Skip to content

๐Ÿ“ Macro Formula Sheet

All key formulas for ECON1002 / ECOS2002 โ€” print-friendly revision reference


National Accounts

Formula Description
GDP = C + I + G + NX Expenditure approach
NX = X โˆ’ M Net exports
Real GDP = Nominal GDP / Price level ร— 100 Removing inflation
GDP growth = (GDPโ‚ โˆ’ GDPโ‚€) / GDPโ‚€ ร— 100 Annual growth rate
GNI = GDP + Net factor income from abroad Gross National Income
NNI = GNI โˆ’ Depreciation Net National Income

Inflation & Price Level

Formula Description
CPI = (Cost of basket / Base year cost) ร— 100 Price level index
Inflation rate = (CPIโ‚ โˆ’ CPIโ‚€) / CPIโ‚€ ร— 100 % change in CPI
Real interest rate = Nominal rate โˆ’ Inflation Fisher equation (approx.)
%ฮ”M + %ฮ”V = %ฮ”P + %ฮ”Y Quantity theory (growth form)
If V, Y constant: %ฮ”M = %ฮ”P Money โ†’ Inflation (long run)

Unemployment

Formula Description
Unemployment rate = Unemployed / Labour force ร— 100 Standard definition
Labour force = Employed + Unemployed (Not including "not in labour force")
Participation rate = Labour force / Working-age population ร— 100
Okun's Law: %ฮ”GDP โ‰ˆ โˆ’2 ร— ฮ”unemployment rate Output-unemployment link
Output gap = (Y โˆ’ Y*) / Y* ร— 100 % deviation from potential

Keynesian Cross / Multiplier

Formula Description
C = Cฬ„ + c(Y โˆ’ T) Consumption function
PAE = C + Iโ‚š + G + NX Planned aggregate expenditure
Y* = A / (1 โˆ’ c + m) Equilibrium income (open economy)
Multiplier k = 1 / (1 โˆ’ c + m) Spending multiplier
k_G = 1 / (1 โˆ’ c + m) Government spending multiplier
k_T = โˆ’c / (1 โˆ’ c + m) Tax multiplier (negative)
Balanced budget multiplier = 1 ฮ”G = ฮ”T โ†’ ฮ”Y = ฮ”G

Typical USYD values: c = 0.8, m = 0.1 โ†’ k = 1 / 0.3 = 3.33


Money & Banking

Formula Description
Money multiplier = 1 / rr rr = reserve ratio
ฮ”M = (1/rr) ร— ฮ”Reserves Deposit expansion
MV = PY Equation of exchange

IS-LM Model

Formula Description
IS curve: i = a โˆ’ bร—Y Downward sloping (goods market)
LM curve: i = cร—Y โˆ’ d Upward sloping (money market)
Policy reaction (Taylor Rule): i = r* + ฯ€ + 0.5(ฯ€ โˆ’ ฯ€_T) + 0.5 ร— output gap RBA reaction function

Phillips Curve

Formula Description
ฯ€ = ฯ€_e โˆ’ ฮฑ(u โˆ’ u_n) Expectations-augmented PC
NAIRU (u_n) โ‰ˆ 4.0โ€“4.25% (Australia post-COVID) Non-accelerating inflation rate
Sacrifice ratio = % output lost per 1pp fall in inflation Cost of disinflation

Solow Growth Model

Formula Description
y = k^ฮฑ Per-worker production function
Steady state: sร—f(k) = (ฮด + n + g)k Saving = break-even investment
k* = (s / (ฮด+n+g))^(1/(1โˆ’ฮฑ)) Steady-state capital per worker
Golden rule: s_GR = ฮฑ Capital-share saving rate
Australia: sโ‰ˆ0.25, ฮฑโ‰ˆ0.35, ฮด+n+gโ‰ˆ0.08 โ†’ k*โ‰ˆ5.77 Calibration

Open Economy / Balance of Payments

Formula Description
CA + KFA = 0 (approximately) BOP identity
(S โˆ’ I) + (T โˆ’ G) + (M โˆ’ X) = 0 Sectoral balances identity
Real exchange rate = e ร— (P* / P) Competitiveness measure
Purchasing Power Parity: e = P / P* Long-run exchange rate

Key Australian Data Points

Fact Value
RBA inflation target 2โ€“3% per annum
Current cash rate (Mar 2026) 4.10%
Peak cash rate (Nov 2023) 4.35%
COVID low cash rate (Nov 2020) 0.10%
Australia NAIRU ~4.0โ€“4.25%
Unemployment trough (Jan 2023) 3.5%
CPI peak (Q4 2022) 7.8%
AUD floated December 1983
JobKeeper cost $89bn

See also: ๐Ÿ“ Quizzes ยท ๐Ÿƒ Flashcards ยท ๐Ÿ“Š Key Diagrams