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Convergence rate of regime-switching trees
Leduc, Guillaume ; Zeng, Xiangchen
Leduc, Guillaume
Zeng, Xiangchen
Date
2016
Authors
Advisor
Type
Peer-Reviewed
Article
Published version
Article
Published version
Degree
Description
Abstract
Considering a general class of regime-switching geometric random walks and a broad class of piecewise twice differentiable payoff functions, we show that convergence of option prices occurs at a speed of order 𝒪 (𝑛-ᵝ), where β = 1∕2 when the payoff is discontinuous and β = 1 otherwise.