Question 7. Suppose that in a closed economy, government purchases and taxes are both 100. The consumption function is C= 0.75(Y-TH150. The investment function is I= 250 – 25r. The money demand function in the economy is (M/Pla= Y – 100r. The money supply M is 750 and the price level P is 1.5. a. Derive the equations of IS and LM curves. b. Find the equilibrium interest rate r and the equilibrium level of income Y, given that the price is fixed. c. Derive an equation for the aggregate demand curve in this economy.
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Q: 7
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Q: 5 (Y - T) I= 500 - 50r
A: Given : Y=C+I+G C=100+.75(Y−T) I=500−50r G=125 T=100
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A: Given : Y=C+I+G C=100+.75(Y−T) I=500−50r G=125 T=100
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- Assume that the consumption function is given by C = 200 + 0.5(Y – T) and the investment function is I = 1,000 – 200r, where r is measured in percent, G equals 300, and T equals 200.Assume that the equilibrium in the money market may be described as M/P = 0.5Y – 100r, and M/P equals 800. Calculate the equilibrium r and Y. Calculate the government spending multiplier.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 an economy described by the following equations. Y=C+I+G C=100+.75(Y−T) I=500−50r G=125 T=100 Where: Y is GDP, C is consumption, I is investment, G is government spending, T is taxes and r is the rate of interest. Question: 1. Assuming that no change in fiscal policy, what is the effect of a reduction in interest rate from 4 percent to 3 percent on equilibrium output? 2. Suppose the Central Bank policy is to adjust the money supply to maintain the interest rate at 4 percent, so r=4. What is the value of output?
- 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 4Assume that the money demand function is (M / P) ^ d = 2, 200 - 200r, where r is the interest rate in percent. The money supply M is 2,000 and the price level P is 2. The consumption function is given by C = 200 + 0.5(Y - T) and the investment function is I = 1.000 - 200r , where r is measured in percent , G equals 300, and T equals 200. Calculate the equilibrium level of output. Show the IS-LM equilibrium graphically.Consider an economy described by the following equations. Y=C+I+G C=100+.75(Y−T) I=500−50r G=125 T=100 Where: Y is GDP, C is consumption, I is investment, G is government spending, T is taxes and r is the rate of interest. Questions: a. Suppose the Central Bank policy is to adjust the money supply to maintain the interest rate at 4 percent, so r=4. What is the value of output? Show your solution. b. Assuming that no change in fiscal policy, what is the effect of a reduction in interest rate from 4 percent to 3 percent on equilibrium output. Show your solution. c. In this case, explain the policy that was used by the policymaker to target the aggregate demand.
- 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)..1.Consider the Economy of Rwanda. The consumption function is given by ?=200+0.75[?−?] while theinvestment function is ?=200−25?. Government purchases and taxes are both 100.The money demand function of Rwanda is [??⁄]?=?−100?. The nominal money supply is 100 and theprice level P is 2.i i) Derive the IS curve equation.ii ii) Draw a well labeled diagram of the IS Curve.iii iii) Derive the LM curve equation.iv iv) Draw a well labeled diagram of the LM Curve.v v) Determine the equilibrium level of income and equilibrium interest rate2.Keynes developed the concept of the multiplier with the intention of arguing that extra governmentspending on public works which is financed by a budget deficit would have a positive effect on a demanddeficient economy. However, several factors limit the application of the multiplier for an economicmanagement. Discuss3.Trade war happens when one country retaliates against another by using import tariffs or placing otherrestriction on the other country’s…Macroeconomics Question 1) Given the following: Money supply is 1400, C = 120+0.7(Y-T). I = 200 – 10r, where r denotes the real interest rates, and T denotes the Taxation = 200, G = 400. The real money demand function (m/p = 0.1Y100r). Required: Calculate the equilibrium income and equilibrium rate of interest. II. If autonomous investment I0 increases by 300 calculate the investment multiplier (k) and analyze the impact on income (Y) and consumption (C).
- Use an open-economy ISLM framework to graph and explain the overall effect of expansionary fiscal policy on y and r in an economy characterized by a relatively interest-sensitive money demand function. Also consider the impact of this policy on the distribution of output among spending sectors.Assume that the long-run level of output is Y=1000Y=1000, which the economy is also at initially in the short-run. Suppose that the consumption and investment functions are, respectivley, C=100+0.8(Y−T¯),I=100−2000r,C=100+0.8(Y−T¯),I=100−2000r, that is, MPC is 0.8. Furthermore, the LM (money market equilibrium) curve is M¯P=Y200i.M¯P=Y200i. The government is currently implementing a policy G¯=80,T¯=50G¯=80,T¯=50, and the central bank (CB) is supplying M¯=1000M¯=1000. Expected inflation is πe=0πe=0. Derive the IS curve. It should be written in the form Y=A−BiY=A−Bi, that is, you only need to solve for the values of A=A=Answer and B=B=Answer.Assume that a government cuts its expenditure and therefore runs a public-sector surplus. (a) What will this mean for the equilibrium national income?(b) What will this mean for the demand for money and to interest rates?(c) Under what circumstances will it lead to a (i) decrease in money supply, and (ii) no change in money supply?(d) What effect will each of the two scenarios in (c) will have on the rate of interest rate compared with its original level?