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From Stochastic Calculus to Mathematical Finance

Yuri Kabanov, Robert Liptser and Jordan Stoyanov
Additional contact information
Yuri Kabanov: Université de Franche-Comté
Robert Liptser: Tel Aviv University, Department of Electrical Engineering-Systems
Jordan Stoyanov: University of Newcastle, School of Mathematics & Statistics

in Springer Books from Springer

Date: 2006
ISBN: 978-3-540-30788-4
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Chapters in this book:

On Numerical Approximation of Stochastic Burgers' Equation
Aureli Alabert and István Gyongy
Optimal Time to Invest under Tax Exemptions
Vadim I. Arkin and Alexander D. Slastnikov
A Central Limit Theorem for Realised Power and Bipower Variations of Continuous Semimartingales
Ole E. Barndorff–Nielsen, Svend Erik Graversen, Jean Jacod, Mark Podolskij and Neil Shephard
Interplay between Distributional and Temporal Dependence. An Empirical Study with High-frequency Asset Returns
Nick H. Bingham and Rafael Schmidt
Asymptotic Methods for Stability Analysis of Markov Dynamical Systems with Fast Variables
Jevgenijs Carkovs and Jordan Stoyanov
Some Particular Problems of Martingale Theory
Alexander Cherny
On the Absolute Continuity and Singularity of Measures on Filtered Spaces: Separating Times
Alexander Cherny and Mikhail Urusov
Optimal Hedging with Basis Risk
Mark H. A. Davis
Moderate Deviation Principle for Ergodic Markov Chain. Lipschitz Summands
Bernard Delyon, Anatoly Juditsky and Robert Liptser
Remarks on Risk Neutral and Risk Sensitive Portfolio Optimization
Giovanni B. Di Masi and Lukasz Stettner
On Existence and Uniqueness of Reflected Solutions of Stochastic Equations Driven by Symmetric Stable Processes
Hans-Jürgen Engelbert, Vladimir P. Kurenok and Adrian Zalinescu
A Note on Pricing, Duality and Symmetry for Two-Dimensional Lévy Markets
José Fajardo and Ernesto Mordecki
Enlargement of Filtration and Additional Information in Pricing Models: Bayesian Approach
Dario Gasbarra, Esko Valkeila and Lioudmila Vostrikova
A Minimax Result for f-Divergences
Alexander A. Gushchin and Denis A. Zhdanov
Impulse and Absolutely Continuous Ergodic Control of One-Dimensional Itô Diffusions
Andrew Jack and Mihail Zervos
A Consumption–Investment Problem with Production Possibilities
Yuri Kabanov and Masaaki Kijima
Multiparameter Generalizations of the Dalang–Morton– Willinger Theorem
Yuri Kabanov, Yuliya Mishura and Ludmila Sakhno
A Didactic Note on Affine Stochastic Volatility Models
Jan Kallsen
Uniform Optimal Transmission of Gaussian Messages
Pavel K. Katyshev
A Note on the Brownian Motion
Kiyoshi Kawazu
Continuous Time Volatility Modelling: COGARCH versus Ornstein–Uhlenbeck Models
Claudia Klüppelberg, Alexander Lindner and Ross Maller
Tail Distributions of Supremum and Quadratic Variation of Local Martingales
Robert Liptser and Alexander Novikov
Stochastic Differential Equations: A Wiener Chaos Approach
Sergey Lototsky and Boris Rozovskii
A Martingale Equation of Exponential Type
Michael Mania and Revaz Tevzadze
On Local Martingale and its Supremum: Harmonic Functions and beyond
Jan Oblój and Marc Yor
On the Fundamental Solution of the Kolmogorov–Shiryaev Equation
Goran Peskir
Explicit Solution to an Irreversible Investment Model with a Stochastic Production Capacity
Huyên Pham
Gittins Type Index Theorem for Randomly Evolving Graphs
Ernst Presman and Isaac Sonin
On the Existence of Optimal Portfolios for the Utility Maximization Problem in Discrete Time Financial Market Models
Miklós Résonyi and Lukasz Stettner
The Optimal Stopping of a Markov Chain and Recursive Solution of Poisson and Bellman Equations
Isaac M. Sonin
On Lower Bounds for Mixing Coefficients of Markov Diffusions
A.Yu. Veretennikov

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DOI: 10.1007/978-3-540-30788-4

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