Error Estimates for Multinomial Approximations of American Options in Merton's Model
Abstract
We derive error estimates for multinomial approximations of American options in a multidimensional jump--diffusion Merton's model. We assume that the payoffs are Markovian and satisfy Lipschitz type conditions. Error estimates for such type of approximations were not obtained before. Our main tool is the strong approximations theorems for i.i.d. random vectors which were obtained [14]. For the multidimensional Black--Scholes model our results can be extended also to a general path dependent payoffs which satisfy Lipschitz type conditions. For the case of multinomial approximations of American options for the Black--Scholes model our estimates are a significant improvement of those which were obtained in [8] (for game options in a more general setup). Show more
Publication status
publishedExternal links
Journal / series
arXivPages / Article No.
Publisher
Cornell UniversityOrganisational unit
03844 - Soner, Mete (emeritus) / Soner, Mete (emeritus)
Related publications and datasets
Is previous version of: http://hdl.handle.net/20.500.11850/41751
More
Show all metadata
ETH Bibliography
yes
Altmetrics