Abstract

This paper addresses the problem of designing an efficient platform for pairs-trading implementation in real time. Capturing the stylised features of a spread process, i.e., the evolution of the differential between the returns from a pair of stocks, exhibiting a heavy-tailed mean-reverting process is also dealt with. Likewise, the optimal recovery of time-varying parameters in a return-spread model is tackled. It is important to solve such issues in an integrated manner to carry out the execution of trading strategies in a dynamic market environment. The Kalman and hidden Markov model (HMM) multi-regime dynamic filtering approaches are fused together to provide a powerful method for pairs-trading actualisation. Practitioners’ considerations are taken into account in the way the new filtering method is automated. The synthesis of the HMM’s expectation–maximisation algorithm and Kalman filtering procedure gives rise to a set of self-updating optimal parameter estimates. The method put forward in this paper is a hybridisation of signal-processing algorithms. It highlights the critical role and beneficial utility of data fusion methods. Its appropriateness and novelty support the advancements of accurate predictive analytics involving big financial data sets. The algorithm’s performance is tested on historical return spread between Coca-Cola and Pepsi Inc.’s equities. Through a back-testing trade, a hypothetical trader might earn a non-zero profit under the assumption of no transaction costs and bid-ask spreads. The method’s success is illustrated by a trading simulation. The findings from this work show that there is high potential to gain when the transaction fees are low, and an investor is able to benefit from the proposed interplay of the two filtering methods.

Highlights

  • Pairs trading is an investment strategy used to exploit financial markets that are out of equilibrium

  • An hidden Markov model (HMM) is used to drive the dynamics of model parameters; the HMM in this discussion evolves in discrete time, it is possible to modulate model parameters with an HMM in continuous time [10] with time-varying jump intensities

  • Concluding remarks This work improved the performance of the pairs-trading strategy proposed by Elliott et al [1]

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Summary

Introduction

Pairs trading is an investment strategy used to exploit financial markets that are out of equilibrium. When there is a financial crisis, two stocks both decline in value; but the pair trade would result to a gain on the short position and an offsetting loss on the long position This will yield a profit close to zero in spite of the large market movement. In the case of this work, a method is developed that optimally and dynamically processes financial market signals thereby training model parameters so that they adapt well to market changes This will precipitate a decrease in the size of the traders’ positions and will decrease potential risks as well. The integrated Kalman-HMM filtering algorithms could be interfaced with today’s computing technologies to support the successful pairs-trading implementation in the industry, which undoubtedly relies on the accurate modelling of the spread series.

The trading strategy
Numerical demonstration
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