6. Given the national income model Y-C+IoGo where R is transfer payments, and the other variables...
Exercise 4.1 Rewrite the market model (3.12) in the format of 4.1 2. with the variables arranged in the following order: Q_d1, Q_s1, Q_d2, Q_s2, P_1, P_2. write out the coefficient matrix, the variable vector, and the constant vector. 4. Rewrite the national-income model (3.23) in the format of (4.1), with U asbtye first variable. Write out the coefficient matrix and the constant vector. 3.12 model 3.23 model 4.1 matrices and vectors The pictures are only a samplebso you could...
Answer all question plz !!!!!!!!! with formula !!!!!!!!!!!!!!!!!!!!!!!!!!!!! 4. Test whether the following matrices are nonsingular: 7 -1 0 (c)11 4 13 -3 -4 (a)19 3 -4 9 5 (d)3 0 1 10 8 6 4 -2 1 (b)-5 6 0 5. What can you conclude about the rank of each matrix in Prob. 4? 7. Rewrite the simple nationa-income model (3.23) in the Ax d format (with Y as the first variable in the vector x), and then test...
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.
2. Let the following data be given where X is the independent variable and Y is the dependent variable Find the correlation coefficient r a. a and B,onpfrom the sample for the model: b. Estimate +tx and the actual data Y where ε is the random error between the fitted model f by Y write the linear equation P=" dr-h Predict the value of P when x = 8 c. d. 2. Let the following data be given where X...
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...
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.
Rewrite the national income model of exercise 3.5-1 in the format of 4.1 with the variables in the order Y, T and C
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 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.