For a income determination model Y = C+ I + G, C = Co + bY d, I = Io+ aYd. Yd = Y - T, T = To + tY, G = Go, 0 < a, b, t < 1, find the equilibrium level of income. Find the multipliers for each input.
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- Consider the following national income model : Y = C + I + Go C = 102 + 0.6Y 3.3000000000000003I = 253 + 0.21Y Where Go = 184 (i) Identify the exogenous variable/s. if there are more than one variable, separate each variable with a comma Convert this system of equations in matrix form. (ii) What is the determinant of the coefficient matrix? (Give your answer to 'three' decimal places, if possible) (Note: you can use either inversion or Cramer's rule to find the values of Y, C, and I.) (iii) What is the equilibrium value of Y? (Give your answer to 'three' decimal places, if possible) (iv) What is the equilibrium value of C? (Give your answer to 'three' decimal places, if possible) (v) What is the equilibrium value of I? (Give your answer to 'three' decimal places, if possible)Let the national income model be; Y = C + I0 + G , C = a + b ( Y – T) , G = g Y Identify endogenous variablesWhat type of solutions do you get in Samuelson´s Model of national income when the parameters satisfy αγ= 1?
- Consider the following national income model : Y = C + I + Go C = 224 + 0.55Y 3.1I = 184 + 0.22Y Where Go = 187 a. What is the determinant of the coefficient matrix? b. What is the equilibrium value of Y? c. What is the equilibrium value of C? d. What is the equilibrium value of I?Problem 2: Consider the following National Income determination model: Y=C+I0+G0 C=500+0.75(Y−T) T=200+0.2Y,I0=2500,G0=1500 The system of equations can be expressed as Y−C=4000 −0.75Y+C+0.75T=500 −0.2Y+T=200 Solve this system of equations using both the inverse method and the Cramer's rule to find the equilibrium values of Y, C, and T.The average income of the economy before the regressive transfer is $20 and the covariance between income and cumulative distribution of population is 4. Calculate the Gini coefficient of the economy before the regressive transfer.
- both life cycle and permanent income hypothesis rely on Fischer's intertemporal choice model estimating present value of income. however both make different assumptions about the present value of income. explainGiven the model for the Mary Island economy calculate the equilibrium level of income. Show your work. C = 100 + .7Yd G = 700 T = 500 I = 200Show how to arrive to Equation (8.16) of the textbook, and then find the optimal amount to spend on education E and the number of children m. Provide a brief interpretation about how these equation help understand the demographic transition.
- S1: Demographic transition is a social, economic, cultural but not necessarily a scientific phenomenon. S2: Per capita income is synonymous to disposable income. A. True, True B. True, False C. False, True D. False, FalseGiven the national model Y= C + Io + Go + Xo - z C= Co + bYd Yd= Y - To Z= Zo + zY Explain the equilibrium level of income and consumption Explain the economic meanings of b and z. List the endogenous and exogenous variables of the model?Define the term cost-of-living index?