Annals of Finance

, Volume 9, Issue 3, pp 439–454 | Cite as

A second-order stock market model

  • Robert Fernholz
  • Tomoyuki Ichiba
  • Ioannis Karatzas
Research Article

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

Stochastic portfolio theory Atlas model First-order model Second-order model 

JEL Classification

G10 

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References

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Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  • Robert Fernholz
    • 1
  • Tomoyuki Ichiba
    • 2
  • Ioannis Karatzas
    • 1
  1. 1.INTECHPrincetonUSA
  2. 2.Department of Statistics and Applied Probability, South HallUniversity of CaliforniaSanta BarbaraUSA

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