On the error in the monte carlo pricing of some familiar european path-dependent options
Journal article, 2005

This paper studies the relative error in the crude Monte Carlo pricing of some familiar European path-dependent multiasset options. For the crude Monte Carlo method it is well known that the convergence rate O(n-1/2), where n is the number of simulations, is independent of the dimension of the integral. This paper also shows that for a large class of pricing problems in the multiasset Black-Scholes market the constant in O(n-1/2) is independent of the dimension. To be more specific, the constant is only dependent on the highest volatility among the underlying assets, time to maturity, and degree of confidence interval.


Per Hörfelt

Chalmers, Mathematical Sciences

University of Gothenburg

Mathematical Finance

0960-1627 (ISSN) 1467-9965 (eISSN)

Vol. 15 2 345-357

Subject Categories

Computational Mathematics

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