Suppose that permanent income is calculated as the average of income over the past five years; that is, YP = 1/5( Y + Y-1 + Y-2 + Y-3 + Y-4 ) (P1) Suppose further that consumption is given by C = .9 YP. a. If you have earned $20,000 per year for the past 10 years, what is your permanent income? b. Suppose that next year (period t + 1) you earn $30,000. What is your new YP ?

Suppose that permanent income is calculated as the average of income over the past five years; that is, YP = 1/5( Y + Y-1 + Y-2 + Y-3 + Y-4 ) (P1) Suppose further that consumption is given by C = .9 YP. a. If you have earned $20,000 per year for the past 10 years, what is your permanent income? b. Suppose that next year (period t + 1) you earn $30,000. What is your new YP ?

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter17: Capital And Time

Section: Chapter Questions

Problem 17.3P

See similar textbooks

Similar questions

Eva 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?
Consider a perpetuity with a coupon of 100. Imagine that the perpetuity is purchased at time t when the market interest rate is equal to 5%. Furthermore, imagine that the coupon income is taxed at 40% and that capital gains are taxed at 20%. What is the after tax rate of return if the perpetuity is sold at time t+1 when the market interest rate continues to be equal to 5%?
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? 11 10 1 10
investment A promises to pay £500,000 profit at the end of the first year, £550,000 at the end of two years, £600,000 at the end of three years, and £625,000 at the end of four years. Investment B promises to pay £25,000 profit at the end of the first year, £100,000 at the end of two years, £600,000 at the end of the third year, and £1,000,000 at the end of four years. Assume that nine percent per year is an appropriate discount rate for each investment. Also, assume a zero-scrap value for each investment at the end of four years. Determine which investment promises to be the better of the two for the company
Assume a consumer has current-period income y = 200, future-period income y′ = 150, current and future taxes t = 40 and t′ = 50, respectively, and faces a market real interest rate of r = 0.05, or 5% per period. The consumer would like to consume according to the following utility function: U (c, c′ ) = ln(c) + ln(c′ ). Show mathematically the lifetime budget constraint for this consumer. Find the optimal consumption in the current and future periods and optimal saving. Suppose that instead of r = 0.05 the interest rate is r = 0.1. Repeat parts (a) and (b). Does the substitution effect or the income effect dominate?
Q1 4. Suppose you earn same income as one of your cousins but expect to live longer than your cousin, how would your consumption function be different than that of your cousin? Would you consumer more or less than him? 6. Average propensity to consumer along a linear consumption function is always constant; true or false? Justify your response.
True or false Disposable income is the income that remains to the household for the use of consumption after paying all the taxes.
Assume that you are employed by the government of Tanzania in 1964, a new nation recently independent from Britain. The Tanzanian parliament has decided that it will spend 10 million shillings on schools, roads, and healthcare for the year. You estimate that the net taxes for the year are eight million shillings. The difference will be financed by selling 10-year government bonds at 12% interest per year. The interest on outstanding bonds must be added to government expenditure each year. Assume that additional taxes are added to finance this increase in government expenditure so the gap between government spending is always two million. If the school, road, and healthcare budget are unchanged, compute the value of the accumulated debt in 10 years.
Limitless Ltd. is planning to buy a new warehouse to store its production output. The investment would require £500,000 to be paid upfront. Thanks to the new warehouse, the company expects to increase its profits by £120,000 annually for the next five years, and then £60,000 for the following five years. Calculate the Net Present Value (NPV) of this investment opportunity if the cost of capital is 12%. Should Limitless Ltd. go ahead with the purchase of the new warehouse? Explain your reasoning. What is the payback period of this investment? Suppose the Internal Rate of Return (IRR) of this investment opportunity is 15%. Based on this information alone, should Limitless Ltd. make the investment? Why? Would this decision be consistent with that from B? Explain your reasoning. Suppose that, instead of paying the initial £500,000 now, Limitless Ltd. decides to pay it in equal instalments over the next 10 years. How much would the company need to pay each year to make all…
If Net Investment = 0 in a given year, this indicates that we have neither lost nor gained capital. That seems to be a desirable outcome. Do you agree?
In 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?
Which 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