2.2 Consider the following functions for a model economy: Consumption: C-C, +c (Y-T) Investment: 1-1, +a Y -br Labour Supply: BN - W/P Money Demand: L-L, + kY - hi Production Function: Y AK N Tax Revenue: T-T, +tY All variables with a subscript 0 denotes the autonomous component, e.g. C, is autonomous consumption. All lower-case letters (except the real interest rate r and the nominal interest rate I) are parameters. Government expenditure (G), the money supply (M), the level of technology (A) and capital stock (K) are all exogenously given. N is the level of labour employed. For this economy, the general price level (P) and the nominal wage rate (W) are fully flexible. The expected inflation is assumed to be zero.
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- in a closed economy with no government, where aggregate demand is determinedby autonomous consumption, investment (which is independent of output), and themarginal propensity to consume.a) Given that autonomous consumption is 20, investment is also 20, and the marginalpropensity to consume is 0.6, write out an equation for aggregate demand (AD) in thiseconomy. b) Given this aggregate demand equation, and the equilibrium equation Y = AD, usealgebra to find the equilibrium level of Y. c) Draw a diagram with output (Y) on the x-axis and aggregate demand (AD) on the yaxis. Draw two lines on this diagram: (i) Y = AD, and (ii) the aggregate demandfunction from part (a). Label the intercept of the AD line, and the point where the twolines intersect, with numerical values. (3 marks)d) Suppose that the marginal propensity to consume falls from 0.6 to 0.5. What wouldthe new equilibrium level of Y be? Illustrate your answer in the diagram you drew forpart (c). (2 marks)e) Calculate the value of…You are given data on the following variables in an economy: Government spending 300 Planned investment 200 Net exports 50 Autonomous taxes 250 Income tax rate 0.1 Marginal propensity to consume 0.5 Use the data above to answer the following questions. Consumption (C) is 600 when income (Y) is equal to 1500. Solve for autonomousconsumption. Solve for the equilibrium level of output in the following two scenarios: there isan income tax t=0.1, there is no income tax in the economy. Denote these two variablesby and respectively. In the economy with an income tax of 10%, what is the budget balance of thegovernment? Solve…Course: Macroeconomic - IS-LM Model Prove mathematically the following: Given an increase in the proportional tax on income(t), what happens to the level of output and to the tax?" . Hint: for demostration, use the IS general function for a closed economy Y = C + I + G, where C = a + c*YD and YD = Y + TR - Y*t (where t = proportional income tax) and realize changes i.e., from "t1" to "t2"
- We again assume asimple closed economy with GDP of 100 and:c0(autonomous consumption) = 20c1 (marginal propensity to consume) = 0.6I (investment) = 20.a) Now assume that c0falls by 5 (i.e. 5% of GDP), i.e. for any given level of output,consumption will fall by 5. Show the implied fall in the AD function in yourdiagram and show that output will fall by more than 5.b) Show that the multiplier is equal to 2.5, and hence that, in the new equilibrium,output will have fallen by 12.5 (i.e. by 12.5%)c) How big would the impact be if, say, c1 = 0.4 or c1 = 0.8? Explain the difference.Suppose that for a particular economy, for some time period, consumption was given by theconsumption function C = 300 + 0.9YD, investment was equal to 200, government expenditure wasequal to 100, net taxes were fixed at 100, exports were equal to 200, and imports were given by theimports function Z = 10 + 0.1YD. Note that YD represents disposable income. a.Suppose households earn $150 more in their disposable income. How much more would theyconsume in total? How much go to domestic goods and how much go to imported goods? Howmuch would they end up saving? b.What is the level of equilibrium income? What about the level of consumption and import? c.What are the values of the government spending multiplier, tax multiplier and balanced-budgetmultiplier? d.Suppose the investment level suddenly declined by 20. How should the government stabilize theeconomy? Please provide all options in detailplease explain each question. 1. We assumeconstantMPC in our model. Is this assumption true in the real world? 2. What determines the proportion of bonds/money that the household keeps? 3. What effect an increase of government spending will have on the output equilibrium in the goods market? Explain using autonomous spending.
