Assume a consumer who has current period income y = 200 , future-period income y' = 150, current and future taxes t = 40 and t' = 50, respectively and faces a market real interest rate ofr 005, or 5% per period. The consumer would like to consume equal amounts in both periods, that is, he or she would like to set c = c', if possible. However, this consumer is a faced with a credit market imperfections, in that he or she cannot borrow at all, that is, s>or=20. (a) Show the consumer's lifetime budget constraint and indifference curves in a diagram. Calculate his or her optimal current period and future-period consumption and optimal, saving, and show this in your diagram. (b) Suppose that everything remains unchanged. except that now t = 20 and t' = 71. Calculate the effects on current and future con sumption and optimal saving, and show this in your diagram (d) Now, suppose alternatively that y = 100. Repeat parts (a) and (b), and explain any differences.
Assume a consumer who has current period income y = 200 , future-period income y' = 150, current and future taxes t = 40 and t' = 50, respectively and faces a market real interest rate ofr 005, or 5% per period. The consumer would like to consume equal amounts in both periods, that is, he or she would like to set c = c', if possible. However, this consumer is a faced with a credit market imperfections, in that he or she cannot borrow at all, that is, s>or=20.
(a) Show the consumer's lifetime budget constraint and indifference
(b) Suppose that everything remains unchanged. except that now t = 20 and t' = 71. Calculate the effects on current and future con sumption and optimal saving, and show this in your diagram
(d) Now, suppose alternatively that y = 100. Repeat parts (a) and (b), and explain any differences.
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