Suppose an individual has a lifetime earnings profile and expects to live for 4 Periods:
Earnings in Period 1: $30
Earnings in Period 2: $60
Earnings in Period 3: $90
Earnings in Period 4: $0
a. Determine the level of consumption, consistent with the budget constraint, for someone who prefers an even (smooth) level of consumption throughout their life-cycle. That is, under these assumptions indicate the amount of consumption per period. Also, indicate the periods in which the individual saves and dissaves, and the dollar amount of saving or dissaving.
b. Now assume the opposite of part (a) where there is no possibility of borrowing. Under this assumption, what is the level of consumption during each period of the life-cycle still assuming the individual (when possible) wishes to smooth out consumption.