Stochastic Portfolio Theory

Stochastic Portfolio Theory PDF
Author: E. Robert Fernholz
Publisher: Springer Science & Business Media
ISBN: 1475736991
Size: 25.44 MB
Format: PDF
Category : Business & Economics
Languages : en
Pages : 178
View: 1002

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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.

Topics In Stochastic Portfolio Theory

Topics in Stochastic Portfolio Theory PDF
Author: Donghan Kim
Publisher:
ISBN:
Size: 51.67 MB
Format: PDF, Mobi
Category :
Languages : en
Pages :
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The second part develops portfolio theory in open markets. An open market is a subset of the entire equity market, composed of a certain fixed number of top-capitalization stocks. Though the number of stocks in open market is fixed, the constituents of the market change over time as each company's rank by its market capitalization fluctuates. When one is allowed to invest also in money market, an open market resembles the entire 'closed' equity market in the sense that most of the results that are valid for the entire market, continue to hold when investment is restricted to the open market. One of these results is the equivalence of market viability (lack of arbitrage) and the existence of num\'eraire portfolio (portfolio which cannot be outperformed). When access to the money market is prohibited, the class of portfolios shrinks significantly in open markets. In such a case, we discuss the Capital Asset Pricing Model, how to construct functionally-generated portfolios, and the concept of universal portfolio in open market setting.

Arbitrage And Stochastic Portfolio Theory In Stochastic Dimension

Arbitrage and Stochastic Portfolio Theory in Stochastic Dimension PDF
Author: Winslow Carter Strong
Publisher:
ISBN: 9781124885995
Size: 76.37 MB
Format: PDF, ePub, Mobi
Category :
Languages : en
Pages : 155
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The topic motivating this dissertation is functionally generated portfolios and their capacity to deliver relative arbitrage, an aspect of stochastic portfolio theory (SPT). The aim is to relax some of the common assumptions of SPT and explore the performance of functionally generated portfolios in this more general setting, with an eye towards arbitrage. In particular, the assumption of a constant number of companies in the market model is relaxed, as well as the assumption that all changes in capitalizations are passed on as returns to investors through the stochastic integral.

Stochastic Calculus With Applications To Stochastic Portfolio Optimisation

Stochastic Calculus with Applications to Stochastic Portfolio Optimisation PDF
Author: Daniel Michelbrink
Publisher: diplom.de
ISBN: 3836612879
Size: 27.65 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 96
View: 5732

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Inhaltsangabe:Introduction: The present paper is about continuous time stochastic calculus and its application to stochastic portfolio selection problems. The paper is divided into two parts: The first part provides the mathematical framework and consists of Chapters 1 and 2, where it gives an insight into the theory of stochastic process and the theory of stochastic calculus. The second part, consisting of Chapters 3 and 4, applies the first part to problems in stochastic portfolio theory and stochastic portfolio optimisation. Chapter 1, "Stochastic Processes", starts with the construction of stochastic process. The significance of Markovian kernels is discussed and some examples of process and emigroups will be given. The simple normal-distribution will be extended to the multi-variate normal distribution, which is needed for introducing the Brownian motion process. Finally, another class of stochastic process is introduced which plays a central role in mathematical finance: the martingale. Chapter 2, "Stochastic Calculus", begins with the introduction of the stochastic integral. This integral is different to the Lebesgue-Stieltjes integral because of the randomness of the integrand and integrator. This is followed by the probably most important theorem in stochastic calculus: It o s formula. It o s formula is of central importance and most of the proofs of Chapters 3 and 4 are not possible without it. We continue with the notion of a stochastic differential equations. We introduce strong and weak solutions and a way to solve stochastic differential equations by removing the drift. The last section of Chapter 2 applies stochastic calculus to stochastic control. We will need stochastic control to solve some portfolio problems in Chapter 4. Chapter 3, "Stochastic Portfolio Theory", deals mainly with the problem of introducing an appropriate model for stock prices and portfolios. These models will be needed in Chapter 4. The first section of Chapter 3 introduces a stock market model, portfolios, the risk-less asset, consumption and labour income processes. The second section, Section 3.2, introduces the notion of relative return as well as portfolio generating functions. Relative return finds application in Chapter 4 where we deal with benchmark optimisation. Benchmark optimisation is optimising a portfolio with respect to a given benchmark portfolio. The final section of Chapter 3 contains some considerations about the long-term behaviour of [...]

