
Illustration 125
Provided the information below, you are required to determine the average and marginal propensity to consume.
Earnings Y |
Consumption C |
1700 |
1820 |
1850 |
1900 |
2220 |
1850 |
2760 |
2150 |
2590 |
2750 |
2920 |
2450 |
3540 |
2770 |
Solution
Earnings Y |
Consumption C |
Average Propensity to Consume |
Marginal Propensity to Consume |
C / Y |
Δ C / Δ Y |
||
1700 |
1820 |
1820 / 1700 = 1.07 |
- |
1850 |
1900 |
1900 / 1850 = 1.03 |
80 / 150 = 0.53 |
2220 |
1850 |
1850 / 2220 = 0.83 |
-50 / 370 = -0.14 |
2760 |
2150 |
2150 / 2760 = 0.78 |
300 / 540 = 0.56 |
2590 |
2750 |
2750 / 2590 = 1.06 |
600 / -170 = -3.53 |
2920 |
2450 |
2450 / 2920 = 0.84 |
-300 / 330 = -0.91 |
3540 |
2770 |
2770 / 3540 = 0.78 |
320 / 620 = 0.52 |
Illustration 126
Provided the saving function S = - 60 + 0.6Y and self-governed investment, I = $300 million. You are required to find out the following
- The Symmetry level of earnings
- The level of consumption
- If investment enhances permanently by $30 millions, what will be the new levels of earnings and consumption
Solution
As per saving investment approach, symmetry level of national earnings is found out by balancing saving and investment and hence
S = I
Hence,
-
60 + 0.6Y = 300
0.6Y = 240
Y = 240
/ 0.6
(i) Hence symmetry of Earnings (Y) = 400
As per consumption function, Consumption parities earnings over savings and hence
C = Y – S …..Equation
(2)
Hence,
S = -
60 + 0.6Y …..Equation
(1)
Substituting the value of Y in the Equation (1), we procure the following
S = -
60 + 0.6 (400)
= -
60 + 240
Hence Saving (S) = 180
Substituting the value of S and I in the Equation (2), we have the following
C = 400 – 180
(ii) Hence the level of consumption (C) = 220
With the increase in investment by $30 millions, the new investment parities to $330 millions
S = I
Hence,
-
60 + 0.6 Y = 330
0.6
Y = 330 + 60
Y = 390 / 0.6
(iii) Hence, the new level of earnings would be (Y) = $650 millions
Now, Saving = - 60 + 0.6 Y
= -
60 + 0.6 (650)
= -
60 + 390
Hence Saving (S) = 330
Substituting the new values of S and Y, the new consumption (C) would be devised as below
C = Y - S
= 650 – 330
(iii) Hence, the new level of consumption would be (C) $320 millions.
Illustration 127
Provided the data below, Earnings and Consumption based on which you are necessary to ascertain the following
- Average Propensity to Consume
- Average Propensity to Save
- Marginal Propensity to Consume and
- Marginal Propensity to Save
Earnings Y |
Consumption C |
360 |
360 |
480 |
460 |
600 |
560 |
720 |
660 |
840 |
760 |
960 |
860 |
Solution
Earnings Y |
Consumption C |
Average Propensity to Consume |
Average Propensity to Save |
Marginal Propensity to Consume |
Marginal Propensity to Save |
APC = C / Y |
APS = S / Y |
MPC = Δ C / Δ Y |
MPS = Δ S / Δ Y (1 - MPC) |
||
360 |
360 |
360 / 360 |
0 |
- |
- |
480 |
460 |
460 / 480 = 0.96 0r 96% |
0.04 |
100 / 120 = 0.83 |
0.17 |
600 |
560 |
560 / 600 = 0.93 or 93% |
0.07 |
100 / 120 = 0.83 |
0.17 |
720 |
660 |
660 / 720 = 0.92 or 92% |
0.08 |
100 / 120 = 0.83 |
0.17 |
840 |
760 |
760 / 840 = 0.91 or 91% |
0.09 |
100 / 120 = 0.83 |
0.17 |
960 |
860 |
860 / 960 = 0.89 or 89% |
0.11 |
100 / 120 = 0.83 |
0.17 |
Illustration 128
In an economy, the basic equations are as follows:
The consumption function is C = 220
+ 0.5Y and
Investment function is Ī = 250
You are required to ascertain the following
- Symmetry level of earnings
- Symmetry level of consumption
- Symmetry level of saving
- Symmetry level, aggregate demand equals aggregate supply and saving leakages equals investment injections
Solution
The symmetry condition is given as Y = C + I
Thus,
Y = 220
+ 0.5Y + 250
Y – 0.5 Y = 470
Y (1 – 0.5) = 470
0.5Y = 470
Y = 470 / 0.5
(a) Hence, the symmetry level of earnings (Y) = 940
The consumption function is C = 220 + 0.5Y
When Y = 940,
C = 220
+ 0.5 (940)
C = 220
+ 470
(b) Hence, the symmetry level of consumption (C) = 690
The saving equation is S = Y – C
When Y = 940 and C = 690, we have
S = 940 – 690
(c) Hence, the symmetry level of saving (S) = 250
(d) Now the aggregate demand and aggregate supply has to be equal for symmetry level which parities saving leakages and investment injections.
Hence,
C
+ I = C + S
690
+ 250 = 690
+ 250
940 = 940
(Or) Saving equals investment S = I
250 = 250
Illustration 129
Let us assume the consumption function is C = Ca + b Y and investment is I = Ī, then
- Determine the equation for the symmetry level of productivity
- Determine the symmetry level of productivity when Ca = 250, b = 0.6 and Ī = 450
Solution
The symmetry condition is given as Y = C + I.
Y = Ca
+ b Y + Ī
Y – b Y = Ca
+ Ī
Y (1 – b) = Ca
+ I
(a) Y = Ca
+ Ī ……..Derivative
(1)
(1 – b)
Substituting the values in the Derivative (1), we obtain the following
Y = 250
+ 450
1 - 0.6
Y = 700
/ 0.4
(b) Hence, the symmetry productivity level is 1,750
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