Overview
- Students will learn by doing; implementing concepts of each chapter into code and experimenting with the outcome
- Exploits the greatest virtue of the Monte Carlo method – providing results for exotic probability models
- Students will learn a lot about options in addition to usage of mathematical models
- Focus on Monte Carlo methods allows for students to travel a short road from theory to practical applications
- Presents "standard" models involving Random Walks with GBM but includes other distributions as well
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Undergraduate Texts in Mathematics and Technology (SUMAT)
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About this book
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 Lévy 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
Also by the author: (with F. Mendivil) Explorations in Monte Carlo, ©2009, ISBN: 978-0-387-87836-2; (with J. Herod) Mathematical Biology: An Introduction with Maple and Matlab, Second edition, ©2009, ISBN: 978-0-387-70983-3.
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Keywords
- Geometric Brownian Motion (GBM)
- Kelly's criterion
- Monte Carlo method
- Monte Carlo method in finance
- alternative GBM prices
- introductory finance text
- mathematical finance text
- pricing exotic options
- probability in finance
- quantitative finance text
- shell sort
- stochastic calculus
- stochastic methods in finance
- quantitative finance
Table of contents (7 chapters)
Authors and Affiliations
About the author
Ronald W. Shonkwiler is a Professor Emeritus in the School of Mathematics at the Georgia Institute of Technology. He received his Masters in Mathematics in 1967, and then his PH.D. in Mathematics in 1970 from the University of Colorado, Boulder. His research includes optimization by Monte Carlo methods, computer geometry, fractal geometry, mathematical epidemiology, neural networks, and mathematical finance. Ronald W. Shonkwiler previously published two books with Springer in the UTM series. "Explorations in Monte Carlo Methods" 2009, ISBN: 978-0-387-87836-2 and "Mathematical Biology, 2nd ed" 2009, ISBN: 978-0-387-70983-3.
Bibliographic Information
Book Title: Finance with Monte Carlo
Authors: Ronald W. Shonkwiler
Series Title: Springer Undergraduate Texts in Mathematics and Technology
DOI: https://doi.org/10.1007/978-1-4614-8511-7
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media New York 2013
Hardcover ISBN: 978-1-4614-8510-0Published: 18 September 2013
Softcover ISBN: 978-1-4939-4334-0Published: 11 August 2016
eBook ISBN: 978-1-4614-8511-7Published: 17 September 2013
Series ISSN: 1867-5506
Series E-ISSN: 1867-5514
Edition Number: 1
Number of Pages: XIX, 250
Number of Illustrations: 53 b/w illustrations, 17 illustrations in colour
Topics: Quantitative Finance, Mathematical Modeling and Industrial Mathematics, Probability Theory and Stochastic Processes, Numerical Analysis