Pair trading based on quantile forecasting of smooth transition GARCH models

• Published in: The North American journal of economics and finance Vol. 39; pp. 38 - 55
• Main Authors: Chen, Cathy W.S., Wang, Zona, Sriboonchitta, Songsak, Lee, Sangyeol
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 01.01.2017
• Subjects: Bayesian inference; Markov chain Monte Carlo methods; Out-of-sample forecasts; Pair trading; Quantile forecasting; Second-order logistic transition function; Smooth transition GARCH model; C53; Pair trading; Out-of-sample forecasts; Quantile forecasting; C11; C22; Second-order logistic transition function; C58; Bayesian inference; Markov chain Monte Carlo methods; C51; Smooth transition GARCH model
• ISSN: 1062-9408; 1879-0860
• DOI: 10.1016/j.najef.2016.10.015

•Choose the trading pairs by the minimum squared distance method and expert opinion.•Two methods trigger the entry/exit signals to capitalize on market inefficiencies.•Trading strategies are from nonlinear time-series and quantile forecasting methods.•Combine the pair selection with trading strategies to get strong empirical results.•The threshold values and quantile forecasts are obtained via Bayesian MCMC methods. Pair trading is a statistical arbitrage strategy used on similar assets with dissimilar valuations. We utilize smooth transition heteroskedastic models with a second-order logistic function to generate trading entry and exit signals and suggest two pair trading strategies: the first uses the upper and lower threshold values in the proposed model as trading entry and exit signals, while the second strategy instead takes one-step-ahead quantile forecasts obtained from the same model. We employ Bayesian Markov chain Monte Carlo sampling methods for updating the estimates and quantile forecasts. As an illustration, we conduct a simulation study and empirical analysis of the daily stock returns of 36 stocks from U.S. stock markets. We use the minimum square distance method to select ten stock pairs, choose additional five pairs consisting of two companies in the same industrial sector, and then finally consider pair trading profits for two out-of-sample periods in 2014 within a six-month time frame as well as for the entire year. The proposed strategies yield average annualized returns of at least 35.5% without a transaction cost and at least 18.4% with a transaction cost.