- In our construction of the savings and investment model, weconsidered government spending to be immediate spending. In otherwords, there was no “investment” component to government spending.Let’s change up that assumption. Suppose government spending comesin two types: investment spending (new airports, for example) aswell as government consumption (snow plowing, for example). Callthe first GI and the second GCE.1. Show that equilibruim level of income is at a point where consumption plus investment schedules intersect the 45 degree line. 2. Suppose the level of autonomous investment in an economy is K200,000 and the consumption function is given below as c = 80+0.8Y, what will be the equilibrium level of income. 4.if MPcC is 0.8, what will be the increase in the level of income if investment is increased to K400,000. 5. What increase in investment is needed to raise the income by K4000, if MPC is 0.75? How much will be the increase in consumption and saving due to this increase in income. 3. Given the consumption level C= 50 + 75Y, if we assume autonomous investment is K200,000 at what level of income will savings become equal to investment?Suppose we are in an economy with rich households and poor households. Rich and poor households have different consumption functions, with Cpoor = 100 + 35(Y poor − Tpoor) Crich = 100 + 15(Y rich − Trich) where Y rich, Y poor are the incomes of rich and poor households and T rich, T poor are the taxes faced by rich and poor households. We also have I = 200,G = 100, T = T poor + T rich = 100. Closing out the model, Y = C + I + G = Cpoor + Crich + I + G a Suppose that Y poor = Y rich Y2 (in other words, the total income of poor households is equal to total income of rich households.) Supposing further that T rich = T poor = 50, calculate equilibrium output Y . b Now suppose that Trich = 40,Tpoor = 60. What is equilibrium output now? c How can the government increase output without changing the deficit (hint: think about the difference between output in b and output in c.) d Now assume that T rich = 40, T poor = 60, but instead of output being split equally between rich and poor…
- i need this in word not handwritten Q7. Assume that in 2015, the following prevails in the Republic of Nurd: Y = $200 G = $0 C = $160 T = $0 S = $40 I (planned) = $30 Assume that households consume 80 percent of their in- come, they save 20 percent of their income, MPC = 0.8, and MPS = 0.2. That is, C = 0.8Yd and S = 0.2Yd. Is the economy of Nurd in equilibrium? What is Nurd’s equilibrium level of income? What is likely to happen in the coming months if the government takes no action? 2. If $200 is the “full-employment” level of Y, what fiscal policy might the government follow if its goal is full employment? 3. If the full-employment level of Y is $250, what fiscal policy might the government follow? 4. Suppose Y = $200, C = $160, S = $40, and I = $40. Is Nurd’s economy in equilibrium? 5. Starting with the situation in part d, suppose the government starts spending $30 each year with no taxation and continues to spend $30 every period. If I remains constant, what…Note: I need help with parts d, e, and f only Following is information for the economy of Sparkle. All units are milliondollars. Their autonomous consumption is $700, and the marginal propensity to consume is 0.8.Investment spending is constant at $380, and government expenditure is constant at $300.Exports are constant at $500, and imports are constant at $800. Net taxes are constant at $100.Calculate and state your answers for the following questions.a) What is the value of consumption in this economy when the real GDP is $1100?b) What is the value of autonomous aggregate planned expenditure i.e. AE0?c) What is the value of equilibrium aggregate expenditure for this economy?d) What is the value of unplanned changes in the inventory investment when real GDP is$4000?e) What is the size of the multiplier in this economy?f) If investment spending increases by $50, what would be the value of the change in theequilibrium real GDP?Assume that in 2015, the following prevails in theRepublic of Nurd:Y = $200 G = $0C = $160 T = $0S = $40I (planned) = $30Assume that households consume 80 percent of their income, they save 20 percent of their income, MPC = 0.8,and MPS = 0.2. That is, C = 0.8Yd and S = 0.2Yd.a. Is the economy of Nurd in equilibrium? What is Nurd’sequilibrium level of income? What is likely to happen inthe coming months if the government takes no action?b. If $200 is the “full-employment” level of Y, what fiscal policy might the government follow if its goal is fullemployment?c. If the full-employment level of Y is $250, what fiscalpolicy might the government follow?d. Suppose Y = $200, C = $160, S = $40, and I = $40. IsNurd’s economy in equilibrium?e. Starting with the situation in part d, suppose the government starts spending $30 each year with no taxationand continues to spend $30 every period. If I remains