The following equations describe your economy:
Y = C + I + G
C = c(bar) +cYD
YD = Y + TR – TA
I = I(bar)
G = G(bar)
TA = tY
TR = TR(bar) – rY
(NOTE: c(bar), I(bar), TR(bar)= C-Bar, I-bar TR-BAR ---- The bar across the top variables indicates its autonomous)
(Also, ‘t’ is a proportional tax on income, and governs the inverse relationship between transfers and income)
a) Suppose that the government adopts a proposal to impose a tax on transfer payments to its citizens such that TA = t (Y + TR) (note: TR still TR(bar). Using this expression for taxes and the same expression for transfers as given in the model, derive an expression for equilibrium output.
b) Does a tax on transfer payments increase, decrease or leave unchanged the extent of automatic stabilization? Explain!
The following equations describe your economy: Y = C + I + G C = c(bar)...
Given the following model: Y= C + I + G + X – Z C = a + bYd Z = Z0 + zYd Yd = Y – T a) Compute the expression for equilibrium income b) Compute the expression for the tax multiplier c) Suppose there is an autonomous increase in imports (Z0) of 20 units. To counteract this contraction in domestic aggregate demand, assume the government cuts taxes by 20 units. Will equilibrium income rise or fall? By...
Given the following model: Y= C + I + G + X – Z C = a + bYd Z = Z0 + zYd Yd = Y – T a) Compute the expression for equilibrium income b) Compute the expression for the tax multiplier c) Suppose there is an autonomous increase in imports (Z0) of 20 units. To counteract this contraction in domestic aggregate demand, assume the government cuts taxes by 20 units. Will equilibrium income rise or fall? By...
1) Suppose an economy is characterized by the following equations. Y = C+/+G Y = 10,500 G = 800 TA = 1000 S = 1600+ 0.1(Y-TA) + 20001 1 = 600+ 0.20Y - 30001 Where Y is real GDP, G is government purchases of goods and services, S is total national savings, is the nominal rate of interest and I is total investment. There are no transfers in this economy and agents can only consume or save their income. a)...
1. Assume a private, closed economy where Y = C + I, and C = 10 + 0.9Y and I = 15. (Values in $ billions.) Solve algebraically for the equilibrium level of national income. Calculate the value of the multiplier. Solve graphically for the equilibrium income by constructing an accurate i) The 45 degree graph ii) savings/investment graph Now add the government sector to the model so that Y = C + I + G where C =...
Imagine the economy is defined by the consumption function of C = 140 + 0.9 (Yd) where 140 is autonomous consumption, 0.9 is marginal propensity to consume, and Yd is disposable income (after taxes) and Yd=Y-T, where Y is national income (or GDP) and T=Tax Revenues=0.3Y (0.3 is the avg. income tax rate). To find the macro equilibrium use the following equation Y = C + I + G + (X - M). Where C=140 + 0.9(Yd), I=400, G=800, X=600,...
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1-5
We have the following model of the economy: (I)Y-C+S+T (2) E-C+I+G (3) Y E (4) C-(YD. CA (5) S-s(YD SA) (6) I=IA 7) G-GA (8) T TA (9) YD Y T (10) Deficit =G-T The following data for equilibrium values will help in this problem. G-800 I 30 T=650 Y'=5,000 Calculate 1. the equilibrium value of consumption 2. marginal propensity to consume (AC/AY) 3. the expenditure multiplier 4. The government budget now has an imbalance ofThis is a DEFICIT...
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M.4
1. Suppose the United States economy is represented by the following equations: Z=C+I+G YD=Y-T I = 30 C = 100 + 5YD G= 100 T = 200 a) Which variables are endogenous and which are exogenous? b) Calculate equilibrium levels of output, consumption and disposable income c) What is the multiplier for this economy d) What is the effect of increasing G by $100 on Y and the deficit