Household-level studies compare more and less exposed households in the same market, which differences out anything common to both: house prices, rents, lending conditions. Macro studies keep those market-wide responses in. When the two are placed on a common scale, the cross-country macro estimates are five to twelve times larger.
How much amplification would close the gap?
Figure 3, interactive
The blue dots are the two household-level estimates. Drag the multiplier to amplify them and see when the amplified range reaches the cross-country macro estimates. The markers under the slider are total-to-direct ratios from other credit shocks, each labelled with its setting, because none of them is a policy tightening.
Household-level estimates: DeFusco et al. (2020) for the United States (0.16) and Aastveit et al. for Norway (0.27). Macro range: 1.4 to 2.0 pp from the cross-country studies of Cerutti et al. (2017) and Akinci and Olmstead-Rumsey (2018), the paper's preferred range. The faint row is the publication-bias-adjusted meta-analysis of Malovaná et al. (2025), 0.6 to 1.1 pp, shown for context only because its sample mixes micro-level and macro-level studies. Benchmarks: Huber (2018), county employment after a German bank's lending cut, 2.6 to 3.9; Mian, Sarto and Sufi (2026), regional credit response in the US 2000s expansion, 4.5; Sarto (2025), US counties in the same expansion, 5.6 with a range of 4.2 (elastic housing supply) to 7.7 (inelastic). The comparison is a plausibility check across different settings, not an estimate of amplification from mortgage constraints.
The gap should not be read as an estimate of general equilibrium amplification. The micro and macro studies differ in samples, countries, policy changes, credit measures, methods and horizons. Macro estimates may pick up anticipation, concurrent policies, or whatever else was happening around a tightening. Micro comparisons can suffer from contaminated control groups, and the direction of that bias depends on whom the spillover hits. If lower house prices reduce borrowing more among the comparison group, the gap overstates amplification. If the spillover falls mainly on exposed households, as the collateral feedback under an LTV limit does, or if lenders reallocate credit toward the comparison group, as in Ireland, the gap understates it.
What the exercise shows is narrower. Multipliers of 2.6 to 7.7, the range spanned by the regional estimates, turn 0.16 to 0.27 into 0.4 to 2.1 percentage points, which spans the macro range. But the overlap is confined to the upper part of that range: the macro estimates correspond to five to twelve times the household-level effects, so only amplification of the size Sarto finds in counties with inelastic housing supply, or the upper end of the regional credit multipliers, closes the gap. Huber's German employment ratios and the US regional credit multiplier of Mian, Sarto and Sufi do not. Equilibrium effects at the upper end of those found elsewhere in the credit literature would reconcile the two sets of estimates, they have not been estimated for mortgage constraints, and the gap may also reflect upward bias in the macro estimates.
House prices
Cross-country estimates are imprecise: a meta-analysis finds weaker effects on prices than on credit, while one cross-country study puts the house-price effect of LTV tightenings at about 8 percent. Within-country studies find clearer responses where the rules bind: Irish house-price growth in the most exposed urban markets slowed from above 20 percent to around 4. Taiwanese districts under an LTV tightening saw prices fall 6 percent relative to neighbours across the border. Lower prices transfer from net sellers, who are older and wealthier, to net buyers, who are younger. Under an LTV rule they also tighten capacity for owners who move or refinance.
Rents
Households that delay a purchase add to rental demand. In the Irish counties where the 2015 limits bound most, house prices grew less and rents grew more over the following two years. A one-standard-deviation increase in exposure came with 4.2 percent lower house-price growth and 2.5 percent higher rent growth. A policy that lowers the price of owner-occupied housing can still leave prospective buyers worse off while they remain renters. Rents rising while prices fall also says the rental market did not absorb the displaced demand frictionlessly.
Lenders
Banks most exposed to the Irish limits shifted mortgage lending toward higher-income households and rural markets, lent more to riskier firms and bought more high-yield securities. Irish banking groups also took on more leveraged mortgage lending in the United Kingdom. UK lenders bound by the high-LTI cap charged more for such loans. A reduction in high-LTV mortgages lowers vulnerability only to the extent that the displaced credit does not reappear in an equally fragile form.
Transfers net out. Collateral revaluation does not.
Stylised model
Drag the house-price change a tightening induces. Buyers' gains and sellers' losses are mirror images and sum to zero: a transfer whose size matters for distribution, not for the total. The second bar is the revaluation of borrowing capacity for every constrained household. Switch the instrument to see it vanish under an income-based limit.
Illustrative magnitudes for a market with one unit of housing traded. The revaluation channel is λ·τ·h per constrained household under an LTV rule (Appendix B.3). For a first-time buyer the two channels partly offset. For an owner who trades up modestly and is constrained, a lower price can be a net loss.
1
Market responses are plausibly large. Aggregate credit estimates are several times the mechanically aggregated micro responses. The gap is consistent with amplification through prices, lending conditions and credit allocation, but it does not identify it.
2
Incidence depends on the channel. Lower prices favour prospective buyers and may offset part of their direct burden. Higher rents fall on the households that could not buy. Lender reallocation moves credit toward groups that are generally less exposed.
3
No study adds it up. The evidence shows that term (II) redistributes the effects of mortgage constraints in ways that differ from statutory exposure. It does not yet provide a joint estimate of the gains and losses, or a money-metric value of the term as a whole.