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IAI Actuarial Core Principles · Business Economics

Impact of macroeconomic policies on businesses: formula sheet

Full chapter guide

Key formulas

Real GDP growth rate
g = (Real GDP this year − Real GDP last year) ÷ Real GDP last year × 100
Use real, not nominal, GDP so that price changes do not distort growth.
Inflation rate
Inflation = (CPI now − CPI a year ago) ÷ CPI a year ago × 100
Measures the annual rise in the general price level.
Unemployment rate
Unemployment rate = Unemployed ÷ Labour force × 100
Labour force = employed + unemployed. People not looking for work are outside it.
Current account balance
Current account = Exports of goods and services − Imports of goods and services + Net primary income + Net transfers
A deficit means the country spends more abroad than it earns from abroad. It is financed by the capital and financial account.
Government budget balance
Budget balance = Government revenue − Government spending
A negative figure is a deficit. Fiscal stance is expansionary if spending rises or taxes fall.
Objective-instrument pairing rule
One objective → at least one instrument; one instrument → several effects
Use this to structure answers. Always name side effects and conflicts.
Budget balance
Budget balance = Government revenue − Government spending
A negative value is a deficit. A positive value is a surplus.
Fiscal deficit as a share of GDP
Deficit ratio = (Deficit ÷ GDP) × 100%
Used to compare deficits across years and countries.
Simple spending multiplier
k = 1 ÷ (1 − MPC), where MPC is the marginal propensity to consume
Holds in a simple model with no taxes or imports. With taxes and imports it is smaller: k = 1 ÷ (1 − MPC(1 − t) + m).
Change in income from a spending change
ΔY = k × ΔG
Gives the total change in national income in the simple model.
After-tax profit
After-tax profit = Pre-tax profit × (1 − corporate tax rate)
Shows the direct effect of a corporate tax change on profit.
Crowding out (rule in words)
Higher deficit → more government borrowing → higher interest rates → lower private investment
A tendency, not a certainty. It depends on spare capacity and on the central bank's response.
Expansionary monetary policy chain
Lower repo rate → lower lending rates → higher investment and consumption → higher aggregate demand
Used to fight weak growth or recession. Inflation may rise as a side effect.
Contractionary monetary policy chain
Higher repo rate → higher lending rates → lower investment and consumption → lower aggregate demand
Used to control inflation. Growth and profits in rate-sensitive sectors may fall.
CRR and lending capacity
Funds available to lend ≈ Deposits × (1 − CRR), before other constraints
A simplified view. Raising CRR reduces the cash banks can lend. SLR and other rules also limit lending.
Present value of a project
PV = Σ Cₜ ÷ (1 + r)ᵗ
A higher discount rate r lowers PV, so fewer projects have a positive NPV.
Real interest rate (approximate)
Real rate ≈ Nominal rate − Expected inflation
Firms respond to the real cost of borrowing, not only the headline rate.
Effect on AD-AS
Supply-side policy → LRAS shifts right → higher potential output and lower price level (other things equal)
Draw the LRAS curve shifting right. Say that the effect is long run.
Unit cost
Unit cost = Total cost ÷ Output
Better productivity or lower input costs reduce unit cost, which is the main route to competitiveness.
Labour productivity
Labour productivity = Output ÷ Number of workers (or hours worked)
Training, technology and infrastructure raise this. Higher productivity lowers unit labour cost if wages rise less.
Unit labour cost
Unit labour cost = Wage per worker ÷ Output per worker
Falls if productivity grows faster than wages.
Rupee price of foreign currency
Rupees = foreign amount × exchange rate (₹ per unit of foreign currency)
Use this to convert export revenue or import cost into rupees.
Direction of change
Rate (₹ per $) rises = rupee depreciates; rate falls = rupee appreciates
Check the quote direction before reasoning. Quoting $ per ₹ reverses the signs.
Percentage change in the rate
% change = (new rate − old rate) ÷ old rate × 100
Applied to ₹ per $ quotes, positive means depreciation of the rupee.
Tariff effect on domestic price
Domestic price of import = world price (in ₹) × (1 + tariff rate)
Assumes a simple percentage (ad valorem) tariff fully passed through to buyers.
Marshall-Lerner condition
Depreciation improves the trade balance if |PED exports| + |PED imports| > 1
Holds in the long run when elasticities are high enough. Short-run elasticities are usually lower, which can give a J-curve.
Inflation rate
Inflation rate (%) = (CPI this year − CPI last year) ÷ CPI last year × 100
Use the same index and base. Always divide by the earlier year's value.
Unemployment rate
Unemployment rate (%) = Unemployed ÷ Labour force × 100
Labour force = employed + unemployed. Do not divide by the total population.
Real value
Real value = Nominal value ÷ Price index × 100
Deflate nominal figures to remove price changes. Real growth ≈ nominal growth − inflation (approximation for small rates).
Real interest rate
Real interest rate ≈ Nominal interest rate − Expected inflation
Approximation. The exact form is (1 + i) ÷ (1 + π) − 1.
Expectations-augmented Phillips curve
π = πᵉ − β(u − uₙ)
π is inflation, πᵉ expected inflation, u unemployment, uₙ the natural rate, β > 0. When u is below uₙ, inflation exceeds expectations.
Phases of the cycle
Expansion → Peak → Contraction → Trough
Recession is usually taken as two or more consecutive quarters of falling real GDP.

