Markowitz Portfolio Construction at Seventy

Fuente: arXiv
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Autori principali: Boyd, Stephen, Johansson, Kasper, Kahn, Ronald, Schiele, Philipp, Schmelzer, Thomas
Natura: Preprint
Pubblicazione: 2024
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author Boyd, Stephen
Johansson, Kasper
Kahn, Ronald
Schiele, Philipp
Schmelzer, Thomas
author_facet Boyd, Stephen
Johansson, Kasper
Kahn, Ronald
Schiele, Philipp
Schmelzer, Thomas
contents More than seventy years ago Harry Markowitz formulated portfolio construction as an optimization problem that trades off expected return and risk, defined as the standard deviation of the portfolio returns. Since then the method has been extended to include many practical constraints and objective terms, such as transaction cost or leverage limits. Despite several criticisms of Markowitz's method, for example its sensitivity to poor forecasts of the return statistics, it has become the dominant quantitative method for portfolio construction in practice. In this article we describe an extension of Markowitz's method that addresses many practical effects and gracefully handles the uncertainty inherent in return statistics forecasting. Like Markowitz's original formulation, the extension is also a convex optimization problem, which can be solved with high reliability and speed.
format Preprint
id arxiv_https___arxiv_org_abs_2401_05080
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Markowitz Portfolio Construction at Seventy
Boyd, Stephen
Johansson, Kasper
Kahn, Ronald
Schiele, Philipp
Schmelzer, Thomas
Portfolio Management
Optimization and Control
More than seventy years ago Harry Markowitz formulated portfolio construction as an optimization problem that trades off expected return and risk, defined as the standard deviation of the portfolio returns. Since then the method has been extended to include many practical constraints and objective terms, such as transaction cost or leverage limits. Despite several criticisms of Markowitz's method, for example its sensitivity to poor forecasts of the return statistics, it has become the dominant quantitative method for portfolio construction in practice. In this article we describe an extension of Markowitz's method that addresses many practical effects and gracefully handles the uncertainty inherent in return statistics forecasting. Like Markowitz's original formulation, the extension is also a convex optimization problem, which can be solved with high reliability and speed.
title Markowitz Portfolio Construction at Seventy
topic Portfolio Management
Optimization and Control
url https://arxiv.org/abs/2401.05080