Stochastic Portfolio Theory

Stochastic Portfolio Theory
Author: E. Robert Fernholz
Publisher: Springer Science & Business Media
Total Pages: 190
Release: 2013-04-17
Genre: Business & Economics
ISBN: 1475736991

Stochastic portfolio theory is a mathematical methodology for constructing stock portfolios and for analyzing the effects induced on the behavior of these portfolios by changes in the distribution of capital in the market. Stochastic portfolio theory has both theoretical and practical applications: as a theoretical tool it can be used to construct examples of theoretical portfolios with specified characteristics and to determine the distributional component of portfolio return. This book is an introduction to stochastic portfolio theory for investment professionals and for students of mathematical finance. Each chapter includes a number of problems of varying levels of difficulty and a brief summary of the principal results of the chapter, without proofs.

Stochastic Optimization Models in Finance

Stochastic Optimization Models in Finance
Author: William T. Ziemba
Publisher: World Scientific
Total Pages: 756
Release: 2006
Genre: Business & Economics
ISBN: 981256800X

A reprint of one of the classic volumes on portfolio theory and investment, this book has been used by the leading professors at universities such as Stanford, Berkeley, and Carnegie-Mellon. It contains five parts, each with a review of the literature and about 150 pages of computational and review exercises and further in-depth, challenging problems.Frequently referenced and highly usable, the material remains as fresh and relevant for a portfolio theory course as ever.

Optimal Portfolios

Optimal Portfolios
Author: Ralf Korn
Publisher: World Scientific
Total Pages: 352
Release: 1997
Genre: Business & Economics
ISBN: 9812385347

The focus of the book is the construction of optimal investment strategies in a security market model where the prices follow diffusion processes. It begins by presenting the complete Black-Scholes type model and then moves on to incomplete models and models including constraints and transaction costs. The models and methods presented will include the stochastic control method of Merton, the martingale method of Cox-Huang and Karatzas et al., the log optimal method of Cover and Jamshidian, the value-preserving model of Hellwig etc.

Advanced Stochastic Models, Risk Assessment, and Portfolio Optimization

Advanced Stochastic Models, Risk Assessment, and Portfolio Optimization
Author: Svetlozar T. Rachev
Publisher: Wiley
Total Pages: 0
Release: 2008-02-25
Genre: Business & Economics
ISBN: 9780470053164

This groundbreaking book extends traditional approaches of risk measurement and portfolio optimization by combining distributional models with risk or performance measures into one framework. Throughout these pages, the expert authors explain the fundamentals of probability metrics, outline new approaches to portfolio optimization, and discuss a variety of essential risk measures. Using numerous examples, they illustrate a range of applications to optimal portfolio choice and risk theory, as well as applications to the area of computational finance that may be useful to financial engineers.

Essentials of Stochastic Finance

Essentials of Stochastic Finance
Author: Albert N. Shiryaev
Publisher: World Scientific
Total Pages: 852
Release: 1999
Genre: Business & Economics
ISBN: 9810236050

Readership: Undergraduates and researchers in probability and statistics; applied, pure and financial mathematics; economics; chaos.

Introduction to Mathematical Portfolio Theory

Introduction to Mathematical Portfolio Theory
Author: Mark S. Joshi
Publisher: Cambridge University Press
Total Pages: 327
Release: 2013-07-11
Genre: Business & Economics
ISBN: 1107042313

This concise yet comprehensive guide focuses on the mathematics of portfolio theory without losing sight of the finance.

Option Theory with Stochastic Analysis

Option Theory with Stochastic Analysis
Author: Fred Espen Benth
Publisher: Springer Science & Business Media
Total Pages: 172
Release: 2012-12-06
Genre: Business & Economics
ISBN: 3642187862

This is a very basic and accessible introduction to option pricing, invoking a minimum of stochastic analysis and requiring only basic mathematical skills. It covers the theory essential to the statistical modeling of stocks, pricing of derivatives with martingale theory, and computational finance including both finite-difference and Monte Carlo methods.

Heterodox Investment Theory

Heterodox Investment Theory
Author: Thomas Pistorius
Publisher: Springer
Total Pages: 265
Release: 2017-08-24
Genre: Business & Economics
ISBN: 3319550055

This book combines the study of rhetoric, history, philosophy, philosophy of statistics and the culture of investing to discuss the foundations of stochastical predictability in investment theory. Besides discussing the problem of stochastical prediction, the book also covers alternative investment theories. Ideas from uncertainty economics, expressed by the likes of Keynes, Knight, von Mises, Taleb and McCloskey are also discussed. This book will be of interest to researchers and academics in the field of investment theory, as well as investment practitioners.

Stochastic Dominance

Stochastic Dominance
Author: Haim Levy
Publisher: Springer Science & Business Media
Total Pages: 439
Release: 2006-08-25
Genre: Business & Economics
ISBN: 0387293116

This book is devoted to investment decision-making under uncertainty. The book covers three basic approaches to this process: the stochastic dominance approach; the mean-variance approach; and the non-expected utility approach, focusing on prospect theory and its modified version, cumulative prospect theory. Each approach is discussed and compared. In addition, this volume examines cases in which stochastic dominance rules coincide with the mean-variance rule and considers how contradictions between these two approaches may occur.

Modern Portfolio Theory

Modern Portfolio Theory
Author: Jack Clark Francis
Publisher: John Wiley & Sons
Total Pages: 576
Release: 2013-01-18
Genre: Business & Economics
ISBN: 1118417208

A through guide covering Modern Portfolio Theory as well as the recent developments surrounding it Modern portfolio theory (MPT), which originated with Harry Markowitz's seminal paper "Portfolio Selection" in 1952, has stood the test of time and continues to be the intellectual foundation for real-world portfolio management. This book presents a comprehensive picture of MPT in a manner that can be effectively used by financial practitioners and understood by students. Modern Portfolio Theory provides a summary of the important findings from all of the financial research done since MPT was created and presents all the MPT formulas and models using one consistent set of mathematical symbols. Opening with an informative introduction to the concepts of probability and utility theory, it quickly moves on to discuss Markowitz's seminal work on the topic with a thorough explanation of the underlying mathematics. Analyzes portfolios of all sizes and types, shows how the advanced findings and formulas are derived, and offers a concise and comprehensive review of MPT literature Addresses logical extensions to Markowitz's work, including the Capital Asset Pricing Model, Arbitrage Pricing Theory, portfolio ranking models, and performance attribution Considers stock market developments like decimalization, high frequency trading, and algorithmic trading, and reveals how they align with MPT Companion Website contains Excel spreadsheets that allow you to compute and graph Markowitz efficient frontiers with riskless and risky assets If you want to gain a complete understanding of modern portfolio theory this is the book you need to read.