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ECC Margining
24.09.2018 Version 1.8.1 Contact
European Commodity Clearing AG
Risk Controlling & Compliance
Phone: +49 341 24680-530
E-mail: [email protected]
ECC Margining Page 2 Version 1.8.1 © ECC AG – part of eex group
Table of Contents
1. Introduction 5
1.1 Overview of Margin Types 5
1.2 Regulatory Requirements 7
2. Calculation of Margin Parameters 8
2.1 Calculation of Single Margin Parameters 8
2.1.1 Margin Parameter 8
2.1.2 Procyclicality and Period of Stress Buffer 8
2.1.3 Expiry Month Factor 9
2.2 Calculation of Spread-Margin Parameters 9
2.3 Conservative Corrections 11
3. Calculation of Spot Margin 12
3.1 Daily Exposures 14
3.2 Algorithm to Compute the Initial Spot Margin 15
3.2.1 Special Holiday Adjustment 16
3.2.2 Additional Exposure Dates 17
3.2.3 Consideration of delivery risk in the exposure generation 17
3.2.4 Example for exposure aggregation 18
3.3 Calibration of Parameters 20
3.4 Current Exposure Spot Market 20
4. Financial Resources 23
4.1 Default Waterfall 23
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5. Margin Reports 25
6. SPAN Calculation 26
6.1 Combined Commodity 26
6.2 Scan Risk 26
6.3 Volatility Scan Range 27
6.4 Short-Option Minimum (SOM) 27
6.5 Spreads 27
6.5.1 Perfect Spreads 27
6.5.2 Regular Spreads 28
6.6 SPAN Initial Margin 28
6.7 Delivery Margin 28
6.8 Premium Margin and Additional Collateral 30
6.9 80% Margin CAP 31
6.10 Concentration Risk 32
7. Sample Calculations with PC SPAN® 33
7.1 Prerequisites 33
7.2 Loading SPAN® Parameters 34
7.3 Building-Portfolio 34
7.4 Calculating SPAN® Initial Margin Requirements 36
7.5 Checking Margin Requirements 37
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1. Introduction
This document provides the documentation of ECC's margining system both for derivatives and spot
markets. The current values of used calculation parameters, if not set in this document, can be found
in the risk parameter file on http://www.ecc.de/en/risk-management/margining.
1.1 Overview of Margin Types
Margining at ECC distinguishes between derivatives and spot markets: For derivatives markets, ECC
employs a statistical approach that calculates potential changes in the value of a trading member’s
portfolio over a time horizon that is needed to liquidate the portfolio using SPAN®.1
For spot markets, the counterparty risk comprises the payment obligation from concluded
transactions that have not been settled. ECC uses an in house model based on the time-series of a
members trading behavior to calculate the margin requirement. ECC clears spot markets for
commodities on which mainly non-financial market participants are active. Settlement cycles between
the non-financial market participants and their Clearing Member are usually longer than between
ECC and the Clearing Members. On some spot markets (power, natural gas) trading and clearing
takes place 24/7 including times where settlement of payments is not possible due to TARGET II
closure. ECC measures credit exposure on spot markets2 near to real time on a 24/7 basis using the
Current Exposure Spot Market. This Current Exposure Spot Market has to be covered with collateral
at all times. In order to avoid frequent margin calls due to collateral shortfalls and to cover exposures
that might arise from trading activities during TARGET II closure times ECC has established an
additional margin component, the Spot Initial Margin. This Spot Initial Margin is an additional buffer. It
is designed to cover exposure from potential spot transactions in the future.
1 'SPAN® ' is a registered trademark of Chicago Mercantile Exchange Inc. Chicago Mercantile Exchange Inc.
assumes no liability in connection with the use of SPAN® by any person or entity
2 Non-storable commodities (e.g. gas and power transactions) have current exposure only; storable commodities
(e.g. EUA certificates) also have potential future exposure
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The parameters of both methods are calibrated to cover ECC's exposure with a confidence level of
99%. The following table gives an overview of the different margin types:
Exposure Type
Margin Type Description
Cu
rre
nt
Ex
po
su
re
Variation Margin Mark-to-market value (change) of all open positions in futures using the latest market prices received from the markets
Premium Margin ECC's options are Premium Style (i.e. no daily Variation Margin is calculated). Therefore Premium Margin has to be deposited for net short positions. For net long positions, credits from Premium Margin are used to offset other margin requirements
Current Exposure Spot Market3 (CESM)
The net value (payment amount) of all concluded transactions on the spot markets during the day that have not been settled
Po
ten
tia
l F
utu
re E
xp
os
ure
SPAN® Initial Margin SPAN® Initial Margin covers the risk in open positions in futures and options
Supplementary Initial Margin (MCAP)
Covers the difference between the allowed 80% margin reduction and the current margin reduction if the latter is higher
Delivery Margin Delivery Margin covers the risk in positions in physically settled futures during the delivery period
Initial Margin Spot Market (IMSM)
The IMSM is called for expected spot in the future and serves as a buffer to reduce intraday margin calls.
Margin requirements on spot markets and margin parameters for derivatives are adjusted on each
business day thus allowing ECC to quickly adopt its risk management to new market conditions.
Stress testing according to EMIR Article 42, where the default of one or more clearing members
under extreme but plausible market scenarios is simulated, is performed daily. Its results are used to
determine the default fund ECC maintains to cover counterparty risk in extreme market conditions.
ECC performs daily back testing for single and spread margin parameters as well as portfolio margin
and spot margin. Daily historical stress testing is used to assess the adequacy of margins. ECC
performs an annual validation of methods, models, and model assumptions.
3 Non-storable commodities (e.g. gas and power transactions) have current exposure only; storable commodities
(e.g. EUA certificates) also have potential future exposure
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1.2 Regulatory Requirements
ESMA Article 24 requires that for the calculation of initial margins the CCP shall at least respect the
following confidence intervals:
(a) For OTC derivatives, 99.5 %;
(b) For financial instruments other than OTC derivatives, 99 %.
ESMA Article 25 requires that a CCP shall ensure that initial margins cover at least with the
confidence interval defined the exposures resulting from historical volatility calculated based on data
covering at least the latest 12 months.
A CCP shall ensure that the data used for calculating historical volatility capture a full range of market
conditions, including periods of stress.
ESMA Article 26 requires that the liquidation period shall be at least two business days for financial
instruments other than OTC derivatives.
According to ESMA Article 28 a CCP shall ensure that its policy for selecting and revising the
confidence interval, the liquidation period and the look back period deliver forward looking, stable and
prudent margin requirements that limit procyclicality to the extent that the soundness and financial
security of the CCP is not negatively affected. This shall include avoiding when possible disruptive or
big step changes in margin requirements and establishing transparent and predictable procedures for
adjusting margin requirements in response to changing market conditions. In doing so, the CCP shall
employ at least one of the following options:
(a) Applying a margin buffer at least equal to 25 % of the calculated margins which it allows to be
temporarily exhausted in periods when calculated margin requirements are rising significantly
(b) Assigning at least 25 % weight to stressed observations in the look back period calculated in
accordance with ESMA Article 26
(c) Ensuring that its margin requirements are not lower than those that would be calculated using
volatility estimated over a 10 year historical look back period.
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2. Calculation of Margin Parameters
2.1 Calculation of Single Margin Parameters
2.1.1 Margin Parameter
Single margin parameters are the result of a filtered historical simulation over the past 255 days with
non-zero returns. The single margin parameter (without buffer) is given by a multiple of a contract's
returns' standard deviation4
𝑀𝑋(𝑡) = 𝑅𝑋(𝑡) ⋅ 𝜎𝑋(𝑡) ⋅ 𝑝𝑋(𝑡) ⋅ √2.
The standard deviation of futures daily returns is computed as an exponentially weighted moving
average (EWMA)5 of the last 255 daily relative non-zero returns from the observed daily settlement
prices. For options all relative changes of the implied volatility are used. ECC uses the concept of
constant maturities, i.e. the returns and margin parameters are calculated for time buckets with a
fixed time to expiry. The use of an exponentially weighted average allows for quicker reaction of the
margin parameters to changes in market volatility than the equally weighted estimator for the
empirical standard deviation.
𝑅𝑋 is calculated as a quantile of the volatility normalized returns: 𝑅𝑋 = (|𝑞(𝑋𝜏/𝜎𝑋(𝜏 − 1))𝛼| +
|𝑞(𝑋𝜏/𝜎𝑋(𝜏 − 1))1−𝛼|)/2, where 𝛼 = 0.99 and 𝑞(𝑋𝜏)𝛼 is the empirical 𝛼-quantile of 𝑋 using data from
the past 255 days with non-zero returns. There is both a lower and an upper cut-off, 𝑅max and 𝑅min,
for the calculated values of 𝑅𝑋. For time series with less than 100 values, 𝑅𝑋 is set 𝑅𝑋 = 𝑅max. The
factor √2 is used for scaling to a liquidation period of 2 days. For contracts with less than 30 values
the volatility is linearly interpolated between the calculated volatility and the maximal volatility found in
the contract class where the time series have more than 30 values.
2.1.2 Procyclicality and Period of Stress Buffer
ESMA allows for three different methods to prevent procyclical margining.
1. Applying a 25% weight for stress volatility,
2. Using all available data,
3. Applying a 25% buffer which can be temporarily exhausted.
ECC has decided to adopt the buffer-method in the following way:
ECC first calculates the minimal and maximal volatility 𝜎min and 𝜎max of a contract's return time series
using all available data up to the day for which margin is calculated.
4 Always valid for day 𝑡.
5 Under the assumption that the mean return is zero, the implemented formula is
𝜎𝑋(𝜏) = √ ∑ (𝑋𝑘2 𝜆𝜏−𝑘)
𝜏
𝑘=max{𝜏−255,1}
/ ∑ 𝜆𝜏−𝑘
𝜏
𝑘=max{𝜏−255,1}
.
ECC uses 𝜆 = 0.99. Zeros and missing values are not taken into account.
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ECC then calculates a stressed volatility by adding a weighted stress part into the calculation
𝜎𝑋𝑆 =
255−𝑤
255𝜎𝑋 +
𝑤
255𝜎max,
where the weight is currently set6 𝑤 = 5.
Below a threshold of 𝜎crit = 𝜎min + 𝑎 ⋅ (𝜎max − 𝜎min), the margin parameter is increased by 25%. The
value of 𝑎 is currently set to 0.2. Above the threshold 𝜎crit, the buffer of 25% is linearly reduced to
zero:
𝑏𝑋 = {
0.25 𝜎𝑋 ≤ 𝜎crit
0.25 ⋅ (1 −𝜎𝑋 − 𝜎crit
𝜎max − 𝜎crit) else
.
ECC now calculates the final single margin parameter by taking the maximum of the requirements of
the stressed volatility and the buffer method:
ℳ𝑋 = 𝑅𝑋 ⋅ 𝜎𝑋 ⋅ √2 ⋅ (1 + max {𝑏𝑋;𝑤
255
𝜎max − 𝜎𝑋
𝜎𝑋 }) ⋅ 𝑝𝑋
with 𝑝𝑋 being the contract's current settlement price.
2.1.3 Expiry Month Factor
To cover the increased price risk and / or delivery risk in positions in physically settled futures during
the delivery period, a delivery margin is called. Price risk results from the fact that there is no
variation margin payment during the delivery. Delivery risk results only in areas where ECC’s
nomination has no priority and therefore ECC could be imbalanced in the default of a trading
participant. To cover the delivery risk, the single margin parameter is adjusted by the expiry month
factor (EMF). The EMF is set as follows:
- For delivery areas where ECC’s nomination has priority or with single sided nomination the
EMF is set for natural gas and power futures separately. The current values can be found in
the risk parameter file on the website.
- For delivery areas where ECC’s nomination has no priority the EMF is derived depending on
the maximum number of calendar days between last successful settlement and suspension
by a TSO following default to deliver (this takes into account local holidays and weekends).
The EMF is subject to annual validation.
2.2 Calculation of Spread-Margin Parameters
Spread-Margin parameters are calculated in the form of credit 𝐶𝑃 for selected bivariate portfolios with
spread positions, i.e. one asset being held long and the other being held short. These portfolios are
not assigned a gross margin, i.e., the sum of the margin requirements for the individual contracts, but
a net portfolio margin. ECC's approach to calculate the net margin for such portfolios is similar to the
6 This equals a stress period of one week which has been observed in the Fukushima Event
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approach for single margins. The margin is seen as the 99%-quantile of a volatility-normalized
historical simulation7 of the absolute portfolio returns in € over the past 255 days with non-zero
returns of both contracts.
The portfolio is constructed for day8 𝑡. Its absolute returns (with respect to the current price level and
denoted in €) are a time series indexed by 𝜏:
𝑃𝜏(𝑡) = 𝑎(𝑡)𝑋𝜏 𝑝𝑋(𝑡) − 𝑏(𝑡)𝑌𝜏 𝑝𝑌(𝑡),
where 𝑋𝜏, 𝑌𝜏 are the returns on day 𝜏, 𝑎(𝑡), 𝑏(𝑡) are the position sizes and 𝑝𝑋(𝑡), 𝑝𝑌(𝑡) are the prices
on day 𝑡. The times 𝜏 are defined such that both time series (𝑋𝜏, 𝑌𝜏) are non-zero for each 𝜏,9 as
shown in the following table:
Target-2 days 1 2 3 4 5 6 7 8
𝑝𝑋 (€) 30 26.4 26.4 26.93 28.28 28.28 31.11 32.67
𝑋 0.1 -0.12 0 0.02 0.05 0 0.1 0.05
𝑝𝑌 (€) 25 25 22.75 23.89 26.28 29.17 26.25 22.31
𝑌 0.11 0 -0.09 0.05 0.1 0.11 -0.1 -0.15
𝝉 1 2 3 4 5
The time series comprises the past 255 𝜏-values before 𝑡. In the following 𝑎(𝑡) and 𝑏(𝑡) are set to
equal the margin parameters of 𝑌 and 𝑋, respectively.
Standard deviations and correlations are computed using exponentially weighted averages, i.e.,
EWMA. The gross margin for the portfolio is the sum of the individual assets' margin requirements
�̃�𝑃(𝑡) = 𝑎(𝑡)𝑀𝑋(𝑡) + 𝑏(𝑡)𝑀𝑌(𝑡),
where the margins 𝑀𝑋 and 𝑀𝑌 are calculated as shown in chapter 2.1, i.e. as the product of the
EWMA standard deviation and a dynamically adjusted risk multiplier. The risk multiplier also has to
be computed for the portfolio itself, yielding the net margin 𝑀𝑃(𝑡) = 𝑅𝑃(𝑡) ⋅ 𝜎𝑃(𝑡). Here, the portfolio's
standard deviation can be expressed by the assets' correlation coefficient 𝜌 obtained by statistical
averaging10 over 𝜏
𝜎𝑃(𝑡) = √(𝑎(𝑡) 𝜎𝑋(𝑡) 𝑝𝑋(𝑡))2 + (𝑏 (𝑡)𝜎𝑌(𝑡) 𝑝𝑌(𝑡))2 − 2𝜌(𝑡)(𝑎(𝑡) ⋅ 𝑏(𝑡))(𝜎𝑋(𝑡)𝑝𝑋(𝑡) ⋅ 𝜎𝑌(𝑡)𝑝𝑌(𝑡)).
When calculating the net margin, a conservative correction is applied to the correlation coefficient,
such that 𝜎𝑃(𝑡) → 𝜎𝑃corr(𝑡) and thus 𝑀𝑃(𝑡) = 𝑅𝑃(𝑡) ⋅ 𝜎𝑃
corr(𝑡). Details are explained in the next section.
Like for the single margin parameters, the risk multiplier is given as
𝑅𝑃(𝑡) = (|𝑞(𝑃𝜏(𝑡)/𝜎𝑃(𝜏 − 1))𝛼| + |𝑞(𝑃𝜏(𝑡)/𝜎𝑃(𝜏 − 1))1−𝛼|)/2,
7 Also known as "filtered historical simulation".
8 Under the assumption that both contracts are quoted on 𝑡. If this is not the case, the most recent credit is taken.
9 Given the individual time series 𝑋𝑡 and 𝑌𝑡, only values are taken into account where both time series are
simultaneously non-zero. This can lead to time series being different from those used for the calculation of the
single margin parameters of 𝑋 and 𝑌.
10 The statistical averaging is again exponentially weighted.
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where again 𝛼 = 0.99, and 𝑞(𝑋𝜏)𝛼 denotes the empirical 𝛼-quantile of 𝑋𝜏, i.e., with respect to the
time-index 𝜏. However, the conservative correction of the correlation coefficient is not applied when
the risk multiplier is calculated.
Finally, the credit is given by the ratio of gross to net margin – both without margin buffer –
𝐶𝑃 = 1 −𝑀𝑃
�̃�𝑃
.
SPAN® calculates the gross margin ℳ̃𝑃 based on the single margin parameters ℳ𝑋, ℳ𝑌, which
already include the margin buffer 𝑏𝑋 , 𝑏𝑌, and subtracts 𝐶𝑃 ⋅ ℳ̃𝑃 leaving the net margin requirement
also including the required margin buffer:
ℳ𝑃 = ℳ�̃�(1 − 𝐶𝑃).
2.3 Conservative Corrections
To account for statistical uncertainty in the estimation of volatility for short time series in particular,
ECC has implemented a bootstrapping method to apply conservative corrections to the correlation
coefficients that are used to calculate the net portfolio standard deviation and hence the margin
credit.
Drawing from a sample of 100,000 time series with defined correlation, the 10% quantile of the
observed EWMA-correlations are determined. These values are stored with respect to length of the
time series and underlying correlation coefficient.
In the determination of the net margin, the standard deviation is obtained using the corrected
correlation coefficient, thereby increasing 𝜎𝑃, yielding a larger net margin and accordingly a smaller
margin credit.
Given the length 𝑁 of the time series and the sample correlation coefficient 𝜌 to be corrected, two
time series, 𝑥𝑡 and 𝑦𝑡, of length 𝑁 with independent Gaussian random numbers (zero mean and unit
standard deviation) are constructed. From these a third time series is constructed as
𝑧𝑡 = 𝜌 𝑥𝑡 + √1 − 𝜌2 𝑦𝑡,
such that the time series 𝑥𝑡 and 𝑧𝑡 are correlated with Pearson-coefficient 𝜌.
In the next step the sample correlation 𝑟 of 𝑥𝑡 and 𝑧𝑡 is computed using exponentially weighted
moving averages (EWMA). Repeating this for 100,000 samples of 𝑥𝑡 and 𝑧𝑡 produces a distribution of
sample correlations. ECC measures the 10% quantile, 𝑞0.1, of this distribution.
