Mathematical Portfolio Theory And Analysis
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Mathematical Portfolio Theory And Analysis
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Author : Siddhartha Pratim Chakrabarty
language : en
Publisher: Springer Nature
Release Date : 2023-02-18
Mathematical Portfolio Theory And Analysis written by Siddhartha Pratim Chakrabarty and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-18 with Mathematics categories.
Designed as a self-contained text, this book covers a wide spectrum of topics on portfolio theory. It covers both the classical-mean-variance portfolio theory as well as non-mean-variance portfolio theory. The book covers topics such as optimal portfolio strategies, bond portfolio optimization and risk management of portfolios. In order to ensure that the book is self-contained and not dependent on any pre-requisites, the book includes three chapters on basics of financial markets, probability theory and asset pricing models, which have resulted in a holistic narrative of the topic. Retaining the spirit of the classical works of stalwarts like Markowitz, Black, Sharpe, etc., this book includes various other aspects of portfolio theory, such as discrete and continuous time optimal portfolios, bond portfolios and risk management. The increase in volume and diversity of banking activities has resulted in a concurrent enhanced importance of portfolio theory, both in terms of management perspective (including risk management) and the resulting mathematical sophistication required. Most books on portfolio theory are written either from the management perspective, or are aimed at advanced graduate students and academicians. This book bridges the gap between these two levels of learning. With many useful solved examples and exercises with solutions as well as a rigorous mathematical approach of portfolio theory, the book is useful to undergraduate students of mathematical finance, business and financial management.
Introduction To Mathematical Portfolio Theory
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Author : Mark S. Joshi
language : en
Publisher: Cambridge University Press
Release Date : 2013-07-11
Introduction To Mathematical Portfolio Theory written by Mark S. Joshi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-11 with Business & Economics categories.
This concise yet comprehensive guide focuses on the mathematics of portfolio theory without losing sight of the finance.
Portfolio Theory And Arbitrage A Course In Mathematical Finance
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Author : Ioannis Karatzas
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-08-12
Portfolio Theory And Arbitrage A Course In Mathematical Finance written by Ioannis Karatzas and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-12 with Education categories.
This book develops a mathematical theory for finance, based on a simple and intuitive absence-of-arbitrage principle. This posits that it should not be possible to fund a non-trivial liability, starting with initial capital arbitrarily near zero. The principle is easy-to-test in specific models, as it is described in terms of the underlying market characteristics; it is shown to be equivalent to the existence of the so-called “Kelly” or growth-optimal portfolio, of the log-optimal portfolio, and of appropriate local martingale deflators. The resulting theory is powerful enough to treat in great generality the fundamental questions of hedging, valuation, and portfolio optimization. The book contains a considerable amount of new research and results, as well as a significant number of exercises. It can be used as a basic text for graduate courses in Probability and Stochastic Analysis, and in Mathematical Finance. No prior familiarity with finance is required, but it is assumed that readers have a good working knowledge of real analysis, measure theory, and of basic probability theory. Familiarity with stochastic analysis is also assumed, as is integration with respect to continuous semimartingales.
Stochastic Portfolio Theory
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Author : E. Robert Fernholz
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Stochastic Portfolio Theory written by E. Robert Fernholz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Business & Economics categories.
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.
Modern Portfolio Theory Website
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Author : Jack Clark Francis
language : en
Publisher: John Wiley & Sons
Release Date : 2013-01-22
Modern Portfolio Theory Website written by Jack Clark Francis and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-22 with Business & Economics categories.
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.
Portfolio Theory And Risk Management
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Author : Maciej J. Capiński
language : en
Publisher: Cambridge University Press
Release Date : 2014-08-07
Portfolio Theory And Risk Management written by Maciej J. Capiński and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-07 with Business & Economics categories.
A rigorous account of classical portfolio theory and a simple introduction to modern risk measures and their limitations.
Portfolio Analysis
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Author : Xiaoxia Huang
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-02-18
Portfolio Analysis written by Xiaoxia Huang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-02-18 with Computers categories.
The most salient feature of security returns is uncertainty. The purpose of the book is to provide systematically a quantitative method for analyzing return and risk of a portfolio investment in di?erent kinds of uncertainty and present the ways for striking a balance between investment return and risk such that an optimal portfolio can be obtained. In classical portfolio theory, security returns were assumed to be random variables, and probability theory was the main mathematical tool for h- dling uncertainty in the past. However,the world is complex and uncertainty is varied. Randomnessis nottheonly typeofuncertaintyinreality,especially when human factors are included. Security market, one of the most complex marketsintheworld,containsalmostallkindsofuncertainty. Thesecurity- turns are sensitive to various factors including economic, social, political and very importantly, people’s psychological factors. Therefore, other than strict probability method, scholars have proposed some other approaches including imprecise probability, possibility, and interval set methods, etc. , to deal with uncertaintyinportfolioselectionsince1990’s. Inthisbook,wewantto addto thetools existingin sciencesomenewandunorthodoxapproachesforanal- ing uncertainty of portfolio returns. When security returns are fuzzy, we use credibility which has self-duality property as the basic measure and employ credibilitytheorytohelpmakeselectiondecisionsuchthatthedecisionresult will be consistent with the laws of contradiction and excluded middle. Being awarethat one tool is not enough for solving complex practical problems, we further employ uncertain measure and uncertainty theory to help select an optimal portfolio when security returns behave neither randomly nor fuzzily. One core of portfolio selection is to ?nd a quantitative risk de?nition of a portfolio investment.
Portfolio Optimization And Performance Analysis
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Author : Jean-Luc Prigent
language : en
Publisher: CRC Press
Release Date : 2007-05-07
Portfolio Optimization And Performance Analysis written by Jean-Luc Prigent and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-07 with Business & Economics categories.
In answer to the intense development of new financial products and the increasing complexity of portfolio management theory, Portfolio Optimization and Performance Analysis offers a solid grounding in modern portfolio theory. The book presents both standard and novel results on the axiomatics of the individual choice in an uncertain framework, cont
Portfolio Theory Financial Analyses
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Author :
language : en
Publisher: Bookboon
Release Date :
Portfolio Theory Financial Analyses written by and has been published by Bookboon this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Modern Portfolio Theory And Investment Analysis Ninth Edition
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Author : E. J. Elton
language : en
Publisher:
Release Date : 2017-04-28
Modern Portfolio Theory And Investment Analysis Ninth Edition written by E. J. Elton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-28 with categories.