Mathematical Modelling And Numerical Methods In Finance

Mathematical Modelling and Numerical Methods in Finance PDF
Author:
Publisher: Elsevier
ISBN: 0080931006
Size: 48.67 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 684
View: 6654

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Mathematical finance is a prolific scientific domain in which there exists a particular characteristic of developing both advanced theories and practical techniques simultaneously. Mathematical Modelling and Numerical Methods in Finance addresses the three most important aspects in the field: mathematical models, computational methods, and applications, and provides a solid overview of major new ideas and results in the three domains. Coverage of all aspects of quantitative finance including models, computational methods and applications Provides an overview of new ideas and results Contributors are leaders of the field

Seminar On Stochastic Analysis Random Fields And Applications Vii

Seminar on Stochastic Analysis  Random Fields and Applications VII PDF
Author: Robert C. Dalang
Publisher: Springer Science & Business Media
ISBN: 3034805454
Size: 43.11 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 469
View: 4777

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This volume contains refereed research or review articles presented at the 7th Seminar on Stochastic Analysis, Random Fields and Applications which took place at the Centro Stefano Franscini (Monte Verità) in Ascona , Switzerland, in May 2011. The seminar focused mainly on: - stochastic (partial) differential equations, especially with jump processes, construction of solutions and approximations - Malliavin calculus and Stein methods, and other techniques in stochastic analysis, especially chaos representations and convergence, and applications to models of interacting particle systems - stochastic methods in financial models, especially models for power markets or for risk analysis, empirical estimation and approximation, stochastic control and optimal pricing. The book will be a valuable resource for researchers in stochastic analysis and for professionals interested in stochastic methods in finance.​

Stochastic Optimization Models In Finance

Stochastic Optimization Models in Finance PDF
Author: W. T. Ziemba
Publisher: World Scientific
ISBN: 9812773657
Size: 25.90 MB
Format: PDF, ePub
Category : Business & Economics
Languages : en
Pages : 756
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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. Sample Chapter(s). Chapter 1: Expected Utility Theory (373 KB). Contents: Mathematical Tools: Expected Utility Theory; Convexity and the Kuhn-Tucker Conditions; Dynamic Programming; Qualitative Economic Results: Stochastic Dominance; Measures of Risk Aversion; Separation Theorems; Static Portfolio Selection Models: Mean-Variance and Safety First Approaches and Their Extensions; Existence and Diversification of Optimal Portfolio Policies: Effects of Taxes on Risk Taking; Dynamic Models Reducible to Static Models: Models That Have a Single Decision Point; Risk Aversion over Time Implies Static Risk Aversion; Myopic Portfolio Policies; Dynamic Models: Two-Period Consumption Models and Portfolio Revision; Models of Optimal Capital Accumulation and Portfolio Selection; Models of Option Strategy; The Capital Growth Criterion and Continuous-Time Models. Readership: Postdoctoral and graduate students, researchers, academics, and professionals interested in portfolio theory and stochastic optimization.

Ben Graham Was A Quant

Ben Graham Was a Quant PDF
Author: Steven P. Greiner
Publisher: John Wiley & Sons
ISBN: 9781118013403
Size: 23.28 MB
Format: PDF, Kindle
Category : Business & Economics
Languages : en
Pages : 352
View: 1151

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Innovative insights on creating models that will help you become a disciplined intelligent investor The pioneer of value investing, Benjamin Graham, believed in a philosophy that continues to be followed by some of today's most successful investors, such as Warren Buffett. Part of this philosophy includes adhering to your stock selection process come "hell or high water" which, in his view, was one of the most important aspects of investing. So, if a quant designs and implements mathematical models for predicting stock or market movements, what better way to remain objective, then to invest using algorithms or the quantitative method? This is exactly what Ben Graham Was a Quant will show you how to do. Opening with a brief history of quantitative investing, this book quickly moves on to focus on the fundamental and financial factors used in selecting "Graham" stocks, demonstrate how to test these factors, and discuss how to combine them into a quantitative model. Reveals how to create custom screens based on Ben Graham's methods for security selection Addresses what it takes to find those factors most influential in forecasting stock returns Explores how to design models based on other styles and international strategies If you want to become a better investor, you need solid insights and the proper guidance. With Ben Graham Was a Quant, you'll receive this and much more, as you learn how to create quantitative models that follow in the footsteps of Graham's value philosophy.

