The Black-Scholes-Merton model as an idealization of discrete-time economies:

This book examines whether continuous-time models in frictionless financial economies can be well approximated by discrete-time models. It specifically looks to answer the question: in what sense and to what extent does the famous Black-Scholes-Merton (BSM) continuous-time model of financial markets...

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Bibliographic Details
Main Author: Kreps, David M.
Format: eBook
Language:English
Published: Cambridge Cambridge University Press 2019
Series:Econometric Society monographs series
Links:https://doi.org/10.1017/9781108626903
Summary:This book examines whether continuous-time models in frictionless financial economies can be well approximated by discrete-time models. It specifically looks to answer the question: in what sense and to what extent does the famous Black-Scholes-Merton (BSM) continuous-time model of financial markets idealize more realistic discrete-time models of those markets? While it is well known that the BSM model is an idealization of discrete-time economies where the stock price process is driven by a binomial random walk, it is less known that the BSM model idealizes discrete-time economies whose stock price process is driven by more general random walks. Starting with the basic foundations of discrete-time and continuous-time models, David M. Kreps takes the reader through to this important insight with the goal of lowering the entry barrier for many mainstream financial economists, thus bringing less-technical readers to a better understanding of the connections between BSM and nearby discrete-economies.
Physical Description:1 Online-Ressource (xi, 203 Seiten)
ISBN:9781108626903