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- 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)?4. Consider a consumption function given by C = 0.8Y + 2000 Assume first a closed economy with no government. (Then income = disposable income) a. If investment is x, draw the aggregate expenditure function (which depicts total consumption plus investment for every level of income). Include in your graph the original consumption function and the aggregate expenditure function. b. If investment is x, mathematically determine the equilibrium level of income. (Hint: remember the equilibrium condition and note that the equilibrium level of income will be a function of x, the investment amount) Assignment 3 - ECO211 c. If investment increases by 100: i. ii. Determine the change in equilibrium income using the multiplier effect. Determine the change in your equilibrium income using the equilibrium you derived from (b). Are your answers the same? Now, enter a government that levies a tax on the consumers. The economy is still closed. Now, disposable income equals income minus taxes. d. If…2. The consumption function Consider a country with the national income of $12 billion, the amount of taxes paid by households of $3 billion, and household consumption of $7 billion. Suppose that the marginal propensity to consume (MPC) is 0.75. On the following graph, use the blue line (circle symbol) to plot the economy's consumption function. Hint: You should plot the first point where household consumption equals $7 billion. Then, plot the second point when real disposable income rises by $4 billion. REAL CONSUMPTION (Billions of dollars) 20 18 16 + 14 12 10 0 0 2 4 6 8 10 12 14 16 18 20 REAL DISPOSABLE INCOME (Billions of dollars) -0 O $7.75 billion O $9.75 billion O $7.5 billion O $10.75 billion Consumption Function (?) Suppose now that country's national income increases to $13 billion. Assuming the amount paid in taxes is fixed at $3 billion and MPC= 0.75, what will be the new household consumption?
- Suppose now that country's national income increases to $35 billion. Assuming the amount paid in taxes is fixed at $12 billion and MPC = 0.7, what will be the new household consumption? $22.3 billion $21.6 billion $23.7 billion $19.5 billion2. We have the following information on the economy: - Aggregate consumption is $1,000 when aggregate disposable income is zero. - When aggregate disposable income is $17,500, aggregate saving is $2,500. a. Find the equation for the aggregate consumption function. b. The planned investment in this economy is $2,000. Find the equation for the aggregate expenditure function.7. The consumption function Consider a country with the national income of $11 billion, the amount of taxes paid by households of $3 bilion, and household consumption of $7 billion. Suppose that the marginal propensity to consume (MPC) is 0.75. On the following graph, use the blue line (circle symbol) to plot the economy's consumption function. Note: Select and drag the line segment from the palette to the graph. Then select a point on the line segment and drag it to its desired position. CONSUMPTION (Bons of dollars) u) 18 10 12 10 4 6 16. 12 14 14 DISPOSABLE INCOME (ons of dollars) 18 M Consumption Function
- B) In a closed economy, the functions for consumption, investment, government expenditure and taxation are given as below (in RM million). Consumption function : C=500 + 0.75 Yd Investment function | = 800 Government expenditure :G = 400 Тахation :T= 200 + 0.2 Y i. Find the equilibrium level of national income for the economy stated above. ii. Draw a graph to show the equilibrium of national income by using AD=AS approach. Find the total value of taxation when the national income is at equilibrium. iii.7. Question 3. The consumption function Consider the hypothetical country of Kejimkujik. Suppose that national income in Kejimkujik is $12 billion, households pay $4 billion in taxes, household consumption is equal to $6 billion, and the marginal propensity to consume (MPC) is 0.625. On the following graph, use the blue line (circle symbol) to plot the economy's consumption function. CONSUMPTION (Billions of dollars) 20 18 16 14 12 10 8 OF 6 4 2 0 6 8 10 12 14 16 DISPOSABLE INCOME (Billions of dollars). 18 20 Consumption Function2. Suppose that consumption equals $500 billion when the disposable income is $0 and that each increase of $100 billion in disposable income causes consumption to increase by $70 billion. a. Draw a graph of the consumption function using this information. The axes must be labeled correctly, and the consumption function should have at least two points on the graph (correct coordinates). b. What is the Marginal Propensity to Consume in this economy? How did you arrive at your answer? Please show your work. Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.
- Suppose you have the following information about a fictitious economy. Assume there are no taxes in this economy. Disposable Income and Consumption Disposable lIncome (dollars) SO Consumption (dollars) $4,000 11,000 8,000 16.000 24,000 32,000 40,000 18,000 25,000 32,000 39,000 structions: In parts a and c, enter your answers as a whole number. In part b, round your answers to1. Assume in a simple economy that the level of saving is –500 when aggregate output equals zero and that the marginal propensity to save is 0.2. Derive the saving function and the consumption function, and draw a graph showing these functions. At what level of aggregate output does the consumption curve cross the 45° line? Explain your answer and show this on the graph.2. Use your answer to the previous problem to calculate the MPC, MPS, government spending multiplier, and tax multiplier. Draw a graph showing the data for consumption spending, planned aggregate expenditures, and aggregate output. Be sure to identify the equilibrium point on your graph. Sorry, these two questions are linked. I totally forgot.Q1:You are given the following income-expenditures model for an economy : Consumption C = 300 + .64Yd Tax (T) = $60 Government expenditure G = $100 Investment (I) = $120 From above data calculate the follows: 1. Equilibrium level of income 2. At the equilibrium level of income, what is the amount of consumption?