Macro-Economics I — Intermediate Macro

High-Yield Topics — What the Exams Actually Test

Frequency analysis of all five available past papers — which topics come up in how many exams, in what form (derivation, calculation, discussion), which past-paper questions test them, and which problem sets and lectures train them. Use this to prioritise revision ruthlessly.

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How this list was built

Every question in the five available papers — Sample Exam 2026 (20 MCQs), Moed A 2023-24, Moed B 2023-24, Moed A 2025 and Moed B 2025 (each 6 short + 2 long questions, plus a Miluim question in 2025) — was tagged by topic and counted. The counts below are honest: a topic listed at "5/5" genuinely appears in all five papers. The two long questions (32 points each on the Moed papers, ~64% of the grade) are flagged separately, because that's where the exam is won or lost.

The scoreboard

Topic Papers Long Q? Typical format
Two-period consumption & Euler equation 5/5 Yes — a long Q in all four Moed papers Full derivation (Lagrangian → Euler → solve → comparative statics)
Production function & TFP accounting 5/5 Yes (inside Moed A 2024 Q7 and Moed A 2025 Q8) Calculation (back out AA, α\alpha, wage) + discussion twists
Investment & user cost of capital 5/5 Yes (inside both 2025 long Qs) Calculation — solve the one unknown in MPKf=MPK^f = user cost
Labor supply & taxes (static FOC) 4/5 Yes — the second long Q in both Moed B papers Derivation of N(w)N(w) + income-vs-substitution discussion
Public debt dynamics 4/5 No — but a guaranteed short Q Calculation (forecast Δb\Delta b) or qualitative sign-reading
Goods-market equilibrium (S/I shifts) 4/5 Yes (as final parts of long Qs) Discussion — shift curves, sign rr, SS, II
Unemployment flows & steady state 4/5 No Calculation (uu, ff, dd, uss=dd+fu^{ss} = \frac{d}{d+f})
Inflation measurement (CPI vs deflator) 3/5 No Calculation from a 3-good table
Inequality, polarization & SBTC 2/5 + Miluim No Pure discussion (stylized facts)
Task-based production / robots 2/5 No Short calculation or MCQ (sign of ∂MPR/∂N\partial MPR/\partial N)
GDP vs GNP vs NFP 2/5 No Discussion (sign each aggregate)
PPP GDP comparisons 2/5 No Calculation (convert, then growth rates)
Liquidity constraints & the MPC 2/5 No Discussion (stylized facts)
Business cycles (trend vs cyclical) 1/5 (Miluim only) No Discussion
The big four

Two-period consumption, production/TFP, investment/user cost, and labor supply with taxes account for both long questions on every Moed paper — roughly 64 of 100 points each sitting. If time is short, drill these four until you can re-derive them from a blank page. Everything else is short-question material worth 6 points a pop.


Tier 1 — appears in every paper

Two-period consumption & the Euler equation — 5/5 papers

The single most-tested topic. Every Moed paper's first long question (32 pts) is a two-period (or three-period) consumption derivation, always the same recipe: write the problem → Lagrangian → FOCs → Euler equation → substitute into the lifetime budget → solve for c0c_0 → comparative statics.

u′(ct)=β(1+r) u′(ct+1)u'(c_t) = \beta(1+r)\,u'(c_{t+1})
Where it's tested The twist
Moed A 2024 Q8 (long) Consumption tax τ0,τ1\tau_0, \tau_1 in the budget; log utility makes expenditure (1+τ0)c0\left(1+\tau_0\right)c_0 invariant to τ0\tau_0
Moed B 2024 Q7 (long) CRRA utility; can a lower β\beta cause a recession? (No — CC moves the wrong way)
Moed A 2025 Q7 (long) Mandatory retirement saving; optimal τ=β1+β\tau = \frac{\beta}{1+\beta}; heterogeneous β\beta
Moed B 2025 Q7 (long) Three periods, cake-eating (assets only, no income); higher rr leaves c0c_0 unchanged under log
Moed B 2025 Q4 (short) Read σ\sigma (slope) and β\beta (where growth =1=1) off a consumption-growth vs rr figure
Sample Exam 2026 Q11, Q18 MCQ versions: role of β\beta under CRRA; rr-rise with log utility and only assets
  • Trained by: PS2 (both questions — mini life-cycle model, log-utility plan) — plus the goods-market follow-ups in PS4.
  • Lecture: Lec_02-Consumption and Saving.
  • Know cold: the log-utility signature (c0c_0 = fixed fraction of lifetime wealth, income and substitution effects on c0c_0 cancel exactly) and the CRRA generalisation ct+1ct=[β(1+r)]1/σ\frac{c_{t+1}}{c_t} = \left[\beta(1+r)\right]^{1/\sigma}.

