A household has $6 in wealth, which allocates between consumption and savings. The MB from consumption is If the interest rate is currently $1.96, 1.45, 1.31, 1.21, 1.13 and 1.07 from the 1st, 2nd..... unit of consumption C. 10%, then the household's optimal consumption would be
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- 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 graphsAPPLIED 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 possibleAPPLIED 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 others
- A 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…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?Samantha Smoothie’s utility function is U(c1, c2) = c1c2, where c1 is her consumption in period 1 and c2 is her consumption in period 2. She earns $200 in period 1 and $220 in period 2. Samantha can borrow and lend at an interest rate of 10% and there is no inflation. The number of dollars that Samantha spends in the second period must be (C) a. more than 200 but less than 220. b. exactly 220. c. more than 220. d. exactly 200. e. less than 200.
- The following set of equations describe an economy:C= 15,000 + 0.75(Y – T) – 45,000rIp= 10,000 – 22,500rG= 8,200NX= 1,800T= 8,500Y*= 82,100Find PAE equation and what should be the interest rate to eliminate the outputgap.Suppose a handbill publisher can buy a new duplicating machine for $500 and the duplicator has a 1-year life. The machine is expected to contribute $550 to the year’s net revenue. What is the expected rate of return? If the real interest rate at which funds can be borrowed to purchase the machine is 8 percent, will the publisher choose to invest in the machine? Explain.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
- Suppose a consumer has $1500 in the current time period and $1100 in the future time period.Suppose also that the consumer can borrow and lend freely and, unless otherwise specified, borrowing and lending interest rates are the same. (a) If the interest rate between time periods is 50%, what is the budget constraint between consumption in the present and consumption in the future? (B) If the interest rate at which the consumer can borrow is 75% but the rate at which she can lend is25%, what is the budget constraint? (C) Suppose the interest rate is 50%. If the consumer has to pay a fee of 10% of the loan amount in order to borrow money, what is the budget constraint?A consumer's current income (y) is 200 and the future income ( t.') is 240. A current lump sum tax (t) of 10 is paid and the tax in the next period (t') is 15. The real interest rate is 20% for each period. Please assume that current and future consumption are complements. and the consumer always prefers to have one unit of current consumption and two units of consumption in the future.Calculate the consumer's lifetime wealth.Calculate the optimal current and future consumption and the optimal current and future savings. Is the consumer a lender or a borrower? How does he she. as a lender or a borrower. affect the future consumption?If Evan's income is reduced to zero after he loses his job, his consumption will be ________ and his saving will be ________. a.greater than zero; less than zero b.greater than zero; greater than zero c.less than zero; greater than zero d.less than zero; less than zero
