This chapter explores how income and employment levels are determined in an economy, highlighting the role of aggregate demand and its components.
Determination Of Income And Employment – Formula & Equation Sheet
Essential formulas and equations from Introductory Macroeconomics, tailored for Class 12 in Economics.
This one-pager compiles key formulas and equations from the Determination Of Income And Employment chapter of Introductory Macroeconomics. Ideal for exam prep, quick reference, and solving time-bound numerical problems accurately.
Key concepts & formulas
Essential formulas, key terms, and important concepts for quick reference and revision.
Formulas
C = C + cY
C represents total consumption, C is autonomous consumption, c is the marginal propensity to consume (MPC), and Y is income. This function illustrates how consumption varies with income, incorporating both fixed and variable components.
S = Y - C
S denotes savings, Y is income, and C is consumption. This formula shows the remaining income after consumption, which is saved.
MPC = ΔC / ΔY
MPC is the marginal propensity to consume, representing the change in consumption (ΔC) per unit change in income (ΔY). This ratio reflects how much of additional income is spent.
MPS = ΔS / ΔY
MPS is the marginal propensity to save, indicating the change in savings (ΔS) per unit of change in income (ΔY). It shows the portion of income saved.
APC = C / Y
APC is the average propensity to consume, which is the ratio of total consumption (C) to total income (Y). It reflects the overall consumption behavior in relation to income.
APS = S / Y
APS is the average propensity to save, which is the ratio of total savings (S) to total income (Y). It indicates the fraction of income that is saved.
AD = C + I + G
AD (aggregate demand) sums consumption (C), investment (I), and government expenditure (G). It represents total demand for final goods in the economy.
Y = A + cY
In equilibrium, Y (output) equals total autonomous expenditure (A) plus induced consumption (cY). This reflects the balance between demand and output.
Multiplier = 1 / (1 - c)
The investment multiplier defines the total increase in output resulting from an initial increase in spending. It shows the impact of increased consumption on aggregate demand.
ΔY = Multiplier × ΔAD
This equation indicates the change in output (ΔY) resulting from a change in aggregate demand (ΔAD). It underlines the multiplier effect in the economy.
Equations
Yd = Y - T
Yd is disposable income, Y is total income, and T is taxes. This equation shows the income available for consumption and saving after taxes.
I = I
I is autonomous investment. This indicates that in simplified models, investment levels can be assumed constant despite fluctuations in economic conditions.
AD = C + I + c(Y - T)
This modified aggregate demand equation includes consumption (C), investment (I), and induced consumption using disposable income (Y - T). It shows total demand in a government-influenced economy.
ΔAD = ΔC + ΔI
This equation states that the change in aggregate demand (ΔAD) equals changes in consumption (ΔC) and investment (ΔI). It emphasizes how both components contribute to shifts in aggregate demand.
Y = 1/(1-c) * A
This states that if aggregate demand A increases, the total output Y adjusts through the multiplier effect, depending on the marginal propensity to consume (c).
E = AD = AS
This equation states that equilibrium occurs when aggregate demand (AD) equals aggregate supply (AS). It defines the condition for macroeconomic stability.
S = cY
This formula indicates savings (S) as a function of the marginal propensity to save (c) multiplied by income (Y). It reflects how savings behavior varies with income changes.
C = C + MPC(Yd)
Consumption is depicted as a function of both autonomous components and induced consumption based on disposable income (Yd). It shows the relationship between planned consumption and income.
Inventory Investment: ΔI = Iactual - Iplanned
This defines inventory investment as the change in actual inventory (Iactual) minus planned inventory (Iplanned), which affects production and economic stability.
Unplanned Inventory Change = Actual Output - Planned Output
This shows how differences between actual and planned output impact inventory levels. Unplanned changes indicate market responses to supply and demand discrepancies.
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