Fiscal Policy
G enters PAE one-for-one; T enters multiplied by c. So dollar for dollar, spending beats tax cuts. And to offset a shock you match the shift in PAE, not the output gap.
Definitions — easy to invert
- Fiscal policy
- Tax rates, transfers and government purchases.
- Budget surplus
- T − G.
- Contractionary
- Increases the surplus, which lowers PAE.
- Expansionary
- Decreases the surplus, which raises PAE.
- Countercyclical
- Against the business cycle — expansionary in a recession.
- Deficit vs debt
- The deficit is the annual excess of spending over taxes; the debt is the accumulation of past deficits.
The composition point that gets tested
$100bn more G ⟹ PAE rises $100bn
$100bn of tax cuts ⟹ PAE rises only c × $100bnHouseholds save part of a tax cut. Dollar for dollar spending is the stronger stimulus — though tax cuts may act faster.
Three design questions for any stimulus, from the 2009 Recovery Act:
| Question | Why it is hard |
|---|---|
| How big? | Needs an estimate of how far PAE shifted — not observable in real time |
| What composition? | Instruments differ in both multiplier and speed |
| How long? | Needs a forecast of how long PAE stays depressed; over a year means the stimulus must last over a year |
2008, the worked case
The housing bubble had pushed IP and C above normal and left households heavily indebted. When house prices collapsed:
- Investment fell
- Housing is capital; the bust cut its expected future MRPK, lowering present value and so investment (Unit 14). The crisis then damaged animal spirits and made credit hard to get.
- Consumption fell
- Housing and stock declines destroyed wealth; confidence fell and household credit was restricted.
Both push PAE down, so Y falls by a multiplied amount.
Why the debt matters
- Interest rates
- More debt probably raises them, crowding out private investment.
- Crisis risk
- Debt rising too fast as a share of GDP can trigger a debt crisis if investors lose confidence quickly.
- Future generations
- Debt can be serviced rather than repaid, but servicing means they pay more to carry it.
Federal debt held by the public is historically high as a share of GDP, and the CBO projects the July 2025 reconciliation bill adds about 9.5 percentage points by 2034 — roughly 118% to 127.5% of GDP in 2035. The constraints are real: savers must be willing to buy the debt; state and local balanced budget requirements force service and school cuts in downturns; debt ceilings and budget fights bite, and the 2025 shutdown was the longest on record, ended by a continuing resolution on 12 November 2025. Edwards: debt should not cause paralysis, but in good times run surpluses and keep your powder dry.
Rules that earn points
- Identify which component the policy hits. G is direct; T works through c.
- Compute the change in autonomous spending first, then multiply by 1/(1 − c).
- To fully offset a shock, match the shift in PAE, not the change in Y.
- Add the caveat about timing and magnitude — it is a real source of credit.
- Treating a $100bn tax cut as equivalent to $100bn of spending. It is smaller by a factor of c.
- Inverting the definitions — expansionary policy reduces the surplus.
- Sizing the offset to the output gap rather than to the PAE shift.
The mpc is 0.5. Compare $100bn of extra government purchases with $100bn of tax cuts. The resulting changes in equilibrium GDP are:
- A$200bn from spending, $200bn from the tax cut
- B$200bn from spending, $100bn from the tax cut
- C$100bn from spending, $50bn from the tax cut
- D$100bn from spending, $200bn from the tax cut
Answer
B — $200bn and $100bn.
G enters autonomous spending one-for-one: ΔPAE = 100, multiplier 1/(1 − 0.5) = 2, so ΔY = 200. The tax cut enters as −cT: ΔPAE = 0.5 × 100 = 50, so ΔY = 50 × 2 = 100. Dollar for dollar, spending is twice as powerful here, because households save part of a tax cut.
C is the trap: it stops at ΔPAE and never applies the multiplier. (The counterargument for tax cuts is speed — they reach people faster than new programs can be stood up.)
Expansionary fiscal policy:
- AIncreases the budget surplus and raises PAE
- BIncreases the budget surplus and lowers PAE
- CDecreases the budget surplus and raises PAE
- DDecreases the budget surplus and lowers PAE
Answer
C — decreases the surplus, raises PAE.
The surplus is T − G. Expansion means spending more or taxing less, both of which shrink T − G while pushing planned spending up.
B is the trap — it is the definition of contractionary policy. These two get inverted more than any other pair in the chapter, so read the word before you answer.
