3) In the macroeconomic model below, Y is aggregate output, C is aggregate consump- tion, Io is aggregate investment, Go is government spending, T is the total amount of taxes collected by the government, and t is income tax rate. The variables Y, C, and I are endogenous, Go, Io, and t are exogenous, and a, b, and k are parameters. Y-C+ Io + Go C=a+b(Y-T) T-k+tY (a > 0,6 € (0,1)) (k>0, t€ (0,1)) Calculate the determinant of the coefficient matrix A associated with this system of equations. The determinant of the coefficient matrix A is: a) A1-b.+ bt b) |A|-1-b-bt + a c) |A|-b+t d) A 1+a+b-t e) |A|-Go+b+t f) A-Io-b+t g) A|- Go+ Io +b-t

3) In the macroeconomic model below, Y is aggregate output, C is aggregate consump- tion, Io is aggregate investment, Go is government spending, T is the total amount of taxes collected by the government, and t is income tax rate. The variables Y, C, and I are endogenous, Go, Io, and t are exogenous, and a, b, and k are parameters. Y-C+ Io + Go C=a+b(Y-T) T-k+tY (a > 0,6 € (0,1)) (k>0, t€ (0,1)) Calculate the determinant of the coefficient matrix A associated with this system of equations. The determinant of the coefficient matrix A is: a) A1-b.+ bt b) |A|-1-b-bt + a c) |A|-b+t d) A 1+a+b-t e) |A|-Go+b+t f) A-Io-b+t g) A|- Go+ Io +b-t

MACROECONOMICS

14th Edition

ISBN:9781337794985

Author:Baumol

Publisher:Baumol

Chapter9: Demand-side Equilibrium: Unemployment Or Inflation?

