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Stochastic Dominance And Omega Ratio
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Book Synopsis A Note on Stochastic Dominance and the Omega Ratio by : Xu Guo
Download or read book A Note on Stochastic Dominance and the Omega Ratio written by Xu Guo and published by . This book was released on 2016 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: We first show that second-order stochastic dominance (SSD) and/or second-order risk-seeking stochastic dominance (SRSD) alone for any two prospects is not sufficient to imply the Omega ratio of one asset is always greater than that of the other one. We then extend the theory of risk measures by proving that the preference of second-order stochastic dominance implies the preference of the corresponding Omega ratios only when the return threshold is less than the mean of the higher-return asset. On the other hand, the preference of second-order risk-seeking stochastic dominance implies the preference of the corresponding Omega ratios only when the return threshold is bigger than the mean of the smaller-return asset. Nonetheless, the preference of first-order stochastic dominance does imply the preference of the corresponding Omega ratios for any return threshold.
Book Synopsis On Consistency of the Omega Ratio with Stochastic Dominance Rules by : Bernhard Klar
Download or read book On Consistency of the Omega Ratio with Stochastic Dominance Rules written by Bernhard Klar and published by . This book was released on 2017 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stochastic Dominance and Omega Ratio by : Xu Guo
Download or read book Stochastic Dominance and Omega Ratio written by Xu Guo and published by . This book was released on 2017 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt: Both stochastic dominance and Omega ratio can be used to examine whether market is efficient, whether there is any arbitrage opportunity in the market, and whether there is any anomaly in the market. In this paper, we first study relationship between stochastic dominance and Omega ratio. We find that second-order stochastic dominance (SD) and/or second-order risk-seeking SD (RSD) alone for any two prospects is not sufficient to imply Omega-ratio dominance insofar that the Omega ratio of one asset is always greater than that of the other one. We extend the theory of risk measures by proving that the preference of second-order SD implies the preference of the corresponding Omega ratios only when the return threshold is less than the mean of the higher-return asset. On the other hand, the preference of the second-order RSD implies the preference of the corresponding Omega ratios only when the return threshold is larger than the mean of the smaller-return asset. Nonetheless, first-order SD does imply Omega-ratio dominance. Thereafter, we apply the theory developed in this paper to examine the relationship between property size and property investment in the Hong Kong real estate market. We conclude that the Hong Kong real estate market is not efficient and there are expected arbitrage opportunity and anomaly in the Hong Kong real estate market. Our findings are useful for investors and policy makers in real estate.
Book Synopsis The Preferences of Omega Ratio for Risk Averters and Risk Seekers by : Xu Guo
Download or read book The Preferences of Omega Ratio for Risk Averters and Risk Seekers written by Xu Guo and published by . This book was released on 2017 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is well-known that under some conditions, the mean-variance rule is equivalent to stochastic dominance rule. Some academics hypothesize that there could exist mean-Omega ratio rule that could be equivalent to stochastic dominance rule under certain conditions. To explore this possible, in this paper, we aim to establish the necessary conditions between Omega ratio and stochastic dominance that leads to the preferences of risk averters/seekers. We find that it is possible to establish the necessary conditions between and Omega ratio and the preferences of risk averters/seekers under the condition that the variables being compared belong to the location-scale family or the same linear combination of location-scale families.
Book Synopsis Could Omega Ratio Perform Better Than Sharpe Ratio? by : Xu Guo
Download or read book Could Omega Ratio Perform Better Than Sharpe Ratio? written by Xu Guo and published by . This book was released on 2018 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we will investigate whether there is any Sharpe ratio rule or Omega ratio rule that can be used to show that one asset outperforms another asset if it has a higher Sharpe ratio and/or Omega ratio. We find that Sharpe ratio rule could not detect preference of both risk averters and risk seekers in some strong dominance cases. We set up the Omega ratio rule and find that the Omega ratio rule is better than the mean-variance rule because the former could the former can detect the first order stochastic dominated asset but the latter cannot. We also show the superiority of the Omega ratio rule over any Sharpe ratio rule by using hedging funds data and discuss the advantage of using the Omega ratio rule to stochastic dominance rule.
Book Synopsis Innovations In Insurance, Risk- And Asset Management - Proceedings Of The Innovations In Insurance, Risk- And Asset Management Conference by : Kathrin Glau
Download or read book Innovations In Insurance, Risk- And Asset Management - Proceedings Of The Innovations In Insurance, Risk- And Asset Management Conference written by Kathrin Glau and published by World Scientific. This book was released on 2018-09-14 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers recent developments in the interdisciplinary fields of actuarial science, quantitative finance, risk- and asset management. The authors are leading experts from academia and practice who participated in Innovations in Insurance, Risk- and Asset Management, an international conference held at the Technical University of Munich in 2017.The topics covered include the mathematics of extreme risks, systemic risk, model uncertainty, interest rate and hybrid models, alternative investments, dynamic investment strategies, quantitative risk management, asset liability management, liability driven investments, and behavioral finance.This timely selection of topics is highly relevant for the financial industry and addresses current issues both from an academic as well as from a practitioner's point of view.
