The concept of "arbitration" has long and firmly entered our lives. We hear about fair decisions of the referee during sports broadcasts. The Arbitration Court resolves commercial disputes between enterprises. And in the financial markets, guided by arbitrage trading strategies, arbitrageurs operate. In this article we will introduce arbitration in general and consider in detail the types of arbitrage strategies on the stock market.
Stock Market Arbitrage
In a general sense, "arbitration" comes from the French arbitrage, which means "arbitration court" or "fair decision by mediation". In the economic sense, there are two main meanings of this word:
- buying a product in one market at a lower price and selling it in another market at a higher price.
- purchase and sale of goods with different delivery dates or related goods on the same market in order to make money on the price difference.
Interconnected means goods whose prices are subject to general patterns. In relation to assets in financial markets, this may occur for the following reasons:
- due to belonging to the same industry (shares of oil companies, a pair of gold-silver, etc.).
- due to the fact that one asset is based on another (stocks and futures on them).
- both assets are linked to a common base (fixed-term contracts for the same underlying asset with different execution dates).
Why do we need arbitration at all? Because of its essence - the simultaneous opening of two multidirectional trades (one for sale, the other for purchase) - it is considered a low-risk trading strategy. There is a high probability of getting a final profit even in case of a loss on one of the trades – it will be covered by the profit on the trade of the other.
But the same circumstance makes arbitration a relatively low-yield event: its profitability is often less than the profitability of a single trade, if it turned out to be profitable. The basic rule – the less risk, the less profit - is fully applicable here.
Arbitration in financial markets is a very broad, multifaceted concept. There are many arbitrage strategies whose classification is informal and confusing. Not all strategies are suitable for an ordinary private investor. Therefore, in this article we will focus on a narrower concept: consider arbitrage on the stock market, that is, the securities market.
Its example is classic arbitrage, when they buy shares on one exchange, for example, New York Stock Exchange and sell them on another exchange, for example, in London on the London Stock Exchange, where their price is currently higher. Another type is intra-industry arbitration, based on the purchase and sale of shares of companies from the same industry, or ordinary and preferred shares of the same company.
In addition to these strategies, which are the main ones for the stock market, the article discusses spot futures (stock futures) and calendar arbitrage, using the example of two futures with different execution dates. Formally speaking, they do not relate to arbitrage on the stock market in its pure form, since futures are derivatives, not securities, and are traded on a separate, futures market. But these arbitrage strategies are popular, so we will not ignore them.
Read more: The world's leading Stock Exchanges and features of their functioning
Symbols for conducting Arbitration
The general properties of the symbols used for arbitration are as follows. Firstly, they must be liquid, since speed is important in arbitrage trading until the market eliminates local inefficiency.
In the stock market, it is also important to be able to short company shares, because not all stocks are allowed to short.
Secondly, the volatility of symbols is important. It provides the very difference in prices that determines the profit of arbitrageurs.
Thirdly, if we are talking about classical arbitration, we need the availability of symbols on different exchanges. It is important not only the fact of availability, but also the ability to buy an asset on one exchange and sell it on another quickly and with a small commission.
Fourth, the availability of futures and options on assets is favorable for arbitrageurs, as it increases the number of possible strategies.
Thus, the main symbols used for arbitrage on the stock market are liquid stocks, as well as futures and options on them. And in a broad sense, both currency pairs and precious metals with commodity market symbols are suitable for arbitration.
Classic arbitrage between Exchanges
Let's start our acquaintance with arbitrage strategies on the stock market with classical or, in other words, inter-exchange arbitrage. The meaning is described above: we buy an asset on one exchange, sell it on another at a higher price.
Why is such arbitration even possible? The exchange itself does not set prices. It is only a meeting place for the seller and the buyer. In modern conditions, this meeting place is very high-tech, but the price of an asset on the stock exchange, as many years ago, is determined by supply and demand. A trade is made when the price offered by the buyer coincides with the price that suits the seller. And sellers and buyers on different exchanges, in theory, are different. Accordingly, prices may vary. But not for long.
Read more: How the Stock Exchange operates and the trading process is organized
In modern conditions of active information exchange, the price difference quickly becomes known. After that, the demand for the asset on the first exchange, where it is cheaper, increases, and the supply of this asset on the second exchange, where it is more expensive, increases. Due to the growth of demand, the price of an asset on the first exchange is growing, and due to the growth of supply, its price on the second exchange is falling. And now, as if nothing had happened, the market has leveled it.