Production function & TFP accounting — 5/5 papers

Shows up at least once in every paper, usually twice. Two moves cover almost every variant: (1) invert Cobb-Douglas to read TFP off as the residual, A=Y/(KαN1−α)A = Y / \left(K^{\alpha}N^{1-\alpha}\right); (2) recover a missing α\alpha from a factor share (α=RKY\alpha = \frac{RK}{Y} or 1−α=wNY1-\alpha = \frac{wN}{Y}).

Where it's tested The twist
Moed A 2024 Q7 (long) UK data: build total hours, back out TFP for three years, then feed it into the labor-market and investment models
Moed A 2024 Q4 (short) Additive production function AKα+N1−αAK^{\alpha} + N^{1-\alpha} — AA drops out of MPNMPN, so no labor-demand effect
Moed B 2024 Q3 (short) α\alpha is missing — recover it from the capital income share RKY\frac{RK}{Y}
Moed A 2025 Q1 (short) TFP vs capital in a two-country ratio: 8×8\times capital only buys 81/3=2×8^{1/3} = 2\times output
Moed A 2025 Q8 (long, parts 1–2) Compute TFP both periods; sign the change without computing (output outgrew both inputs)
Moed B 2025 Q3 (short) Get α\alpha from the labor share, then TFP level, growth (=0=0 under proportional scaling by CRS) and the wage
Sample Exam 2026 Q1, Q19 MCQ versions: growth-accounting comparison; deflator/labor-share claims
  • Trained by: PS3 (all four questions — Cobb-Douglas proofs, labor shares, implied TFP, growth accounting).
  • Lecture: Lec_04-Production.
  • Know cold: MPK=αYKMPK = \alpha\frac{Y}{K}, MPN=(1−α)YNMPN = (1-\alpha)\frac{Y}{N}, and always differentiate the function actually given — the additive-form trap in Moed A 2024 Q4 punishes Cobb-Douglas autopilot.

Investment & the user cost of capital — 5/5 papers

Every paper has a question that reduces to "future MPK = user cost, solve for the one unknown". The examiners rotate which variable is missing: the tax rate, the depreciation rate, future TFP, or the direction of a price effect.

MPKf=(1+r)pk−(1−δ)pkf1−τK,Kt+1=(1−δ)Kt+ItMPK^{f} = \frac{(1+r)p_k - (1-\delta)p_k^{f}}{1-\tau_K}, \qquad K_{t+1} = (1-\delta)K_t + I_t
Where it's tested The unknown
Moed A 2024 Q3 (short) Signs: pK↑⇒I↓p_K\uparrow \Rightarrow I\downarrow; pKf↑⇒I↑p_K^f\uparrow \Rightarrow I\uparrow (label the two lines)
Moed B 2024 Q4 (short) τK\tau_K that keeps capital constant (then I=δKI = \delta K)
Moed A 2025 Q8 (long, part 3) δ\delta, then investment from capital accumulation
Moed B 2025 Q1 (short) Future TFP AfA^f — build KfK^f from KK and II first
Sample Exam 2026 Q7, Q14, Q20 MCQ versions: backing out δ\delta and II; TFP shock on investment vs labor demand; capital-tax rise
  • Trained by: PS4 Q1 (workforce size and optimal investment) and Q3 (taxes and their use); also PS6.
  • Lecture: Lec_05-Investment.

