English

Numerical Solution of Dynamic Portfolio Optimization with Transaction Costs

Portfolio Management 2020-03-05 v1 General Economics Computational Finance Economics Mathematical Finance

Abstract

We apply numerical dynamic programming techniques to solve discrete-time multi-asset dynamic portfolio optimization problems with proportional transaction costs and shorting/borrowing constraints. Examples include problems with multiple assets, and many trading periods in a finite horizon problem. We also solve dynamic stochastic problems, with a portfolio including one risk-free asset, an option, and its underlying risky asset, under the existence of transaction costs and constraints. These examples show that it is now tractable to solve such problems.

Keywords

Cite

@article{arxiv.2003.01809,
  title  = {Numerical Solution of Dynamic Portfolio Optimization with Transaction Costs},
  author = {Yongyang Cai and Kenneth Judd and Rong Xu},
  journal= {arXiv preprint arXiv:2003.01809},
  year   = {2020}
}
R2 v1 2026-06-23T14:02:56.625Z