The Black-Scholes-Merton Model as an Idealization of Discrete-Time Economies

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'He did it again - David M. Kreps, the unparalleled master of theory and exposition, now adds detailed discrete underpinnings to the Black-Scholes-Merton model. This beautifully written monograph forms bookends with the foundational Harrison-Kreps martingale theory of financial asset pricing. Every researcher and student in this field will want a copy!' Darrell Duffie, Dean Witter Distinguished Professor of Finance, Stanford University, California 'In this monograph, David M. Kreps studies the question of how well, on economic grounds, classic models of Black, Scholes, and Merton idealize more comprehensible but less tractable discrete-time models. The book is a gold mine of mathematical tools for studying these issues.' Thomas J. Sargent, New York University and 2011 Nobel Laureate in Economics 'David M. Kreps' previous work substantially generalized and clarified the Black-Scholes-Merton (BSM) model. In this superb monograph, he turns to another basic question: to what extent is the BSM model an idealization of models with discrete but fast trading opportunities? His elegant answer is bound to stimulate a large follow-up literature.' Jose Scheinkman, Charles and Lynn Zhang Professor of Economics, Columbia University, New York 'Continuous-time finance involves conceptual and technical complexities, which are often swept under the rug when the material is taught to economists. This book cuts through the complexities while providing excellent economic intuition and insight. It helps the reader develop a deeper appreciation of the foundations of modern finance theory, and of the connections between continuous- and discrete-time models in economics more generally.' Dimitri Vayanos, Professor of Finance, London School of Economics and Political Science
 
'He did it again - David M. Kreps, the unparalleled master of theory and exposition, now adds detailed discrete underpinnings to the Black-Scholes-Merton model. This beautifully written monograph forms bookends with the foundational Harrison-Kreps martingale theory of financial asset pricing. Every researcher and student in this field will want a copy!' Darrell Duffie, Dean Witter Distinguished Professor of Finance, Stanford University, California
'In this monograph, David M. Kreps studies the question of how well, on economic grounds, classic models of Black, Scholes, and Merton idealize more comprehensible but less tractable discrete-time models. The book is a gold mine of mathematical tools for studying these issues.' Thomas J. Sargent, New York University and 2011 Nobel Laureate in Economics
'David M. Kreps' previous work substantially generalized and clarified the Black-Scholes-Merton (BSM) model. In this superb monograph, he turns to another basic question: to what extent is the BSM model an idealization of models with discrete but fast trading opportunities? His elegant answer is bound to stimulate a large follow-up literature.' Jose Scheinkman, Charles and Lynn Zhang Professor of Economics, Columbia University, New York
'Continuous-time finance involves conceptual and technical complexities, which are often swept under the rug when the material is taught to economists. This book cuts through the complexities while providing excellent economic intuition and insight. It helps the reader develop a deeper appreciation of the foundations of modern finance theory, and of the connections between continuous- and discrete-time models in economics more generally.' Dimitri Vayanos, Professor of Finance, London School of Economics and Political Science