Given the following set of equations for an economy model: Consumption expenditure Investment C = A+b YD I = I* - Ir %3D Tax Revenue T = T* + tY %3D Import Disposable Income I*, G*, X* and M* are autonomous investment, government spending, autonomous export dan autonomous import, respectively. M = M* + mY YD = Y - T (a) Sovle the above set of equations to obtain the equation of IS curve in the form of Y = f(r).
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- The national income model for an economy is represented as follows (units are in Ksh.M) Y = C + I + G + X – M I = 320 + 0.20Y G = 980 C = 540 + 0.80Y M = 640 + 0.25Y X = 850 Y = National income; C = Consumption; I = Investment; G = government spending; X = Exports; and M = Imports. Determine the following.TRUE or FALSE: This model has three endogenous variablesAnswer 1Choose... TRUE or FALSE: The country’s marginal propensity to save is 20%.Answer 2Choose... Autonomous level of importsAnswer 3Choose... Equilibrium investment Answer 4Choose... Equilibrium national incomeAnswer 5Choose... Net Exports (NX) Answer 6Choose... TRUE or FALSE: The economy is a net importer. Consider the macroeconomic model of a two-sector economy (i.e. no government or trade) using standard notation. Assume that the consumption function is linear, i.e. of the form: C = a +bY . It is known that when ? = 110, the value of consumption, C , is equal to 160.8, and that when ? = 170, the value of C is 207.6. (a) Determine the consumption function and derive the savings ( S ) function for the model. What is the marginal propensity to consume? (b) Determine the equilibrium level of national income when planned investment ? = 255.Consider the following model of an economy operating with fixed wages, prices and interest rates and hasexcess capacity. Adsume all figures are I Zambian kwacha. C=100+0.8yd, T=100+25Y, G=980 and I= 500 Where c is consumption, yd is disposable income, T is taxes net of transformers, G is government spending on goods and services and I is investments. A. Calculate the equilibrium level of national income B. Illustrate your equilibrium in the keyneasian cross diagran C. What is the value of the multiplier D. Is governnent running a surplus or a deficit E. Show the impact of a reduction in government spending by 80 on the equilibrium level of national income F. Illustrate your new equilibrium in the same Keynesian cross diagram as in b.
- Describe how the endogeneity versus exogeneity of consumption expenditures (i.e., the household sector) affects the size of predicted output multipliers by an input-output model.No written by hand solution Suppose an imaginary closed economy is characterized by the following: C = c0 + c1 (Y − T) T = t0 + t1Y I = 300 G = 300 C is consumption, Y and YD are, respectively, income and disposable income, T is the level of taxes, and I and G, are, respectively, private investment, and government spending. c0 and c1 are, respectively, autonomous consumption and the marginal propensity to consume; their values are unknown. However, the expression for private saving, S, is as specified below, where s1 is the marginal propensity to save out of total income. S = 0.4Y − 500 Assuming that the marginal tax rate, t1, is equal to 0.1 and the equilibrium GDP is 2000, find the level of autonomous taxes, t0, the equilibrium values of consumption, disposable income, and private saving.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 detail
- Given the following consumption function, C = 400 + 0.75YD,where C= consumption expenditure, YD = disposable income, Investment= $1200, Government spending = $1600,Exports = $500, Imports = $600, Taxes = $1200 and Potential GDP = $9000Aactual output is less than potential outputactual output is zeroactual output is equal to potential outputactual output is higher than potential outputYou 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…Suppose that the level of income is $1000 and the tax rate is 0.1 %. Given this data, what is the level of disposable income? Use the following information to answer questions 5 through 8: Consider the following information for Slovenia. Category Amount Autonomous Consumption 430 MPC 0.9 Tax Rate 0.25 Investment 800 Government Expenditure 100 Exports 20 MPI 0.05 What is the equilibrium level of GDP in the income-expenditure model? Suppose that there is a decrease in Exports by $20. What is the new equilibrium level of GDP in the income-expenditure model? What is the difference between the original and new GDP as a result of a decrease in Exports? Suppose that MPC is equal to 0.8. What is the spending multiplier?
- Given the following consumption function, C = 400 + 0.75YD,where C= consumption expenditure, YD = disposable income, Investment= $1200, Government spending = $1600,Exports = $500, Imports = $600, Taxes = $1200 and Potential GDP = $9000Choose corrcct optiona) Aactual output is less than potential outputb) actual output is zeroc) actual output is equal to potential outputd) actual output is higher than potential outputIt appears that there was an economic drop during the 2019-2021 period as a result of the pandemic. Assume that we can view this as a negative shock to private investment, due to a combination of lockdowns and uncertainty about the world. In under 150 words, answer the following question: Was government consumption expenditure used as stabilisation policy following the slow-down during 2020 and 2021? (Note, you only need to discuss this in terms of our demand model of Income-Expenditure, IS-MPR, and Aggregate Demand.) Year Government consumption per capita ($) (rounded to a whole number) 2003 6672 2004 6820 2005 7016 2006 7394 2007 7515 2008 7757 2009 8040 2010 7892 2011 7931 2012 7969 2013 7955 2014 8041 2015 8154 2016 8124 2017 8096 2018 8238 2019 8371 2020 8658 2021 9207 2022 9962Let the national income model be; Y = C + I0 + G , C = a + b ( Y – T) , G = g Y Identify endogenous variables Find the equilibrium national income Find equilibrium consumption(using static equilibrium & matrix algebra both