Portfolio Optimization with DARA Stochastic Dominance Constraints PDF Download
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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: 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: Darinka Dentcheva
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Andrey M. Lizyayev
Publisher: Rozenberg Publishers
ISBN: 9036101875
Category :
Languages : en
Pages : 136
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Author: 陳證安
Publisher:
ISBN:
Category :
Languages : en
Pages : 174
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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.
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: G. A. Whitmore
Publisher:
ISBN:
Category : Business & Economics
Languages : en
Pages : 424
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Book Description
Theoretical foundations of stochastic dominance; Portfolio applications: empirical studies; Portfolio applications: computational aspects; Applications to financial management and capital markets; Applications in economic theory and analysis.
Author: Thierry Post
Publisher:
ISBN:
Category :
Languages : en
Pages : 31
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Book Description
We develop an optimization method for constructing investment portfolios that dominate a given benchmark index in terms of third-degree stochastic dominance. Our approach relies on the properties of the semivariance function, a refinement of an existing 'super-convex' dominance condition and quadratic constrained programming. We apply our method to historical stock market data using an industry momentum strategy. Our enhanced portfolio generates important performance improvements compared with alternatives based on mean-variance dominance and second-degree stochastic dominance. Relative to the CSRP all-share index, our portfolio increases average out-of-sample return by almost seven percentage points per annum without incurring more downside risk, using quarterly rebalancing and without short selling.
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: Philippe Johannes Petrus Marie Versijp
Publisher: Rozenberg Publishers
ISBN: 9051709358
Category :
Languages : en
Pages : 128
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Book Description
