Questions tagged [pairs-trading]
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.
90
questions
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0answers
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Calculating % Return in Pairs Trading Strategy
Hi guys Could you help me here?
I would like to calculate the return of a Pairs Trading strategy. For example:
18/11 - Open the Trade: I will go long on A and Short on B:
Stock A : $ 32.24
Stock B ...
2
votes
1answer
101 views
Pairs Trading parameters
I am looking to optimize the open/close signals and time for a pairs trading strategy my partner and I are researching. We don't want to go p-hacking so we have been trying to decide:
We have 20+ ...
4
votes
1answer
52 views
Negatively Correlated Assets with similar medium-term trends
Theoretically, one could have stock prices with returns $\rho_1(k)$ and $\rho_2(k)$ having mean values $\mu_1$ and $\mu_2$, but still be negatively correlated with
$$
\mathbb{E}[(\rho_1(k)-\mu_1)(\...
1
vote
1answer
94 views
Pairs Trading situation Spread changes
I'm setting up and following a pair trading operation by the method of summing the distances squared (SSD). After determining the best pairs, I have to track the spread between the normalized prices.
...
2
votes
1answer
83 views
Bootstrap Method for Assessing Pairs Trading Performance
After reading this paper I tried to replicate it. I almost done, but I am stuck on the section 3.6 where the author constructs a random pair (how he constructs this?) for Assessing Pairs Trading ...
3
votes
3answers
218 views
Pair trading - short / long the spread
I am wading into pair trading concepts. Here is one article I've read.
I understand for these strategies our intention is to go long on one asset and short another, however I do not understand what ...
2
votes
1answer
78 views
generalisation of cointegrated stock pair strategies to multiple cointegration
Question: as it is well known, there are strategies to trade pairs of stocks which are known to be co-integrated. See for instance here:
https://medium.com/auquan/pairs-trading-data-science-...
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0answers
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Pair trading: Hege ratio by price ratio or by regression on the stocks
So I feel things like this question do exist on the site however I failed to form a conclusion based on what was written, so I decided to formulate my query as exactly as possible and hopefully anyone ...
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0answers
114 views
Pairs trading strategy: Portfolio returns and NAV
Currently trying a pairs trading approach using cointegration. Tried both formations:
$$log(P_t^A)=log(P_t^B) \hat{\gamma}+\hat{\mu}+\epsilon_t \hspace{0.5cm} (1)$$
$$P_t^A=P_t^B \hat{\gamma}+\hat{\...
0
votes
1answer
53 views
Short sale and zero investmest strategy
Suppose I want to build a pairs trading strategy. Theory says that we can create a zero-investment portfolio by going long stock A and short-selling stock B, given a certain hedge ratio. My question ...
5
votes
2answers
462 views
Cointegration and Ratio Pair Trading
I'm having some confusion doing Engle-Granger Cointegration test and then trade the ratio.
Methodology:
Run an OLS fit for A and B price time series without a constant. Therefore,
$\hat{Y} = \gamma \...
2
votes
3answers
282 views
Calculating Sharpe Ratio with dynamic position sizing
I'm currently backtesting a mean reversion pairs trading strategy. However, instead of simple long or short trading signals, I'm using multiple "levels", where the further away the spread is from the ...
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0answers
175 views
Pair trading strategies in fixed income
We usually hear about finding cointegrated pairs of stocks in pair trading, but it seems it is not as developed in fixed income despite the fact that the spectrum of securities is large (different ...
10
votes
1answer
4k views
How to calculate Sharpe Ratio from $ returns?
I have a pairs strategy that I am trying to calculate the sharpe ratio for. Currently I am using python for my analysis and calculation. I have a dataframe that contains the cumulative returns in $'s ...
1
vote
2answers
379 views
If two price series are cointegrated but not correlated, how do I find the hedge ratio?
Mathematically, what is going on here?
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vote
2answers
113 views
When constructing a cointegrating series, does choosing the linear regression with the lowest ADF test statistic yield the optimal hedging ratio?
Multiple sources say that you should find the optimal hedging ratio between two stocks in a pairs trade by conducting 2 linear regressions (with each stock as the independent variable), and using ...
0
votes
2answers
283 views
Standard deviation of a long-short portfolio with net position zero
I've come across the following question and I'm slightly stuck in answering it:
Suppose you have a two-stock portfolio that is long one stock of asset
A, and short one stock of asset B, with A ...
