The Secret to Finding Profit in Pairs Trading (2024)

"Quants" is Wall Street's name for market researchers who use quantitative analysis to develop profitable trading strategies. In short, a quant combs through price ratios and mathematical relationships between companies or trading vehicles in order to divine profitable trading opportunities. During the 1980s, a group of quants working for Morgan Stanley struck gold with a strategy called the pairs trade. Institutional investors and proprietary trading desks at major investment banks have been using the technique ever since, and many have made a tidy profit with the strategy.

It is rarely in the best interest of investment bankers and mutual fund managers to share profitable trading strategies with the public, so the pairs trade remained a secret of the pros (and a few deft individuals) until the advent of the internet. Online trading opened the lid on real-time financial information and gave the novice access to all types of investment strategies. It didn't take long for the pairs trade to attract individual investors and small-time traders looking to hedge their risk exposure to the movements of the broader market.

Key Takeaways

  • Pairs trading involves betting on the price spread between two similar securities.
  • Pairs trades can be based on fundamental or technical factors, and these trades generally are held for shorter time horizons.
  • If the trader thinks the prices should converge, they will buy the relatively underpriced security and simultaneously sell the overpriced one.

What Is Pairs Trading?

Pairs trading has the potential to achieve profits through simple and relatively low-risk positions. The pairs trade is market-neutral, meaning the direction of the overall market does not affect its win or loss.

The goal is to match two trading vehicles that are highly correlated, trading one long and the other short when the pair's price ratio diverges "x" number of standard deviations—x" is optimized using historical data. If the pair reverts to its mean trend, a profit is made on one or both of the positions.

Example of a Pairs Trade with Stocks

Traders can use either fundamental or technical data to construct a pairs-trading style. Our example here is technical in nature, but some traders use a P/E ratio or other fundamental factors to measure correlation and divergence.

The first step in designing a pairs trade is finding two stocks that are highly correlated. Usually, that means that the businesses are in the same industry or sub-sector, but not always. For instance, index-tracking stocks like the QQQQ (Nasdaq 100) or the SPY () can offer excellent pairs trading opportunities. Two indices that generally trade together are the S&P 500 and the Dow Jones Utilities Average. This simple price plot of the two indices demonstrates their correlation:

The Secret to Finding Profit in Pairs Trading (1)

For our example, we will look at two businesses that are highly correlated: GM and Ford. Since both are American auto manufacturers, their stocks tend to move together.

Below is a weekly chart of the price ratio between Ford and GM (calculated by dividing Ford's stock price by GM's stock price). This price ratio is sometimes called "relative performance" (not to be confused with the relative strength index, something completely different). The center white line represents the mean price ratio over the past two years. The yellow and red lines represent one and two standard deviations from the mean ratio, respectively.

In the chart below, the potential for profit can be identified when the price ratio hits its first or second deviation. When these profitable divergences occur it is time to take a long position in the underperformer and a short position in the overachiever. The revenue from the short sale can help cover the cost of the long position, making the pairs trade inexpensive to put on. Position size of the pair should be matched by dollar value rather than by the number of shares; this way a 5% move in one equals a 5% move in the other. As with all investments, there is a risk that the trades could move into the red, so it is important to determine optimized stop-loss points before implementing the pairs trade.

The Secret to Finding Profit in Pairs Trading (2)

An Example Using Futures Contracts

The pairs trading strategy works not only with stocks but also with currencies, commodities, and options. In the futures market, "mini" contracts—smaller-sized contracts that represent a fraction of the value of the full-size position—enable smaller investors to trade in futures.

A pairs trade in the futures market might involve an arbitrage between the futures contract and the cash position of a given index. When the futures contract gets ahead of the cash position, a trader might try to profit by shorting the future and going long in the index tracking stock, expecting them to come together at some point. Often the moves between an index or commodity and its futures contract are so tight that profits are left only for the fastest of traders—often using computers to automatically execute enormous positions IN the blink of an eye.

An Example Using Options

Option traders use calls and puts to hedge risks and exploit volatility (or the lack thereof). A call is a commitment by the writer to sell shares of a stock at a given price sometime in the future. A put is a commitment by the writer to buy shares at a given price sometime in the future. A pairs trade in the options market might involve writing a call for a security that is outperforming its pair (another highly correlated security) and matching the position by writing a put for the pair (the underperforming security). As the two underlying positions revert to their mean again, the options become worthless allowing the trader to pocket the proceeds from one or both of the positions.

Evidence of Profitability

In an important research paper written by Yale Business School economists Even G. Gatev, William Goetzmann, and K. Geert Rouwenhorst, the authors attempted to prove that pairs trading is profitable. Using a large set of data from 1967 to 1997, the trio found that over any six-month trading period, the pairs trade averaged a +12% return. To distinguish profitable results from plain luck, their test included conservative estimates of transaction costs and randomly selected pairs.

More recent research has also shown that pairs trading can still be a profitable venture, although the advent of algorithmic and high-frequency trading (HFT) has left this business largely to the professionals these days.

