A consumer's income in the current period is y = 100 and income in the future period is y'= 120. He or she pays lump-sum taxes t=20 in the current period and t'= 10 in the future period. The real interest rate is 0.1, or 10%, per period. (a) Determine what the consumer's optimal current-period and future-period consump tions are, and what optimal saving is, and show this in a diagram with the consumer's budget constraint and indifference curves. Is the consumer a lender or a borrower? (b) Now suppose that instead of y = 100 the consumer has y = 140 Again, determine optimal consumption in the current and future periods and optimal saving, and show this in a dia gram. Is the consumer a lender or a borrower? (c) Explain the differences in your results be tween parts (a) and (b).
A consumer's income in the current period is y = 100 and income in the future period is y'= 120. He or she pays lump-sum taxes t=20 in the current period and t'= 10 in the future period. The real interest rate is 0.1, or 10%, per period.
(a) Determine what the consumer's optimal current-period and future-period consump tions are, and what optimal saving is, and show this in a diagram with the consumer's budget constraint and indifference
(b) Now suppose that instead of y = 100 the consumer has y = 140 Again, determine optimal consumption in the current and future periods and optimal saving, and show this in a dia gram. Is the consumer a lender or a borrower?
(c) Explain the differences in your results be tween parts (a) and (b).
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