1
vote
2answers
603 views
Cointegration vs combination of returns
Hi Quantitative Finance,
I understand that there are a wealth of pairs trading models out there. Recently, it got me thinking as to why we go through the trouble to find cointegrated pairs while we ...
8
votes
3answers
740 views
Why isn't it appropriate to use correlation between prices in a pairs trade strategy?
I've already seen this question and read through all the answers, but I'm still confused about why you shouldn't use price correlation in a pairs trade strategy.
For example, if I'm looking at the ...
2
votes
1answer
170 views
Is this the correct way to hedge two securities against each other?
Let's say I believe that $ts_1$ and $ts_2$ move together and I would like to pairs trade them. Am I correct in understanding that to hedge them against each other I would get their $Var_1$, $Var_2$, ...
1
vote
1answer
1k views
How to “Standard Beta Hedge”?
Let's say I have 2 time-series, how would I "standard beta hedge" them against each other? For example, what if the position in 1 timeseries is 100 shares at 16 USD per share. Another time-series is ...
1
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0answers
263 views
Cointegration and pairs trading
I have intuition that cointegration between elements of pair of equities somehow contradicts pairs trading strategies. Because the better is linear fit of the model the less opportunities we have for ...
1
vote
1answer
4k views
Calculating the returns of a long/short strategy
I feel like an idiot asking this but i haven't found the answer anywhere.
I have backtestest a paris trading strategy, while calculating the returns of the strategy I run into some problems when the ...
2
votes
0answers
168 views
Relative Value Trading of American Style Options on Futures, Calcuating hedging ratios?
I am interested in Relative Value Trading of American style options on futures and have not found a whole lot of literature on it. The best resource I have discovered so far is a few pages in Colin ...
1
vote
2answers
216 views
pair trading - rolling adf test
I am testing a pair trading strategy. Every day I recalculate the hedge ratio using the past N prices of the 2 underlying. With the hedge ratio, I calculate the past N spreads and do an ADF test to ...
1
vote
1answer
663 views
calculating the pair weights from log price hedge ratio
I am calculating the hedge ratio using log prices:
$$
\ln(A) = \text{hedge_ratio} \cdot \ln(B)
$$
How do I convert the hedge_ratio into a number of shares of A vs....
3
votes
1answer
231 views
How do you decide what time frame you're going to use when testing for cointegration?
I've been fiddling around with different time frames when doing tests for cointegration between two timeseries, and I've realized that the dates that you use for your start/stop of the test will ...
0
votes
1answer
317 views
How can I apply error correction model in pairs trading?
I have read Vidyamurthy and others, but did not find clear example of error correction model (ECM) application in pairs trading.
How should I use the ECM model in the pairs trading?
How to use ECM ...
0
votes
2answers
2k views
Close or Adjusted Prices when Backtesting
I've been doing this for some years now, but recently, since I started fiddling around with an old pairs trading strat of mine again, when updating the databases before running the tests, I was ...
-1
votes
1answer
630 views
pair trading cointegration - calculating shares quantities traded, portfolio value and returns
I have a trading strategy based on the cointegration of X and Y where beta derived from the regression is 0.7. My initial capital to invest is 1000.
My understanding that the quantities of X and Y to ...
1
vote
1answer
367 views
What causes poor returns in pair trading of very cointegrated securities?
I've been running some backtests of a pair trading strategy on 1 year worth of 5 min bars of two securities and I've noticed pretty poor returns, especially once transaction costs are taken into ...
0
votes
1answer
243 views
How buying/selling pairs and entering/exiting trade works in pairs trading?
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 ...
4
votes
1answer
2k views
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 ...
2
votes
0answers
371 views
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 ...
4
votes
0answers
1k views
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 ...
2
votes
1answer
578 views
Mean reversion and adjusted beta for pairs trading
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 ...
2
votes
4answers
191 views
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 someone ...
1
vote
2answers
855 views
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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vote
0answers
304 views
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, ...
3
votes
3answers
189 views
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 ...
10
votes
2answers
2k views
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 ...
2
votes
1answer
390 views
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 ...
1
vote
1answer
272 views
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 ...
4
votes
2answers
1k views
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 ...
6
votes
1answer
765 views
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.
4
votes
3answers
585 views
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 ...
3
votes
1answer
1k views
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 ...
5
votes
2answers
6k views
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 ...
2
votes
3answers
2k views
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 ...
4
votes
3answers
4k views
Calculate spread for pairs trading
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, ...
