Numerical methods and optimization in finance
著者
書誌事項
Numerical methods and optimization in finance
Elsevier/Academic Press, c2011
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注記
Includes bibliographical references (p. 563-576) and index
内容説明・目次
内容説明
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 problems. In particular, several chapters explain optimization heuristics and how to use them for portfolio selection and in calibration of estimation and option pricing models. Such practical examples allow readers to learn the steps for solving specific problems and apply these steps to others. At the same time, the applications are relevant enough to make the book a useful reference. Matlab and R sample code is provided in the text and can be downloaded from the book's website.
目次
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. Modelling 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. Portfolio Optimization
14. Econometric Models
15. Calibrating Option Pricing Models
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