Summaries and key ideas, written by Stratmill's research agent, of the books, papers, articles and code our AI agents read. Each page links to its original.
765 documents
The document outlines several ways cointegration can inform trading and portfolio analysis. For two traded securities, a stable long-run relationship can motivate a pairs strategy: estimate the relationship, monitor the spread, and take opposing positions…
The document explains why cointegration-based pairs trading research often regresses log prices instead of raw prices. In an Engle–Granger approach, cointegration is assessed through the regression residuals; logging prices may make their relationship more…
The document asks how to test whether a pairs trading strategy has predictive power, and whether detrending methods used for other trading systems apply when the traded signal is already a linear combination of two price series. The answers outline two…
The document explains how to identify candidate pairs for trading relative moves in equity-option implied volatility, even when the individual volatility series are already stationary. Cointegration is not essential: the relevant question is whether a spread…
The document discusses a pairs-trading spread formed from the log prices of two stocks, with a hedge ratio estimated by rolling ordinary least squares. The questioner treats deviations in the spread as mean-reversion signals and asks whether a negative…
The document raises a question about how to interpret a Kalman filter signal in a mean-reverting spread strategy. In the cited setup, the latent spread follows a mean-reverting process, while observed spread values include measurement noise. The proposed…
The document explains how to interpret differences in government bond Z-spreads when comparing bonds of similar maturity. A higher Z-spread means the bond’s price is lower relative to the reference zero-coupon curve, because a larger discount spread is…
The document explains why cointegration is tested on price levels rather than on price differences or returns. Cointegration applies when two nonstationary series have a linear combination that is stationary. Since differences and log returns are often…
The document considers how to express a long Mexican peso versus Japanese yen position using separate currency futures. It compares the dollar-equivalent notionals of two yen contracts and one peso contract, then asks whether the proposed direction is to…
The document outlines a proposed automated foreign-exchange strategy built around cointegration and forecasting a spread. Its listed workflow transforms price data into log returns, treats outliers, performs linear regression, tests for cointegration with an…
The document examines why equal-dollar long and short positions are sometimes compared with cash-like benchmarks, while emphasizing that dollar neutrality does not make a portfolio riskless. A long-short portfolio can reduce broad market exposure and seek…
The document discusses how to turn an Engle–Granger cointegration test into a pairs trade. It estimates a hedge ratio by regressing one asset’s price on the other without an intercept, forms the residual spread as the first price minus the…
The document presents ways to simulate multiple price series whose log prices share stationary long-run relationships. One approach specifies an error-correction mechanism: deviations from a chosen cointegrating combination pull the series back toward…
This question examines how to manage simultaneous pair trades that each use the same ETF as a hedge. One signal calls for a long position in a stock against a short ETF position, while another calls for a short stock position against a long ETF position. The…
The question asks why eigenvectors from the Johansen cointegration procedure can serve as hedge ratios for a portfolio intended to be stationary. The answer offers a geometric account of eigenvectors and relates the weights to historical dependence among…
The discussion asks whether cointegration between two pairs of series implies cointegration between the outer pair, and whether test statistics can bound that relationship. It highlights a key condition: if X and Y share a stationary residual, and Y and Z…
The note distinguishes gross return on traded notional from return on capital employed for a long-short pair trade. In its example, the long and short legs each have the same initial dollar notional, and their combined gains produce a gross return calculated…
The discussion considers why experienced human traders can earn money using familiar approaches such as pairs trading, trend following, and factor investing. It offers several possible explanations: chance can leave a visible group of winners, strategy…
The document considers replacing a stock pair trade based on cointegration with long at-the-money options: calls on the underperforming stock and puts on the outperforming stock, sized using the cointegration hedge ratio. The response highlights three key…
The document asks why a spread formed from an in-sample OLS regression of one asset on another diverges out of sample, even though the assets appear cointegrated and their simple price difference stays relatively bounded. The proposed spread scales one…
The document describes difficulties backtesting a simple intraday pairs strategy on 30-minute bars. The author has calculated a spread, hedge ratio, and standard deviation, and uses spread thresholds to create long and short signals. Treating the spread…
The document considers three cointegrated stocks with known portfolio weights and a mean-reversion view: when the weighted portfolio falls unusually low, a trader may expect it to recover. It first describes matching the portfolio’s directional exposure by…
The document describes a proposed statistical arbitrage workflow: enumerate combinations of assets, estimate hedge weights by regressing one asset on the others, and seek a spread with substantial high-frequency variation but little low-frequency drift. A…
The document explains why funds paired short positions in Volkswagen ordinary shares with long positions in preference shares during Porsche’s takeover campaign. The two classes had similar economic cash flows, but only the ordinary shares carried voting…