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.
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Table of Contents
1. Introduction
I. Fundamentals
2. Numerical Analysis in a Nutshell
3. Linear Equations and Least Squares Problems
4. Finite Difference Methods
5. Binomial Trees
II. Simulation
6. Generating Random Numbers
7. Modeling Dependencies
8. A Gentle Introduction to Financial Simulation
9. Financial Simulation at Work: Some Case Studies
III. Optimization
10. Optimization Problems in Finance
11. Basic Methods
12. Heuristic Methods in a Nutshell
13.: Heuristic Methods: A Tutorial
14. Portfolio Optimization
15. Backtesting Investment Strategies
16. Econometric Models
17. Calibrating Option Pricing Models