Macroeconomics Exam Review Slides

Instructor

2026-04-04

GDP Calculation – Key Formulas

GDP Expenditure Approach: GDP = C + I + G + (X – M)

  • C = Consumption (household spending)
  • I = Investment (new capital, construction, inventory changes)
  • G = Government purchases (not transfer payments)
  • X – M = Net exports (exports minus imports)

Nominal vs. Real GDP

  • Nominal GDP = Current year prices × Current year quantities

  • Real GDP = Base year prices × Current year quantities

  • GDP Deflator: > GDP Deflator = (Nominal GDP / Real GDP) × 100

  • Real GDP from Nominal: > Real GDP = (Nominal GDP / Price Index) × 100

GDP Growth Rate Calculation

Growth Rate Formula: > Growth Rate = [(Value₂ – Value₁) / Value₁] × 100

Example (from Question 1):

Year Real GDP Growth Rate
2019 $1,050
2020 $1,080 (1080-1050)/1050 = 2.86%
2021 $1,134 (1134-1080)/1080 = 5.0%
2022 $1,200 (1200-1134)/1134 = 5.82%

Recession definition: Two consecutive quarters of negative real GDP growth.

Economic Growth & Compound Growth

Compound Growth Formula: > Future GDP = Present GDP × (1 + g)^n

  • g = annual growth rate (as decimal)
  • n = number of years

Example (from Question 2): - Developing country: $4,000 × (1.06)^30 - Advanced country: $50,000 × (1.02)^30

Convergence Ratio: > Ratio = GDP per capita (rich) / GDP per capita (poor)

Key Insight: Small differences in growth rates compound into large differences over time.

Capital Deepening vs. Technological Progress

Key Points: - Capital deepening alone → diminishing returns (movement along same production function) - Technological progress → shifts production function upward - Combined effect → sustained growth without diminishing returns

Conceptual diagram (no figure): - Output per worker on vertical axis, capital per worker on horizontal axis - Technology 1, 2, 3 curves shift upward with innovation - Moving from point R to S to T combines capital deepening with technology improvement

Labor Market Indicators – Key Formulas

Labor Force: > Labor Force = Employed + Unemployed

Unemployment Rate: > Unemployment Rate = (Unemployed / Labor Force) × 100

Labor Force Participation Rate (LFPR): > LFPR = (Labor Force / Adult Population) × 100

Employment-to-Population Ratio: > Employment Rate = (Employed / Adult Population) × 100

Underemployment Rate (broader measure): > = (Unemployed + Underemployed + Discouraged Workers) / Labor Force × 100

Types of Unemployment

Type Cause Example
Frictional Time between jobs Recent graduate searching for first job
Structural Skills mismatch Factory worker replaced by automation
Cyclical Business cycle downturn Layoffs during recession

Natural Rate of Unemployment = Frictional + Structural (not cyclical)

Full employment = Actual unemployment = Natural rate

Sticky Wages & Cyclical Unemployment

Explanation: - Wage stuck above equilibrium (due to contracts, minimum wage, efficiency wages) - Recession shifts labor demand LEFT - Quantity supplied > Quantity demanded → cyclical unemployment - Wages don’t fall immediately → market doesn’t clear

Key result: In a recession, sticky wages prevent the labor market from reaching equilibrium, causing involuntary unemployment.

Inflation – Basket & CPI Calculation

Steps to Calculate CPI:

  1. Fix the basket (base year quantities)
  2. Find prices for each year
  3. Compute basket cost each year
  4. Choose base year (CPI = 100 for base year)
  5. Calculate CPI for other years: > CPI = (Cost of basket in current year / Cost of basket in base year) × 100

Inflation Rate: > Inflation Rate = [(CPI₂ – CPI₁) / CPI₁] × 100

Inflation, Deflation, Disinflation

Term Definition Example
Inflation Rising price level CPI increases from 100 to 105
Deflation Falling price level CPI decreases from 105 to 100
Disinflation Inflation rate is falling (prices still rise, but slower) Inflation 8% → 5% → 3%

Real Wage Calculation: > Real Wage = (Nominal Wage / Price Level) × 100

Real Wage Change: - If nominal wage ↑ 8% and inflation ↑ 10% → real wage ↓ (workers lose purchasing power)

AD/AS Model – Initial Equilibrium (Question 5)

Key features of long-run equilibrium: - LRAS vertical at potential GDP (Yp) - SRAS upward sloping - AD downward sloping - Intersection of all three curves = equilibrium at Yp

Important relationships: - LRAS shifts only with changes in potential GDP (technology, capital, labor) - SRAS shifts with input prices, productivity, supply shocks - AD shifts with changes in C, I, G, or net exports

AD/AS Shocks – Oil Price Increase

Oil Price Shock (Negative Supply Shock):

  • SRAS shifts LEFT
  • LRAS unchanged (potential GDP same)
  • Higher production costs → lower output at every price level

Effects: - Price level ↑ (inflationary pressure) - Real GDP ↓ (recessionary pressure) - Stagflation = stagnant growth + inflation

AD/AS Shocks – Productivity Increase (AI)

Positive Supply Shock (Technology):

  • SRAS shifts RIGHT
  • LRAS shifts RIGHT (potential GDP increases)
  • Firms can produce more at every price level

Effects: - Price level ↓ (disinflationary) - Real GDP ↑ (growth)

Combined Shocks – Final Equilibrium

Two simultaneous events: 1. Oil prices ↑ (SRAS ← left) 2. AI productivity ↑ (SRAS → right, LRAS → right)

Possible outcomes:

If dominates SRAS shift Price Level Real GDP
Oil shock Left ↑↑
Productivity shock Right ↑↑
Mixed (equal) Small net shift ? ?

Stagflation outcome: If output < potential GDP but prices ↑ → oil price shock dominated productivity gain.

Exam Tips – GDP & Growth

Common mistakes to avoid: - Don’t use current year quantities for real GDP (use base year quantities) - Don’t forget to convert percentage to decimal in compound growth (6% = 0.06) - Don’t confuse GDP deflator with CPI (GDP deflator includes all domestically produced goods)

Quick checks: - Real GDP growth ≈ Nominal GDP growth – Inflation rate - After base year: Real GDP < Nominal GDP (if inflation positive) - Before base year: Real GDP > Nominal GDP

Exam Tips – Labor & Inflation

Labor Market: - LFPR decreases if population grows faster than labor force - Discouraged workers are NOT counted as unemployed (out of labor force) - Underemployment rate > unemployment rate

Inflation: - Base year CPI always = 100 - Inflation rate can be positive even if prices are rising slowly (disinflation) - Deflation is rare and dangerous (Japan 1990s)

AD/AS: - Only supply shocks (oil, productivity) shift SRAS - Demand shocks (confidence, fiscal policy) shift AD - LRAS shifts only with changes in potential GDP

Practice Problems (Quick Review)

1. GDP: If C=500, I=200, G=300, X=150, M=180 → GDP = ?

2. Growth: $10,000 at 5% for 20 years = ?

3. Unemployment: Labor force 160M, unemployed 8M → Unemployment rate = ?

4. Inflation: CPI 110 → 121 → Inflation rate = ?

5. AD/AS: Increase in government spending shifts which curve? Which direction?

Answers: 1. 500+200+300+(150-180) = 970 2. $10,000 × (1.05)^20 = $26,533 3. (8/160)×100 = 5% 4. (121-110)/110 × 100 = 10% 5. AD shifts RIGHT