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Business cycles

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In short

A business cycle (trade cycle) is the recurring but non-periodic fluctuation of aggregate economic activity — output, employment, income, trade and credit — around its long-run trend, moving through expansion, peak, contraction and trough. It matters because the cost of a downturn is paid in lost output and jobs, and because almost every stabilisation instrument exists to dampen it. In Indian BA/MA papers it carries full-length questions on phases, characteristics, Schumpeter's and Samuelson's theories and the multiplier–accelerator interaction; in UPSC/RBI Grade B/NABARD and bank-economist interviews it appears as quarterly GDP reading, output gap, leading indicators and countercyclical policy. Analyst roles at RBI, rating agencies, banks and brokerages use exactly this vocabulary daily.

Explained

What a business cycle is, and what it is not

Phases and the anatomy of a cycle

  1. Expansion / recovery / revival: output, employment, incomes, credit and investment rise; capacity utilisation rises while inventories of finished goods fall initially; business expectations improve; prices firm up.
  2. Peak (boom): full or over-full employment of capacity; bottlenecks, rising wages and input costs; speculative investment and asset-price froth; profits peak before output does; credit quality quietly deteriorates.
  3. Contraction / recession: demand falls, order books thin, unsold inventories pile up, investment is postponed, employment and incomes fall, bad loans rise, credit tightens — a downward cumulative spiral.
  4. Trough / depression: activity bottoms out; excess capacity; low interest rates and low prices; replacement demand, cheap credit, innovation or a policy stimulus restores profitability and starts the next revival.
  5. Turning points (peak and trough) are what forecasters actually try to call; amplitude is the depth peak-to-trough and duration the length peak-to-peak.
  6. Stylised facts (behaviour of components): consumption is *smoother* than GDP; investment (especially inventories and construction) is 2–4 times as volatile; imports are highly procyclical; employment lags output; labour productivity is procyclical; tax revenue is procyclical while the fiscal deficit and unemployment are countercyclical.
  7. Classification by variable behaviour: *procyclical* — GDP, IIP, consumer durables, credit growth, imports, tax collections, equity prices; *countercyclical* — unemployment rate, inventory–sales ratio, NPAs (with a lag), fiscal deficit; *acyclical* — roughly trend-less series.

Types of cycles by length

CycleApprox. lengthAttributed driver
Kitchin (minor/inventory)3–4 yearsInventory build-up and run-down
Juglar (major/business)7–11 yearsFixed investment, credit
Kuznets (infrastructure)15–25 yearsBuilding, construction, demographics
Kondratieff (long wave)45–60 yearsClusters of basic innovations

Theories of the business cycle

Measurement: trend, cycle and indicators

Indian episodes and the policy response

Key points

Formulas and examples

Multiplier–accelerator (Samuelson, 1939): Yₜ = Gₜ + Cₜ + Iₜ, with Cₜ = αYₜ₋₁ and Iₜ = β(Cₜ − Cₜ₋₁)
⇒ Yₜ = Gₜ + α(1+β)Yₜ₋₁ − αβYₜ₋₂
α = marginal propensity to consume (0 < α < 1, unitless); β = accelerator coefficient (unitless); Y, C, I, G in ₹ crore
Nature of the path — roots of x² − α(1+β)x + αβ = 0:
cyclical if [α(1+β)]² < 4αβ ; monotonic if ≥ 4αβ.
damped if αβ < 1 ; constant-amplitude if αβ = 1 ; explosive if αβ > 1.
Equilibrium (static) income = G/(1 − α)
Acceleration principle: net investment Iₜ = v(Yₜ − Yₜ₋₁); gross investment = v·ΔY + replacement
v = K/Y, the capital–output ratio (unitless, typically 2–4 for an economy)
Output gap (%) = 100 × (Y − Y*)/Y*, Y = actual real GDP, Y* = potential real GDP (₹ crore, constant prices)
Trend–cycle decomposition: Yₜ = Tₜ × Cₜ × Sₜ × Iₜ (multiplicative) or yₜ = τₜ + cₜ (additive, in logs)
HP filter: choose τₜ to minimise Σ(yₜ − τₜ)² + λΣ(τₜ₊₁ − 2τₜ + τₜ₋₁)²; λ = 1600 (quarterly), 100 or 6.25 (annual)
Amplitude (%) = 100 × (Peak − Trough)/Peak ; Duration = quarters or months between successive peaks
Diffusion index = 100 × (series rising + ½ × series unchanged)/total series

Example 1 — Samuelson's model, period-by-period path. Take α = 0.5, β = 1, and G jumping permanently from 0 to ₹1,000 crore from period 1 (Y₀ = Y₋₁ = 0). Recursion: Yₜ = 1000 + 0.5(1+1)Yₜ₋₁ − 0.5(1)Yₜ₋₂ = 1000 + 1.0·Yₜ₋₁ − 0.5·Yₜ₋₂ (₹ crore).

Check against the criteria: [α(1+β)]² = 1² = 1 and 4αβ = 2, so 1 < 2 → cyclical; αβ = 0.5 < 1 → damped. The path oscillates and converges to G/(1−α) = 1000/0.5 = ₹2,000 crore, exactly as computed. (If β were raised to 3, αβ = 1.5 > 1 → explosive, and Hicks' ceiling and floor would be needed to contain it.)

Example 2 — the accelerator makes investment fall while output still rises. Capital–output ratio v = 2; replacement investment ₹10 crore per year.

YearY (₹ cr)ΔYNet I = 2ΔYGross I
1100——10
2110+102030
3115+51020
41150010
5112−3−64

Year 3: output is still rising, yet net investment halves from ₹20 cr to ₹10 cr — a *deceleration* in demand is enough to cut investment, and the capital-goods sector enters recession first. In year 5 desired net investment is −₹6 cr but actual disinvestment is limited to ₹10 cr of foregone replacement — the asymmetry behind Hicks' floor.

Example 3 — dating a recession and measuring it. Seasonally adjusted real GDP (₹ lakh crore): Q1 36.20, Q2 35.10, Q3 33.80, Q4 34.50.

Example 4 — output gap and what it signals. Potential real GDP Y* = ₹170.00 lakh crore; actual Y = ₹164.90 lakh crore. Gap = 100 × (164.90 − 170.00)/170.00 = 100 × (−5.10/170.00) = −3.0% → slack, disinflationary pressure, a case for accommodation. If instead Y = ₹173.40 lakh crore, gap = 100 × 3.40/170.00 = +2.0% → overheating. With an Okun coefficient of 2, a −3.0% gap maps to unemployment about 1.5 percentage points above its natural rate.

Example 5 — de-trending by a 3-year centred moving average. Real GDP index: 100, 104, 102, 108, 112, 110, 116.

YearY3-yr MA (trend)Cycle = Y − T% deviation
2104(100+104+102)/3 = 102.00+2.00+1.96%
3102(104+102+108)/3 = 104.67−2.67−2.55%
4108(102+108+112)/3 = 107.33+0.67+0.62%
5112(108+112+110)/3 = 110.00+2.00+1.82%
6110(112+110+116)/3 = 112.67−2.67−2.37%

The trend rises throughout, yet the cyclical component alternates in sign — a growth cycle with no absolute fall in output, which is the typical Indian pattern.

Where it is used

Interview questions

Common mistakes

Related topics

Consumption, investment and the multiplier · Aggregate demand and aggregate supply · IS-LM model · Inflation and unemployment · Monetary policy and the RBI · Fiscal policy and the Union Budget · Economic growth models: Harrod-Domar and Solow

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