Book Synopsis Sustainability of the Theories Developed by Mathematical Finance and Mathematical Economics with Applications by : Wing-Keung Wong
Download or read book Sustainability of the Theories Developed by Mathematical Finance and Mathematical Economics with Applications written by Wing-Keung Wong and published by MDPI. This book was released on 2020-12-15 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topics studied in this Special Issue include a wide range of areas in finance, economics, tourism, management, marketing, and education. The topics in finance include stock market, volatility and excess returns, REIT, warrant and options, herding behavior and trading strategy, supply finance, and corporate finance. The topics in economics including economic growth, income poverty, and political economics.
Book Synopsis Stochastic Dominance and Applications to Finance, Risk and Economics by : Songsak Sriboonchita
Download or read book Stochastic Dominance and Applications to Finance, Risk and Economics written by Songsak Sriboonchita and published by CRC Press. This book was released on 2009-10-19 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing from many sources in the literature, Stochastic Dominance and Applications to Finance, Risk and Economics illustrates how stochastic dominance (SD) can be used as a method for risk assessment in decision making. It provides basic background on SD for various areas of applications. Useful Concepts and Techniques for Economics ApplicationsThe
Book Synopsis Portfolio Theory and Management by : H. Kent Baker
Download or read book Portfolio Theory and Management written by H. Kent Baker and published by Oxford University Press. This book was released on 2013-01-07 with total page 798 pages. Available in PDF, EPUB and Kindle. Book excerpt: Portfolio management is an ongoing process of constructing portfolios that balances an investor's objectives with the portfolio manager's expectations about the future. This dynamic process provides the payoff for investors. Portfolio management evaluates individual assets or investments by their contribution to the risk and return of an investor's portfolio rather than in isolation. This is called the portfolio perspective. Thus, by constructing a diversified portfolio, a portfolio manager can reduce risk for a given level of expected return, compared to investing in an individual asset or security. According to modern portfolio theory (MPT), investors who do not follow a portfolio perspective bear risk that is not rewarded with greater expected return. Portfolio diversification works best when financial markets are operating normally compared to periods of market turmoil such as the 2007-2008 financial crisis. During periods of turmoil, correlations tend to increase thus reducing the benefits of diversification. Portfolio management today emerges as a dynamic process, which continues to evolve at a rapid pace. The purpose of Portfolio Theory and Management is to take readers from the foundations of portfolio management with the contributions of financial pioneers up to the latest trends emerging within the context of special topics. The book includes discussions of portfolio theory and management both before and after the 2007-2008 financial crisis. This volume provides a critical reflection of what worked and what did not work viewed from the perspective of the recent financial crisis. Further, the book is not restricted to the U.S. market but takes a more global focus by highlighting cross-country differences and practices. This 30-chapter book consists of seven sections. These chapters are: (1) portfolio theory and asset pricing, (2) the investment policy statement and fiduciary duties, (3) asset allocation and portfolio construction, (4) risk management, (V) portfolio execution, monitoring, and rebalancing, (6) evaluating and reporting portfolio performance, and (7) special topics.
Book Synopsis On the (Ab)Use of Omega? by : Massimiliano Caporin
Download or read book On the (Ab)Use of Omega? written by Massimiliano Caporin and published by . This book was released on 2016 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several recent finance articles employ the Omega measure, proposed by Keating and Shadwick (2002) - defined as a ratio of potential gains out of possible losses - for gauging the performance of funds or active strategies (e.g. Eling and Schuhmacher, 2007; Farinelli and Tibiletti, 2008; Annaert et al., 2009; Bertrand and Prigent, 2011; Zieling et al., 2014; Kapsos et al., 2014; Hamidi et al., 2014), in substitution of the traditional Sharpe ratio (1966), with the arguments that return distributions are not Gaussian and volatility is not, always, the relevant risk metric. Other authors also use the same criterion for optimizing (non-linear) portfolios with important downside risk. However, we wonder in this article about the relevance of such approaches. First, we show through a basic illustration that the Omega ratio is inconsistent with the Strict Inferior Second-order Stochastic Dominance criterion. Furthermore, we observe that the trade-off between return and risk, corresponding to the Omega measure, may be essentially influenced by the mean return. Next, we illustrate in static and dynamic frameworks that Omega-based optimal portfolios can be associated with traditional optimization paradigms depending on the chosen threshold used in the computation of Omega. Finally, we present some robustness checks on long-only asset and hedge fund databases that all confirm our general results.
