A deterministic approach for solving the Hull and White interest rate model.

Abstract

This work considers the resolution of the Hull and White interest rate model. A deterministic process is adopted to model the random behavior of interest rate variation as a deterministic perturbation. It shows that the interest rate function and the yield function of the Hull and White interest rate model can be obtained by solving a nonlinear semi-infinite programming problem. A relaxed cutting plane algorithm is then proposed for the resulting optimization problem. The features of the proposed method are tested using a set of real data and compared with some commonly used spline fitting methods.