Assume in country Y, the average marginal propensity to save is 0.2. When the aggregate income is zero, consum- ers spend 50 to consume. Derive the saving function and consumption function for this country. What happens to consumption when the propensity to save decreases to 0.1? Explain your answer and show this on the graph.
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- Assume in country Y, the average marginal propensity to save is 0.2. When the aggregateincome is zero, consumers spend 50 to consume. Derive the saving function and consumptionfunction for this country. What happens to consumption when the propensity to savedecreases to 0.1? Explain your answer and show this on the graph.The following questions refer to this table: a.At each level of output, calculate saving. At each level of out-put, calculate unplanned investment (inventory change).What is likely to happen to aggregate output if the economyproduces at each of the levels indicated? What is the equilib-rium level of output?b.Over each range of income (2,000 to 2,500, 2,500 to 3,000, andso on), calculate the marginal propensity to consume. Calculatethe marginal propensity to save. What is the multiplier?c.By assuming there is no change in the level of the MPC andthe MPS and planned investment jumps by 200 and is sus-tained at that higher level, recompute the table. What is thenew equilibrium level of Y? Is this consistent with what youcompute using the multiplier?Assume that in 2015, the following prevails in theRepublic of Nurd:Y = $200 G = $0C = $160 T = $0S = $40I (planned) = $30Assume that households consume 80 percent of their income, they save 20 percent of their income, MPC = 0.8,and MPS = 0.2. That is, C = 0.8Yd and S = 0.2Yd.a. Is the economy of Nurd in equilibrium? What is Nurd’sequilibrium level of income? What is likely to happen inthe coming months if the government takes no action?b. If $200 is the “full-employment” level of Y, what fiscal policy might the government follow if its goal is fullemployment?c. If the full-employment level of Y is $250, what fiscalpolicy might the government follow?d. Suppose Y = $200, C = $160, S = $40, and I = $40. IsNurd’s economy in equilibrium?e. Starting with the situation in part d, suppose the government starts spending $30 each year with no taxationand continues to spend $30 every period. If I remains
- We again assume asimple closed economy with GDP of 100 and:c0(autonomous consumption) = 20c1 (marginal propensity to consume) = 0.6I (investment) = 20.a) Now assume that c0falls by 5 (i.e. 5% of GDP), i.e. for any given level of output,consumption will fall by 5. Show the implied fall in the AD function in yourdiagram and show that output will fall by more than 5.b) Show that the multiplier is equal to 2.5, and hence that, in the new equilibrium,output will have fallen by 12.5 (i.e. by 12.5%)c) How big would the impact be if, say, c1 = 0.4 or c1 = 0.8? Explain the difference.Assume in a simple economy that the level of saving is –500 whenaggregate output equals zero and that the marginal propensity tosave is 0.2. Derive the saving function and the consumption func-tion, and draw a graph showing these functions. At what level ofaggregate output does the consumption curve cross the 45° line?Explain your answer and show this on the graph.You are given the following data concerning Freedonia, a leg-endary country:(1) Consumption function: C = 200 + 0.8Y(2) Investment function: I = 100(3) AE C + I(4) AE = Ya. What is the marginal propensity to consume in Freedonia,and what is the marginal propensity to save?b. Graph equations (3) and (4) and solve for equilibrium income.c. Suppose equation (2) is changed to (2 ́) I = 110. What is thenew equilibrium level of income? By how much does the$10 increase in planned investment change equilibriumincome? What is the value of the multiplier? d. Calculate the saving function for Freedonia. Plot this sav-ing function on a graph with equation (2). Explain why theequilibrium income in this graph must be the same as inpart b.
- Autonomous consumption = R100m Investment spending = R300m Government spending = R200 million Exports = R150 millionAutonomous imports = R100 million Marginal propensity to consume =2/3 Tax rate = 1/10Marginal propensity to import = 1/10 Yf = R2 150 million Calculate the level of autonomous spending in this economy?You are given data on the following variables in an economy: Government spending 300 Planned investment 200 Net exports 50 Autonomous taxes 250 Income tax rate 0.1 Marginal propensity to consume 0.5 Use the data above to answer the following questions. Consumption (C) is 600 when income (Y) is equal to 1500. Solve for autonomousconsumption. Solve for the equilibrium level of output in the following two scenarios: there isan income tax t=0.1, there is no income tax in the economy. Denote these two variablesby and respectively. In the economy with an income tax of 10%, what is the budget balance of thegovernment? Solve…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.
- n the Keynesian cross, assume that the consumption function is given byC = 200 + 0.75 (Y - T).Planned investment is 100; government purchasesand taxes are both 100.a. Graph planned expenditure as a function ofincome.b. What is the equilibrium level of income?c. If government purchases increase to 125, whatis the new equilibrium income?d. What level of government purchases is neededto achieve an income of 1,600?Derive the consumption function and use this relation in the aggregate demand function to derivean equation for the equilibrium in the goods market . Why the AD line is upward sloping?Suppose the government spending falls by 100 and in this case marginal propensity to consumeis 0.8. what is the value of change in output. Draw a diagram to show the shift in AD line due tothis change in government spending and output.in a closed economy with no government, where aggregate demand is determinedby autonomous consumption, investment (which is independent of output), and themarginal propensity to consume.a) Given that autonomous consumption is 20, investment is also 20, and the marginalpropensity to consume is 0.6, write out an equation for aggregate demand (AD) in thiseconomy. b) Given this aggregate demand equation, and the equilibrium equation Y = AD, usealgebra to find the equilibrium level of Y. c) Draw a diagram with output (Y) on the x-axis and aggregate demand (AD) on the yaxis. Draw two lines on this diagram: (i) Y = AD, and (ii) the aggregate demandfunction from part (a). Label the intercept of the AD line, and the point where the twolines intersect, with numerical values. (3 marks)d) Suppose that the marginal propensity to consume falls from 0.6 to 0.5. What wouldthe new equilibrium level of Y be? Illustrate your answer in the diagram you drew forpart (c). (2 marks)e) Calculate the value of…
