An individual's current income is $50,000 the person expects next period (future) income to be $50,000 as shown in the diagram to the right. 1.) Using the line drawing tool, draw the budget constraint for a real interest rate of 0%. Label this line 'Budget- 2.) Using the line drawing tool, draw the budget constraint for an increase in the interest rate above 0%. Label this line 'Budget₁'. Carefully follow the instructions above, and only draw the required objects. 160- 150- 140- 130- 120- 110- 100- 90- 80- 70- Future Consumption (000)
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- APPLIED ECONOMICS Topic: Intertemporal Choice Levinn’s utility function is expressed as the following: U= C1 C2 0.3 where C1 is his first periodconsumption and C2 is his second period consumption. His income in the first period is$2500 and interest rate is at 10%. If at equilibrium, Levinn is neither a borrower nor a lender,then what is his expected income in the second period? Do not copy from othersexplain using a two period indifference curve how an individual would respond to an increase in interest rate by increasing or decreasing saving, explain using graphsAPPLIED ECONOMICS Topic: Intertemporal Choice Levinn’s utility function is expressed as the following: U= C1 C2 0.3 where C1 is his first periodconsumption and C2 is his second period consumption. His income in the first period is$2500 and interest rate is at 10%. If at equilibrium, Levinn is neither a borrower nor a lender,then what is his expected income in the second period? Show the graph if possible
- A college professor is planning for his retirement years. His utility function is ?(?t , ?r ) = 3c t 0.5+2cr0.5 where ct represents his consumption today (period 1), his active years of teaching, and cr represents his consumption in his retirement years (period 2). During his active years of teaching, he makes a total of ₺3 million, while in his retirement years his total income is ₺1 million. He can borrow or lend at an interest rate of 25% between the two periods. Write an equation that describes the professor’s budget assuming he will spend all his income during his lifetime. If the professor chooses neither to borrow nor to lend during his active years, what will be his marginal rate of substitution between his consumption today and his retirement years? If the professor aims at maximizing his utility, how much does he consume in each period (use the Lagrangian method)? Does he save for his retirement years? If so, how much? At what interest rate would the professor…A consumer's current income (y) is 200 and the future income ( t.') is 240. A current lump sum tax (t) of 10 is paid and the tax in the next period (t) is 15. The real interest rate is 20% for each period. Please assume that current and future consumption are complements. and the consumer always prefers to have one unit of current consumption and two units of consumption in the future. Calculate the optimal current and future consumption and the optimal current and future savings. Is the consumer a lender or a borrower? How does he she. as a lender or a borrower. affect the future consumption?Suppose a consumer has $1500 in the current time period and $1100 in the future time period.Suppose also that the consumer can borrow and lend freely and, unless otherwise specified, borrowing and lending interest rates are the same. (a) If the interest rate between time periods is 50%, what is the budget constraint between consumption in the present and consumption in the future? (B) If the interest rate at which the consumer can borrow is 75% but the rate at which she can lend is25%, what is the budget constraint? (C) Suppose the interest rate is 50%. If the consumer has to pay a fee of 10% of the loan amount in order to borrow money, what is the budget constraint?
- A consumer's current income (y) is 200 and the future income ( t.') is 240. A current lump sum tax (t) of 10 is paid and the tax in the next period (t') is 15. The real interest rate is 20% for each period. Please assume that current and future consumption are complements. and the consumer always prefers to have one unit of current consumption and two units of consumption in the future.Calculate the consumer's lifetime wealth.Calculate the optimal current and future consumption and the optimal current and future savings. Is the consumer a lender or a borrower? How does he she. as a lender or a borrower. affect the future consumption?A. Given: C = 700 + .80 (1- t)Y, t=0.25 I = 210 -75i; G= 1000; TR=100 L= 0.20Y- 40i ; M/P = 800 Compute: 1. The equilibrium income and the equilibrium interest rateWhich of the following results in an increase in consumers’ lifetime wealth, i.e. an increase in the net presentvalue of lifetime income? (a) Increase in interest rate(b) Decrease in future wages(c) Decrease in interest rate(d) Decrease in current taxes, financed by an increase in future taxes
- Mathematically derive slope of IS curve. Prove that if investment does not depend oni interestrate, the slope of IS curve is infinity.Draw and explain a graph for a two-period consumer. Include the budget line, indifference curve, utility maximization, and all labels. a. Draw the effect of an increase in the interest rate. Show graphically and explain the effect on the level of consumption C1 and C2. b. Why would C1 change? Explain c. Why would C2 change? Explain7 Consider a model in which an individual lives only two periods. This person has diminishing marginal utility of consumption and receives an income of $20,000 in period 1 and an income of $5,000 in period 2. The private interest rate is 10 percent per period, and this person can borrow or lend money at this rate. Also assume that this person intends to consume all of his income over his lifetime. a. Give a hypothetical numerical example of what a person’s optimal consumption would be over these two periods. In answering this question, what assumptions did you make?