An overview of modern and historical interest rate model theory is given with thespecific aim of derivative pricing. A variety of stochastic interest rate models arediscussed within a South African market context. The various models arecompared with respect to characteristics such as mean...

This paper develops a discrete-time two-factor model of interest rates with analytical solutions for bonds and many interest rate derivatives when the volatility of the short rate follows a GARCH process that can be correlated with the level of the short rate itself. Besides bond and bond...