Risk-Neutral Valuation

Produktbeschreibung

Since its introduction in the early 80's, the risk-neutral valuation principle has proved to be an important tool in the pricing and hedging of financial derivatives. This book provides a comprehensive and self-contained treatment of the probabilistic theory behind the risk-neutral valuation principle and its applications. On the probabilistic side, both discrete- and continuous-time stochastic processes are treated, with special emphasis on martingale theory, stochastic integration and change-of-measure techniques. Based on firm probabilistic foundations, general properties of discrete-and continuous-time financial market models are discussed. 

Inhaltsverzeichnis

1. Derivative Background.- 2. Probability Background.- 3. Stochastic Processes in Discrete Time.- 4. Mathematical Finance in Discrete Time.- 5. Stochastic Processes in Continuous Time.- 6. Mathematical Finance in Continuous Time.- 7. Incomplete Markets.- 8. Interest Rate Theory.- 9. Credit Risk.- A. Hilbert Space.- B. Projections and Conditional Expectations.- C. The Separating Hyperplane Theorem. 

Kritik

Authors of financial engineering texts face a quandary: how technical to make a book? It is easy to alienate readers by being too technical, but it is just as easy to write a fluff book that communicates nothing of substance. With this book, authors Bingham and Kiesel have got the balance just right... It is mathematically rigorous but with a practical, reader-oriented focus. Results are expressed formally as mathematical theorems, but the authors skip most proofs. The narrative moves along at a nice clip so you never get bogged down in minutia... Who is the book for? Almost anyone who has a strong background in maths and wants a command of financial engineering theory. (...)