A.D.Roy's (1952) safety first (SF) approach to a financial portfolio selection is improved. Safety first means minimization of probability of poor returns. Improvement concerns a better estimation of the poor return probabilities by means of shortfall risk functions. Optimal SF-portfolio is sought similar to Roy's geometric method but with a different efficient frontier. In case of a finite number of yield scenarios the SF-portfolio selection problem is reduced to a linear mixed-Boolean programming one.
Citation
V.I. Norkin and S.V. Boyko. Safety-First Portfolio Selection. Cybernetics and Systems Analysis, Vol. 48, No. 2, 2012, pp. 180-191.