Consider the following economy. Individuals are endowed with y units of the consumption good when young and nothing when old, but would like to consume in both periods. People face a lump-sum tax of t goods when young and a rate of expansion of the fiat money supply of z > 1. The tax and the expansion of the fiat money stock are used to finance government purchases of g goods for each old person in every period. There are N people in every generation (constant population). (a) Find the individual's budget constraints when young and when old. Combine them to derive the individualís lifetime budget constraint. Explain the results
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Consider the following economy. Individuals are endowed with y units of the consumption good when young and nothing when old, but would like to consume in both periods. People face a lump-sum tax of t goods when young and a rate of expansion of the fiat money supply of z > 1. The tax and the expansion of the fiat money stock are used to finance government purchases of g goods for each old person in every period. There are N people in every generation (constant population).
(a) Find the individual's budget constraints when young and when old. Combine them to derive the individualís lifetime budget constraint. Explain the results.
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- Consider the following economy. Individuals are endowed with y units of the consumption good when young and nothing when old, but would like to consume in both periods. People face a lump-sum tax of t goods when young and a rate of expansion of the fiat money supply of z > 1. The tax and the expansion of the fiat money stock are used to finance government purchases of g goods for each old person in every period. There are N people in every generation (constant population). (a) Find the individualís budget constraints when young and when old. Combine them to derive the individualís lifetime budget constraint. Explain the results. (b) Find the government's budget constraint. Explain each component. (c) Find the feasible set. Explain what is the role of z, t and g in it, and why. (d) Now consider instead the case where the lump-sum tax of t goods is levied on the old and used to finance a transfer of g goods to the young. Derive the new government budget constraint and feasible set.…Consumption function C=250+0.6(Y-T) Investment I=100-20r Money demand function (M/P)=Y-20r a. Government purchases and taxes are both 100. In the accompanying diagram, graph the IS curve for r ranging from 0 to 8 by dragging and dropping the end points to the correct locations. b. The money supply M is 2,875 and the price level P is 5. In the accompanying diagram, graph the LM curve for r ranging from 0 to 8 by dragging and dropping the end points to the correct locations. c. Find the equilibrium interest rate, r, and the equilibrium level of income Y.Consider the economy of Banana.a. The consumption function is given by C = 200 + 0.75(Y − T), The investment functionis I = 200 − 25r. Government purchases and taxes are both 100. For this economy, graphthe IS curve for r ranging from 0 to 5.b. The money demand function in a Banana is (M/P)d = Y − 100r. The money supply M is1,000 and the price level P is 2. For this economy, graph the LM curve for r ranging from0 to 5.c. Find the equilibrium interest rate r and the equilibrium level of income Y.d. Suppose that government purchases are raised from 100 to 150. How much does the IScurve shift? What are the new equilibrium interest rate and level of income?e. Suppose instead that the money supply is raised from 1,000 to 1,200. How much doesthe LM curve shift? What are the new equilibrium interest rate and level of income?f. With the initial values for monetary and fiscal policy, suppose that the price level risesfrom 2 to 4. What are the new equilibrium interest rate and level of income?g.…
- Consider the economy of Ghana. The consumption function is given by C = 400 + 0.8(Y - T). The investment function is I = 600 - 70r. Government purchases is 400. Assume a balanced budget. The money demand function is (M/P)d = Y - 180r. The money supply M is 3,000 and the price level P is 3. Find the equilibrium interest rate r and the equilibrium level of income Y. Suppose that government purchases are increased from 400 to What are the new equilibrium interest rate and level of income? Suppose instead that the money supply is increased from 3,000 to 3,500. What are the new equilibrium interest rate and level of income? With the initial values for monetary and fiscal policy, suppose that the price level rises from 3 to 5 What are the new equilibrium interest rate and level of income? Please solve 4Consider following IS-LM model: C = 200 + 0.25 · YD I = 150 + 0. 25 · Y – 1, 000 · i G = 250 T = 200 D M = 2 · Y – 8, 000 · i M = 1,600 P e) Solve for the equilibrium values of C and I! f) Solve for the equilibrium values of Y, i, C and I, if the money suppl increases to 1,840! g) Solve for the equilibrium values of Y, i, C and I, if government spending increases to 400 (the money supply is 1,600)!The following equations describe a certain economy C = 400 + 0 . 75 Y d → consumption function I = 200 − 100 r → Investment function T = 70 + 0 . 2 Y → Tax function G = 100 → Government expenditure X = 10 → Exports M = 150 + 0 . 06 Y → Import function MS = 4000 → Money supply MD = 0 . 2 Y − 10 r → Money demand Required Derive the IS and LM equations for three and four sector economies separately. Calculate the equilibrium Y, r, C, T, M and I for three and four sector economies separately.
