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Solving Nonlinear Programming Problems with Stochastic Objective Functions
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Solving Nonlinear Programming Problems with Stochastic Objective Functions (1972)Solving Nonlinear Programming Problems wi…Linear Programming Under Uncertainty (2004)Linear Programming Under Unce…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 VALUATION OF RISK ASSETS …The Evaluation of Risky Interrelated Investments (1973)The Evaluation of Risky Inter…Utility Theory for Decision Making (1971)Utility Theory for Decision M…The Fundamental Approximation Theorem of Portfolio Analysis in terms of Means, Variances and Higher Moments (1970)The Fundamental Approximation…Computational Algorithms for Convex Stochastic Programs with Simple Recourse (1970)Computational Algorithms for …Stochastic Programming with Aspiration or Fractile Criteria (1967)Stochastic Programming with A…General Proof that Diversification Pays (1967)General Proof that Diversific…Programming under uncertainty: The complete problem (1966)Programming under uncertainty…Inequalities for Stochastic Nonlinear Programming Problems (1964)Inequalities for Stochastic N…A Stochastic Programming Model (1963)A Stochastic Programming ModelInequalities for Stochastic Linear Programming Problems (1960)Inequalities for Stochastic L…Cardinal Utility, Portfolio Selection and Taxation (1960)Cardinal Utility, Portfolio S…Allocation under Uncertainty when the Demand has Continuous D.F. 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References

  • 1975THE 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.]6,743 cited
  • 1958Liquidity Preference as Behavior Towards Risk3,916 cited
  • 1971Utility Theory for Decision Making2,460 cited
  • 2004Linear Programming Under Uncertainty1,173 cited
  • 1970The Fundamental Approximation Theorem of Portfolio Analysis in terms of Means, Variances and Higher Moments731 cited
  • 1956The Introduction of Risk into a Programming Model614 cited
  • 1963A Stochastic Programming Model575 cited
  • 1967General Proof that Diversification Pays377 cited
  • 1960Inequalities for Stochastic Linear Programming Problems261 cited

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  • 1973The Evaluation of Risky Interrelated Investments118 cited
  • 1967Stochastic Programming with Aspiration or Fractile Criteria103 cited
  • 1966Programming under uncertainty: The complete problem93 cited
  • 1960Cardinal Utility, Portfolio Selection and Taxation78 cited
  • 1964Inequalities for Stochastic Nonlinear Programming Problems67 cited
  • 1960Allocation under Uncertainty when the Demand has Continuous D.F.43 cited
  • 1970Computational Algorithms for Convex Stochastic Programs with Simple Recourse42 cited
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