Sample correlations between the pre-recorded values are linearly interpolated, i.e., given a sample
correlation 𝜌 and both the next lower and the next higher value for which data is stored in the look-up
table 𝜌< ≤ 𝜌 < 𝜌>, and 𝑟<, 𝑟> being the corrected values 𝑞0.1 for 𝜌< and 𝜌>, respectively, the
corrected value for 𝜌 is
𝑟 = 𝑟< +𝑟> − 𝑟<
𝜌> − 𝜌< (𝜌 − 𝜌<).
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3. Calculation of Spot Margin
Spot markets for commodities such as power or natural gas are different from securities markets for
a number of reasons:
- On power and natural gas spot markets transactions are concluded 24 hours a day, 7 days a
week. Due to this 24/7 trading for power and gas credit exposures on the spot markets can
arise 24/7. The credit exposures from those transactions are measured on near-to-real time
basis with the Current Exposure Spot Market (CESM) as described in chapter 3.4.
- Most of ECC’s trading participants on the spot markets are non-financial counterparties.
Payment cycles between the Clearing Member and his Trading Participants might be slower
than between financial counterparties.
- A delivery versus payment (DVP) standard cannot be employed to limit counterparty
exposures as delivery of power and natural gas takes place shortly after trading and those
commodities are not storable:
a) Delivery (nomination) of power spot transactions occurs before gate closure of the
respective Transmission System Operator (TSO), e.g., 2:30 pm CET on the day prior to
delivery for day-ahead contracts (e.g. German Power), 3011 minutes before gate closure
for intraday transactions.
b) Nomination for natural gas spot transactions occurs regularly 2 hours before gate closure.
Payment is effected on the following business day (t+1) for all transactions concluded
before 4:00 pm CET and t+2 for transactions after 4:00 pm CET.
For these reasons ECC has introduced the concept of Spot Initial Margin (IMSM) which is based on
an in-house developed margin model. The IMSM is a margin which is called for expected
transactions i.e. before any transactions are concluded and before any credit exposure has arisen. It
serves as a buffer to reduce the number of margin calls during the day and to ensure that credit
exposure (measured with the CESM) on days where margin calls are not possible (e.g. weekends)
i.e. the potential exposure from expected transaction will be covered with a high degree of
confidence.
11 On the cross border deliveries between France and Germany the lead time is 15 min only; this will become the
future lead time for all power spot transactions.
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The calculation of IMSM is based on a statistic of the daily total exposures. The daily exposure12 at
day t comprises all spot transactions that have been concluded between the accounting cut-off of the
previous ECC business day and the latest point in time where a trading participant in default would
be suspended from trading. The following graphic gives an overview of the total exposure:
For power and natural gas, ECC has to cover the full payment risk and computes the spot margin by
a time-series statistic of its exposure towards each Trading Member. ECC’s margin model for the
spot market of non-storable commodities is based on statistical analysis of the historical trading
exposure of trading participants, to estimate the 99% quantile of the exposure from spot market
transactions between two regular margin calls during a look-back period of 1 year.
Exposures from different commodities are netted as ECC only assumes the financial risk occurring
due to the trading behavior of the participant, and the settlement cycles are identical for all
commodities.
The maximum exposure from the last 20 days is used if it is greater than the exposure from the look-
back period to account for sudden changes in trading behavior. In general an absolute minimum of
30,000 Euro is applied.
The Spot Initial Margin is called with admission of a new Trading Participant and is only returned
when the trading admission is terminated and all pending payments with the trading participant have
been settled.
For emission certificates13 and other storable commodities no Spot Initial Margin is calculated as
there is no 24/7 trading. The certificates can be used in the default of a counterparty (similar to
securities) to remediate the loss, only the price-change risk has therefore to be covered. This is done
by calculating an intraday margin (Current Exposure Spot Market – CESM) on a near-to-real time
basis during the trading hours of the respective storable commodities.
12 In EUR, used EOD FX rates can be found at http://www.eurexchange.com/exchange-en/market-data/clearing-
data/risk-parameters/Haircut-and-adjusted-exchange-rate
13 Currently including all EUA, PEUA and CER contracts
Total Exposure of day t
t - 1 t t + 1
16:00 8:00 16:00 12:00 8:00
Accounting cut-off
Payment Payment Accounting cut-off
Latest possibility
for suspension
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3.1 Daily Exposures
In the following a detailed mathematical description of the variables used in the calculation of the spot
margin is given. The latest parametrization can be found in the ECC risk parameter file.
i. ECC is using several calendars
a. Calendar days 𝐷cal. This is the full calendar. All other sets are subsets of 𝐷cal.
b. ECC days 𝐷ECC = 𝐷Business_Dates ∪ 𝐷Special_Dates 14.
When counting days in a calendar, e.g. 𝑡 + 1 in 𝐷ECC, it is implied that both 𝑡 and 𝑡 + 1 are
elements of 𝐷ECC, and 𝑡 + 1 is the day after 𝑡 in that calendar15.
ii. Exposure:
𝐸𝑖(𝑡) = {∑ 𝑃𝑖(𝑠)𝑄𝑖(𝑠)|
𝑠∈𝑆
𝑆 = [(𝑡 − 1)16.00; (𝑡 + 1)12.00]; 𝑡 counted in 𝐷ECC} ,
where 𝑡 is counting ECC days and the index set 𝑆 contains timestamps16, and 𝑃𝑖(𝑠) is the
price paid by NCM 𝑖 for that trade at datetime 𝑠 and 𝑄𝑖(𝑠) the quantity bought (𝑄 > 0) or sold
(𝑄 < 0). For calendary days 𝐸𝑖(𝑡cal) = 𝐸𝑖(max𝑡≤𝑡cal
{ 𝑡 ∈ 𝐷ECC}), i.e., the most recent ECC day
counts for the calculation of exposures, e.g., Friday's exposure is the same as Saturday's and
Sunday's.
iii. The payment amount is defined similarly, however shifted in time and containing less trades,
𝑃𝐴𝑖(𝑡 + 1) = {∑ 𝑃𝑖(𝑠)𝑄𝑖(𝑠) | 𝑆 =
𝑠∈𝑆
[(𝑡 − 1)16.00; 𝑡16.00]; 𝑡 counted in 𝐷𝐸𝐶𝐶} ,
where the symbols are the same as in the definition of exposure.
iv. Spot margin: 𝑀𝑖(𝑡 + 1) is the spot margin called at ECC day 𝑡 + 1. The margin 𝑀𝑖(𝑡 + 1) is
constructed to be the actual margin available at day 𝑡 + 1.
v. Outlier: An outlier is counted, when the available margin 𝑀𝑖(𝑡) < 𝐸𝑖(𝑡) and 𝑡 is an ECC day17,
𝑡 ∈ 𝐷ECC. The probability 𝑝out is the empirical probability (frequency) over all days in a certain
test window (at ECC a business year with 250 days) and all NCMs 𝑖.
