Ex ante vs ex post: plans, outcomes and unplanned inventories

Aggregate Demand, Income Determination and the Multiplier · section 2 of 8

In this note
  1. Detail
  2. Prelims Hooks
  3. Mains Points

Detail

Why this distinction matters in Keynesian theory

  • Keynes wrote The General Theory in 1936, after the Great Depression. At that time factories stood idle, workers had no jobs, and goods did not sell.
  • His key idea: output is set by aggregate demand (AD), meaning the total planned spending in the economy.
  • Firms produce what they expect to sell.
  • If spending turns out lower or higher than they expected, firms find out after the fact and change their output.

  • Keynes saw investment as the key driver of economic activity. Investment responds to the interest rate and to expectations about the future [4].

  • Expectations are plans, so they are ex ante.
  • The spending that actually takes place is recorded ex post.

  • Assumption behind this model: prices are fixed, and there are spare machines and workers. So output, not price, adjusts when plans do not match.

Two meanings of the same word

  • Ex post (Latin: "after the event") is the actual or accounting value of a variable, measured after the period is over.
  • National-income accounting uses C (consumption), I (investment) and GDP in this sense.
  • Example: the NSO/MoSPI GDP tables show what was actually spent and produced.

  • Ex ante (Latin: "before the event") is the planned or intended value.

  • It is what households meant to consume.
  • It is what firms meant to invest or produce.

  • In short: ex ante = what was planned; ex post = what actually happened.

  • The same word, such as "investment", can mean two different numbers in the same year. Always ask: planned or actual?

NCERT example: the producer's inventory

  • A producer plans to add ₹100 of goods to her stock this year.
  • Planned (ex ante) investment = ₹100.

  • Demand then rises suddenly and she did not expect it. She sells ₹30 of goods out of her stock.

  • Her stock rises by only ₹100 − ₹30 = ₹70.
  • Actual (ex post) investment = ₹70.

  • The gap is −₹30. This is unplanned inventory investment (a fall in stock that she did not intend).

  • Formula:
  • Ex post I = Ex ante (planned) I + Unplanned inventory change
  • ₹70 = ₹100 + (−₹30)

Inventories: definitions

  • Inventory (stock) = output that has been produced but not sold, so it stays with the firm.
  • In India's national accounts, producers' stocks cover raw materials, semi-finished goods and finished goods [3].

  • Inventory investment = the change in inventory during a period (closing stock − opening stock).

  • It is a flow, measured over a period.
  • The inventory itself is a stock, measured at a point in time.

  • Inventory investment can be:

  • Positive: stocks rise.
  • Negative: stocks are run down.

  • There are two reasons for inventory investment:

  • Planned: the firm chooses to keep stocks, for example as a buffer before the festival season.
  • Unplanned: actual sales differ from planned sales, so stocks pile up or run down on their own.

  • Unplanned inventory change is the balancing item. It always makes actual output equal actual spending.

How official data record it (India)

  • In India's national accounts, gross capital formation = gross fixed capital formation (GFCF) + change in stocks [3]. (Valuables are now shown as a separate item [2].)
  • MoSPI calls the inventory line "Changes in Stocks (CIS)". It is an ex post figure: the actual change, planned and unplanned together.
  • Latest data: Q1 (April–June) 2026-27, current prices, base year 2022-23 (released 31 August 2026) [2]:
Item (Q1) 2025-26 2026-27 Share of GDP 2026-27
Changes in Stocks (CIS) ₹1,07,661 crore ₹1,31,305 crore 1.5%
GFCF ₹25,12,912 crore ₹30,26,274 crore 34.3%
Valuables ₹68,100 crore ₹90,825 crore 1.0%
Discrepancies ₹64,852 crore −₹69,478 crore −0.8%
GDP ₹80,00,192 crore ₹88,26,871 crore 100%
  • CIS grew 22.0% in Q1 2026-27 at current prices [2].
  • At constant (2022-23) prices, CIS fell 13.9%, to ₹1,23,063 crore in Q1 2026-27 [2]. The current-price rise and the constant-price fall show how price changes can affect this line.
  • Note 1: the official numbers give only the total change in stocks. They do not show how much was planned and how much was unplanned. That split exists only in theory.
  • Note 2: the "Discrepancies" line is not unplanned inventory. It is a statistical gap: estimates from different data sources do not match exactly [2]. In theory the identity holds exactly. In real data, measurement errors must be balanced.

Identity vs equilibrium condition (a classic trap)

  • Accounting identity (from national-income accounting): ex post output ≡ ex post C + ex post I.
  • The sign "≡" means "true by definition".
  • It always holds, even when the economy is not in equilibrium.
  • This is because unsold goods are counted inside ex post I as unintended inventory investment.

  • Equilibrium condition: Y = Ā + cY

  • Y = output or income.
  • Ā = autonomous expenditure (spending that does not depend on income, e.g. planned investment Ī plus autonomous consumption C̄).
  • c = marginal propensity to consume (MPC), the share of each extra rupee of income that people spend (0 < c < 1).
  • Left side = ex ante supply (planned output).
  • Right side = ex ante demand (planned C + planned I, i.e. aggregate demand).
  • It holds only in equilibrium.

  • Solving it: Y = Ā / (1 − c). Here 1/(1 − c) is the investment multiplier.

