A Semi-Markov Modulated Interest Rate Model
Pricing of Securities
2012-10-12 v1 Probability
Computational Finance
Abstract
In this paper we propose a semi-Markov modulated model of interest rates. We assume that the switching process is a semi-Markov process with finite state space E and the modulated process is a diffusive process. We derive recursive equations for the higher order moments of the discount factor and we describe a Monte Carlo al- gorithm to execute simulations. The results are specialized to classical models as those by Vasicek, Hull and White and CIR with a semi-Markov modulation.
Cite
@article{arxiv.1210.3164,
title = {A Semi-Markov Modulated Interest Rate Model},
author = {Guglielmo D'Amico and Raimondo Manca and Giovanni Salvi},
journal= {arXiv preprint arXiv:1210.3164},
year = {2012}
}