Lattice methods are often used to value derivative instruments. Multinomial lattice methods can in principle converge to the true value of the derivative to very high order. In this paper we describe how very high order multinomial lattices can be constructed and implemented when the SDE...

This paper is concerned with the pricing of European continuous-installment options where the aim is to determine the initial premium given the installment payments schedule. The particular feature of this pricing problem is the determination, along with the initial premium, of an optimal...

Many derivatives prices and their Greeks are closed-form expressions in the Black-Scholes model; when the terminal distribution is a mixed lognormal, prices and Greeks for these derivatives are then a weighted average of these closed-form) expressions. They can therefore be calculated easily and...

In this paper, we describe a numerical method to price barrier options on a zero-coupon bond. The method can be applied to one-factor short rate models where the transtion distribution function of the short rate is known and no explicit solutions for barrier bond options are available. We give...