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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.
This book is the first volume of three containing papers presented at the Seventh World Congress of the Econometric Society. The papers summarize and interpret key recent developments and discuss current and future directions in a wide range of topics in economics and econometrics. They cover both theory and applications. Authored by leading specialists in their fields, these volumes provide a unique survey of progress in the discipline.
This 1997 book is the second volume of three comprising papers which examine the latest developments in economic theory, applied economics and econometrics presented at the Seventh World Congress of the Econometric Society in Tokyo in August 1995. The topics were carefully selected to represent the most active fields in the discipline over the past five years. Written by the leading authorities in their fields, each paper provides a unique survey of the current state of knowledge in economics. Designed to make the material accessible to a general audience of economists, these volumes should be helpful to anyone with a good undergraduate training in economics who wishes to follow new ideas and tendencies in the subject.