Monday, May 4, 2020
Macroeconomics Aggregate Expenditures
  Question:  Discuss about the Macroeconomics for Aggregate Expenditures.    Answer:  1.a)    Aggregate Expenditures = Consumption + Government Expenditure + Investment + Net Exports   A = 1300 + 150 + 200  50 = 1600 = Aggregate Expenditure  B = 2400  200  150  (-50)  B = 2400 + 50  350 = 2100 = Consumption          Real GDP      Consumption      Savings      Investment       Government Expenditures      Net Exports      Taxes      Aggregate Expenditures      Surplus/ Shortage (Unplanned Investment)          0      500      -500      200      150       -50      100      800      -800          1000      1300      -300      200      150       à ¢Ã¢â ¬Ã 50      100      1600      -600          2000      2100      -100      200      150       à ¢Ã¢â ¬Ã 50      100      2400      -400          3000      2900      100      200      150       à ¢Ã¢â ¬Ã 50      100      3200      -200          4000      3700      300      200      150       à ¢Ã¢â ¬Ã 50      100      4000       0          5000      4500      500      200      150       à ¢Ã¢â ¬Ã 50      100      4800      +200          Table: GDP and Aggregate Expenditure Model  Source: (Created by Author)    b)    For the above table, it can be seen that the country is running a trade deficit, as the imports are greater than exports due to the negative sign.  For domestic Trade balance,  (Savings + Tax) = (Government Expenditure + Investment) + Net Exports  (Savings  Investments) = (Government Expenditure  Tax) + Net Exports  200 = 150  100  50 = 0  This depicts that the domestic balance is also facing a balance deficit in the country.    c)    AE = AE + (slope of AE)*Y   Slope of AE = Marginal Leakage Rate = Change in leakage rate / Change in income  MLR = 800/1000 = 0.8  MLR = (1  MPE)  MPE = 0.2    d)    The aggregate equation of AE is given as,   AE = 800 + 0.8Y    e)    The value of Real GDP in equilibrium is at 4000    f)    This can be done using the multiplier effect such that increase in change in real GDP can be calculated.  Change in Real GDP = (1/ (1-MLR)) X (Change in Government Expenditure)  Change in Real GDP = (1/ (1  0.8) X (200  150)  Change Real GDP = 0.5 X 50 = 250 billion dollars  Increase in Real GDP from 4000 to (4000+250) that is 4250 billion dollars  2. a)  The IS relation can be devised from S = I  S = I   Y  C  G = I  Y  200 - 0.25 (Y  T)  G = 150 + 0.25Y  1000r    Y  200 - 0.25 (Y  200)  250 = 150 + 0.25Y  1000r  Y - 0.25Y  0.25Y + 1000r = 200 - 50 + 250 + 150  5Y + 1000r = 550  Y + 2000r = 1100 . (i)      b)    The LM relation can be devised from Md = Ms  (M/P)d = Ms  2Y  8000r = (M/P)d    2Y  8000r = 1600  Y  4000r = 800 . (ii)      c)    Equating equation (i) and (ii) for equilibrium real interest rate  IS = LM   Y + 2000r  1100 = Y  4000r - 800   r = 300/6000 = 0.05 . (iii)    d)    For level of output, we take equation (i) and substitute value of equation (iii)  Y + 2000r = 1100    Y = 1100  2000 X 300/6000  Y = 1100  100  Y = 1000 = Level of output      e)    Value of C, I and G   C = 200 + 0.25 (Y  T) = 200 + 0.25 (1000  200) = 200 + 0.25 (800) = 200+200 = 400  I = 150 + 0.25Y  1000r = 150 + 0.25*1000  1000*300/6000 = 150 + 250  50 = 350  After calculation,   C + I + G = Y    400 + 350 +250 = 1000 = Y = Level of Output      f)    Now, M/P = 1840  Then, the changes will be made in the money market.  (M/P)d = Ms  2Y  8000r = (M/P)d    2Y  8000r = 1840  Y  4000r = 920 . (iv)     Equating equation (i) and (iv) for equilibrium real interest rate, we get  IS = LM   Y + 2000r  1100 = Y  4000r - 920   r = 180/6000 = 0.03 . (v)    For level of output, we take equation (i) and substitute value of equation (v)  Y + 2000r = 1100    Y = 1100  2000 X 180/6000  Y = 1100  60  Y = 1040 = Level of output    Value of C and I   C = 200 + 0.25 (Y  T) = 200 + 0.25 (1040  200) = 200 + 0.25 (840) = 200+210 = 410  I = 150 + 0.25Y  1000r = 150 + 0.25*1040  1000*180/6000 = 150 + 260  30 = 380  According to the changes in monetary expansion, the interest rate has decreased, level of output has increased and level of consumption has even increased. However, the change of consumption is more than the level of output in this scenario.    g)    Now, government spending has been increased to 400  Then, the changes will be made in the goods market.  The IS relation can be devised from S = I  S = I   Y  C  G = I  Y  200 - 0.25 (Y  T)  400 = 150 + 0.25Y  1000r    Y  200 - 0.25 (Y  200)  400 = 150 + 0.25Y  1000r  Y - 0.25Y  0.25Y + 1000r = 200 - 50 + 400 + 150  5Y + 1000r = 1400  Y + 2000r = 1400 . (vi)     Equating equation (vi) and (ii) for equilibrium real interest rate  IS = LM   Y + 2000r  1400 = Y  4000r - 800   r = 600/6000 = 0.01 . (vii)   For level of output, we take equation (vi) and substitute value of equation (vii)  Y + 2000r = 1400    Y = 1400  2000 X 600/6000  Y = 1400  200  Y = 1200 = Level of output    Value of C and I   C = 200 + 0.25 (Y  T) = 200 + 0.25 (1200  200) = 200 + 0.25 (1000) = 200 + 250 = 450  I = 150 + 0.25Y  1000r = 150 + 0.25*1200  1000*600/6000 = 150 + 300  100 = 350  According to the changes in fiscal expansion, the interest rate has decreased to a significant level, level of output has increased considerably whereas the investment has been the same and level of consumption has even increased. However, the change of consumption is more than the level of output due to increase in the government spending.    
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