Consumption, Saving and Investment
Master macro concepts of aggregate consumption, saving, and investment. Study Keynes' Psychological Law of Consumption, linear equations \(C = a + bY\) and \(S = -a + (1-b)Y\), Break-Even Analysis (\(C = Y, S = 0\)), Propensity identities (\(APC+APS=1, MPC+MPS=1\)), and types of investment.
1. Consumption Function & Keynes' Psychological Law
The functional relationship between aggregate consumption expenditure and national disposable income is called the Consumption Function: \(C = f(Y)\).
Linear Consumption Function Equation: \(C = a + bY\)
- \(a\) (Autonomous Consumption): Fixed minimum expenditure on bare necessities (food, shelter) needed to survive when income is zero (\(Y=0\)). Financed by borrowing or dissaving.
- \(b\) (\(MPC\)): Marginal Propensity to Consume—the slope of the consumption line (\(0 < b < 1\)).
- \(Y\): Level of aggregate disposable income.
2. Propensity to Consume & Propensity to Save
| Measure | Definition | Formula | Property |
|---|---|---|---|
| APC | Ratio of total consumption to total income | \(APC = \frac{C}{Y}\) | Falls as income rises |
| MPC | Ratio of change in consumption to change in income | \(MPC = \frac{\Delta C}{\Delta Y}\) | \(0 < MPC < 1\) |
| APS | Ratio of total saving to total income | \(APS = \frac{S}{Y}\) | Can be negative at low income |
| MPS | Ratio of change in saving to change in income | \(MPS = \frac{\Delta S}{\Delta Y}\) | \(0 < MPS < 1\) |
Since \(Y = C + S\), dividing by \(Y\): \(\frac{Y}{Y} = \frac{C}{Y} + \frac{S}{Y} \implies 1 = APC + APS\).
Therefore: \(APC = 1 - APS\) and \(APS = 1 - APC\).
Since \(\Delta Y = \Delta C + \Delta S\), dividing by \(\Delta Y\): \(\frac{\Delta Y}{\Delta Y} = \frac{\Delta C}{\Delta Y} + \frac{\Delta S}{\Delta Y} \implies 1 = MPC + MPS\).
Therefore: \(MPC = 1 - MPS\) and \(MPS = 1 - MPC\).
3. Saving Function & Break-Even Analysis
Saving is the unconsumed portion of disposable income (\(S = Y - C\)).
Starting from \(S = Y - C\) and substituting \(C = a + bY\):
\(S = Y - (a + bY) = -a + Y - bY\)
\(S = -a + (1 - b)Y\)
Where \(-a\) is dissaving at zero income, and \((1 - b) = MPS\) is the slope of the saving curve.
The Break-Even Point (BEP):
The Break-Even Point occurs where aggregate consumption equals aggregate income (\(C = Y\)). At this point, saving is exactly zero (\(S = 0\)) and \(APC = 1\).
- Below BEP (\(Y < C\)): Consumption exceeds income (\(C > Y\)), resulting in dissaving (\(S < 0\)).
- Above BEP (\(Y > C\)): Income exceeds consumption (\(Y > C\)), resulting in positive saving (\(S > 0\)).
4. Determinants of Consumption & Investment Types
- 1. Rate of Interest: High interest encourages saving over immediate consumption. (Less critical in short run for urgent necessities).
- 2. Wealth: Holding physical/financial assets increases capacity to consume.
- 3. Distribution of Income: Equal distribution increases aggregate consumption as poor have higher MPC than rich.
- 4. Consumer Credit: Easy availability of loans boosts spending on consumer durables (cars, appliances).
- Autonomous Investment (\(I_0\)): Fixed investment independent of income level or profit. Represented by a horizontal line.
- Induced Investment: Driven by income level and profit expectations. Slopes upwards as national income grows.
- Gross vs. Net Investment: \(\text{Gross Investment} = \text{Net Investment} + \text{Depreciation}\).