Suppose structural model of an economy is given as follows. C = 100 + 0.80Yd Yd =Y-T I = 100 G = 100 T=100 / T = 60+0.9Y Find expenditure multiplier and changed income if changed G = 50 b). Tax multiplier when t =0.25 a)
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- 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).How do i trace this scenario on the circlar flow model, firms inventories unexpectedely rise?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.
- Given the following on a closed economy.C = 40 + 0.8Yd C= consumptionI = 55 – 200r I= InvestmentG = 20 G = government spendingT = 20 T = TaxesYe = 400 Ye = National Incomer = rate of interest Dertermine the equilibrium level of consumption(1)The following macroeconomic model describes the economy of Sunderland. 1. Y= C +I + G + NX 2. C = 220 + 0.63 Y 3. 1 = 1000- 2000R 4. G = Go 5. NX = 525-0.10Y-50OR 6. M (0.1583Y-1000R)P (a)ls it a fair characterization to refer to equation #2 as a "simple" consumption function? Explain. (b)Derive the expression for equilibrium real output, Y, for this economy. Note: In your final expression for Y, restrict coefficient values to three decimal points. (c) Suppose government spending is 1200 , money supply by the Central Bank is 900 and the price level is 1, find the value of GDP (Y) and equilibrium interest rate (R) for Sunderland. Income Identity Consumption function Investment function Government Expenditure Net export function Money market equilibrium (2)The questions in this section are related to the macroeconomic model of Sunderland. (a)The expression you are asked to derive in question #1b can be considered an aggregate demand curve. Do you agree? Explain your answer. (b)Sketch…Households across a nation face a reduction in wealth. As a result, savings will increase dispos able decrease not change and disposable income will increasedisposabledecreasenot change. This will lead to a/an increasedisposabledecreasenot change in supply of loanable funds. Therefore the equilibruim level of investment will
- 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: 1-b.+ bt a) A b) A-1-b-bt + a c) |A|=b+t d) A1+a+b-t e) |A| =Go+b+t f) A-Io-b+t 8) A = Go + Io +b-t3) 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-tUse an ISLM model to analyse the effects of an increase in government expenditures onthe interest rate and GDP