Exact retrospective Monte Carlo computation of arithmetic average Asian options

Taking advantage of the recent litterature on exact simulation algorithms (Beskos, Papaspiliopoulos and Roberts [1]) and unbiased estimation of the expectation of certain fonctional integrals (Wagner [27], Beskos et al. [2] and Fearnhead et al. [6]), we apply an exact simulation based technique for pricing continuous arithmetic average Asian options in the Black & Scholes framework. Unlike existing Monte Carlo methods, we are no longer prone to the discretization bias resulting from the approximation of continuous time processes through discrete sampling. Numerical results of simulation studies are presented and variance reduction problems are considered.