Goods & Services Market¶
Aggregate Demand¶
Sign | Component | Symbol | Meaning |
---|---|---|---|
+ | Consumption | \(C\) | G&S purchased by consumers |
+ | Investment | \(I\) | Sum of residential and non-residential investment |
+ | Government spending | \(G\) | Purchases of G&S by federal, state, and local govts (excluding Govt transfers) |
+ | Exports | \(E\) | Goods & services produced by country purchased by foreign countries |
- | Imports | Foreign goods & services purchased by country | |
+ | Inventory Investment | Difference between production and sales |
Behavioral Assumptions - Investment is exogenous of fiscal policy - Consumption is endogenous to disposable income
Consumption¶
Assuming Consumption \(\propto\) Income
\[ C = c_0 + c_1 (I-T) \]
- \(C =\) total consumption
- \(c_0 =\) base/autonomous consumption
- \(c \ne 0\)
- \(c_1 =\) MPC (Marginal Propensity to Consume)
- \(I =\) Income
- \(T=\) Taxes
- \((I-T)=\) disposable income
IDk¶
Short-Run | Medium-Run | Long-Run | |
---|---|---|---|
Equilibrium Output Factors | - Aggregate Demand - Production - Income | ||
Equilibrium Condition | \(\text{Aggregate Demand} = \text{Aggregate Income}\) \(\text{Aggregate Investment} = \text{Aggregate Savings}\) | ||
Equilibrium Output | \(\dfrac{1}{1-c_1} (c_0 - T + I + G)\) | ||
Increase in autonomous consumption \(c_0\) |
Output Multiplier¶
\(m = \dfrac{1}{1-c_1}\)
Implication - If \(m>1\): even small consumer spending will lead to increased output - If \(m \le 1\): lots of consumer spending required for growth
Short-Run¶
flowchart LR
d[Demand] -->
s[Supply] -->
i[Income] -->
d
Paradox of Saving¶
\[ \begin{aligned} \text{Investment} &= \bar S^G + S(Y) \\ S(Y) &= \dfrac{1}{1-c_1} Y & (\text{Output $Y$ = Income}) \end{aligned} \]
If savings \(S(Y)\) increase due to decrease in \(c_1\) - then savings > investment, ie consumption decreases - then \(Y\) reduces to restore equilibrium - this reduces income - this reduces consumption - this reduces output - vicious cycle
where \(Y =\) Real output
This is why drastic contractionary fiscal policy is detrimental - introducing high GST/VAT - decrease in govt expenditure