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.
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.
2. Consider the National Income model given by the following equations. Y-C-I.-G, = 0 C-a-B(Y - T) = 0 T-y-SY=0 where Y, C, and T are endogenous variables and I., G., a, b, Y, 8 are exogenous and B and 8 are positive fractions. Use Cramer’s Rule to find the effect of a change in G, on Y and C.
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...
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...
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. 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 a simple macro model with a constant price level and demand-determined output. The equations of the model are: C = 60 + 0.43Y, I = 150, G = 260, T = 0, X = 90, IM = 0.06Y. A national income of 1200 results in desired aggregate expenditure of
Consider National-Income Model: National Income: Consumption: Investment: Government Sector: Taxes: Y=C+I+G C = a + b (Y-T) I=k+rY G=GO T=f+jY <b<1 (<r<1 a>0 in mln dollars; k>O in mln dollars; Go >O in mln dollars fo in mln dollars; 0<j<1 1) Discuss in words the meaning of each of the equations in the model (3 points); 2) Find the equilibrium level of GDP (Y*) in reduced form (3 points); 3) If we know the parameters of the system, find the...
Suppose an inflationary economy can be described by the following equations representing the goods and money markets: C = 20 + 0.7Yd M = 0.4Yd I = 70 – 0.1r T = 0.1Y G = 100 X = 20 Ld = 389 + 0.7Y – 0.6r Ls = 145 where G represents government expenditure, M is imports, X is exports, Y is national income, Yd is disposable income, T is government taxes (net of transfer payments), I is investment, r...
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....