English

Valuation and parities for exchange options

Pricing of Securities 2014-12-02 v2 Probability

Abstract

Valuation and parity formulas for both European-style and American-style exchange options are presented in a general financial model allowing for jumps, possibility of default and "bubbles" in asset prices. The formulas are given via expectations of auxiliary probabilities using the change-of-numeraire technique. Extensive discussion is provided regarding the way that folklore results such as Merton's no-early-exercise theorem and traditional parity relations have to be altered in this more versatile framework.

Keywords

Cite

@article{arxiv.1206.3220,
  title  = {Valuation and parities for exchange options},
  author = {Constantinos Kardaras},
  journal= {arXiv preprint arXiv:1206.3220},
  year   = {2014}
}

Comments

19 pages

R2 v1 2026-06-21T21:19:29.808Z