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. Consider the following macroeconomic model Y C+ C f(Y T) T=qBY where Y is GDP,...
15.2.2 15.2.1 Consider the following macroeconomic model: Y = C+1, C = a +by (a >...
15.2.2
15.2.1 Consider the following macroeconomic model: Y = C+1, C = a +by (a > 0, 0<b< 1). The endogenous variables Y and C are national income and consumption respec- tively, and the exogenous variable I is investment. Find the equilibrium values of Y and C in terms of I and the parameters a, b. Find also an expression for the change in Y when I increases from Io to I1, determine its sign and comment on its magnitude....
d 21. Consider the following IS-LM model: C = co +61 (Y – T) I =...
d 21. Consider the following IS-LM model: C = co +61 (Y – T) I = bo + b Y – bai M d¡Y – dzi Р M P Р a. where (b+c) <1 b. Derive IS equation. Derive and determine its sign. [5 points]- di di c. b. Derive LM equation. Derive and determine its sign. [5 points]- d. c. Assume that LM curve is ** dY t dY () M P =dY Solve for the equilibrium output and...
in the macroeconomics model below matrix In the macroeconomic model below, Y is aggregate output, C...
in the macroeconomics model below matrix
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 T are en dogenous, Go, lo, and t are exogenous, and a, b, and k are parameters. Express this system of equations in a matrix form, clearly wrting out and...
6) In the macroeconomic model below, Y is aggregate output, C is aggregate consump- tion, I....
6) In the macroeconomic model below, Y is aggregate output, C is aggregate consump- tion, I. 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 T are en- dogenous, Go, Io, and t are exogenous, and a, b, and k are parameters. Express this system of equations in a matrix form, clearly writing out and labeling each of the matrices....
8. Solve the following macroeconomic model. Let C(t) be the consumption, I(t) the investment of capital...
8. Solve the following macroeconomic model. Let C(t) be the consumption, I(t) the investment of capital and Y(t) the national rent. C(t) = aY (t) + b C(t) + I(t)=Y(t), I(t)= kC'(t), Y(0) = Y., 0<a<1,b,k > 0 Solve for Y(t) & I(t). Calculate the long run value of y(t)/I(t)
EC2040-5 Question 2 [40 points] Consider the following macroeconomic model: Y=C+10 + Go c-a+b(Y-T) Where the...
EC2040-5 Question 2 [40 points] Consider the following macroeconomic model: Y=C+10 + Go c-a+b(Y-T) Where the endogenous variables are Y,c and T, while the exogenous variables are Go and lo. The parameters are such that a > 0,d 0,0 < b a) Set up the model in matrix form. [5 points] b) Find the inverse of the matrix of parameters [10 points] c) Use Cramer's rule to find equilibrium income Y and equilibrium taxes [10 points] d) Find and discuss...
6) In the macroeconomic model below, Y is aggregate output, C is aggregate consump- tion, Io...
6) 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 T are en- dogenous, Go, Io, and t are exogenous, and a, b, and k are parameters. Express this system of equations in a matrix form, clearly writing out and labeling each of the matrices...
Consider the neoclassical closed economy model: Y=COY-T)+1(t) + G Y=F(K.L) M/P L(r+z* Y) CY-T) is describing...
Consider the neoclassical closed economy model: Y=COY-T)+1(t) + G Y=F(K.L) M/P L(r+z* Y) CY-T) is describing consumptions as a function of disposable income, Kand L are fixed and do not change over time, G and T are chosen by government. And are exogenous and fixed. 1- Suppose K 150, L=500 Y-2.5 K"L- C 12+0.7(Y-T) 250 G 250, T I60-400r P 1 a 0.3 a) Calculate GDP value: I Derive the equations for marginal product of labor & marginal product of...
Differential equations problem 8. Solve the following macroeconomic model. Let C(t) be the consumption, I(C) the...
Differential equations problem
8. Solve the following macroeconomic model. Let C(t) be the consumption, I(C) the investment of capital and Y(t) the national rent. C(1)+I() = Y(), 10=kC'(), CO)=aY() + b Y(0) = Y 0<a<1,5, k > 0 Solve for Y(t) & I(t). Calculate the long run value of y(t)/I(t)
Economic model is characterised by the following data: * Private consumption C = 800 + 0.9*DI...
