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martingale
mar·tin·gale
martingale
martingal
mar•tin•gale
Martingale
Noun  1.  martingale – a harness strap that connects the nose piece to the girth; prevents the horse from throwing back its head 
martingale
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Martingale System
What is the Martingale System
The Martingale system is a system of investing in which the dollar value of investments continually increases after losses, or the position size increases with a lowering portfolio size. The Martingale system was introduced by French mathematician Paul Pierre Levy in the 18th century.
BREAKING DOWN Martingale System
The Martingale system is a very risky method of investing. The main idea behind the Martingale system is that statistically, you cannot lose all the time, and therefore, you should increase the amount allocated in investments — even if they are declining in value — in anticipation of a future increase. The Martingale system is commonly compared to betting in a casino. When a gambler using this method loses, he or she doubles the bet. By repeatedly doubling the bet when he or she loses, the gambler, in theory, will eventually even out with a win. This assumes the gambler has an unlimited supply of money to bet with, or at least enough money to make it to the winning payoff.
Basic Example of the Martingale System
To understand the basics behind the strategy, let’s look at a basic example. Suppose you have a coin and engage in a betting game of either heads or tails with a starting wager of $1. There is an equal probability that the coin will land on heads or tails, and each flip is independent (the prior flip does not impact the outcome of the next flip). As long as you stick with the same call of either heads or tails, you would eventually, given an infinite amount of money, see the coin land on heads (or tails), if that’s your call, and thus recoup all of your losses, plus $1. The strategy is based on the premise that only one trade is needed to turn your fortunes around.

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Forex Trading the Martingale Way
Would you be interested in a trading strategy that is virtually 100% profitable? Amazingly, such a strategy exists and dates all the way back to the 18th century. The Martingale strategy is based on probability theory, and if your pockets are deep enough, it has a near100% success rate.
The Martingale strategy was most commonly practiced in the gambling halls of Las Vegas casinos. It is the main reason why casinos now have betting minimums and maximums, and why the roulette wheel has two green markers (0 and 00) in addition to the odd or even bets. The problem with this strategy is that to achieve 100% profitability, you need a significant money supply and in some cases, your pockets must be infinitely deep.
A martingale strategy relies on the theory of mean reversion, so without a large supply of money to bore positive results, you need to endure missed trades that can bankrupt an entire account. It’s also important to note that the amount risked on the trade is far greater than the potential gain. Despite these drawbacks, there are ways to improve the martingale strategy so you can improve your chances of succeeding at this very highrisk and difficult strategy.
What Is the Martingale Strategy?
Popularized in the 18th century, the martingale was introduced by the French mathematician Paul Pierre Levy. The martingale was originally a type of betting style based on the premise of „doubling down.“ American mathematician named Joseph Leo Doob continued the work of Levy in working on the martingale strategy, as he sought to disprove the possibility of a 100% profitable betting strategy.
The system’s mechanics involve an initial bet; however, each time the bet becomes a loser, the wager is doubled such that, given enough time, one winning trade will make up all of the previous losses. For instance, the 0 and 00 on the roulette wheel were introduced to break the martingale’s mechanics by giving the game more than two possible outcomes other than the odd versus even, or red versus black. This made the longrun profit expectancy of using the martingale in roulette negative, and thus destroyed any incentive for using the strategy.
To understand the basics behind the martingale strategy, let’s look at an example. Suppose we had a coin and engaged in a betting game of either heads or tails with a starting wager of $1. There is an equal probability that the coin will land on heads or tails, and each flip is independent, meaning that the previous flip does not impact the outcome of the next flip. As long as you stick with the same directional view each time, you would eventually, given an infinite amount of money, see the coin land on heads and regain all of your losses, plus $1. The strategy is based on the premise that only one trade is needed to turn your account around.