Tier 2 — a near-guaranteed question

Labor supply & taxes (the static FOC) — 4/5 papers

Missing only from Moed A 2024. The second long question on both Moed B papers is a labor-supply derivation, and the sample exam has two MCQs on it. One condition does everything:

−UN=1−τN1+τC w UC-U_N = \frac{1-\tau_N}{1+\tau_C}\,w\,U_C

Recipe: plug in the given UU, substitute the budget constraint, solve for N(w)N(w) — then discuss income vs substitution effects.

Where it's tested The twist
Moed B 2024 Q8 (long) Laffer curve: revenue τN(1−τN)1/ψw1+1/ψ\tau_N(1-\tau_N)^{1/\psi}w^{1+1/\psi}; wage adjustment; revenue recycled into TFP raises the peak rate
Moed A 2025 Q3 (short) With ln⁡(C)\ln(C) utility and C=(1−τN)wNC = (1-\tau_N)wN, the tax cancels out of labor supply
Moed B 2025 Q8 (long) Perfectly inelastic supply N=(1/θ)1/(1+ψ)N = (1/\theta)^{1/(1+\psi)}; TFP vs θ\theta shocks and the investment follow-on
Sample Exam 2026 Q3, Q15 MCQ versions: log-power utility; slope of the supply curve under CRRA
  • Trained by: PS5 Q1–Q3 and PS6 Q1–Q2, Q4–Q5 (the whole set is built on this FOC).
  • Lectures: Lec_07-Labor Market, Lec_10-Fiscal Policy.
  • Know cold: with log consumption utility, income and substitution effects cancel exactly — that one fact answers three of the six questions above.

Public debt dynamics — 4/5 papers

Missing only from Moed A 2025. Always a short question, in one of two flavours: qualitative (map a shock onto the signs of dd, gg, rr) or numerical forecast — where rr and gg are never handed to you directly.

Δbt=dt+r−g1+g bt−1\Delta b_t = d_t + \frac{r-g}{1+g}\,b_{t-1}
Where it's tested The twist
Moed A 2024 Q1 Qualitative: war raises dd, lowers gg, raises rr — all push bb up
Moed B 2024 Q2 Get rr from Fisher (r=i−πer = i - \pi^e), gg from 20-year compound growth, then plug in
Moed B 2025 Q2 Same trick plus forecast GDP and the debt stock (ratio × GDP)
Sample Exam 2026 Q12 MCQ version of the forecast
  • Trained by: PS6 Q3 (simple public debt dynamics).
  • Lecture: Lec_10-Fiscal Policy.
  • Know cold: the compound-growth back-out g=(YTY0)1/T−1g = \left(\frac{Y_T}{Y_0}\right)^{1/T} - 1 — it appears every time.

Goods-market equilibrium (S and I curves) — 4/5 papers

Rarely a standalone question, but it's the closing act of most long questions and gets two dedicated shorts. The drill: shift each curve separately, then read off which of rr, SS, II is pinned down and which is ambiguous.

Where it's tested The configuration
Moed B 2024 Q5 Pessimism about future TFP: SS right, II left → rr falls for sure, quantities ambiguous; YY fixed forces CC and II opposite
Moed B 2025 Q6 Optimistic firms + pessimistic consumers: both curves right → quantities rise, rr ambiguous
Moed A 2024 Q8 (part 5) Consumption-tax revenue spent now vs later: timing decides whether SS shifts
Moed B 2024 Q7 (part 5) Lower β\beta: SS left, II fixed → rr up, II down
Sample Exam 2026 Q16, Q20 MCQ versions
  • Trained by: PS4 Q2–Q3, PS6 Q1.
  • Lecture: Lec_06-Equilibrium in the Goods Market.
  • Know cold: the meta-rule — curves shifting in opposite directions pin the price (rr) and leave quantities ambiguous; shifting the same way pin the quantity and leave rr ambiguous.

