English

Heath-Jarrow-Morton-Musiela equation with linear volatility

Probability 2010-11-10 v2 Pricing of Securities

Abstract

The paper is concerned with the problem of existence of solutions for the Heath-Jarrow-Morton equation with linear volatility. Necessary conditions and sufficient conditions for the existence of weak solutions and strong solutions are provided. It is shown that the key role is played by the logarithmic growth conditions of the Laplace exponent.

Cite

@article{arxiv.1010.5808,
  title  = {Heath-Jarrow-Morton-Musiela equation with linear volatility},
  author = {Michal Barski and Jerzy Zabczyk},
  journal= {arXiv preprint arXiv:1010.5808},
  year   = {2010}
}
R2 v1 2026-06-21T16:35:13.612Z