Author	Zhu, You-lan. author
Title	Derivative Securities and Difference Methods [electronic resource] / by You-lan Zhu, Xiaonan Wu, I-Liang Chern
Imprint	New York, NY : Springer New York : Imprint: Springer, 2004
Connect to	http://dx.doi.org/10.1007/978-1-4757-3938-1
Descript	XVIII, 513 p. 14 illus. online resource

This book is devoted to determining the prices of financial derivatives using a partial differential equation approach. In the first part the authors describe the formulation of the problems (including related free-boundary problems) and derive the closed form solutions if they have been found. The second part discusses how to obtain their numerical solutions efficiently for both European-style and American-style derivatives and for both stock options and interest rate derivatives. The numerical methods discussed are finite-difference methods. The book also discusses how to determine the coefficients in the partial differential equations. The aim of the book is to provide readers who have some code writing experience for engineering computations with the skills to develop efficient derivative-pricing codes. The book includes exercises throughout and will appeal to students and researchers in quantitative finance as well as practitioners in the financial industry and code developers

1 Introduction -- 2 Basic Options -- 3 Exotic Options -- 4 Interest Rate Derivative Securities -- 5 Basic Numerical Methods -- 6 Initial-Boundary Value and LC Problems -- 7 Free-Boundary Problems -- 8 Interest Rate Modeling -- References

1. Mathematics
2. Applied mathematics
3. Engineering mathematics
4. Economics
5. Mathematical
6. Computer mathematics
7. Numerical analysis
8. Mathematics
9. Quantitative Finance
10. Applications of Mathematics
11. Computational Mathematics and Numerical Analysis
12. Numerical Analysis