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.

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.