Lectures on the Theory and Application of Modern Finance with R and ChatGPT (1版)

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【簡介】 These lecture notes are thought for Master courses in Finance, Fintech and Quantitative Finance programmes. We fully subscribe to the philosophy that post-graduate students should be offered courses that are really at the cutting edge of the technologies and advances that are disrupting the financial industry and delve deep into topics such as A.I., machine learning, and their importance for Asset Management.In these notes, the illustration of the theory of Finance is paired with practical applications to real-life asset allocation problems. A hands-on approach is proposed to construct and manipulate databases to build portfolios, assess their performance and manage their risk. The course begins with a section on the fundamentals on individual choice to market valuation, covering the traditional Markowitz mean-variance approach, market-based asset pricing and Arbitrage-based pricing theory.Empirical modelling in finance is then introduced by illustrating its working and its historical evolution. The translation of financial theory into action on data is driven by building predictive models for asset prices and returns. Basic models are explored, and programming emerges as an essential prerequisite for data manipulation. Readers can acquaint themselves with the statistical software R and exhibit the application of theoretical concepts to financial data, illustrated by sample programs, exercises, and corresponding solutions.

Lectures on the Non-Equilibrium Theory of Condensed Matter (2版)

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This book discusses in depth many of the key problems in non-equilibrium physics. Besides the standard subjects (Boltzmann and Master equations, linear response) it includes several new important subjects as well. The origin of macroscopic irreversible (dissipative) behavior receives an extended attention and is illustrated in the framework of solvable classical models of open systems (Chapter 3). The scaling relationship between the kinetic and hydrodynamical levels is described in Chapter 9. The QED of charged non-relativistic particles and its restriction to the states without photons to order 1/c² leading to the current-current magnetic interaction is discussed in some depth in Chapters 14 and 15. Bose–Einstein condensation in real time within the frame of rate equations, as well as soliton-like solutions of the non-linear Gross-Pitaevskii equation are discussed in Chapter 22. The presentation also includes the latest developments — quantum kinetics — related to modern ultrafast spectroscopy (Chapters 23–30). This second edition was improved, restructured, and enriched with new results from the recent papers of the author. Chapter 3 was largely extended and Chapters 14 and 15 are completely new. Chapter 22 has a new Section. Several new useful figures were added throughout the book as well. Contents: Introduction. (Why and How Non-Equilibrium?) Time-Reversal and Evolution Toward Equilibrium Solvable Classical Models of Open Systems Naive Deduction of the Rate Equation from the Heisenberg Equation of Motion Naive Quantum Kinetics Schrödinger Equation Versus Master Equation Diagonal Master Equations and Rate Equations The Boltzmann Equation Hydrodynamics as Scaling of Kinetic Theory Master Equations for the Density Operator. (Reservoir Theory) Two-Level Atom Interacting with Light Master Equations for the Density Operator with Particle-Particle Collisions (The Super-Projector Approach) Van Hove's Weak Coupling Limit and Davies's Generalization Charged Particles Interacting with the Electromagnetic Field Extension of the Electronic Hamiltonian with Transverse Current-Current Terms Linear Response to External Perturbations The Nyquist Theorem The Kubo Formulae The Longitudinal Dielectric Function of Crystals The Transverse Dielectric Function in the Nonrelativistic Quantum Electrodynamics Excitonic Absorption in a Semiconductor Bose-Einstein Condensation in Real Time Real-Time Experiments: Ultra-Short-Time Spectroscopy Keldysh's Non-Equilibrium Green Functions Keldysh-Green Functions and Time-Reversal Time-Dependent Hartree-Fock Treatment of Coulomb Interaction. The Exciton Quantum Kinetics of Electrons and Holes Scattered by LO Phonons Within the S.C. RPA and the Kadanoff-Baym Approximation Full Two-Time Quantum-Kinetics of Electrons and Holes Scattered by LO Phonons within the S.C. RPA Coulomb Quantum Kinetics of Electrons and Holes within the S.C. RPA and the Kadanoff-Baym Approximation. Time Dependent Screening Full Two-Time Quantum Kinetics of an Electron-Hole Coulomb System. Ward Identities