Title
Fuzzy pricing of American options on stocks with known dividends and its algorithm
Abstract
The path-dependent property of American options leads to the complexity of its pricing. Based on the analysis of American options' characteristics and the influence of the stock dividend, the American call option fuzzy pricing method is discussed in this paper. Under the assumption that the price of stock, discount rate, the volatility, and interest rate are all fuzzy numbers, the fuzzy pricing formula of American option is proposed by using the Black–Scholes pricing model. Then the interpolation search algorithm is designed to solve the proposed pricing model. Finally, the validity and accuracy of this model and its algorithm have to be tested with some numerical examples. © 2010 Wiley Periodicals, Inc. © 2011 Wiley Periodicals, Inc.
Year
DOI
Venue
2011
10.1002/int.20460
Int. J. Intell. Syst.
Keywords
Field
DocType
fuzzy pricing method,american option,fuzzy number,wiley periodicals,american call option,known dividend,interest rate,proposed pricing model,discount rate,fuzzy pricing formula,scholes pricing model
Binomial options pricing model,Monte Carlo methods for option pricing,Computer science,Rational pricing,Finite difference methods for option pricing,Algorithm,Black–Scholes model,Fuzzy number,Call option,Trinomial tree
Journal
Volume
Issue
ISSN
26
2
0884-8173
Citations 
PageRank 
References 
1
0.36
9
Authors
3
Name
Order
Citations
PageRank
Wei-Guo Zhang155739.22
Qing-Sheng Shi210.36
Weilin Xiao3685.19