ANNEX I PROCEDURE FOR THE CALCULATION OF THE ANNUAL CONTRIBUTIONS OF INSTITUTIONS
STEP 1 Calculation of the Raw Indicators
The resolution authority shall calculate the following indicators by applying the following measures:
STEP 2 Discretization of the Indicators
1.In the notation that follows, n indexes institutions, i indexes indicators within pillars and j indexes pillars.
2.For each raw indicator resulting from Step 1, xij , except for the indicator ‘extent of previous extraordinary public financial support’, the resolution authority shall calculate the number of bins, kij , as the nearest integer to:
where:
N is the number of institutions, contributing to the resolution financing arrangement, for which the indicator is calculated;
3.For each indicator, except for the indicator ‘extent of previous extraordinary public financial support’, the resolution authority shall assign the same number of institutions to each bin, starting by assigning institutions with the lowest values of the raw indicator to the first bin. In case the number of institutions cannot be exactly divided by the number of bins, each of the first r bins, starting from the bin containing the institutions with the lowest values of the raw indicator, where r is the remainder of the division of the number of institutions, N, by the number of bins, kij , is assigned one additional institution.
4.For each indicator, except for the indicator ‘extent of previous extraordinary public financial support’, the resolution authority shall assign to all the institutions contained in a given bin the value of the order of the bin, counting from the left to the right, so that the value of the discretized indicator is defined as Iij,n = 1, …, kij .
5.This Step shall apply to the indicators listed under points (a) and (b) of Article 6(5) only if the resolution authority determines them as continuous variables.
STEP 3 Rescaling of the Indicators
The resolution authority shall rescale each indicator resulting from Step 2, Iij , over the range 1-1 000 by applying the following formula:
where the arguments of the minimum and the maximum functions shall be the values of all institutions, contributing to the resolution financing arrangement, for which the indicator is calculated.
STEP 4 Inclusion of the Assigned Sign
1.The resolution authority shall apply the following signs to the indicators:
Pillar | Indicator | Sign |
---|---|---|
Risk exposure | Own funds and eligible liabilities held by the institution in excess of the MREL | – |
Risk exposure | Leverage Ratio | – |
Risk exposure | Common Equity Tier 1 Capital Ratio | – |
Risk exposure | TRE/Total Assets | + |
Stability and Variety of Funding | Net Stable Funding Ratio | – |
Stability and Variety of Funding | Liquidity Coverage Ratio | – |
Importance of an institution to the stability of the financial system or economy | Share of interbank loans and deposits in the EU | + |
Additional risk indicators to be determined by the resolution authority | IPS Membership | – |
Additional risk indicators to be determined by the resolution authority | Extent of previous extraordinary public financial support | + |
For indicators with positive sign, higher values correspond to higher riskiness of an institution. For indicators with negative sign, higher values correspond to lower riskiness of an institution.
The resolution authority shall determine the indicators trading activities, off-balance sheet exposures, derivatives, complexity and resolvability, and specify their sign accordingly.
2.The resolution authority shall apply the following transformation to each rescaled indicator resulting from Step 3, RIij,n , in order to include its sign:
TRIij,n = | RIij,n | if sign = ‘–’ |
1 001 – RIij,n | if sign = ‘+’ |
STEP 5 Calculation of the Composite Indicator
1.The resolution authority shall aggregate the indicators i within each pillar j through a weighted arithmetic average by applying the following formula:
where:
wij is the weight of indicator i in pillar j as defined by Article 7;
Nj is the number of indicators within pillar j.
2.In order to compute the composite indicator, the resolution authority shall aggregate the pillars j through a weighted geometric average by applying the following formula:
where:
Wj is the weight of pillar j as defined by Article 7;
J is the number of pillars.
3.The resolution authority shall apply the following transformation in order for the final composite indicator to be defined as taking higher values for institutions with higher risk profiles:
STEP 6 Calculation of the Annual Contributions
1.The resolution authority shall rescale the final composite indicator resulting from Step 5, FCIn , over the range defined in Article 9 by applying the following formula:
where the arguments of the minimum and the maximum functions shall be the values of all institutions, contributing to the resolution financing arrangement, for which the final composite indicator is calculated.
2.The resolution authority shall compute the annual contribution of each institution n, except in respect of institutions which are subject to Article 10 and except for the lump-sum portion of the contributions of institutions to which Member States apply Article 20(5), as:
where:
p, q index institutions;
Target is the annual target level as determined by the resolution authority in accordance with Article 4(2), minus the sum of the contributions calculated in accordance with Article 10 and minus the sum of any lump sum that may be paid under Article 20(5);
Bn is the amount of liabilities (excluding own funds) less covered deposits of institution n, as adjusted in accordance with Article 5 and without prejudice to the application of Article 20(5).
ANNEX II DATA TO BE SUBMITTED TO THE RESOLUTION AUTHORITIES
Total Assets as defined in Article 3(12)
Total Liabilities as defined in Article 3(11)
Liabilities covered by points (a), (b), (c), (d), (e) and (f) of Article 5(1)
Liabilities arising from derivatives contracts
Liabilities arising from derivatives contracts valued in accordance with Article 5(3)
Covered deposits
Total Risk Exposure
Own funds
Common Equity Tier 1 Capital Ratio
Eligible liabilities
Leverage Ratio
Liquidity Coverage Ratio
Net Stable Funding Ratio
Interbank loans
Interbank deposits