A shock has opened an output gap of $800bn and the mpc is 0.75. To fully offset it, government purchases should rise by:
- A$800bn — match the output gap
- B$200bn — the size of the PAE shift
- C$3,200bn — the output gap times the multiplier
- D$600bn — the output gap times the mpc
Answer
B — $200bn.
The multiplier is 1/(1 − 0.75) = 4, so an $800bn output gap was produced by a PAE shift of 800/4 = 200. Reversing a 200 shift reverses the whole 800 gap, because the same multiplier applies in both directions.
A is the trap: sizing the policy to ΔY rather than ΔPAE, which over-stimulates by a factor of the multiplier.
Which of the following is not one of the course's concerns about government debt?
- AMore debt probably raises interest rates
- BDebt rising too fast as a share of GDP can trigger a debt crisis
- CThe debt must be repaid in full, so it cannot simply be carried forward
- DServicing costs mean future generations pay more
Answer
C — debt does not have to be repaid.
The course is explicit that debt can be serviced rather than repaid. That is precisely why the intergenerational worry is framed as higher servicing costs (option D), not as a looming repayment.
D is the trap for anyone skimming: it sounds like the same claim as C, but it is the correct version of it.
A shock lowers autonomous spending by $400bn. The mpc is 0.75.
(a) By how much does equilibrium GDP fall?
(b) How much extra government spending exactly offsets it?
(c) How large a tax cut would do the same job?
(d) Which instrument would you choose, and what makes this hard in practice?
Model answer
(a) Multiplier = 1/(1 − 0.75) = 4. ΔY = 4 × (−400) = −$1,600bn.
(b) G enters autonomous spending one-for-one, so raise G by $400bn — match the shift in PAE, not the $1,600bn output gap.
(c) A tax cut enters as −cΔT, so it must be larger: ΔPAE = 0.75 × cut = 400 ⟹ cut taxes by $533.3bn. Households save the other quarter.
(d) Spending is stronger per dollar, so it is the cheaper way to close the gap; tax cuts are defensible because they reach households faster than new programs can be stood up. The real difficulty is timing and magnitude: you cannot directly observe how far PAE has shifted, and you need a forecast of how long it stays depressed — if more than a year, the stimulus must last more than a year. The 2009 Recovery Act counteracted some, but by no means all, of the 2008–09 fall.
On the diagram: PAE₁ shifts down in parallel by 400 to PAE₂, output slides from Y₁ to Y₂ (a fall of 1,600); the policy shifts the line back up by 400 to PAE₃, restoring Y₁.
- Computing the multiplier as 1/(1 − c) and showing ΔY = 4 × 400.
- Sizing the spending offset to the PAE shift (400), not the gap (1,600).
- Scaling the tax cut by 1/c to get 533.3, with the reason (households save part of it).
- Naming timing and magnitude as the practical obstacle, and the speed advantage of tax cuts.
- Parallel shifts on the diagram with all three PAE lines labelled.
Explain why the 2008 housing bust reduced both investment and consumption, and say what constrains a government's ability to respond with fiscal policy.
Model answer
Investment. Housing is a form of capital, and the bust slashed its expected future MRPK, which by Unit 14 lowers the present value of new housing capital and therefore investment in it. The financial crisis then damaged animal spirits and made credit hard for firms to obtain. Both cut IP.
Consumption. Collapsing house and stock prices destroyed wealth, and wealth is a determinant of C. The crisis also hurt consumer confidence and restricted household access to credit. The bubble had already pushed C and IP above normal and left households heavily indebted, which made the reversal sharper.
Both shift PAE down, and the multiplier turns that into a larger fall in Y.
Constraints. Savers must be willing to buy the debt; state and local governments face balanced budget requirements that force service and school cuts in exactly the wrong part of the cycle; and the federal government faces debt ceilings and budget fights — the 2025 shutdown was the longest on record, ended by a continuing resolution on 12 November 2025. Federal debt held by the public is already historically high, and the CBO projects the July 2025 reconciliation bill adds about 9.5 percentage points by 2034.
- Routing investment through expected MRPK and present value, not just "confidence".
- Routing consumption through wealth, with confidence and credit as secondary.
- Saying both shift PAE down and Y falls by a multiplied amount.
- At least two concrete constraints, with balanced budget requirements being the one most answers miss.
- Citing the debt numbers rather than asserting that debt is "high".