The economy is described by the following functions: C = 110+0.8YD Tx = 20 Tr = 40 I = 70 G = 80 Nx = 30 1) Find the multiplier associated with government purchases. 2) Suppose government purchases increase by 20. By how much would the equilibrium output increase? 3) Illustrate change in government purchases on the Keynesian C
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The economy is described by the following functions:
C = 110+0.8YD
Tx = 20
Tr = 40
I = 70
G = 80
Nx = 30
- 1) Find the multiplier associated with government purchases.
- 2) Suppose government purchases increase by 20. By how much would the equilibrium output increase?
- 3) Illustrate change in government purchases on the Keynesian Cross diagram.
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- Problem 1. Keynesian Cross: The economy is described by the following functions: C110+ 0.8YD Tr = 20 Tr= 40 I 70 G = 80 NI = 30 = Q1. Express aggregate demand as a function of overall income Y. • Q2. Write down a condition that describes equilibrium in the Keynesian Cross diagram • Q3. Substitute all the information that you were given and find equilibrium output. • Q4. Find the multiplier associated with government purchases. • Q5. Suppose government purchases increase by 20. By how much would the equilibrium output increase? • Q6. Illustrate change in government purchases on the Keynesian Cross diagram. • Q7. Suppose transfers increase by 20. By how much would the equilibrium output increase? Problem 2. Keynesian Cross with proportional taxation: The economy is described by the following functions: C Tz Tr C+cYD t-Y = Tr I = i G = G Nz = N₂ 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…Consider a Keynesian model with consumption function C = 100 + c(Y – T), 0<c<1 where taxes T are given by T = 100 + tY, 0<t<1 with marginal tax rate t. An increase in G will increase equilibrium output by the multiplier: a. 1/(1 – c – c*t) b.1/(1 – c + c*t) c.1/(1 – c*t) d.1/(1 – c)If the Keynesian consumption function were C = 2,000 + 0.75YD , what would the value of the tax multiplier be, and how much would equilibrium $output/$income, Y, change if taxes were decreased by 200? Group of answer choices A) Tax multiplier = - 4 ; change in Y = + $160 B) Tax multiplier = - 5 ; change in Y = + $1,000. C) Tax multiplier = - 4 ; change in Y = + $800. D) Tax multiplier = - 5 ; change in Y = + $4,000. E) Tax multiplier = - 3 ; change in Y = + $600.
- If the Keynesian multiplier is defined as 1/ (1-c) where c is the proportion of income that is consumed, then when c increases, a. the multiplier decreasesb. income declines c. the multiplier increases d. investment increasesQ.1.15 Induced consumption is: (a) the part of consumption which is independent of the level of income.(b) the minimum level of consumption that is financed from sources other than income.(c) The maximum level of consumption that is financed from sources other than income.(d) shown by the slope of the consumption function.Q.1.16 In the Keynesian model, an introduction of a proportional tax will: (a) increase the slope of the consumption function.(b) reduce the multiplier.(c) increase the equilibrium level of income.(d) increase the multiplier.Q.1.17 A decrease in the price level will: (a) shift the AS curve to the left.(b) shift the AD curve to the left.(c) shift the AS curve to the right.(d) leave both the AD curve and the AS curve unchanged. Q.1.18 During(a) increases, increasesan economic expansion, real GDP ____ and unemployment ____. (b) increases, decreases(c) decreases, increases(d) decreases,…Suppose the marginal propensity to consume in an economy is 0.9. What would be the Keynesian multiplier in this economy? (Express your answer as a whole number – no fractions or decimals)
- Given a simple Keynesian spending multiplier of 2, how will GDP (Y) change when business investment increases by $15 billion, exports increase by $5 billion, and government spending drops by $10 billion? Y increases by $20 billion. Y decreases by $20 billion. Y decreases by $10 billion. Y remains unchanged.In the Keynesian cross, assume that the consumption function is given by C = 200 + 0.75 (Y − T ). Planned investment is 100; government purchases and taxes are both 100. A. What is the equilibrium level of income? B. If government purchases increase to 125, what is the new equilibrium income? C. What level of government purchases is needed to achieve an income of 1,600?In the Keynesian cross model, assume that the consumption function is given byC = 110 + 0.75(Y - T). Planned investment is 300; government purchases is 350. Assume a balanced budget.a. Graph planned expenditure as a function of income.b. What is the equilibrium level of income?c. If government purchases increase to 400, what is the new equilibrium income? What is the multiplier for government purchases?d. What level of government purchases is needed to achieve an income of 2,200? (Taxes remain unchanged.)e. What level of taxes is needed to achieve an income of 2,200? (Government purchases remain at 350.)
- Suppose we have the following information for the simple (fixed r, fixed P, fixed W) Keynesian model. C = 400 + 0.8 I = 310 G = 140 = 400 + 0.8 (Y - T) T = 200, where C is the consumption function, (Y - T) is disposable income, I is investment, G is government spending, and T is taxes If government spending increased by $80, equilibrium Y would Group of answer choices A) increase by $400. B) decrease by $160. C) increase by $80. D) increase by $320. E) increase by approximately $106.67.Consider the Keynesian Cross model. If the fiscal multiplier equals 2, and the government decides to increase government purchases by 100, by how much would equilibrium output increase?Consider a Keynesian model but where investment (just like consumption) is increasing in aggregate income, e.g., because investment depends on business cash flow. Now that investment depends on aggregate income, a fiscal stimulus has more effect on equilibrium output.Answer true, false, or uncertain. Please briefly explain your answer
