Economic Fluctuations, Unemployment & Inflation

Definition
- Increase in either real GDP or real GDP per-capita.
- Real GDP per-capita obtained via $\frac{\text{Real\ GDP}}{\text{Population}}$ .
Importance
- Minimizes scarcity & maximizes employment.
- Small differences in growth rates compound into large living-standard gaps over time.
- Roughly two-thirds of U.S. growth stems from productivity gains rather than increased inputs.
Rule of 70
- Doubling time (yrs) $\approx \frac{70}{\text{annual\ \%\ growth}}$ .
- Example: 3 % growth ⇒ $\frac{70}{3}\,\text{yrs}\approx23$ years for real GDP to double.

Concept
- Recurring upswings & downswings in real GDP.
- Driven immediately by total (aggregate) spending.
Primary Phases
- Peak → Recession → Trough → Recovery/Expansion.
- Recession = real GDP decline; Trough = minimum output.
Sectoral Sensitivity
- Producer durables (machinery, equipment) most affected in volume.
- Agricultural commodities most affected in prices.
- Construction output falls sharply in serious recessions.
Coincident / leading indicators
- Durable-goods orders, unemployment claims, etc. help predict turning points (see referenced YouTube clips).

Labor-force Status
- Labor force = employed + officially unemployed.
- Criteria for being unemployed: must be in labor force & actively seeking work.
- Exclusions: under-16, institutionalized persons, discouraged workers.
Formulas
- Unemployment rate $=\frac{\text{Unemployed}}{\text{Labor\ force}}\times100$ .
- Labor-force participation rate $=\frac{\text{Labor\ force}}{\text{Population}}\times100$ .
Official Data Caveats
- Part-time workers counted as fully employed.
- Discouraged workers & underground economy understate unemployment.
- False reporting distorts survey accuracy.

Frictional
- Voluntary, short-term job search or transitions (e.g., Heather quitting to earn BBA; recent college grad job hunt).
Structural
- Skill/location mismatch (e.g., textile worker displaced by imports retrains for IT).
Cyclical (deficient-demand)
- Arises from recessionary fall in aggregate spending.

Unemployment varies by occupation, age, race/ethnicity, gender, education, and duration → social & noneconomic costs.

GDP gap $=Y<em>{p}-Y</em>{a}$ (potential minus actual GDP).
Okun’s coefficient
- Each 1 percentage-point that actual unemployment exceeds NRU → ≈ 2 percentage-points negative GDP gap.
- Algebraic form $\text{GDP\ gap\%}=2\times(u-\bar{u})$ , where $u$ = actual rate, $\bar{u}$ = NRU.
Illustrative Calculations
- NRU 5 %, actual 12 %, $Y_{p}=15\text{T}$ ⇒ $\text{gap\%}=2\times(0.12-0.05)=14\%$ ⇒ $0.14\times15=2.1\text{T}$ output lost.
- NRU 5 %, actual 12 %, $Y_{p}=19\text{T}$ ⇒ $\text{gap}=2.66\text{T}$ .
- NRU 5.5 %, actual 4.9 %, $Y_{p}=19\text{T}$ ⇒ positive (inflationary) gap $\approx0.0228\text{T}$ .
Implication: Large GDP gap means high unemployment and foregone output.

Hypothetical economy (millions):
- Not in LF = 52, Unemployed = 12, Employed = 108, Population = 209.
- Labor force $=108+12=120$ .
- Unemployment rate $=\frac{12}{120}\times100=10\%$ .
- Participation rate $=\frac{120}{209}\times100\approx57.4\%$ .
City of Hummerville (millions):
- Full-time 65, Part-time 15, Unemployed 10 ⇒ LF = 90.
- Population 180 ⇒ LFPR $=\frac{90}{180}\times100=50\%$ .
- Unemployment rate $=\frac{10}{90}\times100\approx11.1\%$ .

Cost of Living Index (COLI)
- Compares cost of maintaining identical living standard between base & current year.
Cost of Goods Index (COGI)
- Tracks cost of a fixed basket of goods/services across periods.
Consumer Price Index (CPI)
- Computes price changes for a basket of private goods & services.
- Limitations: excludes public goods, quality of environment, security, health, crime, climate, etc.
- Example: CPI rises 120 → 131 ⇒ inflation $=\frac{131-120}{120}\times100\approx9\%$ .

Anticipated Inflation
- Fully foreseen rise leads to higher nominal interest rates (Fisher effect) as lenders build in expected inflation.
Unanticipated Inflation
- Hurts fixed-income lenders, savers; benefits borrowers (real debt burden falls).
- Reduces real returns, discourages investment, complicates long-term contracts.

Defined by Arthur Okun: $\text{Misery}=u+\pi$ (unemployment + inflation).
- Example 2017: $4.4+1.94=6.34$ .
- Example Jun 2018: $3.8+2.8=6.6$ .
- Rising index signifies deteriorating economic welfare.

Persistent unemployment imposes social costs: skill loss, psychological stress, crime, inequality.
Inflation & unemployment trade-offs challenge policymakers; balance price stability vs. job creation.
Measurement issues (discouraged workers, quality changes) affect policy perception & credibility.
Business-cycle stabilization (fiscal & monetary policy) targets spending to smooth recessions, protect vulnerable sectors (durables, construction).

Master formulas: unemployment rate, LFPR, Rule of 70, Okun’s law, CPI inflation.
Recognize types of unemployment & policy cures (training, relocation, demand management).
Link cyclical phases to sector responses & indicator signals.
Evaluate data critically: understand limitations & hidden labor-market slack.
Use misery index for quick welfare gauge, but supplement with broader well-being metrics.
Preparation & continuous review are key: “I am what I am because I prepare.”