Despite the developing countries' impressive aggregate growth of the past 25 years, its benefits have only reached the poor to a very limited degree. Not only have the poorest countries grown relatively slowly, but growth processes are such that within most developing countries, the incomes of the poor increase much less than the average. Although many policies have been proposed to counter these trends, little has been done to estimate the possibilities for significantly reducing world poverty within a reasonable period. This paper develops a quantitative framework to project levels of poverty under different assumptions about GNP growth population growth and changes in income distribution. Although the interactions among development processes and policy instruments are not modelled in any detail, the results serve to clarify the nature of the problem. The policy simulations demonstrate that the elimination of absolute poverty by the end of this century is a highly unlikely prospect; even to achieve a substantial reduction will require a combination of policies designed to accelerate the growth of poor countries, to distribute the benefits of growth more equitably, and to reduce population increase. © 1979.