A consumer receives income y in the current period and income y' in the future period, and pays taxes of t and t' in the current and future periods, respectively. The consumer can borrow and lend at the real interest rate r. This consumer faces a constraint on how much he or she can borrow, much like the credit limit typically placed on a credit card account. That is, the consumer cannot borrow more than x, where x
A consumer receives income y in the current period and income y' in the future period, and pays taxes of t and t' in the current and future periods, respectively. The consumer can borrow and lend at the real interest rate r. This consumer faces a constraint on how much he or she can borrow, much like the credit limit typically placed on a credit card account. That is, the consumer cannot borrow more than x, where x
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:A consumer receives income y in the current period and income y' in the future period, and pays taxes of t and t' in the
current and future periods, respectively. The consumer can borrow and lend at the real interest rate r. This consumer
faces a constraint on how much he or she can borrow, much like the credit limit typically placed on a credit card account.
That is, the consumer cannot borrow more than x, where x <we-y+t, with we denoting lifetime wealth. Use diagrams to
determine the effects on the consumer's current consumption, future consumption, and saving of a change in x, and
explain your results.
In figure 1 displayed to the right, the lifetime budget constraint is line ABD. The lifetime budget constraint line becomes
vertical at c = x. The consumer in this scenario has an optimal consumption bundle indicated by point H, and the
corresponding indifference curve is l₁. How does a change in x affect current consumption, future consumption, and
savings for the consumer?
An increase in x will result in
▼savings.
current consumption,
An increase in x will result in
▼savings.
future consumption, and
In figure 2 displayed to the right, the original lifetime budget constraint is line ABD. The consumer in this scenario
chooses an optimal consumption bundle at point B, and the corresponding indifference curve is l2. An increase in x
produces the new lifetime budget constraint indicated by line AFG, where G-D=Ax. What are the resulting effects on
the consumer's current consumption, future consumption, and savings?
current consumption,
future consumption, and
a decrease in
no change in
an increase in
Future Consumption, c
Future Consumption, c'
H
B
B
Current Consumption, c
Figure 1
D
D
F
G
Q
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