The economy is described by the following functions: C = Č+c•YD Tx t.Y %3D Tr Tr I %3D G = Ğ Nx = Nx where t is the tax rate. Note the difference with the setup derived in class: here, the amount of taxes collected depends positively on the gross income. • Q1. Express equilibrium output as function of other variables • Q2. Find the multiplier associated with government purchases. How does this multiplier compare with that obtained in class (i.e. for a model with lump-sum taxes?)
Q: The economy is described by the following functions: C = 110 + 0.8Y D Tx 20 Tr 40 I 70 G 80 %3D Nx…
A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…
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- Assume that the consumption function is given by C = 150 + 0.85(Y – T)and the tax function is given by T = t0 + t1Y where C = Consumption, Y = Total output/income, t0 = Autonomous/fixed tax and t1 = Tax rate. If t0increases by 1 unit, then explain whether consumption will be increased or decreased, and how much?Given the national income model Y=C+I+G. C=400+0.72Y; I=100 and G=90 a) Obtain the equilibrium level of output and the size of multiplier? b) By how much will output increase when investment spending increases by 50%? Graphically demonstrate your answer in (a) c) How will your answers in (a)–(b) change if the consumption function is now given as C = 400 + 0.72Yd where Yd = Y – T and the tax function is given as T = 40 + 0.15Y?In the country A , autonomous consumption (CA) is 100, marginal propensity to consume (CY) is 0.5, investment expenditure (I) is 50, government spending (G) is 50, lump-sum tax collection (T) is 20 and income tax rate (t) is 0.2. AE = C + I + G According to the information above, fill in the blanks. a) The equilibrium output is: _____________ b) If the lump-sum tax increases to 40, the new equilibrium output is: _______ c) The tax multiplier (numerically) is: ______________
- Suppose that the government expenditure multiplier is equal to 6. By how much should the government decrease government expenditures (G) in order to close this inflationary gap?Suppose actual real GDP is $14 trillion and potential real GDP is $18.5trillion. If the marginal propensity to consume (MPC) is 0.85and government purchases increase by $526billion, then to close this gap lump-sum taxes should change by $_______billion. Please respond accurately and provide a detailed explanation with calculations; if not, I will downvote several times. 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.Suppose the following data for an economy; a consumption function of C = 800 + 0.8Yd, Investment spending is fixed at 300, Government purchases are 400, and net taxes are 100. A.) What is the MPC, MPS, and the value of the tax multiplier? B.) Suppose government increases taxes by 100, use the corresponding multiplier to calculate the new equilibrium level of income. C.) Check to ensure that the multiplier worked (confirm algebraically that your answer in B is correct, that is, solve for the new equilibrium level of income (Y)).
- Consider the following consumption function: C (Y)=0.8(Y-T) where Y represents income and T represents net taxes. Suppose that investment, I, is 100; government spending, G, is 200; and, net taxes, T, are 100. 1)The equilibrium level of output is: a. 1200 b. 900 c. 1100 d. 1000 Tha values for the government expenditure and tax multipliers are, respectively: a. 5 and -4 b. -2 and 2 c. 2 and 2 d. 2 and 4Suppose the government reduces taxes by 50,000,000, that there is no crowding out, and that marginal propensity to consume is 0.9. What is the total amount of additional economic activity that results from this tax cut?Assume that, without taxes, the consumption schedule for an economy is shown below: GDP, Billions Consumption, Billions $100 $120 200 200 300 280 400 360 500 440 600 520 700 600 Graph this consumption schedule and determine the size of the MPC. Assume that a lump-sum (regressive) tax of $10 billion is imposed at all levels of GDP. Calculate the tax rate at each level of GDP. Graph the resulting consumption schedule and compare the MPC and the multiplier with those of the pretax consumption schedule. Now suppose a proportional tax with a 10 percent tax rate is imposed instead of the regressive tax. Calculate and graph the new consumption schedule and note the MPC and the multiplier. Finally, impose a progressive tax such that the tax rate is 0 percent when GDP is $100, 5 percent at $200. 10 percent at $300, 15 percent at $400, and so forth. Determine and graph the new consumption schedule, noting the effect of this tax system…
- Assume an MPC of 0.9. The change in total spending for the economy as a result of a $100 billion new government spending injection would be: A) $90 billion B) $80 billion C) $900 billion D) $800 billionSuppose that the components of planned spending in an economy are C=500 +0.8(Y-T), I=1500, G=2000, X=0, T=0.25Y, where t is the fraction of income paid in taxes (the tax rate). As we will see in this problem, a tax system of this sort serves as an automatic stabiliser, because taxes collected automatically fall when incomes fall.a)Find a short-run equilibrium output in this economy. b)Calculate the multiplier. c)Explain how reducing the size of the multiplier helps to stabilise the economy, holding constant the typical size of fluctuations in the components of exogenous expenditure.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…