ANNEX I
For the purpose of the formulas set out in this Annex, ‘C’ stands indifferently for programme compartment or time compartment, as the costs attributed to one or the other follow the same levelling methodology.
1. Calculation of the cost of funding
The cost of funding shall be calculated in the following steps:
Step 1: Calculation of the daily total costs of an individual funding instrument in a programme compartment or time compartment or in the liquidity management compartment
The daily accruals shall be calculated:
Leap years shall be integrated in the calculation of daily accruals for each individual long-term funding instrument as follows:
For bond taps, i.e. an increase in size of a past issuance, the first coupon may be calculated as a short or long coupon, running from the tap settlement date to the next coupon date. Coupon payments should be calculated as follows, unless otherwise agreed with investors:
First, by calculating accrued interests running from previous coupon payment date, for each individual long-term funding instrument, these accrued interests shall be calculated as follows:
For short and long coupons, payments should be calculated as follows:
Accrued interests received from investors at issuance temporarily increase liquidity holdings until such time that they are netted with the first coupon payment. Accrued interests are reflected in cost calculations via the liquidity compartment, however they are not part of the daily accruals attached to the funding instruments and its relevant programme compartments or time compartment. All costs or return from borrowing and debt management operations incurred by the Commission are transferred to beneficiaries under this methodology.
The sum of daily accruals implementing the above method for each individual funding instrument shall be equal to the sum of daily accruals over its entire accrual period, as such:
For each funding instrument, the agio/disagio shall be linearly distributed over the lifetime of the instrument:
agio/disagio daily = (100-issuance price):(maturity date-issuance date)
where Issuance price = All-in Price (including bank fees)
For each debt and/or liquidity management transaction, the sum of daily accruals implementing the method for each individual funding or investment instrument shall be calculated as follows:
For each debt and liquidity management instrument, transaction fees shall be linearly distributed over the lifetime of the instrument:
Transactionfees daily = fees:(maturity date-issuance date)
For each funding instrument, the daily total costs shall be calculated:
CoF daily per instrument = ACC daily* +agio/disagio daily
*
The ACC daily will take into account leap year or non-leap year accrual as described in Step 1.
Step 2: Calculation of the aggregate daily total costs of funding
For each programme compartment or time compartment, the daily total costs for the programme compartment or time compartment before the levelling referred to in Article 7 shall be the sum of all daily total costs of each funding instrument attributed to the programme compartment or time compartment:
CoF dailyC(x)pre-levelling =∑ CoF daily per instrument allocated to the C(x)
For the liquidity management compartment the Cost of Funding shall be:
CoF dailyLMCpre-levelling =∑ CoF daily per instrument allocated to the LMC
Step 3: Calculation of the liquidity balances in the programme compartment or time compartments
The level of liquidity holdings shall be calculated on daily basis as follows:
Liquidity C(x) = Inflows [Issuance proceeds + Interest loans/grants + Repayments loans/grants ] – Outflows [Disbursements + Coupons outstanding debt + Debt Redemptions]
When Liquidity C(x) is negative, it shall indicate the amount of deficit of the programme compartment or time compartment, that shall be defined as Liquidity C(deficit) and when positive, it shall indicate the amount of liquidity surplus of the programme compartment or time compartment, that shall be defined as Liquidity C(surplus)
Step 4: Calculation of the cost of funding of funding instruments affected by liquidity surplus
This step identifies the part of the CoF of the programme compartments or time compartments with a liquidity surplus that can be attributed to the liquidity held in that programme compartment or time compartment.
The costs of funding related to the funding instruments shall be calculated as follows:
CoF Liquidity surplusC(surplus) =
CoF dailyC(surplus)pre-levelling * Liquidity C(surplus) : TotalC(surplus)
CoF dailyC(surplus)post-levelling = CoF dailyC(surplus)pre-levelling – CoF Liquidity surplusC(surplus)
Step 5: Calculation of the cost of liquidity management compartment in case cost of funding are attributed to it from the programme compartment or time compartment with liquidity surplus
In case the liquidity management compartment receives surplus from the programme compartment or time compartment, the cost of liquidity management compartment shall be calculated as follows:
CoF dailyLMCpost-levelling = CoF dailyLMCpre-levelling + ∑ CoF Liquidity surplusC(surplus)
Step 6: Calculation of the cost of funding of the programme compartment or time compartment with liquidity deficit
Any liquidity deficit in a programme compartment or time compartment is levelled with a transfer of liquidity from the liquidity management compartment at its daily costs of funding (Step 5).
