Physics and Finance

This book introduces physics students to concepts and methods of finance. Despite being perceived as quite distant from physics, finance shares a number of common methods and ideas, usually related to noise and uncertainties. Juxtaposing the key methods to applications in both physics and finance articulates both differences and common features, this gives students a deeper understanding of the underlying ideas. Moreover, they acquire a number of useful mathematical and computational tools, such as stochastic differential equations, path integrals, Monte-Carlo methods, and basic cryptology. Each chapter ends with a set of carefully designed exercises enabling readers to test their comprehension.

Provides a compact introduction to common concepts of physics and finance Offers cross-disciplinary view which deepens understanding of underlying concepts Exhibits try-yourself MATLAB/Octave scripts which provide hands-on experience Includes end-of-chapter exercises which foster practical working knowledge Presents explicit derivations and worked examples in MATLAB which extend the readers' toolbox of mathematical and computational methods

Autorentext

Volker Ziemann obtained his Ph.D. in accelerator physics from Dortmund University in 1990. After postdoctoral positions in Stanford at SLAC and in Geneva at CERN, where he worked on the design of the LHC, in 1995, he moved to Uppsala where he worked at the electron-cooler storage ring CELSIUS. In 2005, he moved to the physics department where he has since taught physics. He was responsible for several accelerator physics projects at CERN, DESY, and XFEL. In 2014, he received the Thuréus prize from the Royal Society of Sciences in Uppsala.

Inhalt
Chapter 1 - Introduction.- Chapter 2 - Concepts of finance.- Chapter 3 - Portfolio theory and CAPM.- Chapter 4 - Stochastic processes.- Chapter 5 - Black-Scholes differential equation.- Chapter 6 - The Greeks and risk management.- Chapter 7 - Regression models and hypothesis testing.- Chapter 8 - Time series.- Chapter 9 - Bubbles, crashes, fat tails and Levy-stable distributions.- Chapter 10 - Quantum finance and path integrals.- Chapter 11 - Optimal control theory.