Portfolio selection in a lognormal securities market

Conclusion This paper, therefore, once again establishes the usefulness of the two parameter distributions in the analysis of portfolio selection and taxation. Assuming a lognormal securities market and a chance-constrained portfolio choice model, we derive the well known results of portfolio separation and the effects of taxation which were earlier obtained under more restrictive mean-variance assumptions.This paper, an earlier version of which was presented at the 8th International Symposium on Mathematical Programming, Stanford University, August 27–31, 1973, is based on a chapter of the author's Ph. D. thesis (Ahsan, 1974). The author is grateful to S. Ahmad, A. B. Atkinson, C. J. Bliss, D. W. Butterfield, A. L. Robb, T. Russell and W. M. Scarth for helpful comments.