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- (a) Suppose in a simple Keynesian economy, planned consumption function is given by C=250+0.65(Y-T). Planned investment, government purchases, taxes are $100 million, $100 million and $150 million respectively. What is MPC, MPS and autonomous consumption Derive the saving function. What is the equilibrium level of income? Y= AD=C+I+G If government purchases increase to $150 million, what is the new equilibrium level of income? What level of government purchases is needed to achieve an income of $2000 million? From question e) you get the newly government purchase. Now find out the multiplier value What is the amount of shift in AD curve? [Use the multiplier value from e)] (b) In a self-regulating economy “X”, labor supply is 40 million but labor demand is 10 million. What will happen in goods and service market simultaneously? Explain this situation with relevant graph. Based on your findings in a) is it denoting long run equilibrium? If not, will the economy be able to restore…Suppose the consumption function is given by C(Y)=60+0.8(Y-T) where Y represents output and T stands for net taxes. Suppose further that the level of investment, I, is 400, the level of government expenditure, G, is 300, and net taxes, T, are 200. What is the equilibrium level of output in this economy? a. 1720 b. 3000 c. 1590 d. 72016. Suppose that planned investment and planned government purchases do not depend on income:I = 15 and G = 17. Consumption, as you would expect, does depend on income via the consumption function C = 2 + 0.75Y – 0.75T. Net taxes are T = 12. Your friend thinks that the equilibrium will be where Y = 150 but he is wrong. What is the best description of this situation? a. the (Y, AE) point is above the 45 degree line, Y will adjust down b. the (Y, AE) point is above the 45 degree line, Y will adjust up c. the (Y, AE) point is below the 45 degree line, Y will adjust down d. the (Y, AE) point is below the 45 degree line, Y will adjust up 17. (continued) Help you friend by calculating the equilibrium income for the AE model in the previous question. Y = _____
- 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)?a) Draw a consumption function and label the axes.b) Suppose that your friend has a consumption function of the form y=1.4x+200. Is this function sustainable in the long run? Why or why not?c) Suppose that your consumption function is y=0.75+1000. What is your marginal propensity to consume? What is your autonomous expenditure?d) State the permanent income hypothesis.e) Suppose that I raise your income today by $10, and lower it tomorrow by $10. How would your behavior change according to the consumption function (aka Keynesian, aka rule-of-thumb) model? And what about according to the permanent income hypothesis model?For an economy the following functions have been given:C = 100 + 0.8YS = -100 + 0.2YI = 120 – 5rMs = 120Md = 0.2Y – 5rCalculate the following:5.1.1. IS equation 5.1.2. LM equation 5.1.3. Equilibrium level of income 5.1.4. Equilibrium level of interest rate. 5.1.5 Calculate National saving. 5.1.6 Calculate money demand 5.1.7 Find consumption
- 5 3. permanent Income Hypothesis a) suppose that beta=.9 and R= 2222 (that is ~22%). For an individual who acts according to the PIH, will their consumption next period be higher than current consumption or lower? b) What is the main crucial difference between the Keynesian Consumption function and the consumption function derived from the PIH (or Lifetime Income Hypothesis)? c) If Present Value of future income stream is 500,000 and a person has a beta of.8, how much will their consumption go up today if only today's income increases by 1000? How much will their consumption increase (approximately) if their income goes up by 1000 in all periods?2. Public consumption of a country (two sectors) is indicated by the function C = 60 + 0.4Y. Calculate:a. Find the saving function.b. If the investment that occurs is 300, determine the balance national income.c. What is the consumption of the people of the country if the national income is 400.d. How much is the savings of the people of the country if the national income is 400.e. Make a graphical sketch of the consumption and saving functions in one image. Please solve subparts d,e thank u1. According to the Bureau of Economic Analysis, during therecession of 2007–2009, household saving as a fraction of dis-posable personal income increased from a low of just over1 percent in the first quarter of 2008 to 5 percent in the secondquarter of 2009. All else equal, what impact would this changein saving have on the MPC, MPS, and multiplier? How wouldthis change affect equilibrium output when planned invest-ment changes? 2. Assume in a simple economy that the level of saving is –500 whenaggregate output equals zero and that the marginal propensity tosave is 0.2. Derive the saving function and the consumption func-tion, and draw a graph showing these functions. At what level ofaggregate output does the consumption curve cross the 45° line?Explain your answer and show this on the graph.
- 2. Public consumption of a country (two sectors) is indicated by the function C = 60 + 0.4Y. Calculate:a. Find the saving function.b. If the investment that occurs is 300, determine the balance national income.c. What is the consumption of the people of the country if the national income is 400.d. How much is the savings of the people of the country if the national income is 400.e. Make a graphical sketch of the consumption and saving functions in one image. Please solve sub parts a,b,c thank uSaving 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.Please see attachment Answer neatly Show all your work. Based on the above diagram: 1. Calculate MPC? 2. If Private Investment increases by 100, calculate the new level of NI. 3. If full-employment NI is at 3000, by how much should Government spending change? 4. What is the new NI, If 1/2 of those government expenditures are financed through taxes?