Problems and Solutions in Mathematical Finance: Volume I - Stochastic Calculus, Chin Eric, Olafsson Sverrir, Nel Dian
Автор: Shreve, Steven E. Название: Stochastic Calculus for Finance II ISBN: 0387401016 ISBN-13(EAN): 9780387401010 Издательство: Springer Рейтинг: Цена: 9182 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: "A wonderful display of the use of mathematical probability to derive a large set of results from a small set of assumptions.
Автор: Shreve Название: Stochastic Calculus for Finance I ISBN: 0387401008 ISBN-13(EAN): 9780387401003 Издательство: Springer Рейтинг: Цена: 9182 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Developed for the professional Master`s program in Computational Finance at Carnegie Mellon, the leading financial engineering program in the U.S. Has been tested in the classroom and revised over a period of several yearsExercises conclude every chapter;
Описание: Detailed guidance on the mathematics behind equity derivatives Problems and Solutions in Mathematical Finance Volume II is an innovative reference for quantitative practitioners and students, providing guidance through a range of mathematical problems encountered in the finance industry.
Автор: Lamberton, Damien Название: Introduction to stochastic calculus applied to finance ISBN: 1584886269 ISBN-13(EAN): 9781584886266 Издательство: Taylor&Francis Рейтинг: Цена: 13369 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Maintaining the lucid style of its popular predecessor, this concise and accessible introduction covers the probabilistic techniques required to understand the most widely used financial models. Along with additional exercises, this edition presents fully updated material on stochastic volatility models and option pricing.
Автор: Malliavin Название: Stochastic Calculus of Variations in Mathematical Finance ISBN: 3540434313 ISBN-13(EAN): 9783540434313 Издательство: Springer Рейтинг: Цена: 13774 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Malliavin calculus provides an infinite-dimensional differential calculus in the context of continuous paths stochastic processes. The calculus includes formulae of integration by parts and Sobolev spaces of differentiable functions defined on a probability space. This new book, demonstrating the relevance of Malliavin calculus for Mathematical Finance, starts with an exposition from scratch of this theory. Greeks (price sensitivities) are reinterpreted in terms of Malliavin calculus. Integration by parts formulae provide stable Monte Carlo schemes for numerical valuation of digital options. Finite-dimensional projections of infinite-dimensional Sobolev spaces lead to Monte Carlo computations of conditional expectations useful for computing American options. The discretization error of the Euler scheme for a stochastic differential equation is expressed as a generalized Watanabe distribution on the Wiener space. Insider information is expressed as an infinite-dimensional drift. The last chapter gives an introduction to the same objects in the context of jump processes where incomplete markets appear.
Описание: Provides an introduction to probability theory and its applications.
Автор: Karatzas Название: Brownian Motion and Stochastic Calculus ISBN: 0387976558 ISBN-13(EAN): 9780387976556 Издательство: Springer Рейтинг: Цена: 7646 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is designed as a text for graduate courses in stochastic processes. It is written for readers familiar with measure-theoretic probability and discrete-time processes who wish to explore stochastic processes in continuous time. The vehicle chosen for this exposition is Brownian motion, which is presented as the canonical example of both a martingale and a Markov process with continuous paths. In this context, the theory of stochastic integration and stochastic calculus is developed. The power of this calculus is illustrated by results concerning representations of martingales and change of measure on Wiener space, and these in turn permit a presentation of recent advances in financial economics (option pricing and consumption/investment optimization). This book contains a detailed discussion of weak and strong solutions of stochastic differential equations and a study of local time for semimartingales, with special emphasis on the theory of Brownian local time. The text is complemented by a large number of problems and exercises.
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