Short-rate models#

Models of the instantaneous short rate that produce their own yield curve: Merton, Vasicek and Cox-Ingersoll-Ross, the affine family that contains them, and the two-factor G2++, all checked against Feynman-Kac Monte Carlo.

Feynman-Kac: bond prices by Monte Carlo

Feynman-Kac: bond prices by Monte Carlo

Feller’s boundary condition

Feller's boundary condition

Merton’s Gaussian short rate

Merton's Gaussian short rate

Vasicek’s mean-reverting short rate

Vasicek's mean-reverting short rate

Cox-Ingersoll-Ross: the square-root short rate

Cox-Ingersoll-Ross: the square-root short rate

Duffie-Kan: affine term structures

Duffie-Kan: affine term structures

Brigo-Mercurio G2++: two Gaussian factors

Brigo-Mercurio G2++: two Gaussian factors