Quick revision

  • Main objectives: stable prices, sustainable growth, low unemployment and a sound external position.
  • Fiscal policy uses government spending and taxation; monetary policy uses interest rates and money supply or credit.
  • Expansionary fiscal policy raises aggregate demand through higher spending or lower taxes, but may raise borrowing.
  • Higher interest rates raise borrowing costs, reduce investment and consumer spending, and tend to lower inflation.
  • Lower interest rates help indebted firms and demand-sensitive sectors, but can add to inflation if demand is already strong.
  • Supply-side policies aim to raise productive capacity and lower costs, and their effects usually take years.
  • A weaker domestic currency helps exporters and raises import costs; a stronger currency does the opposite.
  • Tariffs and quotas protect domestic producers but raise input and consumer prices and may invite retaliation.
  • Inflation can raise costs and uncertainty; unanticipated inflation is more damaging than anticipated inflation.
  • The business cycle moves through expansion, peak, contraction and trough, and different firms are hit at different phases.
  • Always mention time lags, trade-offs and which firms are affected, as this is what turns a description into evaluation.

Common mistakes

  • Listing instruments as objectives, such as writing that cutting interest rates is an objective. Fix: Ask: is this an end or a means? Ends are growth, price stability, jobs and external balance. Means are taxes, spending, interest rates and regulation.
  • Using nominal GDP to measure growth. Fix: Use real GDP, or deflate nominal GDP by a price index, before calculating growth.
  • Confusing the budget deficit with the public debt. Fix: Deficit is a flow in one year. Debt is the stock built up over many years.
  • Saying expansionary policy always raises profits. Fix: Add the limits: crowding out, higher future taxes, inflation and time lags. State what the outcome depends on.
  • Confusing monetary policy with fiscal policy. Fix: Monetary: central bank, interest rates and money supply. Fiscal: government, taxes and spending.
  • Saying a higher repo rate raises business investment. Fix: A higher repo rate raises borrowing costs and the discount rate, which lowers investment.
  • Treating a tax cut or interest rate cut as always supply-side. Fix: Ask whether the aim is to change incentives and capacity (supply-side) or to boost spending in the short run (demand-side). A tax cut can be either, depending on the stated aim.
  • Saying effects are immediate. Fix: State that supply-side effects take years, as skills, infrastructure and investment build up.
  • Saying depreciation always helps the economy or every exporter. Fix: Check whether the exporter uses imported inputs. Higher input costs can offset the gain, and elasticity decides the volume response.
  • Mixing up the direction of the quote. Fix: Always write the quote first. A rise in ₹ per $ is rupee depreciation.

Exam tips

  • In MCQs, sort each option into objective or instrument first. This removes wrong answers fast.
  • For written answers, use a fixed pattern: objective, instrument, transmission, side effect, business impact.
  • Always show at least one conflict between objectives. Examiners reward evaluation.
  • When given figures, calculate the rate first, compare it with the target, and then comment.
  • Name the type of problem, demand-led or supply-led, before choosing the instrument.
  • Always state the direction first, then the channel, then the limit. This structure earns marks in written answers.
  • For MCQs, watch the wording: deficit versus debt, and expansionary versus contractionary.
  • If a calculation gives tax or import rates, switch to the full multiplier formula and show it.