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Author: Gleb Gertsman
Publisher:
ISBN:
Category :
Languages : en
Pages : 23
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Book Description
Marginal Conditional Stochastic Dominance (MCSD) states the probabilistic conditions under which, given a specific portfolio, one risky asset is marginally preferred to another by all risk-averse investors. Furthermore, by increasing the share of dominating assets and reducing the share of dominated assets one can improve the portfolio performance for all these investors. We use this standard MCSD model sequentially to build optimal portfolios that are then compared to the optimal portfolios obtained from Chow's MCSD statistical test model. These portfolios are furthermore compared to the portfolios obtained from the recently developed Almost Marginal Conditional Stochastic Dominance (AMCSD) model. The AMCSD model restricts the class of risk-averse investors by not including extreme case utility functions and reducing the incidence of unrealistic behavior under uncertainty. For each model, an algorithm is developed to manage the various dynamic portfolios traded on the New York, Frankfurt, London, and Tel Aviv stock exchanges during the years 2000-2012. The results show how the various MCSD optimal portfolios provide valid investment alternatives to stochastic dominance optimization.MCSD and AMCSD investment models dramatically improve the initial portfolios and accumulate higher returns while the strategy derived from Chow's statistical test performed poorly and did not yield any positive return.
Author: Gleb Gertsman
Publisher:
ISBN:
Category :
Languages : en
Pages : 23
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Book Description
Marginal Conditional Stochastic Dominance (MCSD) states the probabilistic conditions under which, given a specific portfolio, one risky asset is marginally preferred to another by all risk-averse investors. Furthermore, by increasing the share of dominating assets and reducing the share of dominated assets one can improve the portfolio performance for all these investors. We use this standard MCSD model sequentially to build optimal portfolios that are then compared to the optimal portfolios obtained from Chow's MCSD statistical test model. These portfolios are furthermore compared to the portfolios obtained from the recently developed Almost Marginal Conditional Stochastic Dominance (AMCSD) model. The AMCSD model restricts the class of risk-averse investors by not including extreme case utility functions and reducing the incidence of unrealistic behavior under uncertainty. For each model, an algorithm is developed to manage the various dynamic portfolios traded on the New York, Frankfurt, London, and Tel Aviv stock exchanges during the years 2000-2012. The results show how the various MCSD optimal portfolios provide valid investment alternatives to stochastic dominance optimization.MCSD and AMCSD investment models dramatically improve the initial portfolios and accumulate higher returns while the strategy derived from Chow's statistical test performed poorly and did not yield any positive return.
Author: K. Victor Chow
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
A simple statistical test is developed for marginal conditional stochastic dominance (MCSD). The MCSD is an extension of second degree stochastic dominance. As such, without specification of the return-generating process, it can rank securities according to marginal changes of return distributions conditionally to the distribution of the market proxy, thereby, proving a powerful technique for measuring portfolio performance. Although the MCSD test is asymptotic and conservative, under both the hypotheses of homoscedasticity and heteroscedasticity, it has power to detect the dominance alternative for samples with more than 300 observations. For an illustration, the MCSD test is applied to international equity markets. The test is able to show that nine of twenty-eight equity markets are dominated by the world market.
Author: Darinka Dentcheva
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: 陳證安
Publisher:
ISBN:
Category :
Languages : en
Pages : 174
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Author: Milos Kopa
Publisher:
ISBN:
Category :
Languages : en
Pages : 43
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Book Description
An optimization method is developed for constructing investment portfolios which stochastically dominate a given benchmark for all decreasing absolute risk-averse investors, using Quadratic Programming. The method is applied to standard data sets of historical returns of equity price reversal and momentum portfolios. The proposed optimization method improves upon the performance of Mean-Variance optimization by tens to hundreds of basis points per annum, for low to medium risk levels. The improvements critically depend on imposing the complex condition of Decreasing Absolute Risk Aversion in addition to the simpler conditions of global risk aversion and decreasing risk aversion.
Author: Ralf Korn
Publisher: World Scientific
ISBN: 9812385347
Category : Business & Economics
Languages : en
Pages : 352
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Book Description
The focus of the book is the construction of optimal investment strategies in a security market model where the prices follow diffusion processes. It begins by presenting the complete Black-Scholes type model and then moves on to incomplete models and models including constraints and transaction costs. The models and methods presented will include the stochastic control method of Merton, the martingale method of Cox-Huang and Karatzas et al., the log optimal method of Cover and Jamshidian, the value-preserving model of Hellwig etc.
Author: 蔡安玫
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Author: Haim Levy
Publisher: Springer Science & Business Media
ISBN: 0387293116
Category : Business & Economics
Languages : en
Pages : 439
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Book Description
This book is devoted to investment decision-making under uncertainty. The book covers three basic approaches to this process: the stochastic dominance approach; the mean-variance approach; and the non-expected utility approach, focusing on prospect theory and its modified version, cumulative prospect theory. Each approach is discussed and compared. In addition, this volume examines cases in which stochastic dominance rules coincide with the mean-variance rule and considers how contradictions between these two approaches may occur.
Author: Thierry Post
Publisher:
ISBN:
Category :
Languages : en
Pages : 44
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Book Description
This study develops a portfolio optimization method based on the Stochastic Dominance (SD) decision criterion and the Empirical Likelihood (EL) estimation method. SD and EL share a distribution-free assumption framework which allows for dynamic and non-Gaussian multivariate return distributions. The SD/EL method can be implemented using a two-stage procedure which first elicits the implied probabilities using Convex Optimization and subsequently constructs the optimal portfolio using Linear Programming. The solution asymptotically dominates the benchmark and optimizes the goal function in probability, for a class of weakly dependent processes. A Monte Carlo simulation experiment illustrates the improvement in estimation precision using a set of conservative moment conditions about common factors in small samples. In an application to equity industry momentum strategies, SD/EL yields important out-of-sample performance improvements relative to heuristic diversification, Mean-Variance optimization, and a simple 'plug-in' approach.
Author: Yi Fang
Publisher:
ISBN:
Category :
Languages : en
Pages : 20
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Book Description
We propose a novel linear approximation of expected utility. The approximation guides us as we transfer the traditional quadratic dependence of third-order stochastic dominance (TSD) into an equivalent linear system. The finding also shows a dual relationship between traditional low partial moment condition and the efficient condition of Post (2003). Based on the transformation, we develop a linear algorithm of TSD. Furthermore, we refine the "superconvex" TSD of Post and Kopa (2017) and introduce a corresponding linear system. The portfolio optimization performances of various criteria are also investigated.
