English

On a Stochastic Model of Diversification

Risk Management 2022-04-05 v1

Abstract

We propose a definition of diversification as a binary relationship between financial portfolios. According to it, a convex linear combination of several risk positions with some weights is considered to be less risky than the probabilistic mixture of the same risk positions with the same weights. It turns out to be that the proposed partial ordering coincides with the well-known second order stochastic dominance, but allows to take a look at it from another perspective.

Keywords

Cite

@article{arxiv.2204.01284,
  title  = {On a Stochastic Model of Diversification},
  author = {Maria Logvaneva and Mikhail Tselishchev},
  journal= {arXiv preprint arXiv:2204.01284},
  year   = {2022}
}
R2 v1 2026-06-24T10:36:34.259Z