Work

Capital Allocation Rules and Generalized Collapse to the Mean: Theory and Practice

Year: 2025

Type: article

Abstract: In this paper, we focus on capital allocation methods based on marginal contributions. In particular, concerning the relation between linear capital allocation rules and the well-known Gradient (or Euler) allocation, we investigate an extension to the convex and non-differentiable case of the result above and its link with the “generalized collapse to the mean” problem. This preliminary result goes in the direction of applying the popular marginal contribution method, which fosters the diversification of risk, to the case of more general risk measures. In this context, we will also discuss and point out some numerical issues linked to marginal methods and some future research directions.

Source: Mathematics

DOI: 10.3390/math13060964

Authors: Francesca Centrone, Emanuela Rosazza Gianin

Institutions: Università degli Studi del Piemonte Orientale “Amedeo Avogadro”, University of Milano-Bicocca

Language: English

Topic: Risk and Portfolio Optimization

Subfield: Management Science and Operations Research

Field: Decision Sciences

Domain: Social Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni