Every numerical formula and identity a CBSE Class 12 Economics student needs (cross-checked against Sandeep Garg's Introductory Macroeconomics), organised chapter-wise. Each formula lists its variables. No worked examples — pure reference.
I = S
I = Investment; S = Saving. In a closed economy with only households and firms, planned investment must equal planned saving at equilibrium.
I + G = S + T
Adds government to the two-sector model. G = Government Expenditure (an injection); T = Taxes (a leakage). Closed economy with no foreign trade.
I + G + X = S + T + M
Total injections equal total leakages. X = Exports (an injection); M = Imports (a leakage). Open economy.
Injections = I + G + X (additions to income stream)
Leakages = S + T + M (withdrawals from income stream)
Injections add new income flow not from household consumption. Leakages remove income from the consumption flow. At equilibrium they are equal.
Final Goods — for final consumption or capital formation (counted in GDP)
Intermediate Goods — used up in producing other goods in the same accounting year
(excluded from GDP — only value added is counted)
A good is not inherently intermediate or final — flour is intermediate if used by a baker, final if bought by a household. Only final goods appear in the Expenditure Method; the Value Added Method avoids double counting automatically.
Stock — measured at a point in time (e.g. money supply on 31 March)
Flow — measured over a period of time (e.g. national income per year)
GDP, GNP, NI = Flows (annual totals). Capital stock, money supply, forex reserves = Stocks. A flow is the rate of change of a related stock. Knowing this distinction is essential for CBSE 1-mark questions.
Domestic Territory includes:
+ Geographic boundary of the country
+ Ships, aircraft, fishing vessels and oil rigs owned by residents
operating in international waters/airspace
+ Embassies, consulates, military bases of the country abroad
Domestic Territory excludes:
− Embassies and consulates of foreign countries on Indian soil
Domestic Territory is an economic concept (wider than geographic). GDP counts all production within domestic territory regardless of who produces it. Normal Resident: person whose centre of economic interest is in India; stay ≥ 1 year.
GNP(MP) = GDP(MP) + NFIA
NFIA = Net Factor Income from Abroad = Factor income earned by residents abroad − Factor income earned by non-residents in India. MP = Market Price.
NFIA = Net Compensation of Employees from abroad
+ Net Income from Property & Entrepreneurship from abroad
+ Net Retained Earnings of Resident Companies abroad
NFIA splits into three components. Each is computed as (income earned by residents abroad − income earned by non-residents in India) for that category.
NDP(MP) = GDP(MP) − Depreciation
NNP(MP) = GNP(MP) − Depreciation
Depreciation = Consumption of Fixed Capital (CFC), the wear and tear of fixed capital assets during the year.
Net Investment = Gross Investment − Depreciation
Gross Investment includes replacement of worn-out capital; Net Investment is the genuine addition to the capital stock.
GDP(FC) = GDP(MP) − NIT
GNP(FC) = GNP(MP) − NIT
NDP(FC) = NDP(MP) − NIT
NNP(FC) = NNP(MP) − NIT
NIT = Indirect Taxes − Subsidies
NIT = Net Indirect Taxes. FC = Factor Cost. Same NIT adjustment converts any MP aggregate to its FC counterpart.
Domestic Income = NDP(FC)
Income earned within the domestic territory (regardless of who earns it).
NI = NNP(FC) = Domestic Income + NFIA
= GNP(MP) − Depreciation − NIT
NI = National Income = Net National Product at Factor Cost. The cleanest identity is Domestic Income (NDP at FC) plus NFIA.
Private Income = NDP(FC) accruing to Private Sector + NFIA
+ National Debt Interest + Current Transfers from Government
+ Net Current Transfers from rest of the world
Total income accruing to the private sector from all sources. Distinct from National Income (which includes public-sector income too).
PI = Private Income − Undistributed Profits − Corporate Tax
PI = Personal Income — income actually received by households before personal taxes. Equivalently: PI = NI − Corporate retained earnings − Corporate tax + Transfer payments to households.
DPI = PI − Personal Direct Taxes − Miscellaneous Receipts of Government
DPI = income households can actually spend or save. Miscellaneous receipts = fees, fines etc. paid by households to government.
Gross NDI = GNP(MP) + Net Current Transfers from rest of the world
Net NDI = NNP(MP) + Net Current Transfers from rest of the world
NDI represents the total disposable income of the country. It includes net unilateral transfers from abroad on top of national product.
Per Capita Income = NI ÷ Population
Real Per Capita Income = Real NI ÷ Population
Average income per person. Real Per Capita Income strips out price changes for genuine standard-of-living comparisons.
Real GDP = (Nominal GDP ÷ Price Index) × 100
Nominal GDP = (Real GDP × Price Index) ÷ 100
Nominal GDP = GDP at current year prices; Real GDP = GDP at base year prices; Price Index = current price index with base = 100.
GDP Deflator = (Nominal GDP ÷ Real GDP) × 100
A price index covering all goods and services in GDP. Measures average price change in the economy.
GDP(MP) = C + I + G + (X − M)
C = Private Final Consumption Expenditure (PFCE); I = Gross Domestic Capital Formation; G = Government Final Consumption Expenditure (GFCE); X − M = Net Exports.
Two-sector: GDP(MP) = C + I
Three-sector: GDP(MP) = C + I + G
Four-sector: GDP(MP) = C + I + G + (X − M)
Each adds a sector. Two-sector = households + firms only; three-sector adds government; four-sector adds foreign trade.
Net Exports (NX) = X − M
Exports of goods AND services minus imports of goods AND services. Distinct from Balance of Trade (which covers only goods).
GDCF = Gross Fixed Capital Formation + Change in Stock + Net Acquisition of Valuables
Gross Fixed Capital Formation = Business Fixed Investment
+ Residential Investment
+ Public Investment
Net Domestic Capital Formation = GDCF − Depreciation
GDCF = total gross investment in the economy. Net Domestic Capital Formation is the genuine addition to capital stock after replacing worn-out capital.
NDP(FC) = Compensation of Employees + Operating Surplus + Mixed Income
Sum of factor incomes earned within domestic territory. Adding NFIA gives National Income.
COE = Wages & Salaries in cash
+ Wages & Salaries in kind
+ Employers' contributions to social security
Total payment to labour from production. Includes both cash compensation and in-kind benefits (food, housing, etc.).
Operating Surplus = Rent + Royalty + Interest + Profit
Sum of property and entrepreneurship incomes. Excludes mixed income (which is treated separately).
Profit = Dividends + Undistributed Profits + Corporate Tax
Profit before corporate tax = Dividends paid to shareholders + Profits retained by company + Corporate tax paid to government.
NI = NDP(FC) + NFIA
After computing NDP(FC) by summing factor incomes domestically, add Net Factor Income from Abroad to get National Income.
GVA(MP) = Value of Output − Intermediate Consumption
NVA(MP) = GVA(MP) − Depreciation
NVA(FC) = NVA(MP) − NIT
GDP(MP) = Σ GVA(MP) (across all production units)
GVA = Gross Value Added; NVA = Net Value Added. The chain converts gross-at-MP value-added into net-at-FC. Sum across all units gives GDP(MP) — avoids double counting.
Value of Output = Sales + Change in Stock
Change in Stock = Closing Stock − Opening Stock
Output is what is produced in the year, whether sold or stockpiled. Change in Stock can be positive (stock added) or negative (stock drawn down).
× Transfer payments (pensions, scholarships, gifts)
× Sale or purchase of second-hand goods
× Intermediate goods (counted only once at final stage)
× Windfall gains (lottery, treasure)
× Illegal/black-market activities
× Non-monetary household services
Standard CBSE precautions list. None of these represent new production within the accounting period.
MV = PT
M = Money supply; V = Velocity of circulation (number of times each unit changes hands); P = General price level; T = Total volume of transactions. Fisher assumes V and T are constant in the short run.
P = MV ÷ T
If M doubles (with V, T constant), P doubles — the basis of the Quantity Theory of Money.
M1 = Currency with Public + Demand Deposits with Commercial Banks + Other Deposits with RBI
Most liquid measure of money supply in India. Currency with public excludes cash held by banks themselves.
M2 = M1 + Savings Deposits with Post Office Savings Banks
M1 plus savings deposits held with post-office savings banks. M1 and M2 together are classified as narrow money.
M3 = M1 + Time Deposits with Commercial Banks
Most commonly cited measure of money supply in India. Time deposits are fixed deposits with a maturity period.
M4 = M3 + Total Deposits with Post Office Savings Banks (excluding NSCs)
Broadest measure of money supply. NSC = National Savings Certificate. M3 and M4 together are classified as broad money.
M1 > M2 > M3 > M4 (in liquidity)
M1 < M2 < M3 < M4 (in size)
M1 is the most liquid but smallest in size; M4 is the least liquid but largest in size. Each successive aggregate adds less-liquid components.
H = Currency held by Public (C) + Cash Reserves of Banks (R)
= Currency in circulation + Bankers' deposits with RBI + Other deposits with RBI
H = High-Powered Money (also called Monetary Base or Reserve Money). It is the total currency issued by the RBI plus bank reserves held with the RBI. It forms the base on which the money supply is built.
M = m × H
m = M ÷ H
M = Money Supply (typically M1 or M3); m = Money Multiplier; H = High-Powered Money. Since m > 1, money supply is a multiple of high-powered money.
k = 1 ÷ LRR
k = Money (Credit) Multiplier; LRR = Legal Reserve Ratio (the fraction of deposits banks must keep as reserves). Lower LRR → higher multiplier.
m = (1 + cdr) ÷ (cdr + rdr)
cdr = Currency-Deposit Ratio (Currency held by public ÷ Deposits); rdr = Reserve-Deposit Ratio (Bank reserves ÷ Deposits). Used when public also holds part of money as currency, not just deposits.
Total Deposits = Initial Deposit × (1 ÷ LRR)
If LRR = 20%, an initial deposit of ₹1,000 generates total deposits of ₹5,000 in the banking system through successive lending.
Total Credit Created = Initial Deposit × (k − 1)
= Total Deposits − Initial Deposit
The new loans (credit) created by the banking system equals total deposits minus the original primary deposit. With LRR = 20%, a ₹1,000 initial deposit creates ₹4,000 of new loans (and ₹5,000 of total deposits).
LRR = CRR + SLR
CRR = Cash Reserve Ratio (cash with RBI); SLR = Statutory Liquidity Ratio (liquid assets within the bank — cash, gold, approved govt securities). Both are RBI policy tools.
Margin = (Value of Security − Loan Amount) ÷ Value of Security
Loan Amount = (1 − Margin) × Value of Security
A qualitative monetary policy tool. Higher margin → smaller loan against the same collateral → tighter credit. Lower margin → larger loan → easier credit.
CRR · SLR · Bank Rate · Repo Rate · Reverse Repo Rate · OMO · MSF
Repo Rate = rate at which RBI lends short-term to banks against collateral; Reverse Repo = rate at which RBI borrows from banks; Bank Rate = long-term lending without collateral; OMO = Open Market Operations (RBI buys/sells government securities); MSF = Marginal Standing Facility (overnight emergency lending to banks).
Two-sector: AD = C + I
Three-sector: AD = C + I + G
Four-sector: AD = C + I + G + (X − M)
Total planned expenditure at a given income level. Each form adds a sector. CBSE asks which form fits a given economy.
AS = C + S = Y
Aggregate Supply equals total income generated in production. In the Keynesian 45° diagram, AS is the 45° line — every point shows where output equals income.
Y = C + S
Total income equals consumption plus saving (two-sector with no taxes). With taxes: Y = C + S + T.
C = a + bY
a = Autonomous consumption (consumption when Y = 0, financed by dissaving); b = MPC (Marginal Propensity to Consume); Y = National Income.
S = −a + (1 − b)Y
Derived from Y = C + S. (1 − b) = MPS (Marginal Propensity to Save). At Y = 0, S = −a (dissaving equal to autonomous consumption).
At break-even: Y = C, S = 0, APC = 1, APS = 0
The income level at which households consume exactly all their income — no saving, no dissaving. Below break-even: Y < C, S < 0, APC > 1. Above break-even: Y > C, S > 0, APC < 1.
APC = C ÷ Y (Average Propensity to Consume)
APS = S ÷ Y (Average Propensity to Save)
APC > 1 below break-even (dissaving). APC = 1 at break-even. APC < 1 above break-even. APS mirror image — can be negative at low income.
MPC = ΔC ÷ ΔY (Marginal Propensity to Consume)
MPS = ΔS ÷ ΔY (Marginal Propensity to Save)
Both lie between 0 and 1 (inclusive at limits). Δ denotes change in. Keynesian theory typically assumes 0 < MPC < 1.
APC + APS = 1
MPC + MPS = 1
Since income is either consumed or saved, the propensities (both average and marginal) must sum to 1.
0 ≤ MPC ≤ 1 0 ≤ MPS ≤ 1
APC can be > 1 (at low income; dissaving)
APS can be < 0 (at low income; dissaving)
Marginal propensities are bounded by [0, 1]. Average propensities are not — APC can exceed 1 and APS can be negative when consumption exceeds income.
K = 1 ÷ MPS = 1 ÷ (1 − MPC)
K = Investment Multiplier — the ratio of total change in income to the initial change in autonomous investment. Higher MPC → larger multiplier.
ΔY = K × ΔI
ΔY = Change in equilibrium income; ΔI = Change in autonomous investment.
1 ≤ K ≤ ∞
K = 1 when MPC = 0 (no amplification)
K → ∞ when MPC = 1 (theoretical limit)
The multiplier is at least 1 (the original investment itself counts). It approaches infinity if MPC = 1 (all extra income is re-spent). In practice, 0 < MPC < 1 so K is finite and greater than 1.
Y = C + I
Y = (a + bY) + I [substitute consumption function]
Y − bY = a + I
Y(1 − b) = a + I
Y = (a + I) ÷ (1 − b)
Y = (a + I) ÷ (1 − MPC) = (a + I) ÷ MPS
Solved by substituting the consumption function into Y = C + I and rearranging. I here is autonomous investment (independent of income).
AD = AS (equivalently) S = I
Equilibrium occurs where planned aggregate demand equals planned aggregate supply, equivalently where planned saving equals planned investment.
If all households try to save MORE → AD falls → Y falls
→ Actual savings may NOT rise (or may fall)
Keynes' insight: individually rational saving is collectively self-defeating in an underemployment economy. Higher saving propensity reduces consumption → lowers AD → lowers income → lower actual saving. Applies only when there are idle resources.
Full Employment Equilibrium — Y_eq = Y_FE (all resources fully employed)
Underemployment Equilibrium — Y_eq < Y_FE (idle resources, unemployment)
Y_FE = Full-employment level of income. Keynes argued the economy can stay at underemployment equilibrium without self-correcting — hence the case for government intervention.
Inflationary Gap = Actual AD − AD required at full employment
Excess of actual aggregate demand over the AD needed for full employment. Output cannot rise beyond full employment, so excess demand causes demand-pull inflation.
Deflationary Gap = AD required at full employment − Actual AD
Shortfall of actual aggregate demand below the AD needed for full employment. Causes recession and unemployment.
AD Gap = Income Gap × MPS
Income Gap = AD Gap × Multiplier = AD Gap ÷ MPS
The two gaps are linked by the multiplier. To close an income gap of ΔY at full employment, AD must change by ΔY × MPS (which the multiplier 1/MPS will then scale back up to ΔY).
FISCAL — Reduce govt expenditure, Increase taxes, Reduce transfers, Surplus budget
MONETARY — Raise CRR, SLR, Repo Rate, Reverse Repo, Bank Rate; OMO sale of securities
Contractionary policy. Withdraws money from the economy, reduces credit, lowers AD towards full-employment level.
FISCAL — Increase govt expenditure, Reduce taxes, Increase transfers, Deficit budget
MONETARY — Reduce CRR, SLR, Repo Rate, Reverse Repo, Bank Rate; OMO purchase of securities
Expansionary policy. Injects money, expands credit, raises AD towards full-employment level.
Revenue Receipts = Tax Revenue + Non-Tax Revenue
Receipts that do not create a liability or reduce an asset. Tax Revenue = Direct Tax + Indirect Tax. Non-Tax Revenue = interest receipts, profits/dividends from PSUs, fees, fines, grants.
Tax Revenue = Direct Tax + Indirect Tax
Direct Tax — Income tax, Corporate tax, Wealth tax, Property tax
Indirect Tax — GST, Customs duty, Excise duty
Direct tax: incidence and impact fall on the same person (cannot be shifted). Indirect tax: incidence and impact fall on different persons (can be shifted).
Capital Receipts = Borrowings + Disinvestment + Recovery of Loans
Receipts that either create a liability (borrowings) or reduce an asset (disinvestment of PSU shares; recovery of loans given by government). All three are capital-account items.
Revenue Expenditure — does NOT create assets or reduce liabilities
Capital Expenditure — creates assets OR reduces liabilities
Examples of revenue expenditure: salaries, interest payments, subsidies, pensions. Examples of capital expenditure: roads, dams, buildings (asset creation); repayment of debt principal (liability reduction).
Balanced Budget — Total Receipts = Total Expenditure
Surplus Budget — Total Receipts > Total Expenditure
Deficit Budget — Total Receipts < Total Expenditure
Most modern governments run a deficit budget for stimulus and development. A surplus budget is contractionary; a balanced budget is neutral.
Revenue Deficit = Revenue Expenditure − Revenue Receipts
Arises when revenue expenditure exceeds revenue receipts. Indicates the government is borrowing to meet day-to-day operational expenses — a sign of fiscal stress.
1. Reallocation of resources
2. Redistribution of income
3. Economic stability (counter inflation/deflation)
4. Economic growth
5. Management of public sector undertakings
The budget is the government's primary instrument of fiscal policy. CBSE board-tested objectives — not formulas, but standard reference.
Budget Deficit = Total Expenditure − Total Receipts
The simplest deficit measure (officially retired in 1997-98 but still defined in syllabus). Captures the gap between all government spending and all receipts.
Effective Revenue Deficit = Revenue Deficit − Grants for Creation of Capital Assets
Introduced in 2011-12. Excludes grants given to states for asset creation, since these effectively become capital expenditure at the state level. A truer measure of revenue stress.
Fiscal Deficit = Total Expenditure − (Total Receipts − Borrowings)
= Total Expenditure − Revenue Receipts − Non-debt Capital Receipts
= Revenue Deficit + (Capital Expenditure − Non-debt Capital Receipts)
The total borrowing requirement of the government for the year. Non-debt Capital Receipts = Recovery of Loans + Disinvestment proceeds (capital receipts that don't create new debt).
Fiscal Deficit = Net Borrowings of Government
An accounting identity. The fiscal deficit equals the additional borrowing the government must do to fund the gap. This includes borrowings from RBI, the public, banks, and abroad.
Primary Deficit = Fiscal Deficit − Interest Payments
Strips out the interest burden of past debt. PD = 0 means borrowing only to service past debt; PD > 0 means new fiscal expansion; PD < 0 (primary surplus) means revenues cover spending and partially service debt.
Fiscal Deficit ≥ Revenue Deficit
Fiscal Deficit covers the entire budget; Revenue Deficit covers only the revenue account. The gap = Capital Expenditure − Non-debt Capital Receipts.
1. Borrowing from RBI (deficit financing / monetisation)
2. Borrowing from public, banks, financial institutions
3. External borrowing (IMF, World Bank, foreign banks)
4. Drawdown of cash balance
Borrowing from RBI directly increases money supply (inflationary). External borrowing creates currency-risk. Public borrowing is the most common method but causes crowding out of private investment.
e = Units of Domestic Currency per Unit of Foreign Currency
Convention used here: e rises ⇒ rupee weakens (depreciation/devaluation); e falls ⇒ rupee strengthens (appreciation/revaluation).
Fixed Rate — set and defended by the government / RBI
Flexible Rate — determined entirely by market demand and supply
Managed Float — market-determined with periodic RBI intervention
India operates a managed float. A fixed-rate system requires large forex reserves; a flexible system has no reserve requirement but creates volatility.
Depreciation — fall in rupee value under FLEXIBLE rate (market-driven)
Devaluation — fall in rupee value under FIXED rate (policy-driven)
Both raise e. Both make exports cheaper for foreign buyers and imports costlier for domestic buyers. Difference is mechanism: market force vs government decision.
Appreciation — rise in rupee value under FLEXIBLE rate (market-driven)
Revaluation — rise in rupee value under FIXED rate (policy-driven)
Both lower e. Both make exports costlier for foreign buyers and imports cheaper for domestic buyers.
Demand for Forex (e*) = Supply of Forex (e*)
Under a floating rate, the equilibrium exchange rate e* is where the demand curve for foreign exchange intersects the supply curve. Demand slopes downward; supply slopes upward.
Imports + Foreign tourism by residents + Investment abroad
+ Remittances sent abroad + Foreign education + Repaying foreign loans
All transactions where Indian residents need foreign currency to pay non-residents. Demand curve slopes downward — cheaper forex (stronger rupee) means more imports.
Exports + Foreign tourists in India + FDI / FII inflows
+ NRI remittances to India + External commercial borrowings + Foreign aid
All transactions where non-residents need Indian rupees and supply foreign currency. Supply curve slopes upward — more expensive forex (weaker rupee) means more exports.
e = P_domestic ÷ P_foreign
Absolute PPP: long-run equilibrium exchange rate equals the ratio of price levels. If domestic inflation exceeds foreign inflation, the rupee should depreciate. PPP holds in the long run for tradable goods only.
Real Exchange Rate = (e × P_foreign) ÷ P_domestic
Adjusts the nominal exchange rate (e) for differences in price levels. Used to compare actual purchasing power across countries.
Spot Rate — exchange rate for immediate delivery
Forward Rate — exchange rate agreed today for a future delivery date
Forward markets help hedge against exchange-rate risk. Premium = Forward > Spot; Discount = Forward < Spot.
Visible items — physical goods (exports + imports of goods)
Invisible items — services + investment income + unilateral transfers
Visible items appear in the customs records (you can "see" them at the border). Invisible items are services and intangible flows.
BoT = Exports of Goods − Imports of Goods
Covers only merchandise (visible) trade. Trade Surplus / Favourable BoT: BoT > 0. Trade Deficit / Unfavourable BoT: BoT < 0.
CA Balance = (Exports − Imports of Goods) [Trade balance / BoT]
+ (Service Receipts − Service Payments) [Net invisibles]
+ (Transfer Receipts − Transfer Payments) [Net unilateral transfers]
Sum of the trade balance, net invisibles, and net unilateral transfers (remittances, gifts, foreign aid).
Capital Account = Borrowings & Lendings + Investments (FDI + FII)
+ Banking Capital + Official Reserve Transactions
Records all transactions that change asset/liability position with the rest of the world. FDI = Foreign Direct Investment (long-term, with control). FII = Foreign Institutional Investment (portfolio, short-term).
Capital Account Balance = Net Capital Inflows − Net Capital Outflows
A surplus on capital account typically finances a deficit on current account.
Autonomous — undertaken for commercial reasons; "above the line"
(exports, imports, FDI, remittances, tourism)
Accommodating — undertaken to settle BoP imbalance; "below the line"
(RBI changes in official forex reserves)
BoP surplus or deficit is measured only on autonomous transactions. Accommodating transactions then balance the books.
BoP Surplus — Autonomous Credits > Autonomous Debits
BoP Deficit — Autonomous Credits < Autonomous Debits
A surplus adds to official foreign exchange reserves; a deficit draws them down.
Autonomous (CA + KA) + Accommodating (Reserve Transactions) + Errors & Omissions = 0
Through double-entry bookkeeping, the overall BoP always balances. Errors & Omissions captures statistical discrepancies. The autonomous-vs-accommodating distinction is what reveals whether the country is in BoP surplus or deficit.
BoT covers — only merchandise (visible) trade
BoP covers — BoT + invisibles + unilateral transfers + capital account
BoT can show surplus or deficit; BoP always balances
BoP is far broader and more comprehensive than BoT. Most countries with a trade deficit can still finance it through capital inflows on the BoP.