Consider this economy: C = 100 +0.5Y |= 400 + 0.1Y Drag and drop options on the right-hand side and submit. For keyboard navigation. SHOW MORE v = 2 Marginal propensity to consume 1000 Multiplier 0.5 Income of equilibrium 500 Consumption ofequilibrium 1250 Investment of equilibrium 三 2.5 II
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- ) Consider the following closed economy SImodel set upY = 18000C = 300 + 0.8(Y − 2500)I = 3500 − 400(r)G = 3000T = 2500(a) Compute the impact on r and I, if Gincreases by 500.(b) Compute the impact on r and I, if Gincreases by 500.(c) Compute the impact on r and I, if bothG and T increase by 500.When AP L is positive but declining, the MP L could be (i) declining (ii) zero (iii) negative or (iv) any of them. Which one is the correct alternatives? Explain with diagram.The neoclassical consumption model, a retirement perspective: Consider thespecial case solved in the text where ! = 1 and utility takes the log form.Suppose the real interest rate is 5 percent. Let’s give this consumer a fnancial profle that might look like that of a middle-aged college professor contem-plating retirement: initial assets are ftoday = $50,000, and the path for labor income is ytoday = $100,000 and yfuture = $10,000.(a) What is the individual’s human wealth? Total wealth?
- Exercise D25 What role does government play in stabilizing the economy and what are the tradeoffs that must be considered?If C = 12 + 4/5Y, I = 20, what is the values the marginal propensity to save? What is equilibrium level of Y? Show that in equilibrium S = I.Consider the intertemporal consumption problem of Mr Cronus between two periods, say this yearand next year. His utility function takes the form U (c1; c2) = pc1 +0:97pc2, where c1 and c2 arehis consumption this and next year respectively. It can be shown (and you do not have to) thatthis utility function satis es diminishing marginal rate of substitution.His yearly income is stable at 100 unit (let say a unit is ten-thousand). He faces di¤erent interestrates between borrowing and saving. Speci cally, the saving interest rate is 0:02, whereas theborrowing interest rate is 0:04.(a) Describe the budget set facing Mr Cronus.(b) Is Mr Cronus a borrower? Explain your answer.(c) Is Mr Cronus a saver? Explain your answer.
- (50 points) Consider the two-period economy with investment discussed in class. Forthe sake of simplicity, assume that the utility is time separable and that the per-periodutility is equal to:u(C) = log CAssume also that the technology to produce the consumption goods has constant returns to scale. Moreover, capital is the only input to production. Hence the currentperiod technology can be represented as:Y = zK1where Y , K, and z stand for output, capital and total factor productivity in the currentperiod. The future period technology is akin to the current period technology. There isno government expenditure in the current and future period so that G = 0 and G0 = 0.Finally there is full capital depreciation, namely δ = 1.(a) (10 points) Write down the social planner’s problem. State the variables withrespect to which the social planner maximises.(b) (10 points) Derive the first order conditions to the planner problem. Rearrangethere condition to find the conditions characterising the…Equation for consumption is C=40/(0.8Y) where Y= yearly income = $400. The marginal propensity to consume is _______?Please no written by hand solutions Data on before-tax income, taxes paid and consumption spending (on domestic goods and services) for the Simpson family in various years are given below. BEFORE-TAX INCOME ($) 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?
- QUESTION 1An individual lives for two periods and decides how much to consume in each period.- In the first period his consumption equals C1 and his income Y1 = 200- In the second period his consumption equals C2 and his income Y2 = 100He can save or borrow money in the first period to finance his consumption in the second period.The interest rate he gets in case he saves or has to pay in case he borrows money equals 7%.Determine the budget constraint of this individual. C2 = −0.935·C1 +314C2 =−1.07·C1 +314C2 =−0.8·C1 +314C2 =−1.08·C1 +314 QUESTION 2The total production of a good y is determined by the production function y = 3L2/3K1/3, where L is labour input and K capital input.The reward (factor prices) for labour and capital are, l = 27 en r = 2, respectively.The producer needs to produce 9000 units of good y.How much units of labour will he hire if he wants to miminize his total costs? 1587,4839,953000515,23 QUESTION 3A good is traded on a perfectly competitive…Imagine there is a consumption smoother (also known as a PIH consumer) who expectsto live for another 40 years and to work for another 30 years. They just learned thatthey will receive a permanent pay increase from their job of $800. How much extra dothey consume this year? What is their marginal propensity to consume?1. When the S-shaped function cuts the 45-degree line from below there is ____ equilibrium.A. stableB. unstableC. multipleD. matched2. A situation in which one party to a potential transition has more information than anotherparty is called ____.A. Asymmetric InformationB. Information externalityC. Pecuniary externalityD. Pareto Improvement3. This theory proposes that a 'bit by bit' investment will not impact the process of growth.A. Coordination failuresB. Multiple equilibriaC. The Big PushD. O-Ring theory4. The situation of being unable or only barely able to meet the subsistence essentials of food,clothing, shelter, and basic health care.A. POVERTYB. ABSOLUTE POVERTYC. REAL POVERTYD. NORMAL POVERTY5. It is the savings expressed as a proportion of disposable income over some period of timeA. SAVINGS RATIOB. NET SAVINGS RATIOC. NET RATIO OF SAVINGSD. NET SAVINGS6. A condition that must be present, although it need not be in itself sufficient, for an event tooccur.A.…
