2. Consider an overlapping generations model with a pay-as-you-go pension system. The government collects the contributions from young generation and transfers them to old generation. d is the contribution from a young person to the pension system. b is the benefit received by old person. (a) Derive the following intertemporal budget constraint, b 1 + rt+1 C₁t + C2t+1 1 + rt+1 = W₂ - d + (b) Derive the following saving function, 1 St= -(wt - d) — 2+p 1+p (2 + p)(1 + rt+1) ·bl

2. Consider an overlapping generations model with a pay-as-you-go pension system. The government collects the contributions from young generation and transfers them to old generation. d is the contribution from a young person to the pension system. b is the benefit received by old person. (a) Derive the following intertemporal budget constraint, b 1 + rt+1 C₁t + C2t+1 1 + rt+1 = W₂ - d + (b) Derive the following saving function, 1 St= -(wt - d) — 2+p 1+p (2 + p)(1 + rt+1) ·bl

Exploring Economics

8th Edition

ISBN:9781544336329

Author:Robert L. Sexton

Publisher:Robert L. Sexton

Chapter21: Financial Markets, Saving, And Investment

Section: Chapter Questions

Problem 9P

See similar textbooks

Similar questions

Geometric gradient. C.1.) A graduating class of civil engineers decides they will present the engineering college with a gift of $100,000 at their twenty-fifth reunion. There are 50 in the class and they can invest at 8 percent. They plan to start out giving a small amount at the end of the first year and in- crease their gifts to the class fund by 10 percent each year. Find the amount each graduate would donate at the end of the first year in order to reach their class goal of $100,000 at the end of 25 years. (Ans. C= $10.03)
If the supply of loanable funds decreases and the demand for loanable funds increases at the same time, interest rates will: a) increase, decrease, or remain the same. Ob) increase. c) remain the same. d) decrease. Note:- Please avoid using ChatGPT and refrain from providing handwritten solutions; otherwise, I will definitely give a downvote. Also, be mindful of plagiarism. Answer completely and accurate answer. Rest assured, you will receive an upvote if the answer is accurate.
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…
Suppose Tom is 20 years old. He works till 50 years old, retire, and live up to 80 years old. While working, Tom's job pays a month income of $2000/month. There's no income or pension after retirement. (Also ignore any medical expense or existing debt). If beta=1 and i=0%, then Tom's month spending = $______/month. Hint: you can calculate how many years Tom will be earning the income, and how many years Tom need to spend the income.
Consider the results in Table 3. What is the predicted home size of a householdcomposed of 5 members, renting, and with annual net income equal to 37,150 euros?How does it differ from the predicted home size of a household composed of 1member, owning, and with annual net income equal to 37,150 euros?
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?
14. To use the Net Present Value (NPV) method of capital budgeting, one could calculate the present value of all the future net cash flows of an investment discounted at its cost of capital, and then subtract which one of the following? OA. The salvage value OB. The present value of the salvage value OC. The initial cost of the investment OD. The initial cost of the investment less the present value of the salvage value
3. Suppose we are in a society where the social rate of time preference is 5% per year. The discount rate of utility is 3.5% per year, and the elasticity of marginal utility of consumption is 1.25. A. What is the assumed growth rate of future consumption under this scenario? B. Now assume the social rate of time preference changes to 10% while all else stays the same. What is the assumed new growth rate of future consumption? C. What does a SRTP of 5% mean compared to a SRTP of 10%? D. Why does the growth rate of future consumption change from one scenario to the other? Answer C & D
3. Suppose we are in a society where the social rate of time preference is 5% per year. The discount rate of utility is 3.5% per year, and the elasticity of marginal utility of consumption is 1.25. A. What is the assumed growth rate of future consumption under this scenario? B. Now assume the social rate of time preference changes to 10% while all else stays the same. What is the assumed new growth rate of future consumption? C. What does a SRTP of 5% mean compared to a SRTP of 10%? D. Why does the growth rate of future consumption change from one scenario to the other? ( If you Answer allow the above I will upvot definitely . ) Thank you
Define the gradient-series present-worth factor?
Assume that an individual expects to work for 40 years andthen retire with a life expectancy of an additional 20 years.Suppose also that the individual’s earnings increase at a rateof 3 percent per year and that the interest rate is also 3 percent(the overall price level is constant in this problem). What(constant) fraction of income must the individual save ineach working year to be able to finance a level of retirementincome equal to 60 percent of earnings in the year just priorto retirement?
Algebra i * X.5 Exponential growth and decay: word problems UKG Leo has $7 in a savings account. The interest rate is 5%, compounded annually. To the nearest cent, how much interest will he earn in 2 years? Submit Work it out Not feeling ready yet? These can help: Evaluate an exponential function Percent of a number: tax, discount