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Multi-Period Portfolio Optimization Model with Cone Constraints and Discrete Decisions
Journal article   Open access   Peer reviewed

Multi-Period Portfolio Optimization Model with Cone Constraints and Discrete Decisions

Ümit Sağlam and Hande Y Benson
Journal of risk and financial management, v 18(4), 218
18 Apr 2025
url
https://doi.org/10.3390/jrfm18040218View
Published, Version of Record (VoR)Open Access Discount via Drexel Libraries Read and Publish Program 2025CC BY V4.0 Open

Abstract

This work develops a practical multi-period optimization approach that incorporates real-world constraints, including discrete decisions and conic risk constraints. Expanding upon earlier single-period models, our framework employs a binary scenario tree derived from monthly returns of randomly selected S&P 500 stocks to represent market evolution across multiple periods. The formulation captures essential portfolio constraints, such as transaction fees, sector diversification, and minimum investment thresholds, resulting in a robust and comprehensive optimization approach. To efficiently solve the resulting mixed-integer second-order cone programming (MISOCP) problem, we employ an outer approximation algorithm with a warmstart strategy, which significantly improves solution runtimes and computational efficiency. Numerical experiments demonstrate the model’s effectiveness, showing an average improvement of 10.71% in iteration count and 15.24% in computational time when using the warmstart approach.

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