Finding Moving-Band Statistical Arbitrages via Convex-Concave Optimization

Fuente: arXiv
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Auteurs principaux: Johansson, Kasper, Schmelzer, Thomas, Boyd, Stephen
Format: Preprint
Publié: 2024
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author Johansson, Kasper
Schmelzer, Thomas
Boyd, Stephen
author_facet Johansson, Kasper
Schmelzer, Thomas
Boyd, Stephen
contents We propose a new method for finding statistical arbitrages that can contain more assets than just the traditional pair. We formulate the problem as seeking a portfolio with the highest volatility, subject to its price remaining in a band and a leverage limit. This optimization problem is not convex, but can be approximately solved using the convex-concave procedure, a specific sequential convex programming method. We show how the method generalizes to finding moving-band statistical arbitrages, where the price band midpoint varies over time.
format Preprint
id arxiv_https___arxiv_org_abs_2402_08108
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Finding Moving-Band Statistical Arbitrages via Convex-Concave Optimization
Johansson, Kasper
Schmelzer, Thomas
Boyd, Stephen
Econometrics
Machine Learning
Portfolio Management
We propose a new method for finding statistical arbitrages that can contain more assets than just the traditional pair. We formulate the problem as seeking a portfolio with the highest volatility, subject to its price remaining in a band and a leverage limit. This optimization problem is not convex, but can be approximately solved using the convex-concave procedure, a specific sequential convex programming method. We show how the method generalizes to finding moving-band statistical arbitrages, where the price band midpoint varies over time.
title Finding Moving-Band Statistical Arbitrages via Convex-Concave Optimization
topic Econometrics
Machine Learning
Portfolio Management
url https://arxiv.org/abs/2402.08108