![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 Cramers rule to find equilibrium income Y and equilibrium taxes [10 points] d) Find and discuss the impact of a rise in government spending Go on equilibrium income Y. [5 points] e) What does t represents in the model? What is the impact of a rise in t on equilibrium income Yand on equilibrium taxes T? Explain [Suggestion: to make computation easler, feel free to group together some variables, e.g. call k (a+ lo+Go)] [10 points]](http://img.homeworklib.com/questions/c9c9d830-f701-11eb-ab95-5be591eee782.png?x-oss-process=image/resize,w_560)
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EC2040-5 Question 2 [40 points] Consider the following macroeconomic model: Y=C+10 + Go c-a+b(Y-T) Where the...
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...
4. Points = 18. Consider IS-LM Model: Real Sector: Y=C+I+G C = a +b (1-t) Y...
4. Points = 18. Consider IS-LM Model: Real Sector: Y=C+I+G C = a +b (1-t) Y I=d-ei G=Go t-income tax rate i-rate of interest Money Market: Ma=M Ma= kY-li Mg = Mo Mo - exogenous stock of money 1) Setup the system of solutions in general form, with variables vector in the following order: Y, C, I, i; (6 points) 2) Now, suppose we have the following values of parameters: a = 10; b = 0.7; t = 0.2; d...
Consider IS-LM Model: Real Sector: Y=C+I+G C=a+b (1-t) Y I=d-ei G=GO t-income tax rate i- rate...
Consider IS-LM Model: Real Sector: Y=C+I+G C=a+b (1-t) Y I=d-ei G=GO t-income tax rate i- rate of interest Money Market: Ma=M Ma=ky-li M = Mo Mo - exogenous stock of money 1) Setup the system of solutions in general form, with variables vector in the following order: Y, C, I, i; (6 points) 2) Now, suppose we have the following values of parameters: a= 10; b = 0.7; t = 0.2; d = 25; k = 0.25; 1 = 0.04;...
4. (28 pts) Consider the following macroeconomic model: Y C M = C + Io +...
4. (28 pts) Consider the following macroeconomic model: Y C M = C + Io + Xo - M = a +bY = u +mY a> 0 and 0 <b<1 u> 0 and 0 <m < 1 The three endogenous variables are Y (income), C (consumption), and M (imports). The variables I. (investments) and X. (exports) are exogenous. Also, a, b, u and m are exogenous constants satisfying the restrictions presented above. (a) Write this system as a 3 x...
Consider IS- LM Model Real Sector: Y C+IG C ab (1-t) Y I d-e t-income tax...
Consider IS- LM Model Real Sector: Y C+IG C ab (1-t) Y I d-e t-income tax rate i-rate of interest G Go Money Market: Md Ms Md kY - Ms Mo Mo - exogenous stock of money 1) Setup the system of solutions in general form, with variables vector in the following order: Y, C, I, i; (6 points) 2) Now, suppose we have the following values of parameters: a 10; b 0.7;t= 0.2; d 25; k 0.25;1 0.04; e...
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....
Macroeconomics model usually wants to model Output Y, Consumption C, Investment I, and Interest Rate r...
Macroeconomics model usually wants to model Output Y, Consumption C, Investment I, and Interest Rate r taking as given Government spending Go, taxes To and Money in the economy Mo. The variables Y, C, I, and r are therefore endogenous while Go, Mo and To are exogenous. a,b,c,d,e,f are parameters. (i) Write the following system using matrix notation (5pts) (ii) Find the determinant of the coefficient matrix (the A matrix) (5 pts) (iii) Let a,b,c,d,e,f to be equal to 1...
Macroeconomics model usually wants to model Output Y, Consumption C, Investment I, and Interest Rate r...
Macroeconomics model usually wants to model Output Y, Consumption C, Investment I, and Interest Rate r taking as given Government spending Go, taxes To and Money in the economy Mo. The variables Y, C, I, and r are therefore endogenous while Go, Mo and To are exogenous. a,b,c,d,e,f are parameters. (i) Write the following system using matrix notation (5pts) (ii) Find the determinant of the coefficient matrix (the A matrix) (5 pts) (iii) Let a,b,c,d,e,f to be equal to 1...
Consider the simple macro model described by the following equations Y= C + A0 C = a + b(Y – T) T = d + tY Where Y is in...
Consider the simple macro model described by the following equations Y= C + A0 C = a + b(Y – T) T = d + tY Where Y is income, T is tax revenue, C is consumption, A0 is the constant autonomous expenditure, and a, b, d, and t are all positive parameters. Find the equilibrium values of the endogenous variables Y, C, and T by writing the equations in matrix form and applying Cramer’s rule.
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....
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...
4. Points = 18. Consider IS-LM Model: Real Sector: Y=C+I+G C = a +b (1-t) Y I=d-ei G=Go t-income tax rate i-rate of interest Money Market: Ma=M Ma= kY-li Mg = Mo Mo - exogenous stock of money 1) Setup the system of solutions in general form, with variables vector in the following order: Y, C, I, i; (6 points) 2) Now, suppose we have the following values of parameters: a = 10; b = 0.7; t = 0.2; d...
Consider IS-LM Model: Real Sector: Y=C+I+G C=a+b (1-t) Y I=d-ei G=GO t-income tax rate i- rate of interest Money Market: Ma=M Ma=ky-li M = Mo Mo - exogenous stock of money 1) Setup the system of solutions in general form, with variables vector in the following order: Y, C, I, i; (6 points) 2) Now, suppose we have the following values of parameters: a= 10; b = 0.7; t = 0.2; d = 25; k = 0.25; 1 = 0.04;...
4. (28 pts) Consider the following macroeconomic model: Y C M = C + Io + Xo - M = a +bY = u +mY a> 0 and 0 <b<1 u> 0 and 0 <m < 1 The three endogenous variables are Y (income), C (consumption), and M (imports). The variables I. (investments) and X. (exports) are exogenous. Also, a, b, u and m are exogenous constants satisfying the restrictions presented above. (a) Write this system as a 3 x...
Consider IS- LM Model Real Sector: Y C+IG C ab (1-t) Y I d-e t-income tax rate i-rate of interest G Go Money Market: Md Ms Md kY - Ms Mo Mo - exogenous stock of money 1) Setup the system of solutions in general form, with variables vector in the following order: Y, C, I, i; (6 points) 2) Now, suppose we have the following values of parameters: a 10; b 0.7;t= 0.2; d 25; k 0.25;1 0.04; e...
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....
Macroeconomics model usually wants to model Output Y, Consumption C, Investment I, and Interest Rate r taking as given Government spending Go, taxes To and Money in the economy Mo. The variables Y, C, I, and r are therefore endogenous while Go, Mo and To are exogenous. a,b,c,d,e,f are parameters. (i) Write the following system using matrix notation (5pts) (ii) Find the determinant of the coefficient matrix (the A matrix) (5 pts) (iii) Let a,b,c,d,e,f to be equal to 1...
Macroeconomics model usually wants to model Output Y, Consumption C, Investment I, and Interest Rate r taking as given Government spending Go, taxes To and Money in the economy Mo. The variables Y, C, I, and r are therefore endogenous while Go, Mo and To are exogenous. a,b,c,d,e,f are parameters. (i) Write the following system using matrix notation (5pts) (ii) Find the determinant of the coefficient matrix (the A matrix) (5 pts) (iii) Let a,b,c,d,e,f to be equal to 1...
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....
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