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On the rate of convergence of the binomial tree scheme for American options

✍ Scribed by Jin Liang; Bei Hu; Lishang Jiang; Baojun Bian


Publisher
Springer-Verlag
Year
2007
Tongue
English
Weight
273 KB
Volume
107
Category
Article
ISSN
0029-599X

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πŸ“œ SIMILAR VOLUMES


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An optimal convergence rate O(βˆ†x) for an explicit finite difference scheme for a variational inequality problem is obtained under the stability condition Οƒ 2 βˆ†t βˆ†x 2 1 using completely PDE methods. As a corollary, a binomial tree scheme of an American put option (where Οƒ 2 βˆ†t βˆ†x 2 = 1) is convergent

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## Abstract This study investigates the convergence patterns and the rates of convergence of binomial Greeks for the CRR model and several smooth price convergence models in the literature, including the binomial Black–Scholes (BBS) model of Broadie M and Detemple J (1996), the flexible binomial mo