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![Assume the following model of the economy
C = 60 +0.75(Y – T)
I = 45 – 5r
G = 40 and T = 40
MS
110
P = 1 (fixed)
(M/P)D = 0.5Y – 5r,
-
where C=consumption spending, Y=income,
|=investment spending, r=the interest rate,
G=government spending, T=taxes. MS=the money
supply, P=the price level, and (M/P)D is real
money demand.
(a) Write the equations for the IS and LM curves and
sketch these functions. Solve for the equilibrium
values of Y and r and include these values in the
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- Problem 1 Suppose the system of aggregate expenditures can be described by the following relationships and parameter values. C(Y – T) = 1200 + 0.8(Y – T) I(r) = 100 – 3r G = 200;T = 200; r = 5; Ex = Im = 0 1. In the consumption function, 1200 represents the portion of consumption that is not dependent on disposable income. Suppose something causes households to become concerned about their economic futures and this autonomous consumption falls to 1100. Find the new equilibrium level of Y (output/income).Assume that GDP (Y) = 5,000 Consumption: C = 1,300+(0.4(Y-T)) - 240 r; where r is the real interest rate. Investment (1) is: /= 1,800 - 240 r, Taxes (7): T=250 Government spending (G): G= 1,800 a. What are the equilibrium values of C, Number I, Number and r Number b. What are the values of private saving Number public saving, Number and national saving NumberLet: C = consumption I = investment spending G = government spending Tx = tax revenue Yd= after-tax income MS = money supply MD = money demand r = interest rateAssume for a given closed economy:(i) Consumers spend $200 billion plus 80% of after-tax income, orC=200+0.8 Yd(ii) Investment demand varies inversely with the interest rate, such thatI= 500-2000r(iii) Currently government spending and taxes are both $250 billion, orG=250 and Tx=250,(iv) The total money demand or liquidity preference schedule for this economy is an inversefunction of the rate of interest and is given by the equationMD=850-1000r(v) The required reserve ratio for banks in this economy is 20%. No bank holds excessreserves, and everybody keeps their money in the bank. The total of reserves in the banks is$150 billion.Answer the following questions given the information above.d) The central bank wants national income to be $3000 billion. What must investment befor the equilibrium level of national income to be $3000…
- An economy is described by the following equations: Y = C + I, + G C = a + b(Y – T) T = tY %3D %3D Let a = 20,6 = 0.75, t = 0.25, I, = 100, G = 240 %3D (a) Determine the value of the multiplier for this economy, and find the equilibrium value of Y. (b) Find the values of C, T and G-T, given your answer to part (a). (c) Describe what would happen if the government tried to eliminate its budget deficit by undertaking a cut in G equal to the current value of G-T. HTML Editor B IUA A ▼ 回 深 D ¶ T 12pt Paragrap IIAssume an economy were characterized by the following equations C = C + bYD I=Ī - di G=G T=T X=X IM= Z +fY MD= a + Bi+yY MS=Ⓒ P = 1 (1) (2) (3) (4) (5) (6) (7) (8) (9) where the notation denoting parameters C,b,1,d,e,G,T,X,Z,f,a, ß,y, are all positive and YD denotes disposable income. We assume that 0Consider the macroeconomic model shown below: C = 500+ 0.80Y | = 1,500 G = 1,000 NX = - 100 Y=C+I+G + NX Consumption function Planned investment function Government spending function Net export function Equilibrium condition Fill in the following table. (Enter your responses as integers.) Aggregate Expenditures (AE) $ $ GDP $11,600 $17,400 Unplanned Change in Inventories3) In the macroeconomic model below, Y is aggregate output, C is aggregate consump- tion, Io is aggregate investment, Go is government spending, T is the total amount of taxes collected by the government, and t is income tax rate. The variables Y, C, and I are endogenous, Go, Io, and t are exogenous, and a, b, and k are parameters. Y=C+ Io + Go C=a+b(Y-T) T=k+tY (a > 0,6€ (0,1)) (k>0, t€ (0,1)) Calculate the determinant of the coefficient matrix A associated with this system of equations. The determinant of the coefficient matrix A is: 1-b.+ bt a) A b) A-1-b-bt + a c) |A|=b+t d) A1+a+b-t e) |A| =Go+b+t f) A-Io-b+t 8) A = Go + Io +b-t3) In the macroeconomic model below, Y is aggregate output, C is aggregate consump- tion, Io is aggregate investment, Go is government spending, T is the total amount of taxes collected by the government, and t is income tax rate. The variables Y, C, and I are endogenous, Go, Io, and t are exogenous, and a, b, and k are parameters. Y = C + Io + Go C = a + b(YT) T=k+tY (a > 0, b = (0, 1)) (k > 0, t = (0, 1)) Calculate the determinant of the coefficient matrix A associated with this system of equations. The determinant of the coefficient matrix A is: a) |A| = 1-b+ bt b) |A| = 1-b-bt + a c) |A| = b + t d) |A| = 1+ a + b - t e) |A| = Go +b+t f) A = Iob+t g) A = Go + Io +b-tProblem 1: You are given the following model for the economy of a country: Consumption function: C=2000+0,75-YDI Investment function: I=10500 Government spending: G = 12000 Tax function: T=200+0,4·Y - Disposable income: YD = Y -T+TR Transfer: 1000 a) What is the level of equilibrium output? b) What is the new equilibrium output if investment decreases by 2 000 units? c) How much does the government collect in taxes when the economy is in equilibrium? d) What is level of the government’s budget? e) Calculate the tax multiplier? f) Calculate consumption at the equilibrium output.Consumption function: C = 85 + 0,5Yd Investment function: I = 75 Government spending: G = 70 Net Taxes: T = 0,25Y Disposable income: Yd Y – T Equilibrium: Y = C + I + G You are given the following model for the economy of a country without a foreign sector: (d) Solve for equilibrium income. (Hint: Be very careful in your calculations. They are not difficult, but it is easy to make careless mistakes that produce dramatically wrong results.) (e) How much does the government collect in taxes when the economy is in equilibrium? (f) What is the government’s budget deficit or surplus?Consider an economy in which autonomous consumption, planned autonomous investment, autonomous government expenditure, autonomous taxes, and the marginal propensity to consume are given (there are no net exports). Autonomous consumer spending = $3,000 Ip = $5,000 G = $3,000 T = $4,000 MPC = .75 (a) What is the level of C when Y = $19,000? I need help to know how to calculate this.An economy is described by the following: C=20+0.9Y I=120-200r. Md=250+0.2Y-400r. Ms/P=1250 Y=70 W=17.5 Lf=144 a) Find AS and AD. b) Find the equilibrium level of Y and P c) Graphically represent this economy d) Find the long-run Y of this economy. e) What is the level of government expenses G, the government needs to impose in order to lead the economy to the full employment? (Show the long-run graphically).SEE MORE QUESTIONS
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