There are arbitrageurs who earn even on very fast and insignificant price fluctuations. This requires infrastructure: reliable high-speed communication channels, servers located as close as possible to the exchange, special software.
For a simple private investor, classical arbitrage can benefit in cases where price fluctuations on different exchanges are much more pronounced, which happens less often than we would like.
Intra-industry arbitration on ordinary and preferred shares of the same company
Intra-industry arbitration can be carried out on shares of different companies operating in the same industry, or on ordinary and preferred shares of the same company. Let's start with it.
To implement arbitrage, we are interested in fluctuations in the spread - the difference in the prices of such shares.
Fluctuations in the spread and allow for arbitrage trades. If the spread has increased, you can start arbitrage: short more expensive stocks (in this case, ordinary) and buy cheaper (in this case, preferred). After waiting for the spread to narrow, make reverse trades.
If the spread has narrowed, you can also start arbitrage: sell cheaper stocks (preferred) to short and buy more expensive (regular) ones. And when the spread widens, do the opposite.
During arbitration, you can "trade the difference". If the spread is considered as a price difference, you will need to use the same number of lots of shares. If the spread is considered as a ratio, you need to use a different number of lots so that the value of the securities sold is approximately equal to the value of the purchased ones. Such alignment eliminates the impact of general market risks, leaving only the risk of narrowing - widening the spread, but requires more complex calculations and more capital to enter into trades, which is not always suitable for a simple private investor.
Arbitrage trades can be performed both on narrowing the spread and on its expansion.
Read more: What is a spread and its types
Intra-industry arbitrage on shares of different companies
Stock quotes are influenced by several groups of factors. These include macroeconomic events in the market, the situation in the industry, as well as the "quality" of the company itself – what results it already has, and what prospects it expects based on these results. In general, it is considered that the "quality" of a company determines quotes by 40%, the rest, by 30%, falls on macroeconomics and the situation in the industry.
Due to the fact that intra-industry factors make a significant contribution to quotations, there is an opportunity for intra-industry arbitrage: stock prices of different companies from the same industry correlate to a certain extent. For example, the demand for oil on the world market affects the revenue of companies in the oil and gas sector, as a result, their stock prices.
If you display the stock prices of companies from the same sector on one chart, you can see the general trend of their change.
It turns out that if growth is visible on the quotation chart of one company, but it is not on the charts of other companies in the same industry, it means that there are some factors, in addition to intra-industry ones, affecting this particular company now, but not the rest. If the effect of these factors is short-term, it means that such growth will stop soon, and the quotes will return to the "expected" values.
In this case, you can implement arbitration: sell shares that have risen in price "abnormally" and buy those whose price does not deviate from the norm. When the more expensive shares become cheaper, make reverse trades.
But here's the question: and how to determine whether, at the moment, the effect of these unidentified factors on a particular company is short-lived, and the price of its shares will fall (or grow if there is not growth, but drawdown)? Suddenly, stocks will continue to rise (fall) for months or even years? And short - the pleasure is not free…
Intra-industry arbitrage based on fundamental analysis
If we compare the stock prices of companies from one industry and see that one of them has started to grow, while the others have not, then two mutually exclusive explanations are possible.The first is that this growth is fairly determined by the foundation of the company, the growth drivers embedded in it. In other words, the company is "high-quality", and the shares are likely to grow for a long time. This is good when forming a portfolio for long-term investment, to which such a company should be added. But the arbitration turns out to be questionable.
The second explanation is that the growth is short-term, determined by some subjective factors, for example, rumors about events related to the company. These factors affect the mood of investors at the moment, which is why the quotes are growing, because the demand for stocks is growing. But they do not have an impact on the company itself, which, in fact, does not have a "foundation" for a fair price increase. It is hardly worth adding shares of such a company to the portfolio. But you can try arbitration.
Another situation is also possible: the company is of high quality, but it has encountered short-term difficulties. Because of this, now its shares are falling in price, because investors are panicking and selling them, but when the difficulties are over, the drop in quotations will stop. This situation can also be used for arbitration.
The year 2021 has presented us with some striking examples illustrating the second explanation. In the USA, there was an unexpected growth in GameStop shares due to private investors inspired by the social network Reddit and the lack of commissions from the online broker Robinhood.
Read more: How to invest in stocks and what you need to know
The question arises: how to distinguish the first explanation from the second? How to determine that at the moment the quotes are growing due to the influence of subjective factors, which is likely to be short-term, and not because of objective factors that determine the real quality of the company?
Fundamental analysis comes to the rescue here. After analyzing the company's financial statements and calculating multipliers, first of all, the P/E ratio, it is possible to determine whether the company has potential for growth, as well as whether it is overestimated by other investors or undervalued.
