and the LM equations. Calculate the equilibrium interest ra taxes are cut by 20% and the money supply is held constant interest rate and level of income? that the Federal Reserve changes the money supply to hold t. What is the new level of income? What must the new mo
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- Y6 4.) The following equations describe an economy. Y = C + I + G C = 50 + 0.7(Y-T) I = 108 -200r G = 120 T = 120 (M/P)d = 2Y -200r M = 1000 P = 1 a.) Use the relevant set of equations to derive the IS curve. Graph it on an appropriately labeled graph. b.) Use the relevant set of equations to derive the LM curve. Graph it on an appropriately labeled graph. c.) What is the equilibrium level of income and the equilibrium real interest rate? d.) Now consider that the LRAS curve is Y = 600. Draw the LRAS curve on the IS-LM Model and the AD-AS Model for this economy. (Remember, P= 1) e.) What will happen for this economy to reach long run equilibrium?An economy is described by the following equations: C= 2,600+ 0.8(Y-T) - 10,000r IP = 2,000-10,000r G = 1,800 NX = 0 PAE = C+1²+ GANX T = 3,000, Where the definitions of each variables are the same as our lecture notes. The real interest rate, r, expressed as a decimal, is 0.10 (that is, 10 percent). a. Find a numerical equation relating planned aggregate expenditure to output. b. Solve for short-run equilibrium output. c. Show your result graphically using the Keynesian-cross diagram. d. Now, suppose that potential output Y* equals 12,000. What real interest rate should the Fed set to bring the economy to full employment? e. Recalculate question (d) for the case in which potential output Y* equals 9,000.Consider an economy with the following information: Y = C + I + G, C=180+0.7( Y-T), I= 100-18i + 0.1 Y, T =400, G=400, P=1, M=5400, L=6Y -120i, M/P=L Derive the IS equation. Derive the LM equation. Solve the IS-LM to obtain the equilibrium output and the interest rate
- 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).2. In the IS-LM model, what is the effect of an increase in government purchases? Draw an IS-LM diagram to illustrate. In this question, it is not necessary to include the FE line. a) What is the effect on output and the real interest rate? b) What is the effect on investment spending? c) If the LM curve had been horizontal, explain how your answers to a and b would have been different.Assume the following IS-LM model:Expenditure sector: Money sector:C = 100 + (4/5)YD I = 300 - 20i M = 700G = 120 TA = (1/4)Y P = 2 YD = Y - TA NX = -20 Md = (1/3)Y + 200 - 10i a) Derive the IS and LM equations for the above model.b) Draw the IS and LM curves. What are the equilibrium values of output (Y) and interest rate(i)? Show these values on the graph you drew. Derive the equilibrium values of consumption (C) and money demand (Md).c) How much investment (I) will be crowded out if the government increases its purchases by ΔG = 160 and nominal money supply (M) remains unchanged? Show how this increase in government purchases would affect the graph in part (b) by drawing a new graph.
- . Consider the following IS-LM model (all amounts are in millions of dollars): C = 50 + 0.6 YD T = 20 G = 300 I = 450 + 0.2 Y - 1500 i Derive the IS equation in the form Y = function (i, ….). The central bank sets an interest rate of 10%. What is the full SR model eqm Y? Use (M/P)d=3Y– 4000i to calculate what the real Ms is at this full SR eqm. Graph this eqm in 3 separate graphs: i-Y, i-(M/P), and Z-Y spaces. You may link these graphs up or leave them separate. Suppose Congress decides to decrease G from 300 to 295, cet. par. Provide a specific $ amount for the new eqm Y. Show this “shock,” with its appropriate name, in the 3 graphs of part b. above. Present and discuss all changes in all components of IS and LM using…1- If government expenditure (∆G) is increased by AED 400, and tax (∆T) has also increased by AED 400, Marginal propensity to save is given as 0.25, what would the increase in National Income (∆Y)? 200 300 400 500 2- For an economy, the central bank has increased the money supply, what would happen to LM curve? It will shift to right It will shift to left It will not shift None of the options are correct 3- Which of the following sequence of events follows an contractionary fiscal policy? Increase in government expenditure and tax Decrease in tax and government spending Decrease in government expenditure and increase in ta Increase in government spending and decrease in Tax 4- Suppose for an economy following information is given. Consumption (C) = 40+0.75(Yd), Tax (T) = 80 Million AED ; I= 140-10r; Government spending (G) =100; Money demand = 0.2Y -5r ; Money supply = 85 million AED. a. Compute the equilibrium Income Y and rate of Interest (r) ? b. Suppose…The consumption function is given by: C = 200+0.75 (Y-T). The investment function is I = 200-25r. G =100 T=100 1. The money demand function is Md = Y-100r. The Money supply M is 1000 and price is 2. Derive the LM equation.2. Find the equilibrium interest r and the equilibrium level of income Y, investment and consumption3. Suppose that the government purchases (G) raised from 100 to 150. How much does the IS Curve shift? What are the new equilibrium interest r and level of income, y? If there is no crowding out effect, what is the full multiplier effect of the change in G?
- Consider the following IS–LM model: C = 100 + .25YD I = 50 + .25Y - 1000i G = 150 T = 100 (M/P) d = 2Y - 8000i (M/P)s = 1000 a. Derive the IS relation b. Derive the LM relation c. Solve for equilibrium real output. d. Solve for the equilibrium interest rate e. Solve for the equilibrium values of C and I f. now suppose that the money supply increases to M/P = 1010. Solve for T, f. suppose that government spending increases to G = 155 What is the value of money supply? g. From what we studied, which policy, expansionary fiscal policy or expansionary monetary policy will undoubtedly increase investment.Question Consider that the Ghanaian economy is a small and close, which is characterised by the following. AD=C+I+G+NX C=a+bY* Y*=disposal income T=T0 I=I0 G=G0 Md/P=Ld(Y,i) Ms=money supply ,which is given . AD=Aggregate demand ,C=consumption,G=Government expenditure ,T=Tax,P= Pricelevel,I=Investment,NX=Netexports (a) Consider an increase in Government spending ∆ > .Assume for now that both price and expected price are fixed. Also assume that government does not implement any other policy than the increase in Government spending. What is the effect of this policy on the goods market? (b) What is the effect on equilibrium in the money market? Present your answer in swells labelled diagram, showing both money supply and demand before the policy was implemented, and that after the policy was implemented in the same graph. (c) Solve for equilibrium in the goods market. d) Suppose the policy change is rather a increase in real money supply not a decrease in government spending.What…Assume the following model of the economy: Y = C + I + G C = 120 + 0.5(Y - T) I = 100 - 10r G = 50 T = 40 Md = Y - 20 r Ms = 600 P = 2 Graph both the IS and the LM curves. Use r = 5, 10, 15 What are the equilibrium level of income and equilibrium interest rate?
