Table of Contents Heading

- Why Stocks Selection Is Difficult
- 1 What Is Pairs Trading?
- What Is Quantitative Trading?
- Video: How The Crypto Market Is Still Evolving
- Simplifying Statistical Arbitrage Strategies
- Concepts Used By Statistical Arbitrage Strategies
- Practical Example Of Statistical Arbitrage Strategy
- Come Together: Statistical Arbitrage

statistical arbitrage faces different regulatory situations in different countries or markets. In many countries where the trading security or derivatives are not fully developed, investors find it infeasible or unprofitable to implement statistical arbitrage in local markets. Over a finite period of time, a low probability market movement may impose heavy short-term losses. If such short-term losses are greater than the investor’s funding to meet interim margin calls, its positions may need to be liquidated at a loss even when its strategy’s modeled forecasts ultimately turn out to be correct. The 1998 default of Long-Term Capital Management was a widely publicized example of a fund that failed due to its inability to post collateral to cover adverse market fluctuations. Remember, most stock market crashes arise from issues with liquidity and leverage—the very arena in which statistical arbitrageurs operate. Stat arb algorithms have also been blamed in part for the “flash crashes” that the market has started to experience over the past decade.

As a baseline approach, the high dimensional relation between the four stocks is represented by their pairwise Spearman’s . The use of ranked returns data allows us to capture trade futures non-linearities in the data to a certain degree. Firstly, all measures of association are calculated using the ranks of the daily discrete returns of our samples.

## Why Stocks Selection Is Difficult

Swap spread arbitrage hedges against changes in treasury and swap rates but not against credit risk. Mortgage arbitrage hedges against movements in treasury rates but not mortgage spreads. Mortgage arbitrage consists of buying mortgage-backed securities while hedging their interest rate exposure primarily through derivatives . The strategy provides a positive carry as the yield on MBSs is typically higher than that of comparable treasury bonds. As the spread earned is generally small, arbitrageurs use leverage to enhance returns. Mortgage arbitrage strategies can be classified based on the different types of MBS used.

- Statistical arbitrage, or “stat arb” originated in the 1980s out of the hedging demands created by Morgan Stanley’s equity block trading desk operations.
- Do, Faff and Hamza claim that SA is an equity trading strategy that employs time series methods to identify relative mispricings between stocks.
- “But what really separates the good from the mediocre players in this arena is the quality of execution. We are high-frequency traders, so any slippage or implementation cost is magnified.”
- Investors can enter a trade when the two stocks get substantially out of sync with each other, such as in mid-February and in early May.
- if one of them blows up and liquidate, the other hedge funds that own these stocks are screwed too.
- This differs from the definition of arbitrage where the strategy has no admissible possible negative outcomes.

That basic assumption defines the portfolio strategies of most statistical arbitrage traders. They usually do well when markets make small moves of relatively short duration, and they get into trouble when markets lurch unexpectedly – and keep at it for a long time. For that reason, even before September 11, many statistical arbitrage hedge funds were struggling last year. With pairs trading strategies, a company could go bankrupt or shift its product mix, breaking a pair – I don’t advise pair trading individual stocks but more on that later. Cross market arbitrage, especially with Bitcoin, carries a significant exchange default “hack” risk.

## 1 What Is Pairs Trading?

For starters, correlation refers to the mathematical study of relationships between assets. In the financial market, you can do this by downloading data of two assets and running a correlation study in Microsoft excel. For starters, an ETF is a financial asset that tracks a basket of financial assets like stocks and bonds. StatArb considers not pairs of stocks but a portfolio of a hundred or more stocks—some long, some short—that are carefully matched by sector and region to eliminate exposure to beta and other risk factors. In the second or “risk reduction” phase, the stocks are combined into a portfolio in carefully matched proportions so as to eliminate, or at least greatly reduce, market and factor risk. This phase often uses commercially available risk models like MSCI/Barra, APT, Northfield, Risk Infotech, and Axioma to constrain or eliminate various risk factors. As a trading strategy, statistical arbitrage is a heavily quantitative and computational approach to securities trading.

The results from the Extremal approach are quite varied in comparison to the other three approaches, which is expected. This copula-based approach primarily focuses on joint extreme events. Also, it is relatively heavy computationally compared to the other three, but still better than most simulation-based methods due to having a closed-form solution. returns the name and sector data of stocks in the quadruple given as input.