- (Please solve part a) Consider the economy of Hicksonia a) The consumption function is given by: C=300+0.6(Y-T). The investment function is: I=700-80r. Government purchases and taxes are both 500. For this economy, graph the IS curve for r changing from 0 to 8 b) The money demand function in Hicksonia is (M/P)^d=Y-200r. The money supply M is 3000 and the price level P is 3. For this economy, graph the LM curve for r changing from 0 to 8. c) Find the equilibrium interest rate r and the equilibrium level of income Y. d) Suppose that government purchases are increased from 500 to 700. How does the IS curve shift? What are the new equilibrium interest rate and level of income? e) Suppose instead that the money supply is raised from 3000 to 4500. How does the LM cruve shift? What are the new eqquilibrium interest rate and level of income? f) With the initial level values for monetary and fiscal policy, suppose that the price level rises from 3 to 5. What hpapnes? What are the new…Consider the economy of Ghana.The consumption function is given by C = 400 + 0.8(Y - T).The investment function is I = 600 - 70r.Government purchases is 400. Assume a balanced budget.The money demand function is (M/P)d = Y - 180r.The money supply M is 3,000 and the price level P is 3.a. Find the equilibrium interest rate r and the equilibrium level of income Y.b. Suppose that government purchases are increased from 400 to 600. What are the new equilibrium interest rate and level of income?c. Suppose instead that the money supply is increased from 3,000 to 3,500. What are the new equilibrium interest rate and level of income?d. With the initial values for monetary and fiscal policy, suppose that the price level rises from 3 to 5. What are the new equilibrium interest rate and level of income? kindly answer only sub ques (c) and (d)..Consider the economy of Hicksonia a) The consumption function is given by: C=300+0.6(Y-T). The investment function is: I=700-80r. Government purchases and taxes are both 500. For this economy, graph the IS curve for r changing from 0 to 8 b) The money demand function in Hicksonia is (M/P)^d=Y-200r. The money supply M is 3000 and the price level P is 3. For this economy, graph the LM curve for r changing from 0 to 8. c) Find the equilibrium interest rate r and the equilibrium level of income Y. d) Suppose that government purchases are increased from 500 to 700. How does the IS curve shift? What are the new equilibrium interest rate and level of income? e) Suppose instead that the money supply is raised from 3000 to 4500. How does the LM cruve shift? What are the new eqquilibrium interest rate and level of income? f) With the initial level values for monetary and fiscal policy, suppose that the price level rises from 3 to 5. What hpapnes? What are the new equilibrium interest rate…
- answer c and d Suppose that the following system of equations describe the macroeconomy of a hypothetical country: Y= C(y)+I(i)+G : IS or goods market M/p=L(i,y) : LM or money market b) Taking money supply and government expenditure as exogenous and the price level as fixed, determine and provide economic intuition for the signs and magnitudes of the following multipliers dY/dG and di/dG c) For a simultaneous increase in both the interest elasticity of investment and interest elasticity demand for money parameters, determine the net effect on the values of the multipliers in part b). d) For a horizontal LM curve, determine the numerical values of your answers in part b) above if: Marginal propensity to consume=5/6 Tax rate=0.25 Interest elasticity of investment=5 Interest elasticity of demand for money=50 Income elasticity of demand for money=2 answer c and d onlyConsider the following economy: Labor supply: Nt= 90 Capital stock: Kt = 90 Government spending: Gt = 20 Tax collections: Tt = 20 Production function: Yt = 2(Kt)0.5 (Nt)0.5 Real money demand Lt = 2Yt - 200rt Consumption function: Ct = 16 + 0.8(Yd)t Domestic price level: Pt = 4 Investment function: It = 25 - 50rt Nominal money supply: Mt = 1296 1.Is this a short-run level of output also a long-run equilibrium? Explain. 2.Suppose that the government decreases taxes to T=10. Find the new short-run equilibrium levels of output and interest rate 3.Find the long-run equilibrium levels of output, interest rates and prices. Graph this combination of policies both in the short and in the long run. 4.Explain how the adjustment from the short-run to the long-run occurs.The following equations describe a certain economy C=200+0.75Yd consumption function I = 100-50r Investment function T = 60+0.2Y Tax function G = 200 Government expenditure X = 100 Exports M = 100 + 0.02Y Import function MS = 2000 Money supply MD = 0.3Y-10r Money demand Required: Derive the IS and LM equations. Caleulate the equilibrium Y, C, T, M and I. General equilibrium occurs when IS and LM curves intersect. Explain the conditions to be satisfied at this intersection, and explain the causes of d'sequilibrium.