Economic model is characterised by the following data:
* Private consumption C = 800 + 0.9*DI
* Gross investment Ig = 400
* Government spending G = 500
* Sum of Taxes T = 300
* Disposable income DI = Y – T
Calculate:
* Equilibrium level of income Y (Y= 14300)
* Private consumption at macroeconomic equilibrium C =
13400
Develop equation of saving and calculate amount of saving at
the point of macroeconomic equilibrium. S=. 600
Task 4....
15.2.2
15.2.1 Consider the following macroeconomic model: Y = C+1, C = a +by (a > 0, 0<b< 1). The endogenous variables Y and C are national income and consumption respec- tively, and the exogenous variable I is investment. Find the equilibrium values of Y and C in terms of I and the parameters a, b. Find also an expression for the change in Y when I increases from Io to I1, determine its sign and comment on its magnitude....
d 21. Consider the following IS-LM model: C = co +61 (Y – T) I = bo + b Y – bai M d¡Y – dzi Р M P Р a. where (b+c) <1 b. Derive IS equation. Derive and determine its sign. [5 points]- di di c. b. Derive LM equation. Derive and determine its sign. [5 points]- d. c. Assume that LM curve is ** dY t dY () M P =dY Solve for the equilibrium output and...
in the macroeconomics model below matrix
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 T are en dogenous, Go, lo, and t are exogenous, and a, b, and k are parameters. Express this system of equations in a matrix form, clearly wrting out and...
6) In the macroeconomic model below, Y is aggregate output, C is aggregate consump- tion, I. 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 T are en- dogenous, Go, Io, and t are exogenous, and a, b, and k are parameters. Express this system of equations in a matrix form, clearly writing out and labeling each of the matrices....
8. Solve the following macroeconomic model. Let C(t) be the consumption, I(t) the investment of capital and Y(t) the national rent. C(t) = aY (t) + b C(t) + I(t)=Y(t), I(t)= kC'(t), Y(0) = Y., 0<a<1,b,k > 0 Solve for Y(t) & I(t). Calculate the long run value of y(t)/I(t)
EC2040-5 Question 2 [40 points] Consider the following macroeconomic model: Y=C+10 + Go c-a+b(Y-T) Where the endogenous variables are Y,c and T, while the exogenous variables are Go and lo. The parameters are such that a > 0,d 0,0 < b a) Set up the model in matrix form. [5 points] b) Find the inverse of the matrix of parameters [10 points] c) Use Cramer's rule to find equilibrium income Y and equilibrium taxes [10 points] d) Find and discuss...
6) 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 T are en- dogenous, Go, Io, and t are exogenous, and a, b, and k are parameters. Express this system of equations in a matrix form, clearly writing out and labeling each of the matrices...
Consider the neoclassical closed economy model: Y=COY-T)+1(t) + G Y=F(K.L) M/P L(r+z* Y) CY-T) is describing consumptions as a function of disposable income, Kand L are fixed and do not change over time, G and T are chosen by government. And are exogenous and fixed. 1- Suppose K 150, L=500 Y-2.5 K"L- C 12+0.7(Y-T) 250 G 250, T I60-400r P 1 a 0.3 a) Calculate GDP value: I Derive the equations for marginal product of labor & marginal product of...
Differential equations problem
8. Solve the following macroeconomic model. Let C(t) be the consumption, I(C) the investment of capital and Y(t) the national rent. C(1)+I() = Y(), 10=kC'(), CO)=aY() + b Y(0) = Y 0<a<1,5, k > 0 Solve for Y(t) & I(t). Calculate the long run value of y(t)/I(t)
Economic model is characterised by the following data:
* Private consumption C = 800 + 0.9*DI
* Gross investment Ig = 400
* Government spending G = 500
* Sum of Taxes T = 300
* Disposable income DI = Y – T
Calculate:
* Equilibrium level of income Y (Y= 14300)
* Private consumption at macroeconomic equilibrium C =
13400
Develop equation of saving and calculate amount of saving at
the point of macroeconomic equilibrium. S=. 600
Task 4....
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