tip Work out the average number of trades you can handle before a loss – use the formula 2Legs+1. So in the example here that’s just 29, or 512 trades. So after 512 trades, you’d expect to have a string of 9 losers given even odds. This would break your system.
You can use the lot calculator in the Excel workbook to try out different trade sizes and settings.
The best way to deal with drawdown is to use a ratchet system. As you make profits, you should incrementally increase your lots and drawdown limit. For example, see the table below.
|Iteration #||Realized equity||Drawdown allowed||Profit|
Table 5: Ratcheting up the drawdown limit as profits are realized.
This ratchet is demonstrated in the trading spreadsheet. You just need to set your drawdown limit as a percentage of realized equity.
Warning Since Martingale trading is inherently risky your capital at risk shouldn’t ever exceed 5% of your account equity. See the money management section for more details.
Decide On an Entry Signal
The system still needs to be triggered some how to start buying or selling at some point. Any effective buy/sell signal can be used but the better it is, the better the strategy will work, and the lower the drawdown.
In the examples here I’m using a simple moving average. When the rate moves a certain distance above the moving average line, I place a sell order. When it moves below the moving average line, I place a buy order. This system is trading false break-outs, also known as “fading”.
In my system, I’m using the 15 point moving average (MA) as my entry signal. The length of moving average you choose will vary depending on your particular trading time frame and general market conditions.
This is a very simple, and easily implemented triggering system. There are more sophisticated methods you could try out. For example, divergences, using the Bollinger channel, other moving averages or any technical indicator.
Strong breakout moves can cause the system to reach the maximum loss level. So trading near to key support/resistance areas, in volatility squeezes, and before data releases should be minimized as far as possible.
For more details on trading setups and choosing markets see the Martingale eBook.
Set the Take Profit and Stop Loss
The next two points to think about are
- When to double-down – this is your virtual stop loss
- When to close – your “take profit level”
When to double-down – this is a key parameter in the system. The “virtual” stop loss means you assume at that point the trade has gone against you. It’s a loser. So you double your lots.
Choose too small a value and you’ll be opening too many trades. Too big a value and it impedes the whole strategy.
The value you choose for your stops and take profits should ultimately depend on the time-frame you’re trading and the volatility. Lower volatility generally means you can use a smaller stop loss. I find a value of between 20 and 70 pips is good for most situations.
When to close Trades in Martingale should only be closed when the “entire system” is in profit. That is, when the net profit on the open trades is at least positive. As with grid trading, with Martingale you need to be consistent and treat the set of trades as a group, not independently.
A smaller take profit value, usually around 10-50 pips, often works best in this setup.
There are a couple of reasons for this.
- A smaller take profit level has a higher probability of being reached sooner so you can close while the system is profitable.
- The profit gets compounded because the lots traded increase exponentially. So a smaller value can still be effective.
Using a smaller take profit doesn’t alter your risk reward. Although the gains are lower, the nearer win-threshold improves your overall trade win-ratio.
The table below shows my results from 10 runs of the trading system. Each run can execute up to 200 simulated trades. I started with a balance of $1,000 and drawdown limit 100% of that amount. The drawdown limit is automatically ratcheted up or down each time the realized P&L changes.
|Run #||Profit||Run. Balance||Drawdown limit||Worst drawdown||Return|
Table 6: Simulation results from the spreadsheet.
My final balance was $1,796 which gives an overall return of 79.6% on the initial starting amount.
The chart below shows a typical pattern of incremental profits. The orange line shows the relatively steep drawdown phases.
The spreadsheet is available for you to try this out for yourself. It is provided for your reference only. Please be aware that use of the strategy on a live account is at your own risk.
Pros and Cons of Martingale
Why Use It:
- It has a well defined set of trading rules that can be easily followed or programmed as an Expert Advisor.
- It has a statistically computable outcome with respect to profits and drawdowns.
- When applied correctly it can achieve an incremental profit stream.
- You don’t need to be able to predict the market direction.
Why Avoid It:
- Averaging down is a strategy of avoiding losses rather than seeking profits.
- Martingale doesn’t increase your odds of winning. It just delays losses – for a long time if you’re lucky.
- It relies on assumptions about random market behavior which are not always valid. Markets do behave irrationally.
- The risk exposure increases exponentially, while the profits increase linearly.
- It can potentially run up catastrophic losses in practice because nobody has an unlimited amount of money.
- The risk v.s reward is balanced, but because the loss comes in one big hit it can be unacceptable.
For more information on Martingale see our eBook.