Fuzzy Portfolio Optimization

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Fuzzy Portfolio Optimization

Fuzzy Portfolio Optimization written by Pankaj Gupta and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-17 with Technology & Engineering categories.

This monograph presents a comprehensive study of portfolio optimization, an important area of quantitative finance. Considering that the information available in financial markets is incomplete and that the markets are affected by vagueness and ambiguity, the monograph deals with fuzzy portfolio optimization models. At first, the book makes the reader familiar with basic concepts, including the classical mean–variance portfolio analysis. Then, it introduces advanced optimization techniques and applies them for the development of various multi-criteria portfolio optimization models in an uncertain environment. The models are developed considering both the financial and non-financial criteria of investment decision making, and the inputs from the investment experts. The utility of these models in practice is then demonstrated using numerical illustrations based on real-world data, which were collected from one of the premier stock exchanges in India. The book addresses both academics and professionals pursuing advanced research and/or engaged in practical issues in the rapidly evolving field of portfolio optimization.

Fuzzy Portfolio Optimization

Fuzzy Portfolio Optimization written by Yong Fang 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 2008-09-20 with Business & Economics categories.

Most of the existing portfolio selection models are based on the probability theory. Though they often deal with the uncertainty via probabilistic - proaches, we have to mention that the probabilistic approaches only partly capture the reality. Some other techniques have also been applied to handle the uncertainty of the ?nancial markets, for instance, the fuzzy set theory [Zadeh (1965)]. In reality, many events with fuzziness are characterized by probabilistic approaches, although they are not random events. The fuzzy set theory has been widely used to solve many practical problems, including ?nancial risk management. By using fuzzy mathematical approaches, quan- tative analysis, qualitative analysis, the experts’ knowledge and the investors’ subjective opinions can be better integrated into a portfolio selection model. The contents of this book mainly comprise of the authors’ research results for fuzzy portfolio selection problems in recent years. In addition, in the book, the authors will also introduce some other important progress in the ?eld of fuzzy portfolio optimization. Some fundamental issues and problems of po- folioselectionhavebeenstudiedsystematicallyandextensivelybytheauthors to apply fuzzy systems theory and optimization methods. A new framework for investment analysis is presented in this book. A series of portfolio sel- tion models are given and some of them might be more e?cient for practical applications. Some application examples are given to illustrate these models by using real data from the Chinese securities markets.

Fuzzy Portfolio Optimization For Power Generation Assets

Fuzzy Portfolio Optimization For Power Generation Assets written by Barbara Glensk and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.

Fuzzy sets theory is proposed as an alternative to the probabilistic approach for assessing portfolios of power plants, in order to capture the complex reality of decision-making processes. This paper presents different fuzzy portfolio selection models, where the rate of returns as well as the investor's aspiration levels of portfolio return and risk are regarded as fuzzy variables. Furthermore, portfolio risk is defined as a downside risk, which is why a semi-mean-absolute deviation portfolio selection model is introduced. Finally, as an illustration, the models presented are applied to a selection of power generation mixes. The efficient portfolio results show that the fuzzy portfolio selection models with different definitions of membership functions as well as the semi-mean-absolute deviation model perform better than the standard mean-variance approach. Moreover, introducing membership functions for the description of investors' aspiration levels for the expected return and risk shows how the knowledge of experts, and investors' subjective opinions, can be better integrated in the decision-making process than with probabilistic approaches.

Fuzzy Portfolio Optimization Under Downside Risk Measures

Fuzzy Portfolio Optimization Under Downside Risk Measures written by José D. Bermúdez and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.

Fuzzy Portfolio Optimization Of Onshore Wind Power Plants

Fuzzy Portfolio Optimization Of Onshore Wind Power Plants written by Reinhard Madlener and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with categories.

In this paper we apply fuzzy set theory to the portfolio optimization of power generation assets, using a semi-mean absolute deviation (SMAD) model as a benchmark and a fuzzy semi-mean absolute deviation (FSMAD) model for comparison. The two models are applied to five onshore wind power plants in Germany considered for the portfolio analysis. The results show that the combinations of favorable assets for efficient portfolios are very similar, although the portfolio shares are markedly different. Also, the return and risk span of the SMAD model are much broader than those of the FSMAD model. The highest returns are generated by portfolios based on the latter model. Offering less portfolio choices, the FSMAD model thus facilitates decision-making. This is in compliance with the notion that portfolio optimization by fuzzy set theory is able to better account for the decision-maker's preferences under real-world conditions.

