Assume Marjeri lives for only two periods and has the utility function U(C1, C2) = In C1 + 0.9 In C2 She can save or borrow any amount at an interest rate of 8%. Her income in each period is $10,000. How much should she consume in each period in order to maximize her utility? How much will she save or borrow?
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- Assuming a mix of present and future consumption is preferred, ANY consumer who starts at point A will gain utility from a rise in interest rates. is it true or falseAPPLIED 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 possibleIn the two-period Fisher model of consumption, suppose that the first period income is $5,000 and the second period income is $5,000 for both Matt and Paola. The interest rate is 10 percent. Matt’s lifetime utility function is C1 + C2 while Paola’s lifetime utility function is C1 + 0.8C2. If there is a borrowing constraint, whose consumption is affected by that?
- Suppose that Tyler wants to buy a house and is thinking of using $20,000 that sits in a retirement account for a down payment on this new home. Using the $20,000 as a down payment will reduce Tyler's income when he retires in 30 years. If Tyler can earn an 8%8% annual return on his money if he leaves it in the retirement account, how much will his consumption in retirement be reduced if he uses this money for a down payment now?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 othersEva lives for two periods and wants to have equal consumption in both. Her first period income is $Y subscript 1 and her second period income is $Y subscript 2. The interest rate is 7%. If Y subscript 1 = 81713, and Y subscript Training 2 = 80175, what is her optimal saving?
- Assume an intertemporal budget constraint that shows how consumption can be traded off between two periods, t and t+1. Assume the consumer can save and borrow at the same interest rate of 10%. Assume the consumer collects income of $100 in each period. To gain an extra $10 dollars in period t+1, what must the consumer give up in period t?If Peregrine consumes(1,500,880)and earns(1,300,1,100)and if the interest rate is10%, the present value of his endowment isA 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…
- explain using a two period indifference curve how an individual would respond to an increase in interest rate by increasing or decreasing saving, explain using graphsConsider an economy where individuals live for two periods only. Their utility function over consumption in periods 1 and 2 is given by U = 2 log(C1) + 2 log(C2), where C1 and C2 are period 1 and period 2 consumption levels respectively. They have labor income of $100 in period 1 and labor income of $50 in period 2. They can save as much of their income in period 1 as they like in bank accounts, earning interest rate of 5 percent per period. They have no bequest motive, so they spend all their income before the end of period 2. a. What is each individual’s lifetime budget constraint? If they choose consumption in each period so as to maximize their lifetime utility subject to their lifetime budget constraint, what is the optimal consumption in each period? How much do the consumers save in the first period? b. Suppose that the government introduces a social security system that will take $10 from each individual in period 1, put it in a bank account, and transfer it back to…Empirical evidence suggests that many consumers tend to spend all of their current disposable income immediately. Is this irrational?