Christian Menn & Svetlozar T. Rachev 
Fat-Tailed and Skewed Asset Return Distributions 
Implications for Risk Management, Portfolio Selection, and Option Pricing

While mainstream financial theories and applications assume that asset returns are normally distributed, overwhelming empirical evidence shows otherwise. Yet many professionals don’t appreciate the highly statistical models that take this empirical evidence into consideration. Fat-Tailed and Skewed Asset Return Distributions examines this dilemma and offers readers a less technical look at how portfolio selection, risk management, and option pricing modeling should and can be undertaken when the assumption of a non-normal distribution for asset returns is violated. Topics covered in this comprehensive book include an extensive discussion of probability distributions, estimating probability distributions, portfolio selection, alternative risk measures, and much more. Fat-Tailed and Skewed Asset Return Distributions provides a bridge between the highly technical theory of statistical distributional analysis, stochastic processes, and econometrics of financial returns and real-world risk management and investments.

Inhaltsverzeichnis

Preface.

About the Authors.

Chapter 1: Introduction.

PART ONE: Probability and Statistics.

Chapter 2: Discrete Probability Distributions.

Chapter 3: Continuous Probability Distributions.

Chapter 4: Describing a Probability Distribution Function:
Statistical Moments and Quantiles.

Chapter 5: Joint Probability Distributions.

Chapter 6: Copulas.

Chapter 7: Stable Distributions.

Chapter 8: Estimation Methodologies.

PART TWO: Stochastic Processes.

Chapter 9: Stochastic Processes in Discrete Time and Time Series
Analysis.

Chapter 10: Stochastic Processes in Continuous Time.

PART THREE: Portfolio Selection.

Chapter 11: Equity and Bond Return Distributions.

Chapter 12: Risk Measures and Portfolio Selection.

Chapter 13: Risk Measures in Portfolio Optimization and
Performance Measures.

PART FOUR: Risk Management.

Chapter 14: Market Risk.

Chapter 15: Credit Risk.

Chapter 16: Operational Risk.

PART FIVE: Option Pricing.

Chapter 17: Introduction to Option Pricing and the Binomial
Model.

Chapter 18: Black-Scholes Option Pricing Model.

Chapter 19: Extension of the Black-Scholes Model and Alternative
Approaches.

INDEX.

Über den Autor

SVETLOZAR T. RACHEV, Ph D, DR. SCI, is currently Chair-Professor at
the University of Karlsruhe in the School of Economics and Business
Engineering and Professor Emeritus at the University of California.
He is also the founder of Bravo Risk Management Group and Chief
Scientist of Fin Analytica.

CHRISTIAN MENN, DR. RER. POL., is Hochschulassistent at the
Chair of Statistics, Econometrics and Mathematical Finance at the
University of Karlsruhe. Currently, he is a Visiting Scientist at
the School of Operations Research and Industrial Engineering at
Cornell University as a postdoctoral fellow.

FRANK J. FABOZZI, Ph D, CFA, CPA, is the Frederick Frank Adjunct
Professor of Finance at Yale University’s School of Management. He
is also a Fellow of the International Center for Finance at Yale
University. Prior to joining the Yale faculty, Fabozzi was a
visiting professor of finance in the Sloan School at MIT. Fabozzi
has authored and edited many acclaimed books in finance and is also
the Editor of the Journal of Portfolio Management.