Core Macroeconomic Principles: Business Cycles to Saving

Chapter 1: Economic Fundamentals

Chapter 1

Business cycle: expansion & contractions of economy.

Aggregation: adding individual markets into economy-wide totals.

Positive $\rightarrow$ descriptive/factual (“is”).

Normative $\rightarrow$ value judgment (“should”).

Key Activities:

  • Forecasting $\rightarrow$ predict future values.
  • Analysis $\rightarrow$ interpret current events.
  • Data development $\rightarrow$ improve measurement systems.
  • Research $\rightarrow$ theory + empirical testing.

Comparative statics $\rightarrow$ Start in equilibrium $\rightarrow$ apply a shock $\rightarrow$ compare old vs new equilibrium.

Chapter 2: Measuring Economic Output (GDP)

Chapter 2

The Expenditure Identity:

$$Y = C + I + G + NX$$

  • $Y$ = GDP/output/income
  • $C$ = consumption
  • $I$ = Investment (incl. inventory)
  • $G$ = government purchases (no transfers)
  • $NX$ = exports – imports

Counted in GDP:

  • Final goods
  • New goods
  • Inventory increases
  • Government services
  • Exports

Not in GDP:

  • Used goods
  • Household production
  • Transfers
  • Financial transactions
  • Imports

Value Added = Value of output – Value of intermediate inputs.

Gross National Product (GNP) = GDP + NFP (Net Factor Payments).

NFP $\rightarrow$ income earned abroad by residents – income paid to foreigners.

Nominal GDP $\rightarrow$ current prices $\times$ current quantities.

Real GDP $\rightarrow$ base prices $\times$ current quantities.

GDP Deflator = Nominal GDP / Real GDP

  • Measures price level of domestically produced goods.
  • Variable-weight index.

Fixed Basket Inflation (CPI)

Inflation $\pi = (\text{Cost}_{\text{new}} – \text{Cost}_{\text{base}})/\text{Cost}_{\text{base}}$

Chapter 3: Production and Labor Markets

Chapter 3

Production Function

$$Y = AF(K,N)$$

  • A $\uparrow \rightarrow$ productivity $\uparrow \rightarrow Y \uparrow$.
  • If Y $\uparrow$ with $K, N$ fixed $\rightarrow A \uparrow$.

Marginal Product of Labor (MPN) $\rightarrow$ extra output from 1 more worker.

Marginal Product of Capital (MPK) $\rightarrow$ extra output from 1 more unit of capital.

Labor Demand

Real Wage ($w$) = MPN.

  • Labor demand = MPN curve.
  • Depends on: Productivity ($A$), Capital ($K$), technology.

Labor Supply

  • Depends on: Population, Preferences, Wealth, Expected future wages.

Labor Market Equilibrium

$N^D = N^S$

Determines:

  • Equilibrium real wage $w^*$.
  • Equilibrium employment $N^*$.

Labor Market Shocks Analysis

Shock$N^D$$N^S$$w$$N$
$\\uparrow$ Productivity ($A$)$\rightarrow$$-$$\uparrow$$\uparrow$
$\\uparrow$ Capital per worker$\rightarrow$$-$$\uparrow$$\uparrow$
$\downarrow$ Capital per worker$\leftarrow$$-$$\downarrow$$\downarrow$
$\\uparrow$ Population$-$$\rightarrow$$\downarrow$$\uparrow$
$\\uparrow$ Wealth / stock prices$-$$\leftarrow$$\uparrow$$\downarrow$
Negative supply shock$\leftarrow$$-$$\downarrow$$\downarrow$
Both $N^D$ & $N^S \leftarrow$$\leftarrow$$\leftarrow$?$\downarrow$

Hiring Rule (Firm)

Marginal Revenue Product of Labor (MRPN) = $P \times MPN$.

Hire until $\rightarrow$ MRPN $\ge w$. Stop when $\rightarrow$ MRPN $< w$.

Unemployment Types

  • Frictional $\rightarrow$ job search.
  • Structural $\rightarrow$ skills mismatch/tech change.
  • Cyclical $\rightarrow$ recession.
  • Seasonal $\rightarrow$ time of year.

At full employment:

  • Cyclical unemployment = 0.
  • Frictional + structural still exist.

Labor Market Rates

  • Unemployment rate $\rightarrow u = \text{Unemployed} / \text{Labour Force}$.
  • Participation rate $\rightarrow \text{LFRP} = \text{Labour Force} / \text{Working Age Population}$.
  • Employment ratio $\rightarrow \text{Employed} / \text{Working Age Population}$.

Chapter 4: Saving, Investment, and Interest Rates

Chapter 4

Private Saving ($S^{pvt}$) $\rightarrow (Y + NFP – T + TR + INT) – C$.

Government Saving ($S^{gov}$) $\rightarrow (T – TR – INT) – G$.

  • $S^{gov} > 0 \rightarrow$ surplus.
  • $S^{gov} < 0 \rightarrow$ deficit.

National Saving ($S$) $\rightarrow Y + NFP – C – G$ or $S = S^{pvt} + S^{gov}$.

Open Economy

$S = I + CA$ (Current Account)

  • $CA > 0 \rightarrow$ net lender.
  • $CA < 0 \rightarrow$ net borrower.

Uses of Private Saving

$S^{pvt} = I + (-S^{gov}) + CA$.

Private saving finances:

  1. Investment.
  2. Government deficit.
  3. Lending abroad.

Interest Rates

  • Nominal interest rate: $i$.
  • Inflation rate: $\pi$.

Real Interest Rate $r = i – \pi$.

Expected Real Interest Rate $r^e = i – \pi^e$.

After-tax Expected Real rate $r_{a-t} = (1 – t)i – \pi^e$.

Saving and Investment Shocks

Shock$S$$I$$r$
$\\uparrow$ Gov deficit$\leftarrow$$-$$\uparrow$
$\\uparrow$ Productivity$-$$\rightarrow$$\uparrow$
$\\uparrow$ Expected future income$\leftarrow$$-$$\uparrow$
$\\uparrow$ Taxes$\rightarrow$$-$$\downarrow$

Consumption Intuition

  • Temporary income $\uparrow \rightarrow$ mostly saved.
  • Permanent income $\uparrow \rightarrow$ mostly consumed.
  • Interest rate $\uparrow$ (saver):
    • Substitution effect $\rightarrow$ consume less now.
    • Income effect $\rightarrow$ consume more.
    • Net effect depends (often substitution dominates).

Key Concept Reminders

If question mentions…Think about…
“inventory change”Investment ($I$)
“used goods”NOT GDP
“foreign-owned factory in Canada”GDP yes, GNP maybe no
“technology / AI”Productivity $\uparrow \rightarrow N^D \rightarrow$
“population growth”$N^S \rightarrow$
“minimum wage above equilibrium”binding $\rightarrow$ unemployment
“expected future income $\uparrow$”saving $\downarrow$
“government deficit $\uparrow$”saving $\downarrow \rightarrow r \uparrow$