The focus of the book is the construction of optimal investment strategies in a security market model where the prices follow diffusion processes. It begins by presenting the complete Black-Scholes type model and then moves on to incomplete models and models including constraints and transaction costs. The models and methods presented will include the stochastic control method of Merton, the martingale method of Cox-Huang and Karatzas et al., the log optimal method of Cover and Jamshidian, the value-preserving model of Hellwig etc.
Stress is laid on rigorous mathematical presentation and...
The focus of the book is the construction of optimal investment strategies in a security market model where the prices follow diffusion processes. It ...
Offering a unique balance between applications and calculations, Monte Carlo Methods and Models in Finance and Insurance incorporates the application background of finance and insurance with the theory and applications of Monte Carlo methods. It presents recent methods and algorithms, including the multilevel Monte Carlo method, the statistical Romberg method, and the Heath-Platen estimator, as well as recent financial and actuarial models, such as the Cheyette and dynamic mortality models.
The authors separately discuss Monte Carlo techniques, stochastic...
Offering a unique balance between applications and calculations, Monte Carlo Methods and Models in Finance and Insurance incorpora...
This book is devoted to Professor Jurgen Lehn, who passed away on September 29, 2008, at the age of 67. It contains invited papers that were presented at the Wo- shop on Recent Developments in Applied Probability and Statistics Dedicated to the Memory of Professor Jurgen Lehn, Middle East Technical University (METU), Ankara, April 23 24, 2009, which was jointly organized by the Technische Univ- sitat Darmstadt (TUD) and METU. The papers present surveys on recent devel- ments in the area of applied probability and statistics. In addition, papers from the Panel Discussion: Impact of Mathematics...
This book is devoted to Professor Jurgen Lehn, who passed away on September 29, 2008, at the age of 67. It contains invited papers that were presented...
Es werden die typischen Aufgabenstellungen der zeitstetigen Modellierung von Finanzmarkten wie Optionsbewertung (insbesondere auch die Black-Scholes-Formel und zugehorige Varianten) und Portfolio-Optimierung (Bestimmen optimaler Investmentstrategien) behandelt. Die benotigten mathematischen Werkzeuge (wie z. B. Brownsche Bewegung, Martingaltheorie, Ito-Kalkul, stochastische Steuerung) werden in selbstandigen Exkursen bereitgestellt. Das Buch eignet sich als Grundlage einer Vorlesung, die sich an einen Grundkurs in Stochastik anschliesst. Es richtet sich an Mathematiker, Finanz- und...
Es werden die typischen Aufgabenstellungen der zeitstetigen Modellierung von Finanzmarkten wie Optionsbewertung (insbesondere auch die Black-Scholes-F...
Das Lehrbuch gibt eine Einfuhrung in typische Aufgabenstellungen der modernen Finanzmathematik. Dabei werden im einfachen zeitdiskreten Rahmen die wichtigsten finanzmathematischen Prinzipien (Arbitrage, Duplikation, Diversifikation) und Resultate (Fundamentalsatze der Optionsbewertung) vorgestellt, ohne dass bereits die Methoden der zeitstetigen Marktmodelle benotigt werden.
Aufbauend auf der zeitstetigen Modellierung von Finanzmarkten werden dann die Probleme der Optionsbewertung (insbesondere die Black-Scholes-Formel) und der Portfolio-Optimierung (Optimale Investmentstrategien)...
Das Lehrbuch gibt eine Einfuhrung in typische Aufgabenstellungen der modernen Finanzmathematik. Dabei werden im einfachen zeitdiskreten Rahmen die ...
Offering a unique balance between applications and calculations, this book incorporates the application background of finance and insurance with the theory and applications of Monte Carlo methods. It presents recent methods and algorithms, including the multilevel Monte Carlo method, the statistical Romberg method, and the Heath–Platen estimator
Offering a unique balance between applications and calculations, this book incorporates the application background of finance and insurance with the t...
