4. Suppose an economy had aggregate demand components with the following relationships: Consumption Spending, C=195+0.80° (DY) Investment Spending, I-25 +0.10°Y Government Spending, G-6+0.15*Y Net Export Spending, X-14-0.05*Y Tax Collections, Tx = -20+0.25*Y a. What is the equilibrium income for this economy (Show your work)? b. At the equilibrium income, what is the size of the government surplus (or deficit)? den Cal Page 3 601 c. If the Government decided to Increase G spending by 15, what would be the new equilibrium income for this economy (Show your work)? d. If instead the Government decided to Reduce Tx (taxes) by 6, what would be the new equilibrium income for this economy (Show your work)? yanoM e. If instead the Government decided to Increase G spending and Increase Tx (taxes) both by 30, what would be the new equilibrium income for this economy (Show your work)?

2. Consider an economy that is characterised by the following set of equations: C co + c¡Yp Yp Y – T I bo + bịY Government spending (G) and taxes (T) are constant. Note that investment (1) is proportional to output (Y). a) Solve for equilibrium output. b) Using your answer derived in (a) identify and discuss the multiplier. How does the relation between investment and output affect the value of the multiplier? c) For the multiplier to be positive what condition must be satisfied? Please note: The two questions are equally weighted in terms of marks. To help explain your answers and analysis, you should always attempt to use diagrams, mathematical demonstration where applicable and convey the economic intuitions behind the results. Do not forget to label your graphs. Key Marking criteria will include: • Initiative: Originality, innovativeness of answer • Assignment Structure: Clarity of aims, objective, structure and presentation • Quality of Writing: Readability and ability to convey…

Assume that the economy is now governed by a government and begins trading with other economies. The economy is described by the following set of equations. ?=1000+0.5⋅?d ID = 600 G=700 T=400 EX=0.1⋅Y IM=100+0.1⋅Y YD = Y - T Calculate the equilibrium level of output Y* a) 2857 b) 4000 c) 6274 d) 4400   Whats the government expenditure multiplier? Whats the tax multiplier? Whats the ba;anced budget multiplier?

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…

Assume that a nation's marginal propensity to consume (MPC) is 0.75. A highiy productive, cost-cutting technology is developed for the production of commercial airplanes. The total industry expenditure in this nation is $100 million for the immediate acquisition and adoption of this technology. (a) For this nation, identify and explain how much this spending on new technology will change each of the following in the first round: i. Income (GDP) L. Saving i. Consumption (b) Assuming a closed economy and no leakages, identify and explain how much this spending on new technology will change each of the following at the end of the final round: i. Income (GDP) ii. Saving li. Consumption

4. a) Draw a TP-TE (or Keynesian cross) graph for South Africa. Suppose Real GDP is $425 billion while the Real GDP where TE=TP is $475 billions. total, Expenditure (billions) TE-TH HEL th I 1 45 425 Q2 475 Q1 TP - TE total Production (billions) b) If Real GDP is $425 billion, what will happen to inventories, to firm's production and to the Real GDP? Inventories will decrease and Production will increase GDP increases to $475 billion and real

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 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)?

O Use the information in the following table to do exercises 8-15: 948 Y C $120 $300 $480 $700 sin $660 $100 $300 $500 JAZI I $20 $20 $20 $20 G $30 $30 $30 $30 X $10 -$10 -$30 -$50 1

The aggregate demand function: yad =C+1+G₁ = 500+ 0.75Y is plotted on the graph to the right. The graph also shows the 45° line where aggregate output Y equals aggregate demand yad for all points. What happens to aggregate output if government spending rises by 100? The equilibrium level of output rises by $ billion. (Round your response to the nearest billion.) Consumption Expenditure, C ($ billions) 3000- 2800- 2600- 2400- 2200- 2000- 1800- 1600- 1400- 1200- 1000- 800- 600- 400- 200- 0- 0 yad =C+I+G₁ = 500 +0.75Y Y = yad 45° 400 800 1200 1600 2000 2400 2800 Disposable Income ($ billions)