Portfolio analysis : from probabilistic to credibilistic and uncertain approaches /

Portfolio analysis : from probabilistic to credibilistic and uncertain approaches /

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Bibliographic Details
Author / Creator:	Huang, Xiaoxia.
Imprint:	Berlin : Springer Verlag, 2010.
Description:	1 online resource (ix, 182 pages) : illustrations.
Language:	English
Series:	Studies in fuzziness and soft computing, 1434-9922 ; v. 250 Studies in fuzziness and soft computing ; v. 250.
Subject:	Portfolio management -- Mathematical models. Probabilities -- Mathematical models. Uncertainty -- Mathematical models. Portfolio management -- Mathematical models. Probabilities -- Mathematical models. Uncertainty -- Mathematical models.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11074175

Hidden Bibliographic Details
ISBN:	9783642112140 3642112145 1280003340 9781280003349 9783642112133 3642112137
Notes:	Includes bibliographical references (pages 173-177 and index. Print version record.
Summary:	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 different 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 handling uncertainty in the past. However, the world is complex and uncertainty is varied. Randomness is not the only type of uncertainty in reality, especially when human factors are included. Security market, one of the most complex markets in the world, contains almost all kinds of uncertainty. The security returns are sensitive to various factors including economic, social, political and very importantly, people{u2019}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 uncertainty in portfolio selection since 1990s. In this book, we want to add to the tools existing in science some new and unorthodox approaches for analyzing uncertainty of portfolio returns. When security returns are fuzzy, we use credibility which has self-duality property as the basic measure and employ credibility theory to help make selection decision such that the decision result will be consistent with the laws of contradiction and excluded middle. Being aware that 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.
Other form:	Print version: Huang, Xiaoxia. Portfolio analysis. Berlin : Springer Verlag, 2010 9783642112133 3642112137

Description
Summary:	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 portfolioselection is to ?nd a quantitative risk de?nition of a portfolio investment.
Physical Description:	1 online resource (ix, 182 pages) : illustrations.
Bibliography:	Includes bibliographical references (pages 173-177 and index.
ISBN:	9783642112140 3642112145 1280003340 9781280003349 9783642112133 3642112137
ISSN:	1434-9922 ;