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Stochastic Analysis for Finance with Simulations (Paperback, 1st ed. 2016)
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Stochastic Analysis for Finance with Simulations (Paperback, 1st ed. 2016)
Series: Universitext
Expected to ship within 9 - 15 working days
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This book is an introduction to stochastic analysis and
quantitative finance; it includes both theoretical and
computational methods. Topics covered are stochastic calculus,
option pricing, optimal portfolio investment, and interest rate
models. Also included are simulations of stochastic phenomena,
numerical solutions of the Black-Scholes-Merton equation, Monte
Carlo methods, and time series. Basic measure theory is used as a
tool to describe probabilistic phenomena. The level of familiarity
with computer programming is kept to a minimum. To make the book
accessible to a wider audience, some background mathematical facts
are included in the first part of the book and also in the
appendices. This work attempts to bridge the gap between
mathematics and finance by using diagrams, graphs and simulations
in addition to rigorous theoretical exposition. Simulations are not
only used as the computational method in quantitative finance, but
they can also facilitate an intuitive and deeper understanding of
theoretical concepts. Stochastic Analysis for Finance with
Simulations is designed for readers who want to have a deeper
understanding of the delicate theory of quantitative finance by
doing computer simulations in addition to theoretical study. It
will particularly appeal to advanced undergraduate and graduate
students in mathematics and business, but not excluding
practitioners in finance industry.
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