1.

Record Nr.

UNINA9910255044303321

Autore

in 't Hout Karel

Titolo

Numerical Partial Differential Equations in Finance Explained : An Introduction to Computational Finance / / by Karel in 't Hout

Pubbl/distr/stampa

London : , : Palgrave Macmillan UK : , : Imprint : Palgrave Macmillan, , 2017

ISBN

1-137-43569-0

Edizione

[1st ed. 2017.]

Descrizione fisica

1 online resource (XIV, 128 p. 42 illus.)

Collana

Financial Engineering Explained

Disciplina

650.01513

Soggetti

Financial engineering

Financial Engineering

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Chapter1. Financial option valuation.-Chapter2. Partial differential equations -- Chapter3 Spatial discretization I -- Chapter4. Spatial discretization II -- Chapter5. Numerical study: space -- Chapter6. The Greeks -- Chapter7. Temporal discretization -- Chapter8. Numerical study: time -- Chapter9. Cash-or-nothing options -- Chapter10. Barrier options -- Chapter11. American-style options -- Chapter12. Merton model -- Chapter13. Two-asset options.

Sommario/riassunto

This book provides a first, basic introduction into the valuation of financial options via the numerical solution of partial differential equations (PDEs). It provides readers with an easily accessible text explaining main concepts, models, methods and results that arise in this approach. In keeping with the series style, emphasis is placed on intuition as opposed to full rigor, and a relatively basic understanding of mathematics is sufficient. The book provides a wealth of examples, and ample numerical experiments are givento illustrate the theory. The main focus is on one-dimensional financial PDEs, notably the Black-Scholes equation. The book concludes with a detailed discussion of the important step towards two-dimensional PDEs in finance.