Accurate approximations for Asian options
SODA '00 Proceedings of the eleventh annual ACM-SIAM symposium on Discrete algorithms
Mathematics and Computers in Simulation
Monte Carlo Statistical Methods (Springer Texts in Statistics)
Monte Carlo Statistical Methods (Springer Texts in Statistics)
A Fast, Accurate and Simple Method for Pricing European-Asian and Saving-Asian Options
ESA '02 Proceedings of the 10th Annual European Symposium on Algorithms
AAIM'05 Proceedings of the First international conference on Algorithmic Applications in Management
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This paper develops three polynomial-time techniques for pricing European Asian options with provably small errors, where the stock prices follow binomial trees or trees of higher-degree. The first technique is the first known Monte Carlo algorithm with analytical error bounds suitable for pricing single-stock options with meaningful confidence and speed. The second technique is a general recursive bucketing-based scheme that enables robust trade-offs between accuracy and run-time. The third technique combines the Fast Fourier Transform with bucketing-based schemes for pricing basket options. This technique is extremely fast, polynomial in the number of days and stocks, and does not add any errors to those already incurred in the companion bucketing scheme.