The Heston model stands out from the class of stochastic volatility (SV) models mainly for two reasons. Firstly, the process for the volatility is nonnegative and mean-reverting, which is what we observe in the markets. Secondly, there exists a fast and easily implemented semi-analytical...

This paper introduces a new numerical option pricing method by fast recursive projections. The projection step consists in representing the payoff and the state price density with a fast discrete transform based on a simple grid sampling. The recursive step consists in transmitting coefficients...

In this paper we consider the optimal stopping problem for general dynamic monetary utility functionals. Sufficient conditions for the Bellman principle and the existence of optimal stopping times are provided. Particular attention is payed to representations which allow for a numerical...

Motivated by the changing nature of the natural gas industry in the European Union driven by the liberalization process, we focus on pricing of gas swing options. These options are embedded in typical gas sales agreements in the form of offtake flexibility concerning volume and time. The gas...

We develop a simulation algorithm for estimating the prices of American-style securities, i.e. securities with opportunities for early exercice. Our algorithm provides both point estimates and error bounds for true security price.

Este artículo quiere mostrar los usos y las utilidades de MATLAB©, tanto en la enseñanza como en las aplicaciones de la Matemática Financiera. El artículo tiene dos partes bien diferenciadas: en la primera se hace un estudio estadístico de los datos del Ibex 35 durante gran parte del año...

In this paper a simulation approach for defaultable yield curves is developed within the Heath et al. (1992) framework. The default event is modelled using the Cox process where the stochastic intensity represents the credit spread. The forward credit spread volatility function is affected by...

This contribution deals with options on assets which pay discrete dividends. We analyze some methodologies to extract information on dividends from observable option prices. Implied dividends can be computed using a modified version of the well known put-call parity relationship. This technique...

We present a Monte Carlo valuation of iTraxx IG index tranches, combining structural and reduced-form models. The aim is to find tranche fair values, taking into account full term structures and actual correlations between individual firms.For 125 firms in the index, 1, 3 and 5-year CDS are used...

We derive representations for forward sensitivities (also known as future sensitivities) in a Monte-Carlo simulation suitable for backward and forward differentiation. We compare the performance of the two approaches.The calculation of all forward sensitivities of a Monte-Carlo simulation with n...