English

Continuous time Ehrenfest process in term structure modelling

Pricing of Securities 2010-04-01 v1 Probability

Abstract

In this paper, a finite-state mean-reverting model for the short-rate, based on the continuous time Ehrenfest process, will be examined. Two explicit pricing formulae for zero-coupon bonds will be derived in the general and the special symmetric cases. Its limiting relationship to the Vasicek model will be examined with some numerical results.

Keywords

Cite

@article{arxiv.1003.6042,
  title  = {Continuous time Ehrenfest process in term structure modelling},
  author = {Alexander Kaplun},
  journal= {arXiv preprint arXiv:1003.6042},
  year   = {2010}
}

Comments

20 pages, 6 figures. Submitted to Applied Probability Trust.

R2 v1 2026-06-21T15:04:59.530Z