Beyond Risk-Based Portfolios: Balancing Performance and Risk Contributions in Asset Allocation

Quantitative Finance, Vol. 18, Issue 8, pp.1249-1259, 2018

42 Pages Posted: 11 Aug 2016 Last revised: 31 Jul 2018

See all articles by David Ardia

David Ardia

HEC Montreal - Department of Decision Sciences

Kris Boudt

Ghent University; Vrije Universiteit Brussel; Vrije Universiteit Amsterdam

Giang Nguyen

Vrije Universiteit Brussel (VUB)

Date Written: November 11, 2016

Abstract

In a risk-based portfolio, there is no explicit control for the performance per unit of risk taken. We propose a framework to evaluate the balance between risk and performance at both the portfolio and component level, and to tilt the risk-based portfolio weights towards a state in which the performance and risk contributions are aligned. The key innovation is the Performance/Risk Contribution Concentration (PRCC) measure, which is designed to be minimal when, for all portfolio components, the performance and risk contributions are perfectly aligned. We investigate the theoretical properties of this measure and show its usefulness to obtain the PRCC modified risk-based portfolio weights, that avoid excesses in terms of deviations between the performance and risk contributions of the portfolio components, while still being close to the benchmark risk-based portfolio in terms of weights and relative performance.

Keywords: Asset Allocation, Performance/Risk Contribution, Target Relative Performance Portfolio

JEL Classification: C12, C21, C22

Suggested Citation

Ardia, David and Boudt, Kris and Nguyen, Giang, Beyond Risk-Based Portfolios: Balancing Performance and Risk Contributions in Asset Allocation (November 11, 2016). Quantitative Finance, Vol. 18, Issue 8, pp.1249-1259, 2018 , Available at SSRN: https://ssrn.com/abstract=2819789 or http://dx.doi.org/10.2139/ssrn.2819789

David Ardia

HEC Montreal - Department of Decision Sciences ( email )

3000 Côte-Sainte-Catherine Road
Montreal, QC H2S1L4
Canada

Kris Boudt (Contact Author)

Ghent University ( email )

Sint-Pietersplein 5
Gent, 9000
Belgium

Vrije Universiteit Brussel ( email )

Pleinlaan 2
http://www.vub.ac.be/
Brussels, 1050
Belgium

Vrije Universiteit Amsterdam ( email )

De Boelelaan 1105
Amsterdam, ND North Holland 1081 HV
Netherlands

Giang Nguyen

Vrije Universiteit Brussel (VUB) ( email )

Pleinlaan 2
http://www.vub.ac.be/
Brussels, 1050
Belgium

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