# Tagged Questions

Pairs trading is a market-neutral trading strategy enabling traders to profit from virtually any market conditions: uptrend, downtrend, or sideways movement. This strategy is categorized as a statistical arbitrage and convergence trading strategy.

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Lets say I have two stocks x and y and their corresponding stock price p(x) and p(y). consider HR as hedge ratio. Then we can calculate the spread using this equation. $spread=p(x)-HR*p(y)$ from ...
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### What is the pseudo code for a pairs trading strategy?

I am trying to learn about pairs trading strategy. I know that we have to long and short cointegrated assests simultaneously. But I still have some confusion in how the strategy works. I wrote the ...
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### cointegration strategy

If it can be proved that two time series $$S_t^1=\alpha + \beta S_t^2 + \xi_t$$ representing stocks are correlated, with $\beta=-2$ and then are proved to be cointegrated, how a portfolio should be ...
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### How to trade the Ornstein-Uhlenbeck process?

My question comes from this paper, which is a short version of Avellaneda's paper The picture bellow provides a summary of the equations. Do I understand correctly that in order to trade OU process ...
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Trying to evaluate model for pairs trading. Consider classic formula: $\frac{dP}{P} = adt+b\frac{dQ}{Q}+dX$, where $P$ and $Q$ are stock prices, and $X$ is a mean reverting process (MRP) and $a$ is ...
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### Where can I get json currency data feeds every millisecond?

I have been looking for free or paid json data feeds on currencies for long. I have come across: currencylayer.com Oanda XE The problem is that I really need millisecond based updates. Can ...
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### Pairs Trading Signals and Positioning

I am currently working on a research project for a pairs trading strategy and would like to know the correct positions to take when a signal has been triggered. Say we are using this equation to ...
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### Calculating PnL from log prices

I'm backtesting a statistical arbitrage strategy. To calculate the PnL I simply use $Y(t)-Y(t+n)$ for the profit on the first leg and $\beta*X(t) - \beta*X(t+n)$ for the profit on the second leg, ...
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### how best to equalize individual pair risk in a portfolio of stock pairs?

I am building a portfolio of stock pairs in which each pair is individually hedged via beta/hedge ratio adjustment. I am looking for a method to ensure that I am taking the same risk in each pair that ...
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### what are the criteria to select pairs?

I'm new to this forum, this is the first question I posted. I have many candidate pairs and I've used ADF test to make a first selection. There are more than 800 selected. The pairs are absolutely too ...
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### What does the cointegration coefficient represent in pairs trading when cointegrating log stock prices?

In Pairs Trading by Vidyamurthy, on page 83 (and throughout the book), the author describes an elementary example of trading with log prices. The long run equilibrium of the basic portfolio is given ...
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### optimal look back period for cointegration analysis on daily prices

I'm running some cointegration tests on 2 stock pairs and was wondering, generally speaking, what would be the optimal look back period to test considering I am using daily prices and the average ...
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### Pair trading based on cointegration - equity line

I'm preparing a project at my Uni where I have to make a simple pair trading strategy using cointegration between two stocks. I'm stuck on the equity line calculation. I have prepared opening and ...
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### What P&L netting should one use when a strategy has trades in two different geographic locations?

I am familiar with the FIFO methodology of netting buys and sells to obtain a realized P&L and outstanding position. Suppose there's a strategy which runs in two different places A, and B and ...
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### How to select optimal look back period for statistical arbitrage?

Is it possible to estimate the optimal look back period for OLS from which we test if residuals are stationary? Almost all papers that I read use random look back periods of 100 days, 252 days, 500 ...
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### Mean reversion time estimation

I am new to mean reversion trading, and I would like to get some good references about how to estimate the time it takes to a mean reverting process to cross its long term mean.
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### References on Statistical Arbitrages

Is there any basic materials (books, papers) to read on Statistical Arbitrage? I certainly understand much of the useful information is in the industry. I just want to get some understanding on the ...
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### The meaning of Ornstein-Uhlenbeck parameters

I am trying to understand theOrnstein-Uhlenbeck process $dX_t = \kappa(\theta-X_t)dt + \sigma dW_t$ my question is what is the meaning of the parameters? and assuming that we know those parameters ...
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### How can I estimate the Ornstein-Uhlenbeck paramters of some mean reverting data that I have on R?

I have mean reverting data (Difference of 2 stock prices, that I want to do pairs trading on). I want to simulate my own mean reverting data as similar as possible to the real data that I have. The ...
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### Dou you have an example of implementing Engle-Granger 2-step cointegration?

Does anyone know where to find an example of implementing Engle-Granger 2-step cointegration? Python's ideal, but any language will do. I've skimmed and read many articles, but understand little ...
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What is the best way to begin calculations for pairs trading? I have seen two ways: 1) Start from the price ratio (StockAPrice/StockBPrice) and calculate mean, standard deviation and z-score from a ...
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### Cointegration Test: Residual is stationary but not random?

I am testing cointegration relationship on various pairs of stocks by this following these steps. Test for I(1) on a pair of stocks, says X and Y, using Dickey-Fuller test. If both time series are ...
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### use synthetics for a pairs trading strategy

Let us say I want to pursue a pair trading strategy between stock A(long) and stock B(short). Can I replace this stocks with their synthetic option equivalents and have the same risk reward profile ...