We examine by numerical experiments the accuracy of an analytical approximation for the nonlinear term structure of interest rates, which is obtained by applying the local linear approximation to a generally specified process of the short rate. Under various short-rate models, we compare...

We propose an analytical approximation of the term structure of interest rates under general diffusion processes of the short-rate and state variables. A method of approximating conditional moments as the solution to a system of ordinary differential equations is applied to the pricing of bonds....

Nonlinear drift models of the short rate are estimated using data on the short end of the term structure, where the cross-sectional relation is obtained by an analytical approximation. The findings reveal that (i) nonlinear physical drift is not implied unless it is strongly affected by...