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Finance with Monte Carlo (Paperback, Softcover reprint of the original 1st ed. 2013)
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Finance with Monte Carlo (Paperback, Softcover reprint of the original 1st ed. 2013)
Series: Springer Undergraduate Texts in Mathematics and Technology
Expected to ship within 10 - 15 working days
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This text introduces upper division undergraduate/beginning
graduate students in mathematics, finance, or economics, to the
core topics of a beginning course in finance/financial engineering.
Particular emphasis is placed on exploiting the power of the Monte
Carlo method to illustrate and explore financial principles. Monte
Carlo is the uniquely appropriate tool for modeling the random
factors that drive financial markets and simulating their
implications. The Monte Carlo method is introduced early and it is
used in conjunction with the geometric Brownian motion model (GBM)
to illustrate and analyze the topics covered in the remainder of
the text. Placing focus on Monte Carlo methods allows for students
to travel a short road from theory to practical applications.
Coverage includes investment science, mean-variance portfolio
theory, option pricing principles, exotic options, option trading
strategies, jump diffusion and exponential Levy alternative models,
and the Kelly criterion for maximizing investment growth. Novel
features: inclusion of both portfolio theory and contingent claim
analysis in a single text pricing methodology for exotic options
expectation analysis of option trading strategies pricing models
that transcend the Black-Scholes framework optimizing investment
allocations concepts thoroughly explored through numerous
simulation exercises numerous worked examples and illustrations The
mathematical background required is a year and one-half course in
calculus, matrix algebra covering solutions of linear systems, and
a knowledge of probability including expectation, densities and the
normal distribution. A refresher for these topics is presented in
the Appendices. The programming background needed is how to code
branching, loops and subroutines in some mathematical or general
purpose language. The mathematical background required is a year
and one-half course in calculus, matrix algebra covering solutions
of linear systems, and a knowledge of probability including
expectation, densities and the normal distribution. A refresher for
these topics is presented in the Appendices. The programming
background needed is how to code branching, loops and subroutines
in some mathematical or general purpose language. Also by the
author: (with F. Mendivil) Explorations in Monte Carlo, (c)2009,
ISBN: 978-0-387-87836-2; (with J. Herod) Mathematical Biology: An
Introduction with Maple and Matlab, Second edition, (c)2009, ISBN:
978-0-387-70983-3.
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