Q5) Consumption-Saving ChoiceBased on Abel, Bernanke and Croushore, 10th edition, Chapter 4, Numerical Problems No. 1.A consumer is making saving plans for this year and next. She knows her real income aftertaxes will be $50,000 in both years. Any part of her income saved this year will earn a realinterest rate of 10% between this year and next year. Currently, the consumer has no wealth(no money in the bank or other financial assets, and no debts). There is no uncertainty aboutthe future.a) Formally derive the consumer's intertemporal budget constraint.b) Using the given numerical values rewrite and graph the budget line.c) Find the consumer's PVLR.

Savings is the noticeable piece of pay after all installments for consumption, charge, different…

Answered: A consumer is making saving plans for…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Mary has income of $2000 today and $1000 tomorrow. She can lend and borrow at an interest rate of 20%. There is 10% inflation. Her preferences for intertemporal consumption are represented by the following utility function u(c, c) = min{c1, 2c2} (a) What is her optimal consumption bundle?
Exercise 5.2 Given the intertemporal production possibilities frontier to the right. Point A represents a production combination of present and future goods. Using the point drawing tool, show a production combination consistent with a decrease in the real interest rate. Label this point 'B'. Carefully follow the instructions above and only draw the required object. Selected: Point tool * Delete Clear Futurn Consumption ? • FC₂ (0,9.93) ........... A PC Present Consumption Q Q G Question Help ▼ O
1) Helena earns $2000 this year and will earn $1500 the next year. The interest rate between each year is 10%. She wants to consume the same quantity each year. She wants to have spent all her money by the end of year 2. Warning: each question does build on each other a) How much would she save? How much would she consume? b) If she wins the lottery during the first year, raising her earnings to $10000 this year, how much would she save, how much would she consume? c) If she now wants to consume twice as much in year 1 as she does in year 2, how much would she save, how much would she consume? d) If she now has no preferences about her consumption, but she wants to save $5000 in year 1 (to buy a new car in year 2), how much would she consume in year 1 and year2?
Assume an economy with 1000 consumers. Each consumer has income in the current period of 50 units and future income of 60 units, and pays a lump-sum tax of 10 in the current period and 20 in the future period. The market real interest rate is 8%. Of the 1000 consumers, 500 consume 60 units in the future, while 500 consume 20 units in the future. a) Determine each consumer's current consumption and current saving. b) Determine aggregate private saving, aggregate consumption in each period, government spending in the current and future periods, the current-period government deficit, of the quantity of debt issued by the government in the current period. c) Suppose that current taxes increase to 15 for each consumer. Repeat parts (a) and (b) and explain your results.
Cindy takes a summer job and earns an after-tax income of $5,000. Her living expenses during the summer were $1,000. What was Cindy's saving during the summer and the change, if any, in her wealth? >>> If your answer is negative, include a minus sign. If your answer is positive, do not include a plus sign. Cindy's saving during the summer is $
U = c¹/² + Bc¹²/2 tt+1 A) Suppose that the household faces two within period budget constraints of the form: C++ 1 = Y++1 + (1+r)s Combine the two period budget constraints into one intertemporal budget constraint. B) Use the intertemporal budget constraint and this utility function to derive the Euler equation characterizing an optimal consumption plan. C) Use this Euler equation and the intertemporal budget constraint to derive a consumption function expressing cas a function of Y, Y₁+1, and rt.
Suppose you know the following facts about consumer behavior of Amy in 2019. In a year, Amy spends $10000 on basic household items regardless of how much she is earning. For every dollar of disposable income earned, Amy spends 50% on extra purchases. Amy pays taxes in the amount of $1000, and receives no transfers. Use this information to: Derive Amy’s consumption function in nominal terms. Suppose the price level index in the economy for 2019 is estimated to be P = 2. Rewrite the consumption function in real terms.
Suppose as a hypothetical scenario that you deposit $400 today into a savings account with a variable interest rate and will collect a payment in one year. True or False: If over the course of the year the interest rate falls, this increases the future value of your investment. True False
Consider a two-period consumption saving model and let ci and c2 denote the first and second period consumption, respectively. Assume that the interest rate at which the consumer may lend or borrow is 10%. Suppose that a consumer's utility function is u (C1, c2) = c1 + 20 c2. The consumer first period income is I1 = $100 and the present value of her income stream is $330. (a) What is the optimal consumption stream (consumption bundle) of this consumer? (b) Is this consumer borrower or lender? How much does she borrow or lend? (c) What is the effect of a reduction of the interest rate to 5% on the consumer's optimal first-period saving? (Make sure to take into account the effect of the decline in the interest rate on the present value of the consumer's income stream.)
Suppose that there are T periods to maximize over. Show that the intertemporal budget constraint is Ct+2 Yt+2 Yt+1 (1+r) (1+r)² (1 + r)² Ct + Ct+1 (1 + r) + 2+...+ Ct+T+1 (1+r)² \ T = Yt + + +...+ Yt+T+1 (1+r)
4. Mateo is deciding how many dollars to consume today and how many to consume next week. We earns $1,000 each week and earns a real interest rate of p = 0.01 on any money saved today. He also needs to pay the same interest rate if he borrows money today and repays it next week. If his utility function is U (C₁, C₂) = cc₂, where c₁ is units of consumption today and c₂ is units of consumption next week, how many units will he consume this week?
Consider the problem of an individual that has Y dollars to spend on consuming over two periods. Let c, denote the amount of consumption that the individual would like to purchase in period 1 and c2 denote the amount of consumption that the individual would like to consume in period 2. The individual begins period 1 with Y dollars and can purchase c1 units of the consumption good at a price P and can save any unspent wealth. Use sı to denote the amount of savings the individual chooses to hold at the end of period 1. Any wealth that is saved earns interest at rate r so that the amount of wealth the individual has at his/her disposal to purchase consumption goods in period 2 is (1+r)s1. This principal and interest on savings is used to finance period 2 consumption. Again, for simplicity, we can assume that it costs P2 dollars to buy a unit of the consumption good in period 2. 2 The individual's total happiness is measured by the sum of period utility across time, u(cı) + u(c2). Let u(c)…

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