Book Synopsis Statistical Methods for Financial Engineering by : Bruno Remillard
Download or read book Statistical Methods for Financial Engineering written by Bruno Remillard and published by CRC Press. This book was released on 2016-04-19 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: While many financial engineering books are available, the statistical aspects behind the implementation of stochastic models used in the field are often overlooked or restricted to a few well-known cases. Statistical Methods for Financial Engineering guides current and future practitioners on implementing the most useful stochastic models used in f
Book Synopsis Portfolio Optimization and Performance Analysis by : Jean-Luc Prigent
Download or read book Portfolio Optimization and Performance Analysis written by Jean-Luc Prigent and published by CRC Press. This book was released on 2007-05-07 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Mathematical Finance with Applications by : Wing-Keung Wong
Download or read book Mathematical Finance with Applications written by Wing-Keung Wong and published by MDPI. This book was released on 2020-12-07 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical finance plays a vital role in many fields within finance and provides the theories and tools that have been widely used in all areas of finance. Knowledge of mathematics, probability, and statistics is essential to develop finance theories and test their validity through the analysis of empirical, real-world data. For example, mathematics, probability, and statistics could help to develop pricing models for financial assets such as equities, bonds, currencies, and derivative securities.
Book Synopsis Expectiles, Omega Ratios and Stochastic Ordering by : Fabio Bellini
Download or read book Expectiles, Omega Ratios and Stochastic Ordering written by Fabio Bellini and published by . This book was released on 2016 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we introduce the expectile order, defined by X leq_e Y if e_ alpha(X) leq e_ alpha(Y) for each alpha in (0,1), where e_ alpha denotes the alpha-expectile. We show that the expectile order is equivalent to the pointwise ordering of the Omega ratios, and we derive several necessary and sufficient conditions. In the case of equal means, the expectile order can be easily characterized by means of the stop-loss transform; in the more general case of different means we provide some sufficient conditions. In contrast with the more common stochastic orders such leq_{st} and leq_{cx}, the expectile order is not generated by a class of utility functions and is not closed with respect to convolutions. As an illustration, we compare the leq_{st}, leq_{icx} and leq_e orders in the family of Lomax distributions.
Book Synopsis Risk Measures with Applications in Finance and Economics by : Michael McAleer
Download or read book Risk Measures with Applications in Finance and Economics written by Michael McAleer and published by MDPI. This book was released on 2019-07-23 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Risk measures play a vital role in many subfields of economics and finance. It has been proposed that risk measures could be analysed in relation to the performance of variables extracted from empirical real-world data. For example, risk measures may help inform effective monetary and fiscal policies and, therefore, the further development of pricing models for financial assets such as equities, bonds, currencies, and derivative securities.A Special Issue of “Risk Measures with Applications in Finance and Economics” will be devoted to advancements in the mathematical and statistical development of risk measures with applications in finance and economics. This Special Issue will bring together the theory, practice and real-world applications of risk measures. This book is a collection of papers published in the Special Issue of “Risk Measures with Applications in Finance and Economics” for Sustainability in 2018.
Book Synopsis Innovations in Insurance, Risk- and Asset Management by : Kathrin Glau
Download or read book Innovations in Insurance, Risk- and Asset Management written by Kathrin Glau and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stochastic Dominance written by Haim Levy and published by Springer. This book was released on 2015-10-31 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fully updated third edition is devoted to the analysis of various Stochastic Dominance (SD) decision rules. It discusses the pros and cons of each of the alternate SD rules, the application of these rules to various research areas like statistics, agriculture, medicine, measuring income inequality and the poverty level in various countries, and of course, to investment decision-making under uncertainty. The book features changes and additions to the various chapters, and also includes two completely new chapters. One deals with asymptotic SD and the relation between FSD and the maximum geometric mean (MGM) rule (or the maximum growth portfolio). The other new chapter discusses bivariate SD rules where the individual’s utility is determined not only by his own wealth, but also by his standing relative to his peer group. Stochastic Dominance: Investment Decision Making under Uncertainty, 3rd Ed. covers the following basic issues: the SD approach, asymptotic SD rules, the mean-variance (MV) approach, as well as the non-expected utility approach. The non-expected utility approach focuses on Regret Theory (RT) and mainly on prospect theory (PT) and its modified version, cumulative prospect theory (CPT) which assumes S-shape preferences. In addition to these issues the book suggests a new stochastic dominance rule called the Markowitz stochastic dominance (MSD) rule corresponding to all reverse-S-shape preferences. It also discusses the concept of the multivariate expected utility and analyzed in more detail the bivariate expected utility case. From the reviews of the second edition: "This book is an economics book about stochastic dominance. ... is certainly a valuable reference for graduate students interested in decision making under uncertainty. It investigates and compares different approaches and presents many examples. Moreover, empirical studies and experimental results play an important role in this book, which makes it interesting to read." (Nicole Bäuerle, Mathematical Reviews, Issue 2007 d)
