English

A second-order stock market model

Statistical Finance 2013-02-18 v1 Probability

Abstract

A first-order model for a stock market assigns to each stock a return parameter and a variance parameter that depend only on the rank of the stock. A second-order model assigns these parameters based on both the rank and the name of the stock. First- and second-order models exhibit stability properties that make them appropriate as a backdrop for the analysis of the idiosyncratic behavior of individual stocks. Methods for the estimation of the parameters of second-order models are developed in this paper.

Keywords

Cite

@article{arxiv.1302.3870,
  title  = {A second-order stock market model},
  author = {Robert Fernholz and Tomoyuki Ichiba and Ioannis Karatzas},
  journal= {arXiv preprint arXiv:1302.3870},
  year   = {2013}
}

Comments

15 pages

R2 v1 2026-06-21T23:27:09.773Z