Modern Portfolio Theory

Modern Portfolio Theory PDF
Author: Jack Clark Francis
Publisher: John Wiley & Sons
ISBN: 1118417208
Size: 52.54 MB
Format: PDF, Mobi
Category : Business & Economics
Languages : en
Pages : 576
View: 4115

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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.

Global Energy Policy And Security

Global Energy Policy and Security PDF
Author: Walter Leal Filho
Publisher: Springer Science & Business Media
ISBN: 1447152867
Size: 40.95 MB
Format: PDF, ePub, Docs
Category : Business & Economics
Languages : en
Pages : 330
View: 7638

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Despite efforts to increase renewables, the global energy mix is still likely to be dominated by fossil-fuels in the foreseeable future, particularly gas for electricity and oil for land, air and sea transport. The reliance on depleting conventional oil and natural gas resources and the geographic distribution of these reserves can have geopolitical implications for energy importers and exporters. Global Energy Policy and Security examines the security of global and national energy supplies, as well as the sensitivity and impacts of sustainable energy policies which emphasize the various political, economic, technological, financial and social factors that influence energy supply, demand and security. Multidisciplinary perspectives provide the interrelated topics of energy security and energy policy within a rapidly changing socio-political and technological landscape during the 21st century. Included are two main types of interdisciplinary papers. One set of papers deals with technical aspects of energy efficiency, renewable energy and the use of tariffs. The other set of papers focuses on social, economic or political issues related to energy security and policy, also describing research, practical projects and other concrete initiatives being performed in different parts of the world. This book will prove useful to all those students and researchers interested in the connections between energy production, energy use, energy security and the role of energy policies.

Contemporary Quantitative Finance

Contemporary Quantitative Finance PDF
Author: Carl Chiarella
Publisher: Springer Science & Business Media
ISBN: 3642034799
Size: 24.99 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 423
View: 7019

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This volume contains a collection of papers dedicated to Professor Eckhard Platen to celebrate his 60th birthday, which occurred in 2009. The contributions have been written by a number of his colleagues and co-authors. All papers have been - viewed and presented as keynote talks at the international conference “Quantitative Methods in Finance” (QMF) in Sydney in December 2009. The QMF Conference Series was initiated by Eckhard Platen in 1993 when he was at the Australian - tional University (ANU) in Canberra. Since joining UTS in 1997 the conference came to be organised on a much larger scale and has grown to become a signi?cant international event in quantitative ?nance. Professor Platen has held the Chair of Quantitative Finance at the University of Technology, Sydney (UTS) jointly in the Faculties of Business and Science since 1997. Prior to this appointment, he was the Founding Head of the Centre for Fin- cial Mathematics at the Institute of Advanced Studies at ANU, a position to which he was appointed in 1994. Eckhard completed a PhD in Mathematics at the Technical University in Dresden in 1975 and in 1985 obtained his Doctor of Science degree (Habilitation degree in the German system) from the Academy of Sciences in Berlin where he headed the Stochastics group at the Weierstrass Institute.

Introduction To Mathematical Portfolio Theory

Introduction to Mathematical Portfolio Theory PDF
Author: Mark S. Joshi
Publisher: Cambridge University Press
ISBN: 1107042313
Size: 63.68 MB
Format: PDF
Category : Business & Economics
Languages : en
Pages : 314
View: 2544

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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 PDF
Author: Fred Espen Benth
Publisher: Springer Science & Business Media
ISBN: 9783540405023
Size: 77.53 MB
Format: PDF, Kindle
Category : Business & Economics
Languages : en
Pages : 162
View: 628

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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.