SWIFT valuation of discretely monitored arithmetic Asian options

Pricing Discretely Monitored Asian Options under Lévy Processes

We present methodologies to price discretely monitored Asian options when the underlying evolves according to a generic Lévy process. For geometric Asian options we provide closed-form solutions in terms of the Fourier transform and we study in particular these formulas in the Lévy-stable case. For arithmetic Asian options we solve the valuation problem by recursive integration and derive a rec...

On the Valuation of Arithmetic-average Asian Options: Integral Representations

This paper has its origin in that developement in the analysis of Asian options initiated by [Y]. Yor’s valuation formula gives clear evidence that pricing Asian options is a problem of some intrinsic difficulty indeed for which no, in the strict sense, simple solution should be expected. Instead, one should, as a first step, ask for structurally clear solutions, and only then, as a second step...

Closed-Form Expansions of Discretely Monitored Asian Options in Diffusion Models

In this paper we propose a closed-form asymptotic expansion approach to pricing discretely monitored Asian options in general one-dimensional diffusion models. Our expansion is a small-time expansion because the expansion parameter is selected to be the square root of the length of monitoring interval. This expansion method is distinguished from many other pricing-oriented expansion algorithms ...

Pricing Discretely Monitored Barrier Options by a Markov Chain

We propose a Markov chain method for pricing discretely monitored barrier options in both the constant and time-varying volatility valuation frameworks. The method uses a time homogeneous Markov Chain to approximate the underlying asset price process. Our approach provides a natural framework for pricing discretely monitored barrier options because the discrete time step of the Markov chain can...

Valuation of Asian Quanto-Basket Options