14 More information about this dates can be found in section 3.2.2
15 A more precise definition is achieved by imposing an order on the calendar such that 𝑡𝑗 > 𝑡𝑖 for all 𝑗 > 𝑖. Then
our notation of 𝑡 + 1 corresponds to 𝑡𝑖+1 if 𝑡 corresponds to 𝑡𝑖. The simplified notation is used for convenience.
16 Here, for convenience the timestamp is assumed to be a unique identifier of a member's trade, although in
ECC's settlement instructions there is a unique primary key for each trade, because, e.g., all trades belonging to
an auction are settled simultaneously. The subscript indicates the time at that particular day.
17 By construction an outlier at a calendar weekend is preceded by an outlier at a calendar working day.
Furthermore, on calendar weekends, ECC has no means of reacting to the outlier, e.g., by intra-day margin calls,
such that these outliers cannot be counted against ECC's margin methodology.
ECC Margining Page 15 Release 1.8.1 © ECC AG – part of eex group
vi. The margin efficiency
ℰ =1
𝑁NCM∑
∑ max{𝐸𝑖(𝑡); 𝑀min}𝑡
∑ 𝑀𝑖(𝑡)𝑡𝑖
is the average efficiency of the margin by the exposure over a specified time window (at ECC
a business year with 250 days). Exposures less than the minimum Margin 𝑀min are replaced
by the minimum Margin 𝑀min, because by construction these exposures do not enter the
margin algorithm and thus the margin could not have been more accurate in such a case. At
present ℰ is computed over the set 𝑡 ∈ 𝐷cal.
3.2 Algorithm to Compute the Initial Spot Margin
Each ECC day 𝑡 ∈ 𝐷ECC, an NCM's margin requirement for 𝑡 + 1 ∈ 𝐷ECC is given by
𝑀𝑖(𝑡 + 1) = max {𝜇(𝐸𝑖(𝑠))𝑆
+ 𝛼 𝜎(𝐸𝑖(𝑠))𝑆
; 𝛽 max𝑠′∈𝑆′
{𝐸𝑖(𝑠′)}; 𝑀min; 𝑀min _𝑓𝑖𝑟𝑠𝑡 ∙Ι18{𝑡+1<𝑡0+29}
} + 𝑀min _additional
The exposure is only used in the statistical component (mean plus standard deviation) if it is larger
than the minimum margin 𝑀min, otherwise it is replaced by a missing value and hence ignored. The
index set 𝑆 is given by
𝑆 = [𝑡 − 250 + 1; 𝑡] counted in 𝐷ECC.
The standard deviation is calculated using an exponentially weighting algorithm with λ=0.99 to
provide a faster adaption to recent changes in trading behavior:
𝜎(𝐸𝑖(𝑠))𝑆
= √ ∑ ((𝐸𝑖(𝑠) − 𝜇(𝐸𝑖)𝑆)2 𝜆𝑡−𝑠+1)
𝑠 ⋲ 𝑆
/ ∑ 𝜆𝑡−𝑠+1
𝑠 ⋲ 𝑆
.
To reduce the statistical error for short time series a safety add-on19 is calculated and applied to the
standard deviation depending on the number of exposures greater than 𝑀min.
where 𝐼 stands for the the indicator function
19 The security add-on (or better to say security factor for the standard deviation) is a conservative adjustment to the calculated standard deviation to cope with possible estimation errors when working with small data samples. It is obtained by calculating 𝑛 (exponentially weighted and unbiased) standard deviations of a 𝑘-sample of standard normal distributed random variables via bootstrapping and taking the 90% percentile
ECC Margining Page 16 Release 1.8.1 © ECC AG – part of eex group
Number of exposures Safety Add On I
1 n/a
2 1.64
3 1.51
4 1.44
5 1.39
… …
100 1.09
… …
250 1.069
A list of all add-ons can be found in the ECC Risk Parameter file http://www.ecc.de/ecc-en/risk-
management/margining.
The look-back index set for the maximum-part is similarly given as 𝑆′ = [𝑡 − 𝑑; 𝑡] counted in 𝐷ECC
where 𝑑 is currently set to 20. In contrast to the statistical component all exposures in 𝑆´ are used.
The component 𝑀min _𝑓𝑖𝑟𝑠𝑡 is only applied if the admission date 𝑡0 of NCM 𝑖 is closer than 30 days to
the calculation date 𝑡.
Since the exposure on calculation day t is not known completely, ECC calculates Ei(t) from all trades
after (t − 1)4pm and concluded and registered until the calculation point of time to improve the
forecast of the model. This “incomplete” exposure is often referred to as “T0-Exposure” since it
includes the most updated trades on calculation t = 0.
3.2.1 Special Holiday Adjustment
This methodology covers exposures for periods with a maximum duration of three days considering
the regularly occurring risk on weekends. However, on Easter and Christmas holidays the exposure
can increase up to five days.
To cover this risk ECC Risk controlling amends the current methodology by increasing IMSM before special holidays to cover the additional exposure on the extra non TARGET2 days. The following methodology for a conservative estimation of possible exposures on dates20 prior the holiday period is implemented:
of the values. This procedure is repeated for 𝑘 = 1 to 𝑘 = 255 with 𝑛 = 100.000 to get a security factor for every possible sample size of exposure values.
ECC Margining Page 17 Release 1.8.1 © ECC AG – part of eex group
𝐸𝑡0=𝜆 × 𝜇(�̂�𝑠)𝑆
+ 𝑚𝑎𝑥𝑠′∈𝑆′
{�̂�(𝑠′)}
where λ is 2 for a five day period or 1 for a four day period respectively. 𝜇(�̂�𝑠)
𝑆 describes the mean of
all exposures for single days20 of the last calendar year which are greater than the minimal margin.
3.2.2 Additional Exposure Dates
The inclusion of the additional exposure dates21 is a direct consequence of the special holiday
adjustment.
As the holiday adjustment is used to cover exposures for periods larger than three days it is not
necessary any more to include exposures into the IMSM calculation containing trading data for more
than three days as well. In order to “split” these bigger exposures the additional exposures date were
added to the calendar being used to determine the exposure ranges.
