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Approximative Hedging
Yuri Kabanov and Mher Safarian
Introduction
Tomas Bjork, Mariana Khapko and Agatha Murgoci
Introduction
Gilles Zumbach
Introduction
Antonio Mele and Yoshiki Obayashi
Introduction
Mario V. Wüthrich and Michael Merz
Correction to: Continuous-Time Asset Pricing Theory
Robert Jarrow
Introduction
Fred Espen Benth and Paul Krühner
Preliminaries from Probability Theory
Eckhard Platen and David Heath
Reading the Black-Scholes Formula in Terms of First and Last Passage Times
Christophe Profeta, Bernard Roynette and Marc Yor
Introduction
David Nicolay
Volatility Processes
Archil Gulisashvili
Prerequisites
Emilio Barucci and Claudio Fontana
Option Valuation and the Volatility Smile
Jianwei Zhu
Introduction
Damir Filipović
Principal–Agent Problem
Jakša Cvitanić and Jianfeng Zhang
Continuous-Path Random Processes: Mathematical Prerequisites
Monique Jeanblanc, Marc Yor and Marc Chesney
A Primer on the Signature Method in Machine Learning
Ilya Chevyrev and Andrey Kormilitzin
The Story in a Nutshell
Freddy Delbaen and Walter Schachermayer
Notions of Mathematical Finance
Norbert Hilber, Oleg Reichmann, Christoph Schwab and Christoph Winter
Some Classes of Discrete-Time Stochastic Processes
Stéphane Crépey
Introduction
Giovanni Cesari, John Aquilina, Niels Charpillon, Zlatko Filipović, Gordon Lee and Ion Manda
Stochastic Processes
Robert Jarrow
Univariate statistics
Attilio Meucci
Introduction
You-lan Zhu, Xiaonan Wu, I-Liang Chern and Zhi-zhong Sun
Interest Rates and Related Contracts
Damir Filipović
Discrete Stochastic Calculus
Ernst Eberlein and Jan Kallsen
Single-Period Examples
Jakša Cvitanić and Jianfeng Zhang
Notation, Naming, and General Definitions
Gilles Zumbach
Models of Financial Markets on Finite Probability Spaces
Freddy Delbaen and Walter Schachermayer
State Price Deflators and Stochastic Discounting
Mario V. Wüthrich and Michael Merz
Elements of Numerical Methods for PDEs
Norbert Hilber, Oleg Reichmann, Christoph Schwab and Christoph Winter
Dynamic Programming Theory
Tomas Bjork, Mariana Khapko and Agatha Murgoci
Choices Under Risk
Emilio Barucci and Claudio Fontana
European Style Derivatives
You-lan Zhu, Xiaonan Wu, I-Liang Chern and Zhi-zhong Sun
Stylized Facts
Gilles Zumbach
Linear Models with Project Selection, and Preview of Results
Jakša Cvitanić and Jianfeng Zhang
Variance Contracts: Fixed Income Security Design
Antonio Mele and Yoshiki Obayashi
Generalized Black-Scholes Formulae for Martingales, in Terms of Last Passage Times
Christophe Profeta, Bernard Roynette and Marc Yor
Characteristic Functions in Option Pricing
Jianwei Zhu
The Fundamental Theorems
Robert Jarrow
Volatility Dynamics for a Single Underlying: Foundations
David Nicolay
The Linear Quadratic Regulator
Tomas Bjork, Mariana Khapko and Agatha Murgoci
Modelling Framework
Giovanni Cesari, John Aquilina, Niels Charpillon, Zlatko Filipović, Gordon Lee and Ion Manda
Some Classes of Continuous-Time Stochastic Processes
Stéphane Crépey
The General Risk Sharing Problem
Jakša Cvitanić and Jianfeng Zhang
Finite Element Methods for Parabolic Problems
Norbert Hilber, Oleg Reichmann, Christoph Schwab and Christoph Winter
Lévy processes on Hilbert Spaces
Fred Espen Benth and Paul Krühner
A Simple Equilibrium Model
Tomas Bjork, Mariana Khapko and Agatha Murgoci
Estimating the Term-Structure
Damir Filipović
Utility Maximisation on Finite Probability Spaces
Freddy Delbaen and Walter Schachermayer
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