Search for ideas for arbitrage based on fundamental analysis
Let's show by examples how you can find ideas for arbitrage based on fundamental analysis.
The idea is as follows: if the shares of one company in the industry are now overvalued, and the other is undervalued, then over time the overvalued company will fall in price, and the undervalued one will rise in price, which will narrow the price spread between them. This means that by selling the shares of an overvalued company short and buying shares of an undervalued company, you can start arbitration, and after reducing the price difference, complete it with reverse trades.
It remains to find such a couple of companies. Consider two.
Example 1. Search for shares for arbitration by P/E
One approach is to find a suitable pair of companies by their P/E. Let's demonstrate it on the example of the oil and gas sector. In the filters of the Fin-plan Radar service, we will set the maximum P/E and the minimum estimated potential (from 10%) in order to get the widest possible sample of companies.
The PEG indicator is equal to the ratio of P/E to the company's profit growth rate. That is, it shows how much the growth in the value of the company's shares can really be provided by its potential. The lower the PEG, the better – this means that there is potential, even at high P/E. When PEG approaches 1, there is cause for concern – the rate of profit growth is about to stop justifying this revaluation. When the PEG is greater than 1, it means that investors' expectations are no longer supported by the real capabilities of the company.
Read more: P/E Ratio: what it is needed for and how it is calculated
Example 2. Search for stocks for arbitrage using Stock Rating
We are implementing a different approach to finding suitable stocks for arbitration. The idea is as follows. If the company's shares have grown significantly in a short period of time, it means that there is a possibility that this growth is speculative, not supported by fundamental indicators, and therefore it may end soon. We sell such a stock short, buy a stock from the same industry, but without speculative growth, and after narrowing the spread, we close positions.
How does this approach differ from the previous one? Fundamentally, nothing: a speculatively grown stock will also have a high P/E. But in the previous example, we started from a specific industry in which we selected stocks with different P/E. And now we will look for a stock with abnormal growth without reference to the sector. And when we find it, then we will compare it with our colleagues in the market.
Equivalent arbitrage (stock – futures)
Equivalent arbitrage (aka "spot futures" or "stock futures") involves interrelated trades with underlying assets and derivative financial instruments on them. An example is the purchase of shares of a company with the simultaneous sale of futures on them.
Another name for the equivalent is "stock futures" or "spot futures" arbitrage. The stock market, along with the currency market, is a kind of spot market, where trades are settled immediately or in a very short time, up to two days. Having bought a share today, the buyer becomes its owner no later than two days later ("Trading mode T+2"). When talking about arbitration, the stock market is often called spot or spot, hence the "spot futures" arbitration.
Why is such arbitration possible in principle? Due to the peculiarities of futures pricing: its price includes a risk-free annual interest rate. The fewer days until the end of the contract (expiration), the lower the price of the futures. On the expiration day, the prices of the underlying asset and the futures should coincide or significantly converge. Therefore, in an ideal world, there is always a so-called contango situation on the market, when the futures price is higher than the price of the underlying asset.
But in the real world, the actual value of futures is determined by the ratio of supply and demand, and they are determined by the expectations of market participants. The price of the futures will now include not the current price of the underlying asset, but its expected price at the time of delivery. Therefore, backwardation often occurs in the market – when futures fall in price below the underlying asset.
To arbitrage, you need to take into account the type of futures (delivery or settlement), the market situation (contango or backwardation), and also remember that in order to open a futures trade, you need to have a guarantee on your account (usually 2-10% of its price) plus a sufficient reserve of funds for a variation margin so that the exchange does not forcibly close the trade.
Read more: Basic knowledge of fundamental analysis
The delivery futures involves the delivery of the underlying asset on the day of completion of the contract. Settlement futures of delivery does not involve, there is only a monetary settlement between the parties. Stock futures are deliverable. This means that on the day of its expiration, the party that sold such a futures is obliged to deliver shares to the party that bought it.
To summarize. For stock - futures arbitration, you need:
- on the one hand, to sell stock futures, and at a price higher than the price of the shares themselves at that time (that is, there should be a contango);
- on the other hand, buy the same shares in order to fulfill the obligations on the futures on the day of its expiration;
- have a reserve of funds on the term account for the guarantee and variation margin, which are regularly recalculated by the exchange during clearing.
Considering such an arbitrage construction, it is necessary to compare the possible profit with the deposit rate. Is it suddenly more profitable to just put money into a bank account rather than implement equivalent arbitration?
