A new alternative diffusion model for asset price movements is presented. In contrast to the popular approach of Brownian motion it proposes deterministic diffusion for the modelling of stock price movements. These diffusion processes are a new area of physical research and can be created by the...

We present solutions to some discounted optimal stopping problems for the maximum process in a model driven by a Brownian motion and a compound Poisson process with exponential jumps. The method of proof is based on reducing the initial problems to integro-differential free-boundary problems...

This note derives new expressions for the moments of the average of values taken by Wiener paths at an arbitrary number, N, of discrete times. The expressions are closed summations, which entail only the N-th powers of, and the successive differences between, the moments of the lognormal finite...

We discuss here an alternative interpretation of the familiar binomial lattice approach to option pricing, illustrating it with reference to pricing of barrier options, one- and two-sided, with fixed, moving or partial barriers, and also the pricing of American put options. It has often been...

We identify and explain a structural change in the relation between crude oil futures prices across contract maturities. As recently as 2001, near- and long-dated futures were priced as though traded in segmented markets. In 2002, however, the prices of one-year futures started to move more in...

The exercise of a warrant leads to the well-known dilution phenomenon, whose effects have been extensively studied over the last four decades. In contrast, the existing literature has paid inadequate attention to the volatility spillover between stockholders and warrant holders. This...

The pricing formulas for European call and put options under arithmetic Brownian motion (ABM) are derived via risk-neutral valuation using the martingale measure, and checked against the corresponding Black-Scholes-like partial differential equation (PDE). In quite a few limiting cases, the...

Parametric option pricing models are largely used in Finance. These models capture several features of asset price dynamics. However, their pricing performance can be significantly enhanced when they are combined with nonparametric learning approaches that learn and correct empirically the...

We adopt a quadratic approach to the valuation of the option to exchange one asset for another, when the option owner has the right to exercise prior to option expiration. Accurate pricing results are obtained and tested against competitive models in the literature, building on the hypothesis...

We consider the problem of pricing inflation-linked caplets in a Black-Scholes-type framework as well as in the presence of stochastic volatility. By using results on the pricing of forward starting options in Heston's Model on stochastic volatility, we derive closed-form solutions for...