Title
Convergence of the Binomial Tree Method for American Options in a Jump-Diffusion Model
Abstract
The paper studies the binomial tree method for American options in a jump-diffusion model. We employ the theory of viscosity solution to show uniform convergence of the binomial tree method for American options. We also prove existence and convergence of the optimal exercise boundary in the binomial tree approximation. In addition, the terminal value of the optimal exercise boundary is given for American options in jump-diffusion models.
Year
DOI
Venue
2005
10.1137/S0036142902409744
SIAM J. Numerical Analysis
Keywords
Field
DocType
american option,uniform convergence,optimal exercise boundary,paper study,jump-diffusion model,american options,binomial tree approximation,viscosity solution,terminal value,binomial tree method,binomial tree
Convergence (routing),Binomial options pricing model,Binomial distribution,Mathematical optimization,Jump diffusion,Binomial approximation,Uniform convergence,Viscosity solution,Trinomial tree,Mathematics
Journal
Volume
Issue
ISSN
42
5
0036-1429
Citations 
PageRank 
References 
3
0.97
0
Authors
4
Name
Order
Citations
PageRank
Xiao-song Qian130.97
Cheng-long Xu2507.97
Lishang Jiang3297.79
Bao-jun Bian4143.44