Portfolio Risk Optimization By Fuzzy Approaches

Portfolio Risk Optimization By Fuzzy Approaches written by Thanh Thi Nguyen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.

Due to the complexity and uncertainty in real world portfolio management, investors might be reluctant and sometimes unable to provide precise judgements regarding stock performance. In this context, analysts have long advocated use of fuzzy mathematics so that uncertainties and lack of precision can be acknowledged. This research therefore explores the applications of fuzzy sets in particular, or fuzzy logic in general for representing vague and imprecise financial data for portfolio risk optimization. Asset returns are uncertain and changeable over time so we model asset returns as fuzzy random variables and propose portfolio optimization models. Using fuzzy random variables, we introduce a new concept of financial risk, and the fuzzy Sharpe ratio contributing an important advancement in portfolio selection in the fuzzy environment. Two solution methods using a fuzzy approach and a genetic algorithm are applied to the proposed models. The proposed approach exhibits advantages over the so-called standard mean-variance optimization (MVO), throughout experimental results. The non-Gaussian distribution of asset returns has long been recognized, and the conventional MVO has been criticized as inadequate. Hence utilizing higher moments than variance, i.e. skewness, kurtosis soon emerged in portfolio selection. This research investigates the importance of higher moments in portfolio optimization through deploying fuzzy approaches. Marginal impacts of stocks on portfolio return and higher moment risks, are modelled by fuzzy numbers. The fuzzy models are constructed to optimize not only portfolio return and normal variance risk but also the portfolio higher moment risks. From the stock marginal impact modelling, two fuzzy approaches are used to derive optimal portfolio allocations. The first approach applies the constrained fuzzy analytic hierarchy process, whereas the second approach uses the fuzzy linear programming method. The efficiency of both approaches shows advantages of the proposed fuzzy models in portfolio selection. Going beyond the normal variance and higher moment risks, investors also should take into account downside risk measures. The downside risks are inspired by the principle of safety first in portfolio selection. The principle states that an investor would prefer the investment with the smallest probability of going below the target return. A fuzzy integrated framework is proposed accounting for portfolio return and six risk criteria including normal risk (volatility), asymmetric risk (skewness), "fat-tail" risk (kurtosis) and downside risks, i.e. semi-variance, modified Value-at-Risk, and modified Expected Shortfall. Fuzzy goals of portfolio's return and risks are constructed by bootstrapping, and kernel smoothing density estimate. A preselection process dealing with large datasets is also adopted to eliminate low diversification potential stocks before running the optimization model. Various investors' risk preference schemes are implemented with both national and international experimental datasets. Results reported demonstrate the advantages of the proposed fuzzy framework compared to a conventional higher moment portfolio optimization model. The conclusion is that fuzzy modelling is efficient and competent in various portfolio selection formulations when uncertainty and vagueness are deemed present. When appropriately utilized, fuzzy approaches can bring superior investment outcomes compared to conventional non-fuzzy models prevalent in the literature.

The Journal Of Fuzzy Mathematics

The Journal Of Fuzzy Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Fuzzy arithmetic categories.

Portfolio Optimization Of Equity Mutual Funds With Fuzzy Return Rates And Risks

Portfolio Optimization Of Equity Mutual Funds With Fuzzy Return Rates And Risks written by 黃秋凌 and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.

Fuzzy Structures

Fuzzy Structures written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Fuzzy logic categories.

Portfolio Optimization Using Neuro Fuzzy System In Indian Stock Market

Portfolio Optimization Using Neuro Fuzzy System In Indian Stock Market written by M. Gunasekaran and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.

This paper describes a portfolio optimization system by using Neuro-Fuzzy framework in order to manage stock portfolio. It is great importance to stock investors and applied researchers. The proposed portfolio optimization approach Neuro-Fuzzy System reasoning in order to make a more yields from the stock portfolio, and hence maximize return and minimize risk of a stock portfolio through diversification and right investment allocation to the particular stock under uncertainty. To evaluate the performance of forecasting and optimization system, BSE Sensex index of India considered as benchmarks in this study to measure efficient forecasting models. The results show that the proposed Neuro-Fuzzy system produces much higher accuracy when compared to other portfolio models.