Section9.A: The Simple Algebra Of Income Determination And The Multiplier

Problem 4TY

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Consider the following model. Expenditure is given by: E = C +1 + G. The consumption function is specified as: C = c0 +cY. We assume a closed macroeconomics system so that: Y=E. If the model parameters are configured such that I= 500, G=2000, c0=1000 and c=0.8, what will the level of consumption expenditure, C, be equal to? a. 4,375 b. 15,000 c. 14,000 Cd. 14,500
please 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.
3) In the macroeconomic model below, Y is aggregate output, C is aggregate consump- tion, Io is aggregate investment, Go is government spending, T is the total amount of taxes collected by the government, and t is income tax rate. The variables Y, C, and I are endogenous, Go, Io, and t are exogenous, and a, b, and k are parameters. Y = C + Io + Go C = a + b(YT) T=k+tY (a > 0, b = (0, 1)) (k > 0, t = (0, 1)) Calculate the determinant of the coefficient matrix A associated with this system of equations. The determinant of the coefficient matrix A is: a) |A| = 1-b+ bt b) |A| = 1-b-bt + a c) |A| = b + t d) |A| = 1+ a + b - t e) |A| = Go +b+t f) A = Iob+t g) A = Go + Io +b-t
a. The key idea of the aggregate expenditure model is that in any particular year, the level of GDP is determined mainly by A) investment spending. B) export spending. C) government spending. D) the level of aggregate expenditure. b. U.S. net export rises when A) the price level in the United States rises relative to the price level in other countries. B) the growth rate of U.S. GDP is slower than the growth rate of GDP in other countries. C) the value of the U.S. dollar increases relative to other currencies. D) the inflation rate is higher in the United States relative to other countries.
consider a simple Macroeconomic Model With the following equations: C=500 + 0.9 YD I=650 G=1000 T=0.3Y X=700 IM= 0.23Y a) calculate equilibrium national level of income b) calculate the governments budget balance at the equilibrium national level of income c) calaculate the countrys trade balance d) calculate the mulitplier for this economy
1.11 If desired investment exceeds actual investment, then…a) The economy is in a recession.b) Inventories are less than the desired level.c) Inventories are accumulating beyond the desired levels.d) Cyclical unemployment exists. 1.12 Read the following extract and answer the question that follows. Women’s empowerment movement eyes 40% of government spending accreditation…Last year the South African government affirmed its support for women-owned businesses as part of its commitment to ensuring that gender equality in Africa’s most advanced economy was achieved. President Cyril Ramaphosa said then: “We are going to drive women’s economic inclusion through public procurement. We have set the target of ensuring that 40% of goods and services procured by public entities are procured from women-owned business.” Source: https://www.news24.com/citypress/news/womens-empowerment-movement-eyes-40-of-government-spending-20210819The above decision by the South African government is an example…
1.11 If desired investment exceeds actual investment, then…a) The economy is in a recession.b) Inventories are less than the desired level.c) Inventories are accumulating beyond the desired levels.d) Cyclical unemployment exists. 1.12 Read the following extract and answer the question that follows. Women’s empowerment movement eyes 40% of government spending accreditation…Last year the South African government affirmed its support for women-owned businesses as part of its commitment to ensuring that gender equality in Africa’s most advanced economy was achieved. President Cyril Ramaphosa said then: “We are going to drive women’s economic inclusion through public procurement. We have set the target of ensuring that 40% of goods and services procured by public entities are procured from women-owned business.” The above decision by the South African government is an example of…a) Market participation.b) Government spending.c) Commercialisation.d) Nationalisation. 1.13 Read the following…
Suppose the following equations represent an economy. What is the multiplier for thiseconomy?Z = C + I + G C = 400 + .5YD YD = Y - T T = 400I = 200 G = 1800a. 0.5.b. 1.c. 1.5.d. 2.e. none of these.
The table below is the multiplier matrix of the 4 sector economic model. Exogenous Variables G* T* AND C T Even. YD M B AS S A 1.163 0.817 0.311 1.73 0.311 0.311 - 0.311 0.222 I* 1.163 0.817 0.311 1.73 0.311 0.311 - 0.311 0.222 1.163 0.875 0.311 1.73 0.311 -0.655 -0.311 0.222 - 1.094 -0.815 0.781 -1.875 -0.219 0.781 0.219 - 0.563 X* 1.163 0.815 0.311 1.25 0.311 0.311 0.547 0.222 a. Calculate the change of each endogenous variable value of the effect of AG* = 160 M* - 1.163 - 1.393 - 0.311 - 1.25 0.655 - 0.311 - 0.547 - 0.222 b. Calculate the net change in each value of the endogenous variable as a result of the simultaneous change, AX* = 200 and AM* = -150 c. AT* = 250; By how much does the government need to change G* so that the net effect of these 2 shocks (AT* = -250 and AG* which you calculated) so that AB = 0? d. Calculate the net change in each value of the endogenous variable as a result of the 2 shocks occurring in (c).
n an effort to make sales projections, M/s K, B and A, the three B-school executives of Vengaboys Inc., were discussing about the national income and its growth in Ibiza. K had estimated a linear consumption function for Ibiza to be C = 100 + 0.6 Y, and investment to be I = 100 per ear. In Ibiza, there was no income tax and government spending was minimal (assume 0). Ibiza was a closed economy, and hence no exports and imports. (i)K immediately knew what the investment Multiplier was. Can you find out? (ii)What is the level of income in Ibiza? (iii)K estimated that with Government spending 100 on a new road to be constructed, the income levels are sure to go up. K quickly calculated the change in income and the new income level to be:
Problem 1 Suppose the system of aggregate expenditures can be described by the following relationships and parameter values. C(Y – T) = 1200 + 0.8 (Y – T) I(r) = 100 – 3r G = 200 ;T = 200; r = 5; Ex = Im = 0 %3D 1. Find the equilibrium value ofY (output/income) in this model. Let this level of production be the economy's potential GDP (Y;).
The outbreak of COVID-19 adversely attacks most economies. Some economists e/2 argue that the impacts on the macroeconomy mainly come from (i) the reduction in consumption and investment appetite, while others believe that the impacts mainly come from (ii) the immediate destruction of the supply-chain and production. Suppose two quarters since the outbreak of the COVID-19, changes in selected macroeconomic data of Country X can be summarized as below: Last year This year Annualized economic growth rate 4% -6% Unemployment rate 5% 8% Inflation rate 2% 5% Using an AD-AS model, explain whether argument (i) or (ii) above fits better to а. the case of Country X. b. Given your answer in (a), briefly discuss one plausible short-run dilemma facing the central bank of Country X.