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Mathematical Finance - Workshop of the Mathematical Finance Research Project, Konstanz, Germany, October 5-7, 2000 (Hardcover, 2001 ed.)
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Mathematical Finance - Workshop of the Mathematical Finance Research Project, Konstanz, Germany, October 5-7, 2000 (Hardcover, 2001 ed.)
Series: Trends in Mathematics
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The year 2000 is the centenary year of the publication of
Bachelier's thesis which - together with Harry Markovitz Ph.D.
dissertation on portfolio selection in 1952 and Fischer Black's and
Myron Scholes' solution of an option pricing problem in 1973 - is
considered as the starting point of modern finance as a
mathematical discipline. On this remarkable anniversary the
workshop on mathematical finance held at the University of Konstanz
brought together practitioners, economists and mathematicians to
discuss the state of the art. Apart from contributions to the known
discrete, Brownian, and LA(c)vy process models, first attempts to
describe a market in a reasonable way by a fractional Brownian
motion model are presented, opening many new aspects for
practitioners and new problems for mathematicians. As most
dynamical financial problems are stochastic filtering or control
problems many talks presented adaptations of control methods and
techniques to the classical financial problems in a [ portfolio
selection a [ irreversible investment a [ risk sensitive asset
allocation a [ capital asset pricing a [ hedging contingent claims
a [ option pricing a [ interest rate theory. The contributions of
practitioners link the theoretical results to the steadily
increasing flow of real world problems from financial institutions
into mathematical laboratories. The present volume reflects this
exchange of theoretical and applied results, methods and techniques
that made the workshop a fruitful contribution to the
interdisciplinary work in mathematical finance.
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