Worked example: how unplanned inventories push output to equilibrium

Take Ā = ₹50 crore and c = 0.8.

  • Equilibrium Y = 50 / (1 − 0.8) = ₹250 crore.

Case A: firms produce ₹300 crore (above equilibrium)

  • Planned demand (AD) = 50 + 0.8 × 300 = ₹290 crore.
  • Ex ante demand (₹290) < planned output (₹300), so the equilibrium condition fails.
  • ₹10 crore of goods go unsold. This is an unintended accumulation of inventories.
  • The ex post identity still holds:
  • Actual C = 0.8 × 300 = ₹240 crore (assuming autonomous consumption is zero and all of Ā is planned investment).
  • Actual I = planned ₹50 + unplanned ₹10 = ₹60 crore.
  • C + I = 240 + 60 = ₹300 crore = output ✓

  • What happens next:

  • Stocks pile up → firms cut production → income falls → Y moves down towards ₹250 crore.

Case B: firms produce ₹200 crore (below equilibrium)

  • AD = 50 + 0.8 × 200 = ₹210 crore, which is more than output.
  • Firms sell ₹10 crore from old stock. Unplanned inventory change = −₹10 crore.
  • Actual I = 50 − 10 = ₹40 crore, and actual C = ₹160 crore, so C + I = ₹200 crore = output ✓
  • What happens next:
  • Stocks run down → firms raise production → Y moves up towards ₹250 crore.

At Y = ₹250 crore: AD = 50 + 0.8 × 250 = ₹250 crore. Unplanned inventory change = 0. Plans are met, so firms have no reason to change output.

  • Rule to remember: in equilibrium, unplanned inventory change = 0, and so ex ante and ex post values are equal.

The same logic for saving and investment

  • Ex post S ≡ ex post I: this always holds in a simple two-sector economy (households and firms only).
  • Ex ante S = ex ante I holds only in equilibrium.
  • Check using Case A (Y = ₹300 crore):
  • Saving S = Y − C = 300 − 240 = ₹60 crore.
  • Ex post I = ₹60 crore. The identity holds ✓
  • Planned I = ₹50 crore, but planned S = ₹60 crore. Planned S > planned I, so income will fall.
Ex ante Ex post
Meaning Planned or intended Actual or realised
C + I = Y? Only in equilibrium Always (identity)
S = I? Only in equilibrium Always (two-sector identity)
Unplanned inventory Not included (plans only) Included in I
Role Drives the adjustment of output Records the outcome
Example source Business-expectation surveys MoSPI GDP tables (CIS line) [2]

Prelims Hooks

  • Ex ante = planned or intended value. Ex post = actual or realised value. National-income accounts record ex post values.
  • Ex post I = planned I + unplanned inventory change. NCERT example: ₹100 planned − ₹30 unplanned = ₹70 actual.
  • Trap: "C + I = Y holds only in equilibrium" is false for ex post values. The ex post identity always holds. Only the ex ante equality needs equilibrium.
  • Unplanned inventory accumulation (positive) → AD < output → firms cut output. Unplanned decumulation (negative) → AD > output → firms raise output.
  • At Keynesian equilibrium, unplanned inventory investment = 0.
  • Equilibrium condition Y = Ā + cY gives Y = Ā/(1 − c). The left side is ex ante supply and the right side is ex ante demand.
  • In Indian national accounts, gross capital formation = GFCF + change in stocks (valuables are shown separately) [2][3].
  • MoSPI's "Changes in Stocks (CIS)" was 1.5% of GDP in Q1 2026-27 (current prices, base 2022-23) [2].
  • The "Discrepancies" line in MoSPI GDP tables is a statistical gap, not unplanned inventory [2].

Mains Points

  • Inventories as an early warning sign: stocks that rise without being planned signal weak demand before GDP falls.
  • Rising unsold stock → production cuts → job and income losses → a further fall in demand (the multiplier working in reverse).
  • This supports close tracking of quarterly CIS data and of business-expectation surveys by policymakers [2].

  • Why demand management works (Keynesian logic): when ex ante demand is less than planned output, the economy can settle below full employment.

  • Government spending or an RBI rate cut raises Ā → planned demand rises → firms clear stocks and raise output.
  • This shows the link between this theory and fiscal and monetary policy in GS-III.

  • Limits of the data: GDP accounts are ex post, so they do not show which stocks were planned.

  • A rise in CIS could mean confident firms building stock (planned) or goods that did not sell (unplanned).
  • The "discrepancies" line (−0.8% of GDP in Q1 2026-27) and the gap between current- and constant-price trends call for careful reading [2].

  • Expectations drive output: Keynes placed firms' expectations at the centre of economic activity [4].

  • Clear and predictable policy supports stable ex ante investment plans.
  • Policy uncertainty makes plans and outcomes drift further apart.

Sources

  1. 1Class 12, Ch 4 "Determination of Income and Employment"; Class 12, Ch 1 "Introduction (Macroeconomics)" (primary)
  2. 2MoSPI, Press Note on Quarterly Estimates of GDP for Q1 (April–June) 2026-27, released 31 August 2026mospi.gov.in · tier 1
  3. 3MoSPI, National Accounts Statistics: Sources & Methods 2007, Chapter 34 (Glossary of main terms)mospi.gov.in · tier 1
  4. 4Britannica Money, "Keynesian economics"britannica.com · tier 3