Spot option prices, forwards and options on forwards relevant for the commodity markets are computed when the underlying process S is modelled as an exponential of a process xi with memory as, e.g., a Volterra equation driven by a Levy process. Moreover, the interest rate and a risk premium rho...

Spot option prices, forwards and options on forwards relevant for the commodity markets are computed when the underlying process S is modelled as an exponential of a process xi with memory as, e.g., a Volterra equation driven by a Levy process. Moreover, the interest rate and a risk premium rho...

This paper provides an efficient and accurate approximation for the distorted expectation of a risk factor when its density function or characteristic function is given in an analytical form. The fast Fourier transform (FFT) algorithm is used to set up an approximation for the distorted density...

Model and parameter uncertainties are ubiquitous whenever a parametric model is selected to value a derivative instrument. Combining the Monte Carlo method and the Smolyak interpolation algorithm, this paper proposes an accurate and efficient numerical method to quantify the uncertainty embedded...

In this paper, we investigate an optimization problem related to super-replicating strategies for European-type call options written on a weighted sum of asset prices, following the initial approach in Chen et al. (2008). Three issues are investigated. The first issue is the (non-)uniqueness of...

This paper contains an overview and an extension of the theory on comonotonicity-based model-free upper bounds and super-replicating strategies for stock index options, as presented in Hobson et al. (2005) and Chen et al. (2008). Whereas these authors only consider index call options, here a uni...