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Revision: Introductory Macroeconomics >> Determination of Income and Employment Economics Commerce (English Medium) Class 12 CBSE

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Definitions [5]

Average propensity to consume

\[APC=\frac{C}{Y}\]
This means APC = consumption ÷ income.

Marginal propensity to consume

\[MPC=\frac{\Delta C}{\Delta Y}\]
This means MPC = change in consumption ÷ change in income.

Marginal propensity to save

\[MPS=\frac{\Delta S}{\Delta Y}\]

  • Since any extra income is either consumed or saved,

    MPC + MPS = 1
  • If MPC is denoted by cc, MPS is often denoted by ss, and

    s = 1 − c
Average propensity to save

\[APS=\frac{S}{Y}\]

  • Because total income is either consumed or saved,

    APC + APS = 1
Definitions: Investment
  • "Investment refers to the increment of capital equipment." — J.M. Keynes
  • "By investment we do not mean the purchase of existing paper securities, bonds, debentures or equities, but the purchase of new factories, machines and the like". — Stonier and Hague
  • "Investment expenditure includes expenditure for producer’s durable equipment, new construction and the change in inventories." — Peterson

Formulae [4]

Formula for aggregate demand

Aggregate demand (AD) is the total planned spending on domestically produced final goods and services in an economy during a given period.

AD = C + I + G + (X − M)

Where:

  • AD: Aggregate demand or aggregate expenditure (total planned spending).
  • C: Desired consumption expenditure by households.
  • I: Desired investment expenditure by firms.
  • G: Desired government expenditure on goods and services.
  • X: Exports of goods and services (what foreigners buy from us).
  • M: Imports of goods and services (what we buy from other countries).
  • (X – M): Net exports (exports minus imports).
Consumption Function

C = F(Y)

The algebraic expression of consumption function is:
𝐶 = \[\overline{C}\] +𝑏⁢𝑌
Where, C = Consumption
            \[\overline{C}\]
= Autonomous consumption,
                                 i.e. consumption at zero level of income
             b = Marginal Propensity to Consume
             Y = Disposable income, i.e. income after tax

Formula: Propensity to Invest

PI = `I / Y`
PI = Propensity to invest, I = Aggregate Investment, Y = Aggregate Income

Formula: Investment Function

The relationship between investment and the rate of interest can be written as:

I = f(r)

Here:

  • I = Investment, the planned amount of investment; it is the dependent variable.
  • r = Rate of interest; it is the independent variable that influences investment.

This notation means that the level of investment depends on the rate of interest.

Key Points

Key Points: Aggregate Demand and Its Components
  • AD determines income levels through its four components, each with unique drivers like income for C and rates for I.
  • Policy can boost AD by increasing G or lowering interest rates to stimulate growth.
  • Understanding planned vs actual demand explains inventory adjustments and equilibrium.
  • For exams, memorize the AD formula and one key driver per component.
Key Points: Investment
  • Economic investment = addition to physical capital + change in inventories — NOT buying shares/bonds
  • Autonomous investment is income-inelastic, welfare-driven, mostly by government; drawn as a horizontal line
  • Induced investment is income-elastic, profit-driven, mostly private; drawn as an upward-sloping line
  • Gross Investment = Net Investment + Depreciation; net investment positive means capital accumulation
  • Ex-ante = planned; Ex-post = actual; equilibrium requires ex-ante S = ex-ante I
  • Investment function I = f(r) is downward-sloping — higher interest means less investment
  • Invest when MEI > Rate of Interest; stop when MEI = Rate of Interest
Key Points: Determination of Income in Two-Sector Model
  • In a two-sector economy (no government), Aggregate Demand (AD) = C + I.
  • Equilibrium occurs when planned output (Y) = planned AD.
  • Autonomous expenditure (A) = C̄ + Ī; income depends on A and MPC (c).
  • If AD < Y, inventories increase; if AD > Y, inventories fall.
  • With no government and taxes, GDP = National Income (Y).
 
Key Points: Effect of an Autonomous Change in Aggregate Demand on Income and Output
  • Equilibrium income depends on aggregate demand (AD).
  • Increase in autonomous consumption or investment shifts AD upward.
  • Rise in investment increases income by more than the initial change.
  • This happens due to the multiplier effect.
  • New equilibrium is at the intersection of new AD and 45° line.
Key Points: The Multiplier Mechanism
  • An increase in autonomous expenditure leads to a more than proportionate rise in income.
  • Extra income generates additional consumption based on MPC.
  • This creates repeated rounds of income and consumption.
  • Multiplier = 1 / (1 − MPC).
  • Higher MPC → larger multiplier effect.
Key Points: Paradox of Thrift
  • When people try to save more, national income falls.
  • Fall in income leads to lower consumption and output.
  • As income falls, total saving remains same or falls.
  • Thus, higher thrift does not increase total savings.
  • This outcome is called the Paradox of Thrift.

Important Questions [15]

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