A new method to retrieve the risk-neutral probability measure from observed option prices is developed and a closed form pricing formula for European options is obtained by employing a modified Gram-Charlier series expansion, known as the Gauss-Hermite expansion. This expansion converges for...

We present a quasi-analytical method for pricing multi-dimensional American options based on interpolating two arbitrage bounds, along the lines of Johnson (1983). Our method allows for the close examination of the interpolation parameter on a rigorous theoretical footing instead of empirical...

This contribution deals with options on assets which pay cash dividends. Pricing methods which consider discrete dividends are usually computationally expensive; a first purpose of this paper is to study efficient and accurate numerical procedures which yield consistent prices for both European...

We propose an efficient method to evaluate callable and putable bonds under a wide class of interest rate models, including the popular short rate diffusion models, as well as their time changed versions with jumps. The method is based on the eigenfunction expansion of the pricing operator....

We analyse the Galerkin Infinite Element method for pricing European barrier options and, more generally, options with discontinuous payoff. The Infinite Element method is a very simple and efficient modification of the more common Finite Element method. It keeps the best features of Finite...

Psychological barriers are prevalent among various asset classes, and it is important to consider their impact on the prices of derivative securities. This paper demonstrates the potential existence of such barriers on the S&P 500 Index and examines their impact on this index's rate of return...

Partial-integro differential formulations are often used for pricing American options under jump-diffusion models. A survey on such formulations and numerical methods for them is presented. A detailed description of six efficient methods based on a linear complementarity formulation and finite...

A numerical method to price options with moving barrier and time-dependent rebate is proposed. In particular, using the so-called Boundary Element Method, an integral representation of the barrier option price is derived in which one of the integrand function is not given explicitly but must be...

Recently, the advantages of conformal deformations of the contours of integration in pricing formulas were demonstrated in the context of wide classes of Levy models and the Heston model. In the present paper we construct efficient conformal deformations of the contours of integration in the...

We propose a novel, fast, accurate parallel algorithm for pricing American options. We perform a thorough numerical analysis of existing methodologies and find that ours performs significantly better. The proposed method is stable, robust, and converges monotonically. We also show that the...