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