In the present paper we show how to extend any time-homogeneous short-rate model and analytically tractable short-rate model (such as Vasicek (1977), Cox-Ingersoll-Ross (1985), Dothan (1978)) to a model which can reproduce any observed yield curve, through a procedure that preserves the possible...

In the present paper we construct stock price processes with the same marginal log-normal law as that of a geometric Brownian motion and also with the same transition density (and returns' distributions) between any two instants in a given discrete-time grid. We then illustrate how option prices...

We introduce a general class of analytically tractable models for the dynamics of an asset price based on the assumption that the asset-price density is given by the mixture of known basic densities. We consider the lognormal-mixture model as a fundamental example, and for the first time we...

In the present paper we construct stock price processes with the same marginal log-normal law as that of a geometric Brownian motion and also with the same transition density (and returns' distributions) between any two instants in a given discrete-time grid. We then illustrate how option prices...