09. Consider the following model. Expenditure is given by: E=C+I+G The consumption function is specified as: C=c+cY We assume a closed macroeconomic system so that: Y=E Which is the correct representation of income as a function of autonomous expenditures and the marginal propensity to consume?
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- 09. Consider the following model. Expenditure is given by: E=C+I+G The consumption function is specified as: C=c₁+cY We assume a closed macroeconomic system so that: Y=E Which is the correct representation of income as a function of autonomous expenditures and the marginal propensity to consume? a. b. C. Y= d. Y= Co+I+G 1-c I+G 1-c-c Y= (I+G). Y=I. 1-c 1Consider 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. 14,500Ts assume that in the model of national economy household consumption is C = 300 + 0.9*DI, companies' gross vestment is Ig = 200, but government expenses are G = 250, while the sum of taxes collected by the government iS -150. Taking into account that disposable income DI =Y-T, calculate: a) Equilibrium level of income Y; b) Calculate the value of Marginal propensity to consume and value of Marginal propensity to save; c) Private consumption at macroeconomic equilibrium%3; d) Develop equation of saving and calculate amount of saving at the point of equilibrium level of income.
- The following questions refer to this table: a.At each level of output, calculate saving. At each level of out-put, calculate unplanned investment (inventory change).What is likely to happen to aggregate output if the economyproduces at each of the levels indicated? What is the equilib-rium level of output?b.Over each range of income (2,000 to 2,500, 2,500 to 3,000, andso on), calculate the marginal propensity to consume. Calculatethe marginal propensity to save. What is the multiplier?c.By assuming there is no change in the level of the MPC andthe MPS and planned investment jumps by 200 and is sus-tained at that higher level, recompute the table. What is thenew equilibrium level of Y? Is this consistent with what youcompute using the multiplier?. Let 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)The following chart shows two separate consumption functions. Which of the following statements is true if the consumption function shifts from Cl to C27 C2 C1 Yd The marginal propensity to oonsume decreased and autonomous consumption incressed The marginal propensity to consume increased and autonomeous consumption increased The marginal propensity to conaume increased and autonomous consumption decreased The marginal propensity to coasume decreased and autonomous conumption decreased
- Given the following model of an Economy as follows:- (10 marks) C = 50 + 0.7 Yd (Yd = Y-T) (Consumption & Expend) I = 100 (Investment Expend) X = 20 (Exports ) M = 10 – 0.27 (Imports) T=25 interepret the consumption Function i) Determine Equilibrium level of National Income ii) Consumption level at Equilibrium level of Income iii) Total import at equilibrium Income3) 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-t
- Given the macro economic data below, draw a graph to illustrate if there is arecessionary gap in the given economy.Real GDP $1000BConsumption (100K is Autonomous) $600BInvestment $100BGovernment Spending $200BExport $50BImport $50BMarginal Propensity to Consume 0.50 AD (Expenditure) 45 degree AD = AS $ 1000B AS (Real GDP) a. Calculate the size of the recessionary gap in the economy. b. What would happen to the recessionary gap if the government cut incometaxes by $50B? c. What would happen to the recessionary gap if the Fed increased discountrates? Explain your answer.| Assume in country Y, the average marginal propensity to save is 0.2. When the aggregate income is zero, consum- ers spend 50 to consume. Derive the saving function and consumption function for this country. What happens to consumption when the propensity to save decreases to 0.1? Explain your answer and show this on the graph.The figure below shows a simple macroeconomic consumption model. The letters N and D indicate curves, the letters T, A, L and Q denote (intersection) points. The "auxiliary triangles" marked in burgundy mean that if the value of the horizontal section shown in them is considered to be 1, the value of the vertical sections is s and r, respectively. It is known that L is 100 and ris 0.75. T 45° A 1 Give the equation of the savings function: S= (use a decimal point and 2 decimals if needed, and write capital letters as an unknown variable) How much is the value of A on the X axis?
