English

Non-stochastic portfolio theory

Portfolio Management 2018-02-28 v2

Abstract

This paper studies a non-stochastic version of Fernholz's stochastic portfolio theory for a simple model of stock markets with continuous price paths. It establishes non-stochastic versions of the most basic results of stochastic portfolio theory and discusses connections with Stroock-Varadhan martingales.

Keywords

Cite

@article{arxiv.1712.09108,
  title  = {Non-stochastic portfolio theory},
  author = {Vladimir Vovk},
  journal= {arXiv preprint arXiv:1712.09108},
  year   = {2018}
}

Comments

16 pages, 1 figure; Working Paper 51 at http://probabilityandfinance.com

R2 v1 2026-06-22T23:28:55.104Z