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Introduction to Mathematical Finance (Hardcover)
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Introduction to Mathematical Finance (Hardcover)
Series: Proceedings of Symposia in Applied Mathematics
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The foundation for the subject of mathematical finance was laid
nearly 100 years ago by Bachelier in his fundamental work,
""Theorie de la speculation"". In this work, he provided the first
treatment of Brownian motion. Since then, the research of
Markowitz, and then of Black, Merton, Scholes, and Samuelson
brought remarkable and important strides in the field. A few years
later, Harrison and Kreps demonstrated the fundamental role of
martingales and stochastic analysis in constructing and
understanding models for financial markets. The connection opened
the door for a flood of mathematical developments and growth.
Concurrently with these mathematical advances, markets have grown,
and developments in both academia and industry continue to
expand.This lively activity inspired an AMS Short Course at the
Joint Mathematics Meetings in San Diego (CA). The present volume
includes the written results of that course. Articles are featured
by an impressive list of recognized researchers and practitioners.
Their contributions present deep results, pose challenging
questions, and suggest directions for future research. This
collection offers compelling introductory articles on this new,
exciting, and rapidly growing field.
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