A constrained hierarchical risk parity algorithm with cluster-based capital allocation
Stellenbosch Working Paper Series No. WP14/2019Publication date: November 2019
Author(s):
[protected email address] (Department of Economics, Stellenbosch University & Prescient Securities, Cape Town)
Hierarchical Risk Parity (HRP) is a risk-based portfolio optimisation algorithm, which has been shown to generate diversified portfolios with robust out-of-sample properties without the need for a positive-definite return covariance matrix (Lopez de Prado 2016). The algorithm applies machine learning techniques to identify the underlying hierarchical correlation structure of the portfolio, allowing clusters of similar assets to compete for capital. The resulting allocation is both well-diversified over risk sources and intuitively appealing. This paper proposes a method of fully exploiting the information created by the clustering process, achieving enhanced out-of-sample risk and return characteristics. In addition, a practical approach to calculating HRP weights under box and group constraints is introduced. A comprehensive set of portfolio simulations over 6 equity universes demonstrates the appeal of the algorithm for portfolios consisting of 20 - 200 assets. HRP delivers highly diversified allocations with low volatility, low portfolio turnover and competitive performance metrics.
JEL Classification:G110
Keywords:Risk Parity, Diversification, Portfolio Optimisation, Clustering
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27 Jun 2025 Another setback for the GNU, but oil markets breathe a little easierThis week was marked by heightened tensions both domestically and internationally. At home, friction intensified between the two largest parties in the Government of National Unity (GNU), the ANC and the DA, following the firing of one of the DA's deputy ministers. Internationally, the US conducted airstrikes on three Iranian nuclear facilities using...
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