Calendar arbitration
The basis of calendar arbitrage is the calendar spread, that is, the difference in the price of futures for one underlying asset with different delivery dates. At the maximum price divergence, a more expensive futures with one delivery date is sold and at the same time a cheaper futures with another delivery date is bought. After the spread decreases, when the price curves converge, both positions are closed. Often (but not always!) the convergence of prices occurs before the expiration of the near futures.
Within the framework of this article, it would be necessary to consider calendar arbitration on the example of stock futures. But it is often sold through Brent oil futures, since their expiration occurs every month (for stock futures - once every 3 months), they are liquid, and the price behavior is relatively predictable (with a calm mood in the market, in non-crisis periods).
For example, BRH1 and BRJ1 are Brent crude futures with expiration on March 1, 2021 (near) and April 1, 2021 (far), respectively. If the near contract is traded more expensive than the far one (backwardation), it is sold, and the far one is bought, hoping for a narrowing of the spread.
On January 8, 2021, after selling the more expensive short–range futures BRH1 and buying the long-range BRJ1, a profit of 55.25 - 54.98 = 0.27 points would have been obtained. After narrowing the spread on January 14, it is necessary to close positions: buy off the near futures and sell the far, in this case, with a negative profit of -55.44 + 55.43 = -0.01 points.
The final profit of the arbitration is 0.27 - 0.01 = 0.26 points with a yield of approximately 28% per annum.
After January 15, the spread began to increase. During this period, it would be possible to trade for an expansion of the spread: sell a cheaper long-range futures, buy a more expensive short-range, then, when the spread has expanded sufficiently, carry out reverse trades without waiting for expiration, because there is a risk that by this time the spread will narrow.
But if you count on the narrowing of the spread in expiration, you can wait for a bigger difference, sell expensive near futures, buy cheap far. What would this lead to in this particular case?
The maximum spread before expiration was observed on February 24: 0.91 points. On March 1, 2021, on the expiration day, the spread not only did not narrow, it expanded to 1.26 points, which, when calculated during clearing, would lead to a loss on the account of 0.35 points. However, by March 5, 2021, the price of the long-range BRJ2021 futures increased by 2.91 compared to the price of the short-range BRH2021 on the day of its expiration, since the price of oil on the world market continued to rise. If you sell BRJ2021 at this price now, the profit will be 1.65 points. However, from March 2 to March 5, the trade is no longer arbitration, because BRH2021 is expired, and the risks of BRJ2021 are not compensated.
Backwardation of oil futures, as a rule, takes place in a calm, optimistic market. During the crisis, contango is more often observed, when long-range futures are more expensive. In this case, they do the opposite: they sell the far one, buy the near one. This situation was observed during the spring crisis of 2020. An example of contango is in the screenshot: a long-range BRK0 futures with expiration in May 2020 is more expensive than a short-range BRJ0 with expiration in April 2020.
For example, BR-3.21-4.21 – the calendar spread of the two futures described above, the price of which is the difference between the far BRJ1 (BR-4.21) and the near BRH1 (BR-3.21). Buying such an instrument means selling (short position) at BR-3.21 and buying (long position) at BR-4.21. Selling the instrument is the opposite.
Read more: Investment portfolio
Interest rate arbitrage
In conclusion, we will very briefly describe another type of arbitration – percentage. It is based on the difference in interest rates in different countries, can be carried out on the currency and stock markets.
Interest rate arbitrage on the stock market is based on the following. In a bank of a country with a low interest rate, funds are taken on credit. On the stock market of another country, where a higher interest rate is set, federal loan bonds (or other reliable assets) are bought with these funds. Since the yield of bonds is higher the higher the rate, the difference between the yield on bonds and the loan rate, minus commissions, is the profit of the arbitrageur.
Conclusions
So, it is quite realistic to find opportunities for arbitrage trades on the stock market. However, it should be understood that more often such strategies are beneficial to large players, for example, hedge funds, which, due to the large amounts of funds involved, have the opportunity to make significant profits even from trades with very low returns. A private investor needs to carefully calculate whether it is worth implementing arbitration in a particular case, because after deducting all commissions, the yield may be less than the deposit rate. And the calculations of the moments of entry into and exit from arbitration are based on constant monitoring of the market situation, which takes a lot of time and effort.
From our point of view, it is more profitable (and calmer) for a private investor to focus not on trading, even arbitrage, but on portfolio investment.
At the same time, on a time horizon of several years, its profitability can overtake the cumulative result from a variety of arbitrage trade, which, even being low-risk, can generate near-zero profit.