Quantitative Finance for Physicists, 1st Edition

An Introduction

Quantitative Finance for Physicists, 1st Edition,Anatoly B. Schmidt,ISBN9780120884643


Academic Press




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First concise introduction to Quantitative Finance for Physicists

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Key Features

* Short, self-contained book for physicists to master basic concepts and quantitative methods of finance
* Growing field—many physicists are moving into finance positions because of the high-level math required
*Draws on the author's own experience as a physicist who moved into a financial analyst position


With more and more physicists and physics students exploring the possibility of utilizing their advanced math skills for a career in the finance industry, this much-needed book quickly introduces them to fundamental and advanced finance principles and methods.

Quantitative Finance for Physicists provides a short, straightforward introduction for those who already have a background in physics. Find out how fractals, scaling, chaos, and other physics concepts are useful in analyzing financial time series. Learn about key topics in quantitative finance such as option pricing, portfolio management, and risk measurement. This book provides the basic knowledge in finance required to enable readers with physics backgrounds to move successfully into the financial industry.


Physics students following a course on finance worldwide, students in econophysics and quantitative finance, physicists interested in moving into professional finance positions.

Anatoly B. Schmidt

Dr. Anatoly.B. Schmidt holds M.S. and Ph.D. in Physics from Latvian University, Riga. For more than 10 years, Dr. Schmidt was the lead modeling scientist at the Latvian Center for Biological, Medical, and Ecological Research. In the 90s, he was engaged for several years in development of computational chemistry software and in its applications to life sciences. His research interests include modeling "of anything", from biological processes to financial markets. His major fields of expertise are the statistical physics, in particular, the theory of fluids, (poly)electrolytes and plasmas, the solvation theory and its applications in biology, and, most recently, quantitative finance. Dr. Schmidt is the author of the book "Statistical thermodynamics of classical plasmas" (Energoatomizdat, Moscow, 1991), and more than 40 publications in biophysics, statistical and chemical physics, and econophysics. Dr. A.B. Schmidt has been a financial data analyst since 1997.

Affiliations and Expertise

Financial Data Analyst

Quantitative Finance for Physicists, 1st Edition

1. Introduction
2. Financial Markets
2.1 Market price formation
2.2 Returns and dividends
2.2.1 Simple and compounded returns
2.2.2 Dividend effects
2.3 Market Efficiency
2.3.1 Arbitrage
2.3.2 Efficient market hypothesis The idea The critique
2.4 Pathways for further reading
2.5 Exercises
3. Probability distributions
3.1 Basic definitions
3.2 Some important distributions
3.3 Stable distributions and scale invariance
3.4 References for further reading
3.5 Exercises
4. Stochastic processes
4.1 Markov process
4.2 Brownian motion
4.3 Stochastic differential equation. Ito’s lemma
4.4 Stochastic integral
4.5 Martingales
4.6 References for further reading
4.7 Exercises
5. Time series analysis
5.1 Autoregressive and moving average models
5.2 Trends and seasonality
5.3 Conditional heteroskedascisity
5.4 Multivariate time series
5.5 References for further reading and econometric software
5.6 Exercises
6. Fractals
6.1 Basic definitions
6.2 Multifractals
6.3 References for further reading
6.4 Exercises
7. Nonlinear dynamical systems
7.1 Motivation
7.2 Discrete systems: Logistic map
7.3 Continuous systems
7.4 Lorenz model
7.5 Pathways to chaos
7.6 Measuring chaos
7.7 References for further reading
7.8 Exercises
8. Scaling in financial time series
8.1 Introduction
8.2 Power laws in financial data
8.3 New developments
8.4 References for further reading
8.5 Exercises
9. Option Pricing
9.1 Financial derivatives
9.2 General properties of options
9.3 Binomial trees
9.4 Black-Scholes theory
9.5 References for further reading
9.6 Appendix. The invariant of the arbitrage-free portfolio
9.7 Exercises
10. Portfolio management
10.1 Portfolio selection
10.2 Capital asset pricing model
10.3 Arbitrage pricing theory
10.4 Arbitrage trading strategies
10.5 References for further reading
10.6 Exercises
11. Market risk measurement
11.1 Risk measures
11.2 Calculating risk
11.3 References for further reading
11.4 Exercises
12. Agent-based modeling of financial markets
12.1 Introduction
12.2 Adaptive equilibrium models
12.3 Non-equilibrium price models
12.4 Modeling of observable variables
12.5 References for further reading
12.6 Exercises

Quotes and reviews

"… Schmidt's book is the most pedagogical among the few good econophysics books to have appeared in the last years. I am going to use it whenever teaching econophysics to young researchers.... A very positive contribution, giving the new generation of scientists a balanced, interdisciplinary, yet soundly professional background in this fascinating and promising field."
— Sorin Solomon, Professor at the Racah Institute of Physics, Hebrew University of Jerusalem and Director of the Multi-Agent Systems Division at the Institute for Scientific Interchange, Torino

"…What amazes me most in this nicely crafted presentation of hot topics in econometrics, mathematical finance, econophysics, and agent-based modeling is how the selection of topics is well-informed and how these pour out smoothly. I will recommend this book to my own financial economics students as an up-to-date, quick reference companion to classes and the lab."
— Sergio Da Silva, Department of Economics, Federal University of Santa Catarina, Brazil
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