For programme compartments or time compartments with a positive liquidity balance, the post-levelling cost of funding already result from Step 4 above.
CoF Liquidity transfer from LMC = CoF dailyLMCpost-levelling * Transfer amount: Total LMC
CoF dailyC(deficit)post-levelling = CoF dailyC(deficit)pre-levelling + CoF Liquidity transfer from LMC
The liquidity management compartment is therefore the result of short-term funding instruments outstanding, in addition to any transfers of surplus from other programme compartments or time compartments minus any transfers to compensate deficits from other programme compartments or time compartments. Cost transfers follow a step-by-step approach where, first costs associated to surpluses in other programme compartments or time compartments feed in the liquidity management compartment, and second, average cost of outstanding short term funding instruments and surpluses from other programme compartments or time compartments, is then transferred to other programme compartments or time compartments in deficit. Liquidity holdings are the result of this levelling as well as any costs or returns from said holdings that have not been yet transferred to beneficiaries. Liquidity holdings also reflect the time mismatch between the moment where coupon or accrued interests are paid and received from investors and charged to beneficiaries.
The level of liquidity holdings in the liquidity management compartment shall be calculated on daily basis as follows:
Total LMC(x) = Inflows [Issuance proceeds + Liquidity C(surplus) ] – Outflows [Liquidity C(deficit) + Debt Redemptions]
Holdings LMC(x) = Total LMC(x) + RoI of liquidity holdings daily + LIQM annual payments + Inflows of liquidity holdings daily – Outflows of liquidity holdings daily
While the cost of funding may vary between programme compartments and between time compartments because of differences in funding conditions beyond the control of the Commission, the Commission shall manage borrowing and debt management operations in order to ensure that each programme compartment or time compartment bears maturity profiles that, to the greatest extent possible, are set close to their targets as defined this Decision.
Step 7: Calculation of the daily cost of funding of a disbursement
The daily cost of funding of disbursement shall be the amount of the disbursement multiplied by the relative share of the disbursement in relation to the programme compartment or time compartment to which it is allocated.
CoF of disbursement in C(x) =
CoF dailyC(x)post-levelling * outstand amount of disbursement: ∑ outstanding disbursements in C(x)
2. Calculation of Cost of Liquidity Management
The costs of liquidity management per disbursement shall be calculated as the sum of the daily costs of the liquidity management compartment holding after the levelling of liquidity balances of the programme compartments or time compartments over the calculation period. Returns or costs in case of negative rates are calculated on the basis of liquidity available after levelling, i.e. increased by liquidity surpluses and reduced by liquidity deficits, as described in point 1 step 6. Any exceptional fees or penalties paid or received shall be integrated in the calculation of liquidity management costs and added to the return on the transaction at payment date. Any returns shall be deducted as follows:
LIQM quarter = ∑ CoF dailyLMCpost-levelling over the quarter – RoI of liquidity holdings quarter
The LIQM shall be attributed to each disbursement as follows:
LIQM of disbursement =
LIQM quarter *
∑ outstanding disbursement end of quarter : ∑ outstanding disbursements end of quarter
3. Calculation of Cost of Service for administrative overheads
3.1. Calculation of recurring administrative costs
Recurring administrative costs shall be calculated as follows:
annual recurring administrative costs total = ∑ recurring administrative cost items for calendar year
Recurring administrative costs shall be allocated as follows:
annual recurring administrative costs per beneficiary =
annual recurring administrative costs total *
∑ disbursement outstanding towards beneficiary end of year : ∑ outstanding disbursements end of year
3.2. Calculation and allocation of set-up costs
