We prove existence, regularity and a Feynman–Kač representation formula of the strong solution to the free boundary problem arising in the financial problem of the pricing of the American Asian option with arithmetic average. To cite this article: L. Monti, A. Pascucci, C. R. Acad. Sci. Paris, Ser. I 347 (2009). © 2009 Académie des sciences. Published by Elsevier Masson SAS. All rights reserved...

An Asian option is a path-depending exotic option, which means that either the settlement price or the strike of the option is formed by some aggregation of underlying asset prices during the option lifetime. This thesis will focus on European style Arithmetic Asian options where the settlement price at maturity is formed by the arithmetic average price of the last seven days of the underlying ...

We derive efficient and accurate analytical pricing bounds and approximations for discrete arithmetic Asian options under time-changed Lévy processes. We extend the conditioning variable approach to derive the lower bound on the Asian option price and construct a sharp upper bound based on the lower bound. We also consider the general partially exact and bounded (PEB) approximations, which incl...

Večeř derived a degenerate parabolic equation with a boundary condition characterizing the price of Asian options for both discrete and continuous arithmetic average. It is well understood that there exists a unique probabilistic solution to such a problem. However, due to degeneracy of the partial differential operator and lack of smoothness in the boundary data, the regularity of the probabil...

In this paper we study the pricing and hedging of arithmetic Asian basket spread options of the European type and present the main results of Deelstra et al. (2008). Asian basket spread options are written on a multivariate underlying. Thus we fi rst need to specify a fi nancial market model containing multiple stocks. We choose to use the famous Black and Scholes model. by: Griselda Deelstra, ...

Abstract. In this article we study arithmetic Asian options when the underlying stock is driven by special semimartingale processes. We show that the inherently path dependent problem of pricing Asian options can be transformed into a problem without path dependency in the payoff function. We also show that the price satisfies a simpler integro-differential equation in the case the stock price ...