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

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  • Francesca Centrone

    (Department of Economics and Business Studies, University of Eastern Piedmont, 28100 Novara, Italy)

  • Emanuela Rosazza Gianin

    (Department of Statistics and Quantitative Methods, University of Milano-Bicocca, 20126 Milano, Italy)

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.

Suggested Citation

  • Francesca Centrone & Emanuela Rosazza Gianin, 2025. "Capital Allocation Rules and Generalized Collapse to the Mean: Theory and Practice," Mathematics, MDPI, vol. 13(6), pages 1-14, March.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:6:p:964-:d:1612548
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