The set-up costs per beneficiary of RRF loans shall be calculated in the following three steps:
(1)
The set-up costs for RRF loans shall be calculated as follows:
set-up costs for RRF loans = 48 %*∑ set-up cost items
(2)
The set-up costs for RRF loans shall be allocated for the years 2021, 2022 and 2023 to each Member State having signed an RRF loan agreement as follows:
set-up costs per RRF loan signed = set-up costs for RRF loans *
amount of loan signed per Member State end of year : total maximum amount of RRF loans
(3)
As of 1 January 2024, any unallocated set-up costs shall be calculated as follows:
unallocated set-up cost for RRF loans = set-up costs for RRF loans – ∑ allocated set-up cost items to RRF loans in 2021, 2022 and 2023
They shall be allocated as additional set-up costs to disbursements to Member States under RRF loan agreement as follows:
additional set-up costs per beneficiary = unallocated set-up cost for RRF loans end 2023 *
∑ amounts of loan signed per beneficiary end 2023 : total amount of loans under signed RRF loan agreements end 2023
3.3. Calculation of Cost of Service per beneficiary
CoS Annual = ∑ Recurring administrative cost items + ∑ Set-up administrative cost items
4. Glossary of acronyms
ACC daily
Accrued interest costs broken down by day
ACC daily leap year
Accrued interest costs broken down by day for a leap year (366 days). ACC non leap year is 365 days.
ACC coupon tap
Accrued interests calculated for short and long coupon (days from original issue date or coupon date to new settlement date)
ACC total
Accrued interests calculated as sum of daily accruals of a funding or investment instrument over entire accrual period (start to maturity)
ADMIN Costs Annual
Sum of administrative costs during the calendar year
agio/disagio daily
agio or disagio broken down by day
Beneficiary
Member State or a third country that is a party to a loan agreement under a CAM programme, or the Union budget for non-repayable support under Article 5(1) of Decision (EU, Euratom) 2020/2053
CoF
Cost of Funding
CoF of an individual claim in C(x)
CoF of a claim in programme compartment X or time compartment X
CoF daily per instrument
CoF per day per funding instrument
CoF dailyC(deficit)post-levelling
CoF per day after the levelling for the programme compartment or time compartment with an initial liquidity deficit
CoF dailyC(surplus)post-levelling
CoF per day after the levelling for the programme compartment or time compartment with an initial liquidity surplus
CoF dailyLMCpost-levelling
CoF per day for the LMC after the levelling
CoF dailyLMCpre-levelling
CoF per day for the LMC before the levelling
CoF dailyC(x)pre-levelling
CoF per day before the levelling of programme compartment X or time compartment X
CoF Liquidity surplusC(surplus)
CoF per day related to the liquidity surplus in the programme compartment or time compartment
CoF Liquidity transfer from LMC
CoF per day related to the liquidity that is transferred to the LMC
CoS Annual
Sum of administrative cost of service during the calendar year
Coupon
Interests paid by the issuer on the bond
Coupon
tap
Amount of interests paid by the issuer on the bond in the case of a bond tap, for short or long coupons, including accrued interests
C(x)
Total sum of claims and liquidity of programme compartment X or time compartment X
Holdings LMC(x)
Daily cash position of the funding pool post levelling and after taking into consideration RoI holdings and interests charged to beneficiaries
Liquidity C(x)
Amount of liquidity in programme compartment X or time compartment X
LMC Costs quarter
Costs of the liquidity management over a quarter
LIQM quarter
Liquidity management carry calculated as the sum of daily costs (LMC) and return of liquidity over the quarter
LIQM annual payments
Liquidity management carry calculated as the sum of daily costs (LMC) and return of liquidity over past periods
Notional
Nominal amount
RoI of liquidity holdings quarter
Return on investment of the liquidity holdings over a quarter
Total LMC(x
Daily liquidity position of the liquidity management compartment before RoI holdings and interest charged to beneficiaries, taking into account short term funding proceeds, surpluses and deficits from programme compartments and time compartments and debt redemption payments