CHAPTER 21 the theOrY OF CONSUMer ChOICe
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consumes nothing when young and $110,000 when old. The budget constraint
shows these and all the intermediate possibilities.
Figure 15 uses indifference curves to represent Saul’s preferences for consump-
tion in the two periods. Because Saul prefers more consumption in both periods,
he prefers points on higher indifference curves to points on lower ones. Given
his preferences, Saul chooses the optimal combination of consumption in both
periods of life, which is the point on the budget constraint that is on the highest
possible indifference curve. At this optimum, Saul consumes $50,000 when young
and $55,000 when old.
Now consider what happens when the interest rate increases from 10 percent
to 20 percent. Figure 16 shows two possible outcomes. In both cases, the budget
constraint shifts outward and becomes steeper. At the new, higher interest rate,
Saul gets more consumption when old for every dollar of consumption that he
gives up when young.
The two panels show the results given different preferences by Saul. In both
cases, consumption when old rises. Yet the response of consumption when young
to the change in the interest rate is different in the two cases. In panel (a), Saul
responds to the higher interest rate by consuming less when young. In panel (b),
Saul responds by consuming more when young.
Saul’s saving is his income when young minus the amount he consumes when
young. In panel (a), an increase in the interest rate reduces consumption when
young, so saving must rise. In panel (b), an increase in the interest rate induces
Saul
to consume more when young, so saving must fall.
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