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A FAST ALGORITHM FOR SOLVING LARGE SCALE MEAN-VARIANCE MODELS BY COMPACT FACTORIZATION OF COVARIANCE MATRICES
11 references·5 citing·32 second hop
A FAST ALGORITHM FOR SOLVING LARGE SCALE MEAN-VARIANCE MODELS BY COMPACT FACTORIZATION OF COVARIANCE MATRICES (1992)A FAST ALGORITHM FOR SOLVING LARGE SCALE …Mean-Absolute Deviation Portfolio Optimization Model and Its Applications to Tokyo Stock Market (1991)Mean-Absolute Deviation Portf…PIECEWISE LINEAR RISK FUNCTION AND PORTFOLIO OPTIMIZATION (1990)PIECEWISE LINEAR RISK FUNCTIO…Mean-Variance Analysis in Portfolio Choice and Capital Markets. (1989)Mean-Variance Analysis in Por…Large-Scale Portfolio Optimization (1984)Large-Scale Portfolio Optimiz…A New and Efficient Algorithm for a Class of Portfolio Selection Problems (1980)A New and Efficient Algorithm…A Linear Programming Formulation of the General Portfolio Selection Problem (1973)A Linear Programming Formulat…Portfolio Theory and Capital Markets. (1972)Portfolio Theory and Capital …A Linear Programming Algorithm for Mutual Fund Portfolio Selection (1967)A Linear Programming Algorith…A Simplified Model for Portfolio Analysis (1963)A Simplified Model for Portfo…Portfolio Selection: Efficient Diversification of Investments. (1962)Portfolio Selection: Efficien…Portfolio Selection: Efficient Diversification of Investments (1959)Portfolio Selection: Efficien…Complex portfolio selection via convex mixed‐integer quadratic programming: a survey (2018)Complex portfolio selection v…Multiobjective portfolio optimization with non-convex policy constraints: Evidence from the Eurostoxx 50 (2012)Multiobjective portfolio opti…The optimal portfolio problem with coherent risk measure constraints (2003)The optimal portfolio problem…Fuzzy Portfolio Model for Decision Making in Investment (2001)Fuzzy Portfolio Model for Dec…An integrated stock-bond portfolio optimization model (1997)An integrated stock-bond port…AN EXTENSION OF THE MARKOWITZ PORTFOLIO SELECTION MODEL TO INCLUDE VARIABLE TRANSACTIONS' COSTS, SHORT SALES, LEVERAGE POLICIES AND TAXES (1970)A Linear Programming Approximation for the General Portfolio Analysis Problem (1971)A heuristic algorithm for a portfolio optimization model applied to the Milan stock market (1996)Handbook of Financial Engineering (2008)Portfolio Analysis in a Stable Paretian Market (1965)Market and Industry Factors in Stock Price Behavior (1966)Mean-Absolute-Deviation Characteristic Lines for Securities and Portfolios (1971)Mutual Fund Performance Evaluation: A Comparison of Benchmarks and Benchmark Comparisons (1987)CAPITAL ASSET PRICES: A THEORY OF MARKET EQUILIBRIUM UNDER CONDITIONS OF RISK* (1964)Modern Portfolio Theory and Investment Analysis. (1982)From stochastic dominance to mean-risk models: Semideviations as risk measures (1999)Heuristics for cardinality constrained portfolio optimisation (2000)Portfolio optimization with conditional value-at-risk objective and constraints (2001)Foundations of Portfolio Theory (1991)Asset pricing with liquidity risk (2005)An Engine, Not a Camera (2006)Performance Hypothesis Testing with the Sharpe and Treynor Measures (1981)The New Institutionalism: Organizational Factors in Political Life (1983)Random matrix approach to cross correlations in financial data (2002)Risk, Return, and Equilibrium: Empirical Tests (1973)The Cross-Section of Expected Stock Returns (1992)Multifactor Explanations of Asset Pricing Anomalies (1996)Markowitz Revisited: Mean-Variance Models in Financial Portfolio Analysis (2001)Simulated annealing for complex portfolio selection problems (2003)Portfolio optimization with linear and fixed transaction costs (2006)THE PERFORMANCE OF MUTUAL FUNDS IN THE PERIOD 1945–1964 (1968)THE VALUATION OF RISK ASSETS AND THE SELECTION OF RISKY INVESTMENTS IN STOCK PORTFOLIOS AND CAPITAL BUDGETS**This paper is another in a series of interrelated theoretical and statistical studies of corporate financial and investment policies being made under grants from the Rockefeller Foundation, and more recently the Ford Foundation, to the Harvard Business School. The generous support for this work is most gratefully acknowledged. The author is also much indebted to his colleagues Professors Bishop, Christenson, Kahr, Raiffa, and (especially) Schlaifer, for extensive discussion and commentary on an earlier draft of this paper; but responsibility for any errors or imperfections remains strictly his own.[Professor Sharpe's paper, “Capital Asset Prices: A Theory of Market Equilibrium Under Conditions of Risk” (Journal of Finance, September 1964) appeared after this paper was in final form and on its way to the printers. My first section, which parallels the first half of his paper (with corresponding conclusions), sets the algebraic framework for sections II, III and VI, (which have no counterpart in his paper) and for section IV on the equilibrium prices of risk assets, concerning which our results differ significantly for reasons which will be explored elsewhere. Sharpe does not take up the capital budgeting problem developed in section V below.] (1975)The Adjustment of Stock Prices to New Information (2003)EFFICIENT CAPITAL MARKETS: A REVIEW OF THEORY AND EMPIRICAL WORK* (1970)Portfolio Optimization Under a Minimax Rule (2000)LP solvable models for portfolio optimization: a classification and computational comparison (2003)A mixed integer linear programming formulation of the optimal mean/Value-at-Risk portfolio problem (2005)
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References

  • 1959Portfolio Selection: Efficient Diversification of Investments5,535 cited
  • 1962Portfolio Selection: Efficient Diversification of Investments.3,621 cited
  • 1963A Simplified Model for Portfolio Analysis2,740 cited
  • 1991Mean-Absolute Deviation Portfolio Optimization Model and Its Applications to Tokyo Stock Market1,516 cited
  • 1972Portfolio Theory and Capital Markets.1,221 cited
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  • 1984Large-Scale Portfolio Optimization416 cited
  • 1967A Linear Programming Algorithm for Mutual Fund Portfolio Selection190 cited
  • 1990PIECEWISE LINEAR RISK FUNCTION AND PORTFOLIO OPTIMIZATION173 cited
  • 1973A Linear Programming Formulation of the General Portfolio Selection Problem153 cited
  • 1980A New and Efficient Algorithm for a Class of Portfolio Selection Problems112 cited

Cited by

  • 2003The optimal portfolio problem with coherent risk measure constraints57 cited
  • 2001Fuzzy Portfolio Model for Decision Making in Investment43 cited
  • 1997An integrated stock-bond portfolio optimization model35 cited
  • 2018Complex portfolio selection via convex mixed‐integer quadratic programming: a survey

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33 cited
  • 2012Multiobjective portfolio optimization with non-convex policy constraints: Evidence from the Eurostoxx 5030 cited