Given the following information: C = Ca + 0.8Yd Ip = 1900 - 40r G = 1800 NX = 700 - 0.14Y T = 200 + 0.20 Y Ca = 260 - 10r Md/P = 0.25Y - 25r Ms/P = 2000 Find: 1. The equilibrium level of interest rate and output. 2. If Government expenditure increased by 100, find the new equilibrium level of interest rate and output
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- 1. Suppose that the economy can be described by the following equations: C = 400 + (8/9)*DI I = 300G = 800T = (1/2)*Y (X – M) = 0. a. If national income (Y) increased by $1, by how much would consumption increase? What is the name of this concept?b. Find the equilibrium level of output.c. The budget for this fiscal year increases government spending by $50. i) Sketch the effect of the increase in government spending.ii) Calculate the new equilibrium level of income.iii) Calculate the change in income and compare to the increase in government spending. Comment.iv) Given your numerical answer in part (iii), calculate the change in national income when government spending increases by one dollar.v) Derive the actual value of the fiscal multiplier using an algebraic equation. Compare to part (iv).Now G assumes its original value of G = 800.d. Congress decreases the tax rate from (1/2) to (1/4) i) Sketch the effect of the decrease in the tax rate. ii) Calculate the new equilibrium level of…1. Suppose that the economy can be described by the following equations: C= 400 + (8/9)*DI I= 300 G= 800 T=(1/2)*Y (X -М) 3 0. a. If national income (Y) increased by $1, by how much would consumption increase? What is the name of this concept? b. Find the equilibrium level of output. c. The budget for this fiscal year increases government spending by $50. i) Sketch the effect of the increase in government spending. ii) Calculate the new equilibrium level of income. iii) Calculate the change in income and compare to the increase in government spending. Comment. iv) Given your numerical answer in part (iii), calculate the change in national income when government spending increases by one dollar. v) Derive the actual value of the fiscal multiplier using an algebraic equation. Compare to part (iv). Now G assumes its original value of G = 800. d. Congress decreases the tax rate from (1/2) to (1/4) i) Sketch the effect of the decrease in the tax rate. ii) Calculate the new equilibrium level…: An economy is described by the following equations: Z=C+l+G C=600+0.6(Y-T) I=300 G=700 T=600 ) What is the value of the multiplier? Show your derivations. D) If G increases by $200, by how much will equilibrium output increase? Show your derivations. E) What is the propensity to save in this economy? Show your derivations
- Interest rate 4% 3% + $50 500 530 0₂ D₁ Savings, investment, government borrowing (millions of dollars) Consider the graph of Nation A which is in recession and in order to increase the economy the government chooses to raise the spending and decides to borrow $ 50 million to construct famous economists statues. Decide which of the given statements is true? a) There will be an increase in investment spending beyond $530 million. b) There will be a decline in investment spending to $480 billion. c) There will be an increase in consumption of $30 million. d) There will be a net change in aggregate spending of 30 million.Let: 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…1. Suppose the households in a hypothetical economy has the following consumption function C= a + cYd. Where is the disposable income. The government in this economy imposes a tax rate of to households’ income (ex. A means that 10% of households’ income goes to tax payments). a. What is the equation that describes the disposable income of households? b. What is the Planned Expenditure Equation? Assume that government expenditure is exogenous and Investment function is given by the equation I = I-br Where is the interest rate. c. Derive the equilibrium output in the goods market and show that the multiplier in this model is 1/1c(1-t). d. How does and the tax rate affects this multiplier (e.g., what happens to multiplier if c increases cet.par. , or if tax rate increases, cet.par)?
- = 450 + 0.4Y I = 350G = 150X = 70Z = 35 + 0.1Y T = 0.15YYf = 1550Q.2.1 Calculate the level of autonomous spending in this economy.(2)Q.2.2Calculate the size of the multiplier(Note: Round your answer to two decimal places)(4)Q.2.3Calculate the equilibrium level of income (Hint: use the multiplier method)(2)© The Independent Institute of Education (Pty) Ltd 2020Page 6 of 10 202020Q.2.4Q.2.5Q.2.6Question 3Calculate the tax revenue to the government of this country when the economy (2) remains in equilibrium.Calculate what the new equilibrium income should be if the government of this (6) country decides to cancel all taxes, implying the tax rate would now be 0%.Before the government decreased the tax rate, how much of government spending was required to bring the economy to full employment?Mathematical economics: For an economy the following consumption function is given : C = 60+0.75 Y. %3D (a) If investment in a year is $35 crores, what will be the equilibrium level of income or output ? (b) If full-employment level of income (i.e., level of potential output) is $460 crores, what investment is required to be undertaken to ensure equilibrium at full employment ?Macroeconomics Question No.2 Suppose the consumption function is given by C = 100 + 0.8YD and that I = 50, while G=200, TR=62.5 and t=0.25. What is the equilibrium level of income? What is the level of saving in equilibrium? If investment were to rise to 150, what would be the effect be on equilibrium income. What is the value of multiplier in part a. and c. Draw a diagram indicating the equilibrium in part a. and c.
- 23) If the marginal propensity to consume (MPC) is 0.8 and if government spending (G) rises by $50 while investment (1) falls by $20, by how much will equilibrium income rise? (Jika kecenderungan mengguna sut (MPC) adalah 0.8 dan jika perbelanjaan kerajaan (G) meningkat sebanyak $50 manakala pelaburan (1) jatuh $20, berapakah kenaikan pendapatan keseimbangan meningkat?) $12 $30 O $120 $1503. Suppose an economy with the following characteristics. Y = Real GDP or national income T= Taxes = 0.3Y C = Consumption = 140 + 0.9(Y – T) I= Investment = 400 G= Government spending = 800 X = Exports = 600 M= Imports = 0.15Y Given the information above, a. What is the saving function in this economy? b. What is this economy's spending multiplier? c. What is the equation for Aggregate Expenditures (AE) in this economy? d. Given AE equation, what is total demand for this economy! e. Derive Aggregate Demand (AD) curve and Long Run Aggregate Supply (LRAS) curve based on the equation you answered!Saving function = S=- 500 + 0.25 Y, I = 400 - 1250 i Ms = 1200, Mt = 0.20 Y, Mp = 0.05 Y and Msp = 500 - 1300 i a) Calculate Y and i equilibrium b) If the government increase its expenditure by 100, what is the rate of national income growth and how many percent the effectiveness of this policy? c)Draw the graph completely.