Random Evolutions and their Applications: New Trends (Mathematics and Its Applications, Band 504) - Softcover

Swishchuk, Anatoly

Softcover

ISBN 10: 9048154413 ISBN 13: 9789048154418

Verlag: Springer, 2010

Inhaltsangabe

The book is devoted to the new trends in random evolutions and their various applications to stochastic evolutionary sytems (SES). Such new developments as the analogue of Dynkin's formulae, boundary value problems, stochastic stability and optimal control of random evolutions, stochastic evolutionary equations driven by martingale measures are considered. The book also contains such new trends in applied probability as stochastic models of financial and insurance mathematics in an incomplete market. In the famous classical financial mathematics Black-Scholes model of a (B,S) market for securities prices, which is used for the description of the evolution of bonds and stocks prices and also for their derivatives, such as options, futures, forward contracts, etc., it is supposed that the dynamic of bonds and stocks prices are set by a linear differential and linear stochastic differential equations, respectively, with interest rate, appreciation rate and volatility such that they are predictable processes. Also, in the Arrow-Debreu economy, the securities prices which support a Radner dynamic equilibrium are a combination of an Ito process and a random point process, with the all coefficients and jumps being predictable processes.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2010
• Sprache: Englisch
• ISBN 10: 9048154413
• ISBN 13: 9789048154418
• Einband: Taschenbuch
• Anzahl der Seiten: 312
• Kontakt zum Hersteller: Dt. Universitätsverlag; buchhandel-buch@springer.com; ; Abraham-Lincoln-Str. 46; Wiesbaden; 65198; Deutschland