English

New procedures for testing whether stock price processes are martingales

Statistical Finance 2011-02-16 v2

Abstract

We propose procedures for testing whether stock price processes are martingales based on limit order type betting strategies. We first show that the null hypothesis of martingale property of a stock price process can be tested based on the capital process of a betting strategy. In particular with high frequency Markov type strategies we find that martingale null hypotheses are rejected for many stock price processes.

Keywords

Cite

@article{arxiv.0907.3273,
  title  = {New procedures for testing whether stock price processes are martingales},
  author = {Kei Takeuchi and Akimichi Takemura and Masayuki Kumon},
  journal= {arXiv preprint arXiv:0907.3273},
  year   = {2011}
}
R2 v1 2026-06-21T13:26:35.955Z