Example: Easter 2016
Calendar date Current Calendar Exposure New Calendar Exposure
Wednesday, 2016/03/23 Yes (2016/03/22 - 2016/03/24) Yes (2016/03/22 - 2016/03/24)
Thursday, 2016/03/24 Yes (2016/03/23 - 2016/03/29) Yes (2016/03/23 - 2016/03/25)
Friday, 2016/03/25 n/a Yes (2016/03/24 - 2016/03/28)
Saturday, 2016/03/26 n/a n/a
Sunday, 2016/03/27 n/a n/a
Monday, 2016/03/28 n/a Yes (2016/03/25 - 2016/03/29)
Tuesday, 2016/03/29 Yes (2016/03/24 - 2016/03/30) Yes (2016/03/28 - 2016/03/30)
3.2.3 Consideration of delivery risk in the exposure generation
For markets where ECC faces a delivery risk, i.e. where ECCs physical nomination can be cancelled
by external parties the delivery risk is included in the exposure generation by taking a relative
portion22 of the financial exposure.
Example:
20 Tuesday, Wednesday, Thursday
21 which can be found in the ECC Risk Parameter File
22 which can be found in the ECC Risk Parameter File
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For the UK market sellers are facing a curtailment risk by the TSO. In order to cover the potential
payments of imbalances 30% of the financial exposure is taken into account.
Exposure OLD = -1000 GBP
Exposure NEW = -1000 GBP * -0.3 = 300 GBP
3.2.4 Example for exposure aggregation
Consider the following example of one weeks' trading: Day and time indicate when a trade has been
concluded. The trade value is the traded quantity times the price. All trades up until the booking cut
are included in next day’s payment amount. ECC's exposure towards the trading participant contains
all trades between the last booking cut and the next morning (12:00). This quantity is the basis of
ECC's Spot Margin.
ECC Margining Page 19 Release 1.8.1 © ECC AG – part of eex group
ECC 4pm Booking Cut Latest possibility for suspension 11:45 am
Day Time Trade Value (k€) Exposure PaymentAmount
Mo 22:00 -56.00 0.00
Tue
12:00
165.00 12:00 233.00
16:00 98.00
21:00 -110.00
Wed
12:00
63.00 275.00 13:00 29.00
16:00 108.00
20:00 36.00
Thu
12:00 226.00
27.00 13:00 112.00
16:00 34.00
19:00 44.00
Fri
12:00 783.00
182.00 13:00 190.00
16:00 122.00
22:00 346.00
Sat
12:00 55.00
14:00 -3.00
21:00 -31.00
Sun
13:00 4.00
15:00 86.00
21:00 -30.00
Mo
12:00
737.00 356.00 13:00 192.00
16:00 28.00
21:00 90.00
Tue 12 :00 647.00
In order to better illustrate the IMSM algorithm and how the exposures are processed by the daily
margin calculation ECC provides an IMSM calculator as an excel version. The current version can be
downloaded on the ECC website http://www.ecc.de/ecc-en/risk-management/margining.
ECC Margining Page 20 Release 1.8.1 © ECC AG – part of eex group
3.3 Calibration of Parameters
The algorithm used to calculate ECC's spot margin has four free parameters: 𝛼, 𝛽, 𝑀min _𝑓𝑖𝑟𝑠𝑡 and the
length of the look-back period 𝑑. These parameters have been determined by a calibration on the
latest one-year time-window at the initial calibration date (September 2014). The calibration is an
optimization algorithm that maximizes the margin efficiency ℰ while keeping the outlier probability
𝑝out ≤ 1%.
The current values of the parameters 𝛼, 𝛽 and 𝑑 can be found in the risk parameter file on the
website.
3.4 Current Exposure Spot Market
On spot power and natural gas markets trading takes place 24/7. During an ECC business day
ECC's current, i.e. intraday, risk will be reflected in the “Current Exposure Spot Market” (CESM).
The CESM refers to the already accrued trade risk exposure, the remaining spot risk exposure from
e.g. certificate-based products, and delivery risk which is not included in the IMSM buffer.
The interpretation of the CESM at day 𝑡 depends on the point in time when it is monitored:
Intraday CESM until 18.00 CET: The CESM describes the intraday monitor value for the net
payment amount on t + 1. In addition, the CESM includes unresolved delivery risk for UK Power as
well.
End of Day CESM: The CESM describes the already accrued payment amount for trades conducted
after 16:00 CET with payment on t + 2 for products not included in the IMSM buffer. In addition,
unresolved delivery risk of is included as well. If financial settlement is deferred (e.g. due to non-
Target2 holidays in the corresponding market) the EOD CESM additionally includes these deferred
payments.
This margin is uploaded intraday into the EUREX Clearing system and is updated every 10 minutes.
The margin will be released, as soon as the corresponding payments have been instructed in the
payment system at the end of the business day (currently 18:00 CET).It is reported in EUREX's
reports so Clearing Members can detect accumulating exposure on the spot market intraday.
The time schedule is illustrated in the following graph23:
23 Note: As the figure is already complex and is intended to show only timing, only the case is shown where
exposure equals payments.
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For all unsettled gas and power transactions and net sells of EUA and similar products24 the current
exposure is the net payment amount of all yet unpaid transactions. For net purchases of EUA and
similar storable products, the exposure is the price change risk, encoded in a margin parameter
calculated along the lines of section 2.1.1 based on the daily returns from EEX's settlement prices
for emission certificates.
For market areas where ECC faces a curtailment risk (e.g. by trading on a non virtual balancing point
or by a local limit implementation of the TSO) or currency risk the margin parameter will be adjusted
to cover all possible financial and physical balancing actions ECC will execute. A list of adjusted
margin parameters for affected market areas can be found in the ECC risk parameter file.