Unemployment flows & steady state — 4/5 papers

Missing only from Moed B 2024. Pure plug-in territory once you dodge the classic denominator traps.

u=UU+E,uss=dd+f,Et+1=(1−d)Et+fUtu = \frac{U}{U+E}, \qquad u^{ss} = \frac{d}{d+f}, \qquad E_{t+1} = (1-d)E_t + fU_t
Where it's tested The trap
Moed A 2024 Q2 "Is this a steady state?" — check whether Et+1=EtE_{t+1} = E_t, don't just quote ussu^{ss}
Moed A 2025 Q5 "Not employed" ≠ unemployed — back out the labor force from the participation rate first
Moed B 2025 Q5 ff divides by last month's unemployed, dd by last month's employed
Sample Exam 2026 Q5 MCQ version with participation data

Tier 3 — shorter odds, cheap points

Inflation measurement: CPI vs deflator — 3/5 papers

A three-good table (one good never consumed), compute both measures, explain the gap. Moed A 2024 Q6 (robots drag the deflator negative while the CPI rises), Moed A 2025 Q6 (PCE deflator vs CPI: changing vs fixed basket), Sample Exam 2026 Q6. Rules: strip non-consumption goods out of the CPI (but not the GDP deflator); deflator = changing quantities, CPI = frozen basket. Trained by PS1 Q2, Q3 and Q7; lecture Lec_01-Data Review.

Inequality, polarization & SBTC — 2/5 papers + Miluim

Pure "discussed in class" material, zero algebra: Moed A 2024 Q5 (90/10, 90/50, 50/10 ratios; polarization = rising 90/50 with falling 50/10) and the Moed B 2025 Miluim question (SBTC is monotone, so it explains the college premium but not U-shaped polarization). Trained by PS5; lecture Lec_09-Inequality & Polarization.

Task-based production & robots — 2/5 papers

Moed A 2025 Q2 (immigration lowers robot demand — [R+N][R+N] makes them substitutes) and Sample Exam 2026 Q2 and Q17 (productivity vs displacement effects). The move: check the sign of the cross-partial. Trained by PS5 Q5; lecture Lec_09-Inequality & Polarization.

GDP vs GNP vs NFP — 2/5 papers

Moed A 2025 Q4 (Ukrainian emigration: GDP falls, GNP flat, NFP rises) and Sample Exam 2026 Q4. Anchor: GNP=GDP+NFPGNP = GDP + NFP — GDP is where production happens, GNP is who earns. Trained by PS1; lecture Lec_01-Data Review.

PPP comparisons — 2/5 papers

Moed B 2024 Q6 (PPP GDP per capita growth and catch-up) and Sample Exam 2026 Q10. Formula: GDPPPP=GDPlocalPlocal×PUSGDP^{PPP} = \frac{GDP^{local}}{P^{local}} \times P^{US}, then per-capita, then growth. Trained by PS1 Q5; lecture Lec_01-Data Review.

Liquidity constraints & the MPC — 2/5 papers

Moed B 2024 Q1 and Sample Exam 2026 Q9: constraints fall with income; constrained households have the highest MPC; the top-quintile exception is the "wealthy hand-to-mouth". Lecture Lec_02-Consumption and Saving.

Efficient factor allocation across firms — 1/5 papers

Sample Exam 2026 Q8 only, so far: allocate a fixed factor across firms by equalising marginal products. Trained by PS7 (both questions — optimal allocation of capital, and two factors under constant returns); lecture Lec_04-Production. New material since the last problem set, so treat it as live for 2026 despite the thin past-paper record.

Business cycles: trend vs cyclical — 1/5 (Miluim only)

Moed A 2025 Miluim: trend = expected path, cyclical = deviations; non-durables/services consumption is smoother than income, evidencing consumption smoothing. Low priority unless Miluim-eligible.


Reading the format

The four Moed papers are open-notes (formula sheet attached — see the Macro Equation Sheet) with 6 shorts (6 pts) + 2 longs (32 pts). The Sample Exam 2026 is the 20-question MCQ dress rehearsal for the 2026 format — same toolkit, but distractors punish sign errors and dropped denominators rather than rewarding partial derivations. Revise for the long-question derivations first; MCQ speed comes free once the derivations are automatic.

Next step: turn these frequencies into a schedule — see the Macro Revision Plan.