An individual lives for 5 years - 4 years of work followedby 1 year of retirement. He earns $25,000 during eachyear of work but $0 during retirement. The interest rateis 5% Assume that the individual wants hisconsumption to be the same in each of the 5 years. a.What utility function would justify this choice ofconsumption pattern? b. Write out the intertemporalbudget constraint in present value form.c. What level ofconsumption does he choose?d. What is the value ofhis assets at the beginning of retirement?

b. The intertemporal budget constraint in present value form, considering the income over the…

Answered: An individual lives for 5 years - 4…

Principles of Economics 2e

2nd Edition

ISBN:9781947172364

Author:Steven A. Greenlaw; David Shapiro

Publisher:Steven A. Greenlaw; David Shapiro

Chapter22: Inflation

Section: Chapter Questions

Problem 4SCQ: Edna is living in a retirement home where home where most of her needs are taken care of, but she...

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3. Consider a society of identical individuals who live for two periods. They have the following utility: In co + 3 5 In ci Each individual earns $600 when young, in period 0, and no income in period 1, when old. They can borrow and lend at interest rate r, and the price of consumption is 1. (a) Write down this individual's lifetime budget constraint (b) Solve for this individual's consumption in period, and savings, as a function of r. (c) Suppose now that there is a Social Security program. The gov- ernment collects $ 60 from this individual in period 0, and gives it back with interest r in period 1. i. What kind of social security system is this? ii. What is the new amount of savings? iii. What is the impact of this program on the individual's wel- fare? (d) Suppose some individuals have utility 1 In co +In c₁ 9 The social security system still forces them to save $60. i. If they are still free to borrow and lend at r, what will their optimal choice of consumption and savings be,…
a) Suppose you put $350 into a bank account today. Interest is paid annually and the annual interest rate is 6 percent. What is the future value of the $350 after 4 years? b) Suppose you are deciding whether to buy a particular bond from your local municipality. If you buy the bond and hold it for 4 years, then at that time you will receive a payment of $10,000. Assume the interest rateis6percent. Underwhatcircumstanceswillyoubuythebond?Meaninguptowhatpriceareyou willing to pay.
6. What is present worth.?
Brian earns income equal to $82,000 in the first period, but his income will drop to $19,170 in the second period. a. Sketch his intertemporal budget constraint, assuming a 6.5% interest rate. Add an indifference curve that assumes he optimally chooses to save $40,000 in the first period. Be sure to CLEARLY graph your answer, with labels on the axes and any other important points. Also show work for any calculations done. b. Show the effect of a 50% tax on interest income, assuming the substitution and income effects cancel each other out. Again, be sure to clearly graph your answer and show work for any calculations done.
Suppose a person lives for 4 periods. His salary during each period of his life is $30, $60, $90 and $0. He was born without any financial wealth. 1. If the interest rate is 8% per period, what is the present value of the income of this agent? 2. If the individual wishes to have a constant consumption during his life, what will it be? Deduct his level of savings during each of the 4 periods of his life. 3. Suppose our individual cannot borrow (but can save). Determine the consumption and savings profile of the individual. 4. Suppose our individual receives an inheritance at birth of $10. How your answer in c) be affected?
Jien is just bored all the time; no amount of success makes him happy, it seems. Below is a list of his income for the last several years and the utility he experienced per dollar of income: Year Yearly Income Utility per Dollar Earned 2017 $60,000 2 utils 2018 $70,000 1.8 2019 $100,000 1.5 2020 $120,000 1 2021 $145,000 0.40 From the above, we can say that Jien most likely is different from most people economists study in terms of risk attitudes is "risk loving" will not take a fair bet has a utility of wealth curve that is a straight line
no chagpt answer urgent. The marginal rate of substitution of current consumption for future consumption is A) the slope of the indifference curve. B) minus the slope of the difference curve. C) the downward slope of the budget constraint. D) the endowment point. E) the slope of the lifetime budget constraint.
ces The following table shows Uma's estimated annual benefits of holding different amounts of money: Total benefit Extra benefit Average money holdings ($) ($) ($) 135 147 500 600 700 800 900 1,000 1,100 1,200 157 165 171 175 177 177 12 10 8 C 4 2 0 Find the extra benefit of each additional $100 in money holdings and complete the table above. Comparing the benefit with the opportunity cost, in terms of forgone interest, how much money will Uma hold on average if the nominal interest rate is 10 percent? 6 percent? 4 percent? Instructions: Assume that Uma wants her money holding to be in a multiple of $100. Uma's average money holdings at: 10 percent: $ 6 percent: $ 4 percent: $
3. Over a two-year period, an individual exhibits the following consumption behavior: P, P, Year 1 3 3 5 Year 2 4 2 Is this behavior consistent with the weak axiom of revealed preference?
Garfield enjoys pizzas and hanging out (leisure). He sleeps 8 hours per day. Of the remaining16 hours, for each hour he chooses to work he gets paid 2 pizzas. Garfield must pay 6 pizzas intaxes but receives dividends equivalent to 6 pizzas.1. Draw Garfield’s budget constraint (put consumption on the vertical axis and leisure of thehorizontal). Make sure to show the vertical and horizontal intercepts as well as the slope.b. Now suppose that Garfield chooses to work 10 hours per day. Find how many hoursof leisure and how many pizzas he will consume.c. Using your answer from b, show Garfield’s optimal point on the budget line and drawthe indifference curve passing from that point.4. Suppose that Garfield’s wage falls to 1 pizza per hour. Draw Garfield’s new budgetconstraint. Make sure to show the value of any intercept that has changed.5. Suppose that in response, Garfield decides to work for 6 hours per day. How much leisurewill he take, and how much pizza will he consume?6. Use an…
The consumer views present and future consumption as perfect complements and would like to consume equal amounts in both periods, i.e., . Suppose, however, that there is a credit market imperfection that prevents this consumer from borrowing at all, i.e., . a. Show the consumer's lifetime budget constraint and indifference curves on a diagram. Note that because the consumer prefers to purchase present and future consumption in equal amounts, the indifference curves will be kinked at. Note also that because the consumer cannot borrow, the budget constraint will be kinked at the consumer's initial endowment. Recall that the budget constraint is given by: Recall also that the consumer's endowment for each period can be expressed as: b. Calculate the consumer's optimal current-period and future-period consumption and optimal saving and show this in your diagram. Does the existence of the credit market imperfection affect the consumer's choices? Recall that savings is given by: c. Suppose…
Garfield enjoys pizzas and hanging out (leisure). He sleeps 8 hours per day. Of the remaining16 hours, for each hour he chooses to work he gets paid 2 pizzas. Garfield must pay 6 pizzas intaxes but receives dividends equivalent to 6 pizzas.1. Draw Garfield’s budget constraint (put consumption on the vertical axis and leisure of thehorizontal). Make sure to show the vertical and horizontal intercepts as well as the slope.b. Now suppose that Garfield chooses to work 10 hours per day. Find how many hoursof leisure and how many pizzas he will consume.c. Using your answer from b, show Garfield’s optimal point on the budget line and drawthe indifference curve passing from that point.4. Suppose that Garfield’s wage falls to 1 pizza per hour. Draw Garfield’s new budgetconstraint. Make sure to show the value of any intercept that has changed.5. Suppose that in response, Garfield decides to work for 6 hours per day. How much leisurewill he take, and how much pizza will he consume?6. Use an…

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