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A: Solution is given:
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A: (Q) Calculate the value of change in consumption if a change in income is $2200 and MPC is 0.34
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- Determine the equilibrium income y and interest rate r,given the following information about the commodity market C=0.6Y+60 I=-40r+1300 Where C and I dwnote consumption and planned invesment ,respectively,and the following information about the money market Ms=600L1=0,2y L2=-30r+40Consider an individual who lives for two periods and has utility of lifetime consumption U = log(C1) + 1/1+δ log(C2), where C1 and C2 are the consumption levels in the first and second period respectively, and δ, 0 1 > 0 in the first period and no income in the second period, so Y2 = 0. He can transfer some income to the second period at a before-tax rate of return of r, so saving $S in the first period gives $[1 + r]S in the second period. The government levies a capital tax at rate τ on capital income received in the second period. The tax proceeds are paid as a lump-sum transfer to the following generation. The present generation does not care about the next one. a. What is the lifetime consumption profile of this individual? What is his lifetime indirect utility function expressed as a function of Y1 and b. Evaluate the change in initial income Y1 that is required to compensate the individual for the welfare loss due to the capital income tax τ. c. What is…A consumer's current income (y) is 200 and the future income ( t.') is 240. A current lump sum tax (t) of 10 is paid and the tax in the next period (t') is 15. The real interest rate is 20% for each period. Please assume that current and future consumption are complements. and the consumer always prefers to have one unit of current consumption and two units of consumption in the future.Calculate the consumer's lifetime wealth.Calculate the optimal current and future consumption and the optimal current and future savings. Is the consumer a lender or a borrower? How does he she. as a lender or a borrower. affect the future consumption?
- Please no written by hand solutions Data on before-tax income, taxes paid and consumption spending (on domestic goods and services) for the Simpson family in various years are given below. BEFORE-TAX INCOME ($) TAX PAID ($) CONSUMPTION SPENDING ($) 3000 3500 3700 4000 25 000 27 000 28 000 30 000 20 000 21 350 22 070 23 600 a. Graph the Simpsons's consumption function and find their household's marginal propensity to consume. b. How much would you expect the Simpsons to consume if their income was $32 000 and they paid taxes of $5000? c. Homer Simpson wins a lottery prize. As a result, the Simpson family increases its consumption by $1000 at each level of after-tax income. ('Income' does not include the prize money.) How does this change affect the graph of their consumption function? How does it affect their marginal propensity to consume?Consider the following 2-period model U(C1,C2) = min{3C1,4C2} C1 + S = Y1 – T1 C2 = Y2 – T2 + (1+r)S Where C1 : first period consumption C2 : second period consumption S : first period saving Y1 = 20 : first period income T1 = 5 : first period lump-sum tax Y2 = 50 : second period income T2 = 10 : second period lump-sum tax r = 0.05 : real interest rate Find the optimal saving, S*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 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?
- During the 2007–2009 recession, the value of commonstocks in real terms fell by more than 50%. How mightthis decline in the stock market have affected aggregatedemand and thus contributed to the severity of therecession? Be specific about the mechanisms throughwhich the stock market decline affected the economy.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 taxesConsider an economy with two periods (interpreted as “when young” and “when old” periods)and two consumers, Gillian Davis and Joana Wolinsky. Gillian is a star ballet dancer with a lifetime income given by ωG= (400,0). Joana is an Econ Ph.D. student with incomeωJ= (0,400). Gillian and Joana have identical utility functions given by Ui(x1,x2) = 6 lnx1+ 3 lnx2 for i=G, J a) Plot an Edgeworth box and mark the initial endowment point. b) Write the general definition of Pareto efficient allocation (one sentence) and give the equivalent condition in terms of MRS (give formula). Check if this condition is satisfied for initial endowments. c) Derive the contract curve (write down the appropriate conditions and solve for the curve) and depict it in the Edgeworth box. d) Suppose Gillian and Joana can “trade” consumption in both periods at pricesp1,p2. Find the competitive equilibrium (6 numbers) and depict the equilibrium allocation in the Edgeworth box. e) Using the MRS condition from part b),…
- A consumer's income in the current period is y = 100 and income in the future period is y'= 120. He or she pays lump-sum taxes t=20 in the current period and t'= 10 in the future period. The real interest rate is 0.1, or 10%, per period. (a) Determine the consumer's lifetime wealth. (b) Suppose that current and future consumptions are perfect complements for the con sumer and that he or she always wants to have equal consumption in the current and future periods. Draw the consumer's indiffer ence curves. (c) Determine what the consumer's optimal current-period and future-period consump tions are, and what optimal saving is, and show this in a diagram with the consumer's budget constraint and indifference curves. Is the consumer a lender or a borrower?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.We consider a two-periodendowmenteconomy. Suppose you have the following utility function U (c , c ′)=lnc +βlnc ′ where c and c ′ refer to consumption in the first and second periods, respectively, and β =0.5. The household income in the first and second periods is denoted by y and y ′. Assumegovernment collects lump-sum tax in both periods (T, T ′)to finance the public spending inboth periods (G , G ′)and issue bonds B in the first period. A real net interest rate r is 1. 1. Write down the household’s problem. Does the household perfectly smooth their con-sumption over lifetime? Show it using the optimality condition. 2. Solve for optimal c , c ′ and s (saving) when y −T > y ′−T ′. 3. Given the conditions in part (2), there is an increase in future income y ′ such that y −T =y ′−T ′. Find new optimal c , c ′ and s . Explain how c , c ′ and s change compared to part(2). 4. Focusing on part (3),(a) Suppose that the government increases T by a small amount and decreases T ′ bythe…