Description: Evidence is building from the physical sciences that we are starting to reach some of earth’s limits. Unless we can find some technological solutions, once these limits are reached, we can expect to see a very changed world. Instead of having constantly increasing resources available to us, we can expect ever-decreasing resources to be available. Instead of seeing year after year of growth, increasing longevity and improving morbidity, we can expect the opposite.

Description: In this paper we investigate three investment-consumption problems for a risk averse investor: i an investment only problem that involves utility from only terminal wealth, ii an investment-consumption problem that involves utility from only consumption, and iii an extended investment-consumption problem that involves utility from both consumption and terminal wealth. We model these problems under a multiperiod setup that incorporates three types of uncertainties: the economic environment uncertainty, the asset return uncertainty, and the mortality uncertainty. By using dynamic programming, analytical expressions of the optimal investment consumption strategies to these problems are derived. Some economic implications on these results are also discussed.