g. Suppose that taxes are not exogenous as suggested at the beginning of this task but, rather, endogenous and that they are proportional to the income earned by households according to the following expression: T = tY where 0 < t < 1 is the tax rate. In words, describe how this change would affect your IS/LM model and the equilibrium in the economy. Compute again the equilibrium output and interest rate you computed in b) but by assuming that taxes are now proportional to income and that the tax rate is 8% (t=0.08). Comment on your findings.

g. Suppose that taxes are not exogenous as suggested at the beginning of this task but, rather, endogenous and that they are proportional to the income earned by households according to the following expression: T = tY where 0 < t < 1 is the tax rate. In words, describe how this change would affect your IS/LM model and the equilibrium in the economy. Compute again the equilibrium output and interest rate you computed in b) but by assuming that taxes are now proportional to income and that the tax rate is 8% (t=0.08). Comment on your findings.

Macroeconomics

13th Edition

ISBN:9781337617390

Author:Roger A. Arnold

Publisher:Roger A. Arnold

Chapter15: Monetary Policy

Section: Chapter Questions

Problem 4WNG

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In a small closed economy, its aggregate demand and output are given as the equations below, Y = C + I + G; national output or GDP. C = 100 + 0.5(Y-T); consumption, marginal propensity to consume MPC = 0.5. I = 150 – 10*r; investment is a negative function of real interest rate (r as %). (M/P)d = Y – 20*r; real money demand which is adjusted by price level (inflation). G = 200; as government spending. T = 200; as tax. M = 2,400; as money supply. P = 4; the price level. (1) With the equations above, try to derive the IS curve. Tip: recall IS curve represent the relation between national output (Y) and real interest rate (r) in goods market. To derive IS curve, you need to put all components of Y together and find its connection with r. (2) Use the same equations, now try to derive the LM curve. Tip: recall LM curve represent the relation between national output (Y) and real interest rate (r) in money market. So to derive LM curve, you need to consider money supply and demand.…
Consider a macroeconomic model for an open economy with the government. Consumption is given by C = 250 + bYd, where b = 0.8, Yd = (1-t)Y, and t = 0.1. Investment is given by I = 1,200 – 2,000R, and net export is given by X = 525 – 0.1Y – 500R. Assume that G = 1,200. Money demand is given by (Md/P) = 0.1283Y – 1,000R. Assume that P = 1, and the fixed money supply is given by (Ms/P) = 900. Drive the expression for the IS curve from the model. Drive the expression for the LM curve from the model. Drive the IS-LM equilibrium from the model.
Consider an economy described by the following equations. Y= C + I + GC= 100 + .75 (Y - T)I= 500 - 50rG= 125T= 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. Answer the questions based on the following equations above. a. What is the value of the multiplier? b. What is the equilibrium equation for Y? Show your solution. c. 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. d. 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. e. In this case, explain the policy that was used by the policymaker to target the aggregate demand.
IS-LM model is defined via seven equations given below: C=15+0.8(Y-T) T= -25+0.25Y I=65-R G=94 X=50-10-0.1Y L=5Y-50R M=1500 C: Consumption, Y: Income, T: Tax, I: Investment, R: Interest Rate, G: Government Expenditure, X: Net Exports, L: Money Demand and M: Money Supply. Solve this system for Y and R in the matrix format by reducing it to IS and LM equations. Calculate government and trade deficits. Note that IS-LM structure is based on Y and R.
Consider a scenario of a closed economy in the short run where price level is fixed. Assume that both taxes and money supply increase in a way that keep output constant in equilibrium (suppose that the marginal propensity to consume is less than one). Which of the following may result from the policy change? a) It will lead to an increase in investment but a decrease in consumption.b) It will result in an increase in investment but a decrease in government spending.c) It will lead to an increase in investment and private saving.d) It will decrease investment but increase in public saving.
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 a) Get the total differentials of the above system of equations and put your answer in matrix representation. 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 i) dY/dG ii) 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
Assume a two-sector economy model is given by: Y = C + I, C = 97 + 0.7Y, I = 180 – 125i M s = 255, L 1 = 0.2Y, L 2 = 220 – 175i where Y is income, C is consumption, I is investment, i is rate of interest, M s is money supply, L 1 is transactionary demand for money and L 2 is speculative demand for money. a) Find the equilibrium income level and interest rate, together with equilibrium levels of C, I, L 1 and L 2 . b) Show what happens to the equilibrium conditions if autonomous investment falls from 180 to 110. c) Demonstrate your answers to (a) and (b) graphically.
Consider the monetary intertemporal model. Payments can be made with either credit cards or with money, and we denote the amount of transactions in real terms with credit cards as X. The bank is willing to supply credit card services as a function of Xs(q) where q is the cost per unit of credit. The money supply is given by Ms and the goods market and the labour market are as we described in the real intertemporal model Assume that the government introduces a tax on credit card services. That is, if a consumer or a firm holds a credit card balance of X, they are taxed tX where t is the tax rate. Determine the effects on the equilibriums price and the quantity of credit card services, the demand for money, and the price level
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 only
The following question relates only to the equilibrium in the goods market IN A CLOSED ECONOMY and asks you to carry out a graphical analysis using both the Keynesian cross diagram together with the IS-MP diagram. >>) Suppose after the government has implemented the reduction in taxation that the central bank wants to keep the level of investment at the same level as before the tax reduction. How can the central bank intervene in the market to achieve this goal? Explain and illustrate graphically how the central bank can keep investment at the same level as before. Is there any additional impact of the central bank intervention on output, consumption and interest rates? If so what is the impact?
Assume 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. a) What is the equilibrium level of interest rate determined at the money market?
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.