The amount of CESM being reported is the sum of all current exposures of a member:
24 Storable products like EUA, CER, Guarantees of Origin
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Current
Exposure
Spot Market
Max (0; Storable Commodities + Non-Storable Commodities)
Storable
Commodities ∑ {
𝑃𝐴𝑖 ∙ 𝑀𝑃𝑖 𝑖𝑓 𝑃𝐴𝑖 > 0𝑃𝐴𝑖 𝑖𝑓 𝑃𝐴𝑖 < 0
𝑛
𝑖=1
𝑖 Storable Commodity, e.g. EUA, CER
𝑃𝐴𝑖 Outstanding payments resulting from trading
Storable Commodity 𝑖
𝑀𝑃𝑖Margin Parameter for Storable Commodity 𝑖
Storable
Commodites
with
additional
risk drivers
∑ |𝑃𝐴𝑗| ∙ 𝑀𝑃𝑗
𝑛
𝑗=1
𝑗 Non-Storable Commodity, e.g. POWER,
NATGAS
|𝑃𝐴𝑗| Absolute value of outstanding payments
resulting from trading Non-Storable Commodity 𝑗
Non-Storable
Commodities ∑ 𝑃𝐴𝑗
𝑛
𝑗=1
𝑗 Non-Storable Commodity, e.g. POWER,
NATGAS
𝑃𝐴𝑗 Outstanding payments resulting from trading
Non-Storable Commodity 𝑗
The CESM is floored at 0 so no credit will be granted to other margin classes. The current values of
the used margin parameters can be found in the risk parameter file on the website.
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4. Financial Resources
According to EMIR Article 42 a CCP shall maintain a pre-funded default fund to cover losses that
exceed the losses to be covered by margin arising from the default of a clearing member. The CCP
shall establish a minimum amount below which the size of the default fund is not to fall under any
circumstances. A CCP shall establish the minimum size of contributions to the default fund and the
criteria to calculate the contributions of the single clearing members. The contributions shall be
proportional to the exposures of each clearing member.
According to EMIR Article 43 a CCP shall maintain sufficient pre-funded available financial resources
to cover potential losses that exceed the losses to be covered by margin requirements and the
default fund. The margin requirement, the default fund and the other financial resources combined
shall at all times enable the CCP to withstand the default of at least the two clearing members to
which it has the largest exposures under extreme but plausible market conditions.
The financial resources of ECC are therefore comprised of:
𝑓𝑖𝑛𝑎𝑛𝑐𝑖𝑎𝑙 𝑟𝑒𝑠𝑜𝑢𝑟𝑐𝑒𝑠
= 𝑚𝑎𝑟𝑔𝑖𝑛 𝑟𝑒𝑞𝑢𝑖𝑟𝑒𝑚𝑒𝑛𝑡 + 𝑑𝑒𝑓𝑎𝑢𝑙𝑡 𝑓𝑢𝑛𝑑 + 𝐸𝐶𝐶 𝑑𝑒𝑑𝑖𝑐𝑎𝑡𝑒𝑑 𝑜𝑤𝑛 𝑟𝑒𝑠𝑜𝑢𝑟𝑐𝑒𝑠
+ 𝑜𝑡ℎ𝑒𝑟 𝑓𝑖𝑛𝑎𝑛𝑐𝑖𝑎𝑙 𝑟𝑒𝑠𝑜𝑢𝑟𝑐𝑒𝑠
4.1 Default Waterfall
Calling margins is ECC's first mechanism to protect itself against the risks from a clearing member’s
default. The margin requirement is the capital equivalent of the available collateral (including haircut,
capped at the margin requirement as per the current margin method) at the time of the stress
calculation. As a first (conservative) approximation it is assumed that, in a stress case, excess
collateral would largely be reclaimed prior to default as for banks insolvency is largely triggered by
illiquidity, such that this conservative assessment of the margin requirement is plausible.
The default fund covers losses exceeding the losses to be covered by margins. The clearing
members contribute to the default fund in proportion to their exposure, which is equivalent to the
margin provided. The default fund has to be replenished up to its contribution at the time of a default.
The default fund has sufficient resources to cover losses arising out of a default of the two clearing
member to whom ECC has the largest exposure to. The total volume of the default fund is
determined by ECC based on daily stress tests. The stress tests simulate the default of one or more
clearing members under the assumption of extreme but plausible market conditions as defined in the
ECC Stress Test Framework.
Moreover, ECC holds dedicated own resources to cover potential losses exceeding the ones covered
by the margin requirements and the default fund contributions of the defaulting clearing member.
Dedicated own resources are freely available and amount to 25% of the capital requirements defined
under §16 EMIR. If ECC’s dedicated own resources should fall below the limit required by EMIR,
ECC will reinstate sufficient capital within one month at the latest.
The combined resources of margins, default fund and dedicated own resources are sufficient to
cover losses arising out of a default of the two clearing members to whom ECC has the largest
exposure to under market definitions defined in the ECC Stress Test Framework.
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ECC may hold additional financial resources (other financial resources) to cover potential losses
exceeding the resources described above. Other financial resources are defined as the part of the
ECC's own capital not needed to comply with the minimum requirements under supervisory
legislation (solvency ratios, liquidity ratios).
The sequence of usage of the financial resource in the default waterfall is stipulated as follows:
Only if the loss from the default of a member exceeds its individual margins, individual default fund
contribution and ECC dedicated own resources, the default fund contribution of other non-defaulting
members will be used. Individual margins of non-defaulting members are never used to cover any
losses of defaulting members. ECC does not use any powers of assessment or tear up of existing
contracts.
1. ) Indiviual Margins, excess collateral or other amounts due to the defaulting member
2. ) Default fund contribution of defaulting member
3.) ECC dedicated own resources
4.) Default fund contribution of non-defaulting members
5.) ECC other financial resources
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5. Margin Reports
Margin Requirements are reported end-of-day in Eurex® report CC050.
Report Name Content Availability
CC050 Margin Overview End-of-Day overview of all calculated ECC
Margin Requirements.
Daily before the start of new ECC
business day via Eurex®
Chapter 7 describes the detail reports that can be created using PC SPAN®.
Within margin reports the following abbreviations are used: Shortcut Margin
SPAN SPAN® Initial Margin
IMSM Spot Margin (CESM Buffer)
UKPF Delivery Margin for delivery instructions of expired UK Power Futures
Product Families: F5BM, F5PM, F6BM
HUPF Delivery Margin for delivery instructions of expired Hungarian Power Futures
Product Families: F8BM, F8PM, F8B1-F8BM
NLPF Delivery Margin for delivery instructions of expired NL Power Futures
Product Families: F4B1-F4B5
AMPO Additional Margin for financial Power contracts expiring before the final
settlementprice is determined. The margin is equal to the SPAN margin of the
contract. The margin will be released on the next payment day after the final
settlement price was calculated.
