| Description |
1 online resource (xxvi, 798 pages) : illustrations |
| Series |
Chapman & Hall/CRC financial mathematics series |
|
Chapman & Hall/CRC financial mathematics series.
|
| Contents |
I. Introduction to pricing and management of financial securites: Mathematics of Compounding -- Primer on Pricing Risky Securities -- Portfolio Management -- Primer on Derivative Securities -- II. Discrete-time modeling: Single-Period Arrow-Debreu Models -- Introduction to Discrete-Time Stochastic Calculus -- Replication and Pricing in the Binomial Tree Model -- General Multi-Asset Multi-Period Model -- III. Continuous-time modeling: Essentials of General Probability Theory -- One-Dimensional Brownian Motion and Related Processes -- Introduction to Continuous-Time Stochastic Calculus -- Risk-Neutral Pricing in the (B, S) Economy: One Underlying Stock -- Risk-Neutral Pricing in a Multi-Asset Economy -- American Options -- Interest-Rate Modelling and Derivative Pricing -- Alternative Models of Asset Price Dynamics -- IV. Computational Techniques -- Introduction to Monte Carlo and Simulation Methods -- Numerical Applications to Derivative Pricing |
| Summary |
Versatile for Several Interrelated Courses at the Undergraduate and Graduate Levels. Financial Mathematics: A Comprehensive Treatment provides a unified, self-contained account of the main theory and application of methods behind modern-day financial mathematics. Tested and refined through years of the authors' teaching experiences, the book encompasses a breadth of topics, from introductory to more advanced ones. Accessible to undergraduate students in mathematics, finance, actuarial science, economics, and related quantitative areas, much of the text covers essential material for core curriculum courses on financial mathematics. Some of the more advanced topics, such as formal derivative pricing theory, stochastic calculus, Monte Carlo simulation, and numerical methods, can be used in courses at the graduate level. Researchers and practitioners in quantitative finance will also benefit from the combination of analytical and numerical methods for solving various derivative pricing problems. With an abundance of examples, problems, and fully worked out solutions, the text introduces the financial theory and relevant mathematical methods in a mathematically rigorous yet engaging way. Unlike similar texts in the field, this one presents multiple problem-solving approaches, linking related comprehensive techniques for pricing different types of financial derivatives. The book provides complete coverage of both discrete- and continuous-time financial models that form the cornerstones of financial derivative pricing theory. It also presents a self-contained introduction to stochastic calculus and martingale theory, which are key fundamental elements in quantitative finance |
| Bibliography |
Includes bibliographical references (pages 795-798) |
| Notes |
Online resource; title from title page (Safari, viewed May 6, 2014) |
| Subject |
Business mathematics.
|
|
Business mathematics
|
| Form |
Electronic book
|
| Author |
Makarov, Roman N
|
| ISBN |
1439892423 |
|
9781439892428 |
|
9781439892435 |
|
1439892431 |
|
