We present explicit formulae allowing us to price compound and exchange options in the framework of the affine term structure model. The various proposed options deal with discount bonds, coupon bonds and yields. A probabilistic approach is adopted in order to find closed-form pricing formulae....

In this paper we address the theoretical problem of evaluating the quality option embedded in interest rate futures contracts. We use the martingale properties of the prices of interest-rate contingent claims under different probability measures in order to derive solutions for the value of...

A proof of convergence is presented for a simplified numerical integration method for solving systems of correlated stochastic differential equations describing mean reverting geometric Brownian motion. Such systems arise in modelling the time evolution of interest rate term structures. For time...

This paper provides extensions to procedures for the implementation of two well-known term structure models. In the first part, a misleading implication given in two textbooks concerning the ability to fit a Ho-Lee type term structure tree through trial and error is corrected, and it is shown...

The first three factors resulting from a principal components analysis of term structure data are, in the literature, typically interpreted as driving the level, slope and curvature of the term structure. Using slight generalizations of theorems from total positivity, we present sufficient...