5. Assume a closed economy with exogenous investment I and government spending G. The consumption function is as follows: C = a + by where Ya is households' disposable income. But instead of a head tax the government levies a proportional income tax, with the income tax rate given by t where 0 < t < 1. d) What is the government spending multiplier in this case? (Hint: It's the derivative of income Y with respect to G.) e) Is this multiplier smaller or larger compared with the multiplier with a simple head tax T?

5. Assume a closed economy with exogenous investment I and government spending G. The consumption function is as follows: C = a + by where Ya is households' disposable income. But instead of a head tax the government levies a proportional income tax, with the income tax rate given by t where 0 < t < 1. d) What is the government spending multiplier in this case? (Hint: It's the derivative of income Y with respect to G.) e) Is this multiplier smaller or larger compared with the multiplier with a simple head tax T?

Economics For Today

10th Edition

ISBN:9781337613040

Author:Tucker

Publisher:Tucker

Chapter19: The Keynesian Model In Action

Section: Chapter Questions

Problem 5SQP

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6. Assume a closed economy with exogenous investment I and government spending G. The consumption function is as follows: C = a + bYa where Ya is households' disposable income. But instead of a head tax the government levies a proportional income tax, with the income tax rate given by t where 0 < t < 1. a) What is the new expression for disposable income? b) What is the new expression for the consumption function? c) What is the equilibrium level of output Y? d) What is the government spending multiplier in this case? (Hint: It's the derivative of income Y with respect to G.) e) Is this multiplier smaller or larger compared with the multiplier with a simple head tax T?
Give typing answer with explanation and conclusion Suppose that the typical Canadian spends 80 percent of their income. There is an income tax rate is 15% per period. If the government wanted to see the effect of a tax cut of $50 billion, what would be the tax multiplier that they would have to use.
1. Suppose the households in a hypothetical economy has the following consumption function C= a + cYd. Where is the disposable income. The government in this economy imposes a tax rate of to households’ income (ex. A means that 10% of households’ income goes to tax payments). a. What is the equation that describes the disposable income of households? b. What is the Planned Expenditure Equation? Assume that government expenditure is exogenous and Investment function is given by the equation I = I-br Where is the interest rate. c. Derive the equilibrium output in the goods market and show that the multiplier in this model is 1/1c(1-t). d. How does and the tax rate affects this multiplier (e.g., what happens to multiplier if c increases cet.par. , or if tax rate increases, cet.par)?
Assume that the economy can be modeled as follows: AE = C + I + G C = 300 + .6Yd I = 400 G = 100 T = 200 Y=1700 consumption=1200 7) Imagine the government would like to increase equilibrium GDP to 2,000, what would it have to set the level of government spending to? 8) What is the size of the spending multiplier? 9) What is the size of the tax multiplier?
The simple economy of Altria shown in the table below has no government or taxes and no international trade. Its investment is autonomous and its MPC is constant. a. Complete the table below. Remember to use a minus (-) sign to indicate negative values. Y S I AE 500 0 750 1,500 2,250 3,000 3,750 с 500 1,000 0 750 b. The value of expenditures equilibrium is $ c. The value of the multiplier is
3 bok t ces The simple economy of Altria shown in the table below has no government or taxes and no international trade. Its investment is autonomous and its MPC is constant. a. Complete the table below. Remember to use a minus (-) sign to indicate negative values. AE Y S I 200 0 400 800 1,200 1,600 2,000 C 200 500 800 1100 1400 1700 0 -200 -100 100 200 300 b. The value of expenditures equilibrium is $ c. The value of the multiplier is
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)).
C = 450 + 0.4YI = 350G = 150X = 70Z = 35 + 0.1YT = 0.15YYf = 1550(Hint: use the multiplier method)Q.2.4 Calculate the tax revenue to the government of this country when the economyremains in equilibrium.Q.2.5 Calculate what the new equilibrium income should be if the government of thiscountry decides to cancel all taxes, implying the tax rate would now be 0%.Q.2.6 Before the government decreased the tax rate, how much of governmentspending was required to bring the economy to full employment?
4. In the economy of St. Maynard Island, autonomous consumption expenditure is $185 million, and the marginal propensity to consume is 0.75. Investment is $150 million, government expenditure is $100 million, and net taxes are $80 million. Investment, government expenditure, and taxes are constant - they do not vary with income. The island does not trade with the rest of the world. a) What is the consumption function? b) What is the aggregate expenditure function? c) What is the island's autonomous aggregate expenditure? d) What is the size of the multiplier in St. Maynard Island's economy? e) What is the island's aggregate planned expenditure and what is happening to inventories when real GDP is $1,100 million? f) What is the economy's equilibrium aggregate expenditure?
15) Given the income and consumption data shown in the table below, what is the spending multiplier ?
QUESTION 36 40 36 32 28 24 20 16 12 8 4 0 O b) 3/2 c) 2/3 d) 1/3 E,Q E O e) 3 16 24 36. What is the value of the "simple income multiplier" for autonomous spending? a) zero 32 40 o AE S
6) Suppose the Canadian economy is represented by the following: C=100+0.8Yd T-$50 I-20+0.1Y G-200 Yd-Y-T a) What is the equilibrium level of output? (Hint: first, drive the equation for C as a function of Y, then drive the equation for Z) b) What is the multiplier?