376 ❖ Chapter 21/The Theory of Consumer Choice
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b. If Saul saves nothing, he will consume $100,000 when he is young and zero when he is
old. Likewise, if he consumes nothing when he is young, he will be able to consume
$110,000 when he is old.
5. Saul’s optimum occurs where his highest possible indifference curve is tangent to his budget
constraint.
6. If the interest rate rises to 20 percent, two possible outcomes could occur.
b. Because the increase in the interest rate means an increase in purchasing power, the
income effect suggests that Saul increase his consumption of normal goods. Because
c. Thus, the end result will depend on whether the income effect or the substitution effect
dominates. If the substitution effect is larger than the income effect, Saul will save more
when young.
7. Because of this ambiguity, it is not clear how changing the way interest income is taxed will
affect overall savings rates.
SOLUTIONS TO TEXT PROBLEMS:
Quick Quizzes
1. A person with an income of $1,000 could purchase $1,000/$5 = 200 liters of Pepsi if she
spent all of her income on Pepsi or she could purchase $1,000/$10 = 100 pizzas if she spent
all of her income on pizza. Thus, the point representing 200 liters of Pepsi and no pizzas is
the vertical intercept and the point representing 100 pizzas and no Pepsi is the horizontal
intercept of the budget constraint, as shown in Figure 1. The slope of the budget constraint
is the rise over the run, or –200/100 = –2.