Monte Carlo Methods and Models in Finance and Insurance Contributor(s): Korn, Ralf (Author), Korn, Elke (Author), Kroisandt, Gerald (Author) |
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ISBN: 1420076183 ISBN-13: 9781420076189 Publisher: CRC Press OUR PRICE: $171.00 Product Type: Hardcover - Other Formats Published: March 2010 Annotation: Monte Carlo is a universal tool that can be applied in nearly every area of financial and actuarial modeling if one fully understand simulation. This book introduces financial and actuarial models via mathematical simulation. It gives a rigorous introduction to MC simulation, including random number generation, basic methods, convergence, and variance reduction. It describes financial and actuarial models, including Black-Scholes, Levy processes, interest rate, time series, risk, and claim processes. It shows how simulation techniques can be applied to these models to solve problems in finance, including option pricing, derivatives pricing, risk and asset liability management. |
Additional Information |
BISAC Categories: - Business & Economics | Business Mathematics - Mathematics | Probability & Statistics - General - Business & Economics | Finance - General |
Dewey: 518.282 |
LCCN: 2009045581 |
Series: Chapman & Hall/CRC Financial Mathematics |
Physical Information: 1.2" H x 6.3" W x 9.3" (1.75 lbs) 484 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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 process basics, and the theoretical background and intuition behind financial and actuarial mathematics, before bringing the topics together to apply the Monte Carlo methods to areas of finance and insurance. This allows for the easy identification of standard Monte Carlo tools and for a detailed focus on the main principles of financial and insurance mathematics. The book describes high-level Monte Carlo methods for standard simulation and the simulation of stochastic processes with continuous and discontinuous paths. It also covers a wide selection of popular models in finance and insurance, from Black-Scholes to stochastic volatility to interest rate to dynamic mortality. Through its many numerical and graphical illustrations and simple, insightful examples, this book provides a deep understanding of the scope of Monte Carlo methods and their use in various financial situations. The intuitive presentation encourages readers to implement and further develop the simulation methods. |