Portfolio Selection: Efficient Diversification of Investments Abstract Preliminary Pages [i-xii] PART I. Introduction and Illustrations 1 Introduction [3] 2 Illustrative Portfolio Analyses [8] PART II. Relationships between Securities and Portfolios 3 Averages and Expected Values [37] 4 Standard Deviations and Variances [72] 5 Investment in Large Numbers of Securities [102] 6 Return in the Long Run [116] PART III. Efficient Portfolios 7 Geometric Analysis of Efficient Sets [129] 8 Derivation of E, V Efficient Portfolios [154] 9 The Semi-Variance [188] PART IV. Rational Choice under Uncertainty 10 The Expected Utility Maxim [205] 11 Utility Analysis over Time [243] 12 Probability Beliefs [257] 13 Applications to Portfolio Selection [274] Bibliography [305] Appendices [309] A The Computation of Efficient Sets B A Simplex Method for Portfolio Selection C Alternative Axiom Systems for Expected Utility Index [341] DocumentControlNumber(s) CFM 16 Author(s) Harry M. Markowitz & John Wiley & Sons Publication Date January 1959