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Computational Financial Mathematics Using MathematicaBy Srdjan Stojanovic
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This second edition presents an applied approach to financial mathematics and provides an overview of existing and original material. Sophisticated theories are presented systematically in a user-friendly style which promotes a powerful combination of mathematical rigor and Mathematica programming. Three kinds of solution methods are emphasized: symbolic, numerical, and Monte--Carlo.This new comprehensive study guide presents several additional financial problems that can be directly applied in the field, i.e., Integral-PDE Dupire equations, inverse problems, 3-D numerical pricing equations, obstacle problems, optimal portfolio problem for momentum markets.The book is intended for instructors and graduate students interested in financial mathematics as well as mathematically inclined investors and traders who rely on cash, stocks, and stock options on a regular basis.
- Published on: 2012-02-27
- Original language: English
- Binding: Hardcover
- 300 pages
Review
"Stojanovic offers an excellent, user-friendly presentation of advanced mathematical techniques and Mathematica programming for solving problems in finance and trading. He demonstrates the value of probability, mathematical statistics, calculus of variations, and optimal control of stochastic, ordinary and partial differential equations to the study of market analysis. Solutions are computed symbolically, numerically, or by means of Monte-Carlo simulations.... A very useful and valuable book for researchers, students, professionals, and individual investors." Choice"It is an innovative approach and is very useful for students and practitioners in finance to learn how to use mathematics for investment analysis." Mathematical Reviews"This book is a state-of-the-art introduction to the mathematics of computational finance. The author reviews and extends several recent breakthroughs and also provides new material, which is highly recommended. The novel use of Mathematica enhances the learn
From the Back Cover
This second edition presents an applied approach to financial mathematics and provides an overview of existing and original material. Sophisticated theories are presented systematically in a user-friendly style which promotes a powerful combination of mathematical rigor and Mathematica programming. Three kinds of solution methods are emphasized: symbolic, numerical, and Monte--Carlo.This new comprehensive study guide presents several additional financial problems that can be directly applied in the field, i.e., Integral-PDE Dupire equations, inverse problems, 3-D numerical pricing equations, obstacle problems, optimal portfolio problem for momentum markets.Second Edition Key features: * Presents new material and updates for Mathematica 6.0;* Does not require any previous knowledge of Mathematica 6.0 programming;* Utilizes the symbolic, numeric, data management and graphic capabilities of Mathematica 6.0;* Develops Monte--Carlo solutions of scalar and multivariable SDEs;* Solves Black--Scholes and Dupire PDEs symbolically as well as numerically;* Provides fast numerical solutions to free boundary problems with details of their Mathematica 6.0 realizations.The book is intended for instructors and graduate students interested in financial mathematics as well as mathematically inclined investors and traders who rely on cash, stocks, and stock options on a regular basis.
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