English

A new market model in the large volatility case

Pricing of Securities 2008-12-02 v1 Optimization and Control

Abstract

We will compare three types of prices, namely, rational (hedging) prices, geometric (growth rate) prices, and martingale (measure) prices. We will show that rational prices in the complete market theory are sometimes contrary to common sense. In the continuous-time case, we insist that the market model should differ between the small volatility case and the large volatility case.

Keywords

Cite

@article{arxiv.0803.1589,
  title  = {A new market model in the large volatility case},
  author = {Yukio Hirashita},
  journal= {arXiv preprint arXiv:0803.1589},
  year   = {2008}
}

Comments

5 pages

R2 v1 2026-06-21T10:20:31.549Z