The Bottom Line

The broad market is full of ups and downs that force out weak players and confound even the smartest prognosticators. Fortunately, using market-neutral strategies like the pairs trade, investors and traders can find profits in all market conditions. The beauty of the pairs trade is its simplicity. The long/short relationship of two correlated securities acts as a ballast for a portfolio caught in the choppy waters of the overall market. Good luck with your hunt for profit in pairs trading, and here's to your success in the markets.

The Secret to Finding Profit in Pairs Trading (2024)

FAQs

The Secret to Finding Profit in Pairs Trading? ›

The goal is to match two trading vehicles that are highly correlated, trading one long and the other short when the pair's price ratio diverges "x" number of standard deviations—x" is optimized using historical data. If the pair reverts to its mean trend, a profit is made on one or both of the positions.

What is the secret of pair trading? ›

Pair trading is a trading strategy that involves matching a long position with a short position in two stocks with high correlation. Strategy is based on the historical correlation of two stocks. The stocks in a pairs trade must have a high positive correlation, which is the driving force behind the strategy's profits.

Is pair trading still profitable? ›

The study by Jacobs & Weber conducted on 34 international markets has empirically proven that pairs trading is the most profitable in emerging markets, either due to the higher inefficiencies, or markets with a large number of pairs.

What is the formula for pair trading? ›

Spread = log(a) – nlog(b)

A stationary process has very valuable features which are required to model pairs trading strategies. For instance, in this case, if the equation above is stationary, that suggests that the mean and variance of this equation remain constant over time.

What is the algorithm for pairs trading? ›

According to The Definitive Guide to Pairs Trading [5], there are 3 main steps to building a pairs trading algorithm: pair selection, spread modeling, and trading rules development. Pair selection aims to find co-moving assets with similar returns and mean-reverting spread.

How to build a pair trading strategy? ›

In order to profit from a pairs trading correlation, the trader must identify when the assets are deviating in value, calculated as the 'standard deviation'. They can then choose to buy the long position that is undervalued and short-sell the overvalued position.

How many pairs should I trade at once? ›

If you are very active during the trading day going in and out multiple times, then sticking to 2-3 pairs can be a good idea. It really depends on your trading style I think. I monitor around 10 pairs on the slower charts such as daily and weekly and I follow USD/CHF, USD/CAD and EUR/JPY closely during the day.

Which pair is most profitable? ›

While EUR/USD leads the way in terms of daily traded volume in forex pairs, there are a number of other viable currency pairs with high liquidity that traders can choose from in an attempt to realise a profit.

How to find pairs for pairs trading? ›

The first step in designing a pairs trade is finding two stocks that are highly correlated. Usually, that means that the businesses are in the same industry or sub-sector, but not always. For instance, index-tracking stocks like the QQQQ (Nasdaq 100) or the SPY (S&P 500) can offer excellent pairs trading opportunities.

What are the disadvantages of pairs trading? ›

These risks include:
  • Correlation breakdown: If the correlation between the two stocks in the pair breaks down, the strategy may not work as expected.
  • Market-wide events: Systemic market events, such as financial crises or sudden market volatility, can impact both legs of the pair trade.

What is the Z score for pair trading? ›

The z-score is simply (spread)/(standard deviation of spread) and spread is calculated based on the stock pair's price history. The basic method to calculate the spread is using a log of prices of stocks A and B. Spread = log(a) - nlog(b), where 'a' and 'b' are prices of stocks A and B respectively.

What is the theory of pairs trading? ›

A pairs trade strategy is based on the historical correlation of two securities. The securities in a pairs trade must have a high positive correlation, which is the primary driver behind the strategy's profits. A pairs trade strategy is best deployed when a trader identifies a correlation discrepancy.

How to pitch a pair trade? ›

The basic principles of pairs trading are:
  1. Find two instruments whose prices are highly correlated.
  2. Wait for the price relationship between the two to diverge from historic norms.
  3. Sell the instrument that appears overvalued and buy the one that appears undervalued.

What is the most predictable trading pair? ›

The top five predictable currency pairs include AUD/USD, USD/JPY, USD/CAD, NZD/USD, and EUR/USD. Each of these pairs demonstrates reliable market behavior, providing traders with valuable opportunities.

What is the pairs trading strategy a recommendation system? ›

The Pairs Trading Strategy states that if two stocks exhibit co-movement over a considerable period of time, then this pattern can be exploited for profit.

What is the best algorithm for trading? ›

One of the most popular algorithms used in trading is the Moving Average Convergence Divergence (MACD) algorithm. MACD is a trend-following momentum indicator that helps traders identify potential buying and selling opportunities based on the relationship between two moving averages.

Is pair trading risky? ›

Conclusion. In this research, we find that pairs trading entails undesirable systematic risk under static parameterization.

What are the advantages of pair trading? ›

Advantages of pair trading

They include the following: It provides a market-neutral trading opportunity. It minimises your risk due to the opposing positions taken.

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