## What Is Quantitative Trading?

The enhanced strategy generated the daily Sharpe ratio of 6.07% in the out-of-sample period from January 2013 through October 2016 with the correlation of -.03 versus S&P 500. This thesis is differentiated from the previous relevant studies in the following three ways. First, the factor selection process in previous https://en.wikipedia.org/wiki/Fiat_money studies has been often unclear or rather subjective.

Statistical arbitrage, also referred to as stat arb, is a computationally intensive approach to algorithmically trading financial market assets such as equities and commodities. It involves the simultaneous buying and selling of security portfolios according to predefined or adaptive statistical models. Backtesting allows us to gauge how well our pairs trading using cointegration approach is doing. One of the best ways to help structure a good trading strategy is to analyze the P/L from the backtests. Characterizing time series allows us the liberty of creating or using models that could lead to us realizing important information.

## Video: How The Crypto Market Is Still Evolving

While trading two stocks is the most conceptually simple statistical arbitrage strategy, we’re not limited to only two stocks. Investors can use any number of financial instruments cointegrating; however, there’s only one other with a unique name – We’re trading “triplets” when we arbitrage three assets together. Statistical Arbitrage strategies can be applied to different financial instruments and markets. The Executive Programme in Algorithmic Trading includes a session on “Statistical Arbitrage and Pairs Trading” as part of the “Strategies” module. Many of our EPAT participants have successfully built pairs trading strategies during their course work. Securities such as stocks tend to trade in upward and downward cycles and a quantitative method seeks to capitalize on those trends.

This is expected as both methods rely on a variation of Spearman’ s . The results from the Geometric approach show deviation from the Spearman’s approaches. Although this approach looks at the linear deviation in ranks like the previous two approaches, it does so using a distinctive technique that makes use of the relative distance of quadruples from the hyper-diagonal. [Mangold ] Introduced a multivariate linear rank test of independence based on the Nelsen copula, and was used in [Stübinger et al ] as a method to select tradable stocks. It registers extremal co-moves at the tail of distributions well because of the involvement of copula, therefore is a great candidate for copula-based trading methods with mean-reversion bets. In contrast to the strictly bi-variate case, this extended approach – and the two following approaches – directly reflect multivariate dependence instead of measuring it by pairwise measures only. This approach provides a more precise modeling of high dimensional association and thus we expect a better performance in trading strategies compared to the baseline traditional approach.

## Simplifying Statistical Arbitrage Strategies

Therefore, it is necessary to deal with the stability of the time series data. The Ornstein Uhlenbeck process is a stationary Gauss Markov process, and is homogeneous in time. The process can be viewed a modification of random best time to trade forex walk in continuous time or Wiener process. The Ornstein Uhlenbeck process can be considered as the continuous-time analog of the AR process. Because the Ornstein Uhlenbeck process is static, the return is deterministic.

Table 1 shows the expected returns of using the optimal define volatility strategies for different transaction costs and “a.” The optimal solution for “a” is from Eq . In the Table, “c” represents the transaction cost, and “a” represents the entry-level. Table 1 shows that “a” and expected return will become smaller as the transaction costs increase, regardless of whether the replicating asset is constructed using the Buffett- or five-factor model. The success of statistical arbitrage depends on finding two suitable securities, then modeling and forecasting of spread time series.

## Concepts Used By Statistical Arbitrage Strategies

Do and Faff examine the impact of trading costs on pairs trading profitability. For statistical arbitrage, issues such as when, how, and the impact of transaction costs are important. Fig 3A shows the price behavior of the replicating asset constructed using the Buffet-factor model.

Thomaidis and Kondakis define SA as an attempt to profit from pricing discrepancies that appear in a group of assets. Do, Faff and Hamza claim that SA is an equity trading strategy that employs time series methods to identify relative mispricings between stocks. Burgess also describes statistical arbitrage as a generalization of a traditional arbitrage where mispricing is statistically determined through replicating strategies. In using derivatives, Zapart describes statistical arbitrage as an investment opportunity when perfect hedging is not possible. We show that the synthetic asset formed from the replicating asset and the original Berkshire A stock can give profitable entry and exit points for statistical arbitrage trading at different transaction costs. Jegadeesh and Titman find the strategies that purchase stocks that have outperformed in the past, and short stocks that have underperformed in the past produce significantly positive returns. They argue that the profitability of these strategies is not due to their systematic risk or delayed stock price reactions to common factors.