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Does an additional tier 1 shortfall reduce headroom to the distribution trigger?

The capital analysis computes the shortfall and the buffer analysis computes the trigger, and no report in the bank carries the first number into the second.

Yes. Northbank plc is required to hold 560.8 million of additional tier 1 and holds 520.0 million, so 40.8 million of common equity fills the gap — and common equity used to meet a capital requirement cannot also count towards the combined buffer. On risk-weighted assets of 29 908.9 million that is 13.6 basis points. Headroom to the distribution trigger is 2.8432 per cent, or 850.4 million, not the 2.9796 per cent and 891.2 million the board pack reports.

The trigger is a sum, and every term in it is published

The level at which distributions are restricted is not a supervisory opinion. It is an addition. Northbank plc, a European bank of national systemic importance, faces a Pillar 1 common equity minimum of 4.5 per cent and a Pillar 2 requirement of 2.00 per cent that must be met 56.25 per cent in common equity. That is 1.1250 per cent, so the requirement before any buffer is 5.6250 per cent. The combined buffer sits on top, built layer by layer.

The distribution trigger, term by term, on Northbank’s risk-weighted assets of 29 908.9 million.
ComponentPer cent of risk-weighted assets
Pillar 1, common equity4.5000 %
Pillar 2 requirement, common equity portion1.1250 %
Requirement before buffers5.6250 %
Capital conservation buffer2.5000 %
Countercyclical buffer, weighted0.9700 %
Systemic institution buffer1.0000 %
Sectoral systemic risk buffer0.5000 %
Combined buffer requirement4.9700 %
Distribution trigger10.5950 %

Ten point five nine five zero. Below that ratio distributions are restricted by operation of law. No supervisor writes a letter and no board votes. The restriction is arithmetic on a regulatory return.

The common equity that is already spoken for

Northbank reports a common equity tier 1 ratio of 13.5746 per cent. Subtract the trigger and headroom is 2.9796 per cent, or 891.2 million. That is the figure in the board pack, rounded up in conversation to three points.

It is too large, and the reason sits in the capital table one page earlier. Northbank is required to hold 560.8 million of additional tier 1 and holds 520.0 million. It holds 910.0 million of tier 2 against a requirement of 747.7 million, a surplus of 162.3 million, and that surplus is of no use here: tier 2 is not in the numerator of the tier 1 ratio, so it cannot fill a tier 1 hole in any amount, ever. The two lines do not net to 121.5 million ahead. One is a shortfall of 40.8 million, and the only instrument left that counts is common equity.

Then read the buffer rule slowly, because everything turns on one clause in it. The common equity counted towards the combined buffer requirement is the common equity that is not already being used to meet a capital requirement. Common equity conscripted to plug an additional tier 1 hole is doing a job. It cannot do that job and count as buffer as well.

Headroom to the distribution trigger, before and after the deduction.
Measure%EUR m
Headroom as the board reads it2.9796891.2
Additional tier 1 shortfall, plugged with common equity0.136440.8
Headroom to the distribution trigger2.8432850.4

Thirteen point six basis points. It is not a large error and it is not offered as one. It is made of a number the bank has already computed, in its own capital analysis, that has never been carried into the distribution calculation. The two figures live one page apart in the same pack and nothing joins them. The direction never varies either: a shortfall in a lower tier is always plugged from a higher one, the higher tier is always common equity, and the plug always comes out of the buffer.

Why 13.6 basis points is worth the page

The quantity being mismeasured is the distance to a discontinuity. Below the trigger the combined buffer of 4.9700 per cent divides into four quarters of 1.2425 per cent, and each quarter carries its own cap on distributable profits.

The maximum distributable amount, quarter by quarter.
Quarter of the combined buffer metCommon equity ratioDistribution factor
Buffer fully met, or better10.5950 % and above100 %
Fourth quarter9.3525 % to 10.5950 %60 %
Third quarter8.1100 % to 9.3525 %40 %
Second quarter6.8675 % to 8.1100 %20 %
First quarter5.6250 % to 6.8675 %0 %

Read the top two rows together. A bank at 10.5951 per cent distributes everything. A bank at 10.5949 per cent distributes 60 per cent of distributable profits and no more. One basis point of ratio costs 40 percentage points of the payout, and every step below that one costs 20. The first step is the tallest, and it is triggered by crossing a line rather than by falling some distance past it. A capital plan that models the restriction as a gradual squeeze has modelled the wrong shape.

The cap covers more than the ordinary dividend. Buybacks, variable remuneration and the coupon on additional tier 1 instruments compete for the same capped amount, and Northbank holds 520.0 million of those instruments. A bank that crosses the trigger is choosing, inside 60 per cent of distributable profits, between the dividend, the bonus pool and the coupon on the very instruments it was already short of.

Four correct numbers, one word

Above the trigger sits supervisory guidance of 1.25 per cent, an expected level of 11.8450 per cent. Guidance restricts nothing automatically. It starts a conversation, and a supervisor who has opened one usually has views on the dividend that are accommodated without any rule being invoked. Headroom to guidance reads 1.7296 per cent, and 1.5932 per cent once the same shortfall is deducted. Four quantities therefore circulate under one word: 2.9796 and 2.8432 per cent to the automatic trigger, 1.7296 and 1.5932 to the level the supervisor expects. The board was told three points. Nobody lied; four correct calculations exist and one of them was reported.

Recompute it in this order, on paper. Take the common equity tier 1 ratio. Deduct, explicitly and as a separate line, the common equity filling a shortfall in any other tier — Northbank’s line is 40.8 million, from 560.8 required against 520.0 held. Then subtract the trigger. Then subtract guidance. Two headrooms result, one automatic and one negotiated, standing on the reported basis 284.32 and 172.96 basis points away. Then label the page: a line reading “to the automatic distribution trigger, after deducting common equity used to meet the additional tier 1 requirement” removes the ambiguity permanently. And put the staircase in the pack once, as a table. A board that has seen the step from 100 per cent to 60 per cent happen at a single point never again asks whether a small breach is a small problem.

The workbooks behind this article

Every figure above is a live formula in the free companion files for Financial Regulation. Each workbook ends with a Checks sheet setting the printed figure beside the computed one. No account and no email address.

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