English

Optimal Portfolio Design for Statistical Arbitrage in Finance

Portfolio Management 2018-03-09 v1

Abstract

In this paper, the optimal mean-reverting portfolio (MRP) design problem is considered, which plays an important role for the statistical arbitrage (a.k.a. pairs trading) strategy in financial markets. The target of the optimal MRP design is to construct a portfolio from the underlying assets that can exhibit a satisfactory mean reversion property and a desirable variance property. A general problem formulation is proposed by considering these two targets and an investment leverage constraint. To solve this problem, a successive convex approximation method is used. The performance of the proposed model and algorithms are verified by numerical simulations.

Keywords

Cite

@article{arxiv.1803.02974,
  title  = {Optimal Portfolio Design for Statistical Arbitrage in Finance},
  author = {Ziping Zhao and Rui Zhou and Zhongju Wang and Daniel P. Palomar},
  journal= {arXiv preprint arXiv:1803.02974},
  year   = {2018}
}

Comments

12 pages, 4 figures

R2 v1 2026-06-23T00:46:05.524Z