English

What is the natural scale for a L\'evy process in modelling term structure of interest rates?

Probability 2008-12-10 v1 Computational Finance

Abstract

This paper gives examples of explicit arbitrage-free term structure models with L\'evy jumps via state price density approach. By generalizing quadratic Gaussian models, it is found that the probability density function of a L\'evy process is a "natural" scale for the process to be the state variable of a market.

Keywords

Cite

@article{arxiv.math/0612341,
  title  = {What is the natural scale for a L\'evy process in modelling term structure of interest rates?},
  author = {Jirô Akahori and Takahiro Tsuchiya},
  journal= {arXiv preprint arXiv:math/0612341},
  year   = {2008}
}