Pricing of basket options II
  We consider the problem of approximation of density functions which is important in the theory of pricing of basket options. Our method is well adopted to the multidimensional case. Observe that implementations of polynomial and spline approximation in this situation are connected with difficulties of fundamental nature. A simple approximation formula for European call options is presented. It is shown that this approximation formula has exponential rate of convergence. 
Alexander Kushpel
math.ST stat.AP stat.TH