The aim of this paper is to propose a numerical method to price the Chicago Board of Trade Treasury-bond futures. This contract is one of the most traded in the world, largely because of its ability to hedge long term interest rate risk. The difficulty to price it arises from its multiple...

One aim of Viability Theory is to regulate evolutions under uncertainty in order not only to reach a target in finite time, but also to fulfill constraints (known as viability) until this time. Within the framework of finance, in the case of replicating portfolios, the target is defined by the...

The focus in this paper is on the time series dynamics of the basis for commodity futures. These have special interest since regulation of commodity markets is much laxer than is typical for stock markets. However, although such futures contracts have been traded for several decades, they have...

There is a general argument saying that adding derivative securities (options) to a financial market makes the market more efficient, and has therefore a stabilising effect. We investigate this claim by adding Arrow securities on future states of the world in the asset pricing model with...

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...

While the conditional volatility of time series is always dependent of the model specification, the {\\em ex post} or realized volatility series is often constructed on a model-free basis. The common proxies of daily volatility in the literature are the squared daily asset returns and the sum of...

This paper examines two numerical methods for pricing of American spread options in the case where both underlying assets follow the jump-diffusion process of Merton (1976). We extend the integral equation representation for the American spread option presented by Broadie and Detemple (1997) to...

The pricing problem of options with an early exercise feature, such as American options, is one of the important topics in mathematical finance. The pricing formulas for American options, however, have not been found in general and the numerical methods are required to derive the price of these...

Option pricing model with non-constant volatility models are compared to stochastic volatility ones. The non-constant volatility models considered are the Dupire's local volatility and Hobson and Rogers path-dependent volatility models. These approaches have the theoretical advantage of...