Ex ante vs ex post: plans, outcomes and unplanned inventories
Aggregate Demand, Income Determination and the Multiplier · section 2 of 8
In this note
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.
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If spending turns out lower or higher than they expected, firms find out after the fact and change their output.
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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.
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The spending that actually takes place is recorded ex post.
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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.
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Example: the NSO/MoSPI GDP tables show what was actually spent and produced.
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Ex ante (Latin: "before the event") is the planned or intended value.
- It is what households meant to consume.
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It is what firms meant to invest or produce.
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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.
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Planned (ex ante) investment = ₹100.
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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.
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Actual (ex post) investment = ₹70.
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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.
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In India's national accounts, producers' stocks cover raw materials, semi-finished goods and finished goods [3].
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Inventory investment = the change in inventory during a period (closing stock − opening stock).
- It is a flow, measured over a period.
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The inventory itself is a stock, measured at a point in time.
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Inventory investment can be:
- Positive: stocks rise.
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Negative: stocks are run down.
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There are two reasons for inventory investment:
- Planned: the firm chooses to keep stocks, for example as a buffer before the festival season.
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Unplanned: actual sales differ from planned sales, so stocks pile up or run down on their own.
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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.
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This is because unsold goods are counted inside ex post I as unintended inventory investment.
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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).
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It holds only in equilibrium.
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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.
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C + I = 240 + 60 = ₹300 crore = output ✓
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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).
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This supports close tracking of quarterly CIS data and of business-expectation surveys by policymakers [2].
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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.
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This shows the link between this theory and fiscal and monetary policy in GS-III.
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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).
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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].
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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
- 1Class 12, Ch 4 "Determination of Income and Employment"; Class 12, Ch 1 "Introduction (Macroeconomics)" (primary)
- 2MoSPI, Press Note on Quarterly Estimates of GDP for Q1 (April–June) 2026-27, released 31 August 2026mospi.gov.in · tier 1
- 3MoSPI, National Accounts Statistics: Sources & Methods 2007, Chapter 34 (Glossary of main terms)mospi.gov.in · tier 1
- 4Britannica Money, "Keynesian economics"britannica.com · tier 3