Examples of the Martingale Strategy in Action
Your Bet  Wager  Flip Results  Profit/Loss  Account Equity 
Heads  $ 1  Heads  $ 1  $11 
Heads  $ 1  Tails  $ (1)  $10 
Heads  $ 2  Tails  $ (2)  $8 
Heads  $ 4  Heads  $ 4  $12 
Assume that you have $10 to wager, starting with the first wager of $1. You bet on heads, the coin flips that way and you win $1, bringing your equity up to $11. Each time you are successful, you continue to bet the same $1 until you lose. The next flip is a loser, and you bring your account equity back to $10. On the next bet, you wager $2 hoping that if the coin lands on heads, you will recoup your previous losses and bring your net profit and loss to zero. Unfortunately, it lands on tails again and you lose another $2, bringing your total equity down to $8. So, according to martingale strategy, on the next bet, you wager double the prior amount to $4. Thankfully, you hit a winner and gain $4, bringing your total equity back up to $12. As you can see, all you needed was one winner to get back all of your previous losses.
However, let’s consider what happens when you hit a losing streak:
Your Bet  Wager  Flip Results  Profit/Loss  Account Equity 
Heads  $1  Tails  $ (1)  $9 
Heads  $2  Tails  $ (2)  $7 
Heads  $4  Tails  $ (4)  $3 
Heads  $3  Tails  $ (3)  ZERO 
Once again, you have $10 to wager, with a starting bet of $1. In this scenario, you immediately lose on the first bet and bring your balance down to $9. You double your bet on the next wager, lose again and end up with $7. On the third bet, your wager is up to $4 and your losing streak continues, bringing you down to $3. You do not have enough money to double down, and the best you can do is bet it all. If you lose, you are down to zero and even if you win, you are still far from your initial $10 starting capital.
Trading Application of Martingale Strategy
You may think that the long string of losses, such as in the above example, would represent unusually bad luck. But when you trade currencies, they tend to trend, and trends can last a very long time. The key with martingale, when applied to the trade, is that by „doubling down“ you essentially lower your average entry price. In the example below, at two lots, you need the EUR/USD to rally from 1.263 to 1.264 to break even. As the price moves lower and you add four lots, you only need it to rally to 1.2625 instead of 1.264 to break even. The more lots you add, the lower your average entry price. Even though you may lose 100 pips on the first lot of the EUR/USD if the price hits 1.255, you only need the currency pair to rally to 1.2569 to break even.
This is also a clear example of why significant amounts of capital are needed. If you only have $5,000 to trade, you would be bankrupt before you were even able to see the EUR/USD reach 1.255. The currency may eventually turn, but the downside to the martingale strategy is that you may not have enough money to keep you in the market long enough to see that end.
EUR/USD  Lots  Average or BreakEven Price  Accumulated Loss  BreakEven Move 
1.2650  1  1.265  $0  0 pips 
1.2630  2  1.264  $200  +10 pips 
1.2610  4  1.2625  $600  +15 pips 
1.2590  8  1.2605  $1,400  +17 pips 
1.2570  16  1.2588  $3,000  +18 pips 
1.2550  32  1.2569  $6,200  +19 pips 
Why Martingale Works Better with FX
One of the reasons the martingale strategy is so popular in the currency market is because, unlike stocks, currencies rarely drop to zero. Although companies easily can go bankrupt, countries cannot. There will be times when a currency is devalued, but even in cases of a sharp decline, the currency’s value never reaches zero. It’s not impossible that a currency could reach zero, but what it would take for this to happen would be a global economic nightmare.
The FX market also offers one unique advantage that makes it more attractive for traders who have the capital to follow the martingale strategy: the ability to earn interest allows traders to offset a portion of their losses with interest income. This means that an astute martingale trader may want to only trade the strategy on currency pairs in the direction of positive carry. In other words, they would buy a currency with a highinterest rate
The Bottom Line
A great deal of caution is needed for those who attempt to practice the martingale strategy, as attractive as it may sound to some traders. The main problem with this strategy is that seemingly surefire trades may blow up your account before you can turn a profit or even recoup your losses. In the end, traders must question whether they are willing to lose most of their account equity on a single trade. Given that they must do this to average much smaller profits, many feel that the martingale trading strategy offers more risk than reward.
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Definition of martingale
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First Known Use of martingale
1584, in the meaning defined at sense 1
History and Etymology for martingale
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Cite this Entry
“Martingale.” MerriamWebster.com Dictionary, MerriamWebster, https://www.merriamwebster.com/dictionary/martingale. Accessed 12 Apr. 2020.
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