This book describes computational finance tools. It covers fundamental numerical analysis and computational techniques, such as option pricing, and gives special attention to simulation and optimization. Many chapters are organized as case studies around portfolio insurance and risk estimation probl
Numerical Methods and Optimization in Finance
✍ Scribed by Manfred Gilli, Dietmar Maringer, Enrico Schumann
- Publisher
- Academic Prezz
- Year
- 2019
- Tongue
- English
- Leaves
- 640
- Edition
- 2
- Category
- Library
No coin nor oath required. For personal study only.
✦ Synopsis
Computationally-intensive tools play an increasingly important role in financial decisions. Many financial problemsranging from asset allocation to risk management and from option pricing to model calibrationcan be efficiently handled using modern computational techniques. Numerical Methods and Optimization in Finance presents such computational techniques, with an emphasis on simulation and optimization, particularly so-called heuristics. This book treats quantitative analysis as an essentially computational discipline in which applications are put into software form and tested empirically.
This revised edition includes two new chapters, a self-contained tutorial on implementing and using heuristics, and an explanation of software used for testing portfolio-selection models. Postgraduate students, researchers in programs on quantitative and computational finance, and practitioners in banks and other financial companies can benefit from this second edition of Numerical Methods and Optimization in Finance.
- Introduces numerical methods to readers with economics backgrounds
- Emphasizes core simulation and optimization problems
- Includes MATLAB and R code for all applications, with sample code in the text and freely available for download
✦ Table of Contents
Contents
List of figures
List of tables
List of algorithms
Acknowledgments
Foreword to the second edition
Part I: Fundamentals
1. Introduction
2. Numerical analysis in anutshell
3. Linear equations and Least Squares problems
4. Finite difference methods
5. Binomial trees
Part II: Simulation
6. Generating random numbers
7. Modeling dependencies
8. A gentle introduction to financial simulation
9. Financial simulation at work: some case studies
Part III: Optimization
10. Optimization problems in finance
11. Basic methods
12. Heuristic methods in a nutshell
13. Heuristics: a tutorial
14. Portfolio optimization
15. Backtesting
16. Econometric models
17. Calibrating option pricing models
Appendix A. The NMOF package
Bibliography
Index
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