borrowers and lenders, where we have the following assumptions: . . . Consumer lives for 2 periods; endowment in period 1 and 2 are y and y' respectively, and pays taxes t and t' in period 1 and 2 respectively. Consume c today and c' tomorrow Assume that lenders can lend at a lower interest rate than the one faced by borrowers; lend at r, borrow at ₂:₂ >r, r₂-r₁: spread arises for compensating the bank for costs of making loans; information asymmetries
borrowers and lenders, where we have the following assumptions: . . . Consumer lives for 2 periods; endowment in period 1 and 2 are y and y' respectively, and pays taxes t and t' in period 1 and 2 respectively. Consume c today and c' tomorrow Assume that lenders can lend at a lower interest rate than the one faced by borrowers; lend at r, borrow at ₂:₂ >r, r₂-r₁: spread arises for compensating the bank for costs of making loans; information asymmetries
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Question
![5. Recall the 2-period consumption-borrowing model with imperfect information between
borrowers and lenders, where we have the following assumptions:
.
Consumer lives for 2 periods; endowment in period 1 and 2 are y and y'
respectively, and pays taxes t and t' in period 1 and 2 respectively.
Consume c today and c' tomorrow
Assume that lenders can lend at a lower interest rate than the one faced by
borrowers; lend at r₁, borrow at ₂:₂ >r,
2
: spread arises for compensating the bank for costs of making loans;
information asymmetries
r
Start at a consumption point were a consumer is facing a borrowing constraint, and as such
consumes their initial endowment. Now suppose that there is a drop in taxes today. Show
graphically what happens to the utility of this person before and after the tax decrease.
zha 5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8717f613-9415-441b-8797-c1359c101645%2Fc58390e2-735b-4d09-b1af-97763edbf5ef%2Flrupsqo_processed.png&w=3840&q=75)
Transcribed Image Text:5. Recall the 2-period consumption-borrowing model with imperfect information between
borrowers and lenders, where we have the following assumptions:
.
Consumer lives for 2 periods; endowment in period 1 and 2 are y and y'
respectively, and pays taxes t and t' in period 1 and 2 respectively.
Consume c today and c' tomorrow
Assume that lenders can lend at a lower interest rate than the one faced by
borrowers; lend at r₁, borrow at ₂:₂ >r,
2
: spread arises for compensating the bank for costs of making loans;
information asymmetries
r
Start at a consumption point were a consumer is facing a borrowing constraint, and as such
consumes their initial endowment. Now suppose that there is a drop in taxes today. Show
graphically what happens to the utility of this person before and after the tax decrease.
zha 5
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