AMCO Additional Margin for a coal contract expiring on a EEX holiday where the final
settlementprice is not determined. The margin is equal to the SPAN margin of the
contract. The margin will be released on the next payment day after the final
settlementprice was calculated.
AMEM Additional Margin for emisson contracts, which is called for the buy- side only in
order to cover the time period between contract expiry and delivery. The margin is
equal to the SPAN margin of the contract. The margin will be released with the
payment of the delivery day.
NLGF Delivery Margin for delivery instructions of expired TTF Natural Gas Futures
Product Families: G4W1-G4W5
NBPF Delivery Margin for delivery instructions of expired NBP Natural Gas Futures
Product Families: G9BM
CEGF Delivery Margin for delivery instructions of expired CEGH Natural Gas Futures
Product Families: G7BM
DMEM Delivery Margin Emissions Certificates and storable commodities
CESM Current Exposure Spot Market
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6. SPAN Calculation
ECC uses the standard SPAN®25 methodology to account for portfolio effects on derivatives markets.
The methodology allows ECC to optimally align margin requirements with risk, thereby realizing
efficient margining. ECC updates SPAN® risk parameters daily which are available on ECC’s
homepage for download. ECC recognizes the diversification effect in large portfolios by granting
margin credits of up to 99% for opposing positions in highly correlated products.
6.1 Combined Commodity
Products (futures and options) with the same underlying, load profile, delivery period and maturity
form a combined commodity, e.g. all power futures of the same delivery area and delivery period with
the same maturity including all option series of the same maturity form a combined commodity26.
6.2 Scan Risk
SPAN® uses a configurable range of price and volatility movements to calculate the worst-case loss
of a combined commodity. SPAN® comes with 16 pre-defined scenarios of combinations of price and
volatility movements over an assumed liquidation period; at ECC these are used without further
customization. The scenarios are so-called scan points, each of which is characterized by a price
change (multiple of price scan range), volatility change (multiple of volatility scan range) and the
weight attached to the scan point. In the case of futures, the worst-case loss is determined by the
price scan range only. To comply with standard methods, ECC bases this price scan range on the
single margin parameter defined before.
𝑃𝑟𝑖𝑐𝑒 𝑆𝑐𝑎𝑛 𝑅𝑎𝑛𝑔𝑒 = ℳ𝑋 ⋅ 𝐶𝑜𝑛𝑡𝑟𝑎𝑐𝑡𝑉𝑜𝑙𝑢𝑚𝑒
For simplicity, the term price scan range is also referred to as scan range. For options, ECC sets the
price scan range to the price scan range of the underlying, uses a look-ahead period according to the
assumed liquidation period (i.e. the time to maturity is decreased by the liquidation period) and an
adequate volatility scan range. In SPAN® Options are priced using the Black76-model27. The value of
the volatility scan range, the appropriateness of the 16 scenarios and the inclusion of interest-rate-
risk are determined by Risk Controlling and are subject to at least annual validation.
25 SPAN® being short for The Standard Portfolio Analysis of Risk system is a methodology that calculates margin
requirements by analyzing the "what-ifs" of different market scenarios. Developed and implemented in 1988 by
Chicago Mercantile Exchange (CME), SPAN was the first system ever to calculate margin requirements
exclusively on the basis of overall portfolio risk at both clearing and customer level. In the years since its inception,
SPAN has become the industry standard for portfolio risk assessment.
26 Due to technical constraints at the Clearing Members' vendors a combined commodity across two exchanges
is not possible; the same effect is achieved by setting the intercommodity spreads to 1.
27 Black, Fischer. The pricing of commodity contracts, Journal of Financial Economics 3 167-179 (1976)
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These scenarios are applied to all products of each portfolio. The scenario with the greatest loss is
called active scenario and is considered for the calculation of the SPAN® Initial Margin. The scan risk
is calculated by multiplying the active scenario loss by the net position. The scan risk of a combined
commodity is calculated by summing over the respective scan risks of the constituent product
families.
6.3 Volatility Scan Range
The volatility scan range is the expected change of the implied volatility of an option over the
assumed liquidation period. It is expressed as percentage change from the current implied volatility of
the option. The volatility scan range is determined from analyzing the daily changes in implied
volatility across all existing liquid28 options with the same underlying (across all maturities and
strikes). The maximum day-to-day change (rounded up to the next 10%) is then used as volatility
scan range for all options.
6.4 Short-Option Minimum (SOM)
For short options that are deep out of the money, the theoretical risk calculated can be near to zero.
In market situations where the underlying price changes significantly these options may move into-
the-money and may generate large losses for holders of short positions in these options. Therefore a
minimum margin requirement for net short positions in options is implemented, called short option
minimum. If the short option minimum of a combined commodity exceeds the scan risk after
spreading, it constitutes the SPAN® Initial Margin of the combined commodity. The short-option
minimum is subject to annual validation.
6.5 Spreads
A spread contains offsetting positions in correlated instruments. Due to ECC’s product portfolio
offering arbitrage-free prices for futures in months/quarters/years, ECC uses not only correlation to
form regular spreads but also arbitrage-free prices to form so-called perfect spreads. Both kinds of
spreads allow ECC to reduce margin requirements without compromising risk coverage. Contracts in
delivery are not included in spreading.
6.5.1 Perfect Spreads
Opposing positions with the same underlying and completely overlapping delivery periods, which
differ only in delivery profile or delivery period, are called perfect spreads. Such positions are nearly
risk free – i.e. the daily variation margin of all positions in a perfect spread is zero – because the
28 Liquid Options are all options that have been traded at least once
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settlement prices are arbitrage free. To account for differences from rounding effects the margin
credit is set to 99%. Thus, the intercommodity credit for each position in a perfect spread is
𝐼𝑛𝑡𝑒𝑟𝑐𝑜𝑚𝑚𝑜𝑑𝑖𝑡𝑦 𝐶𝑟𝑒𝑑𝑖𝑡 = 𝑆𝑐𝑎𝑛 𝑅𝑖𝑠𝑘 ⋅ 0.99
Perfect spreads can contain different combined commodities.
Perfect spreads are obtained by decomposing all products in subproducts, such as years in
seasons/quarters/months, seasons in quarters and months, quarters in months, base in peak and
offpeak. The decomposition is implemented using a Chomsky-type-2 algorithm.
6.5.2 Regular Spreads
Regular spreads exploit the correlation between time series to reduce the margin requirement. The
granted margin reduction is calculated in SPAN using the credit as introduced in section2.2.
Credits less than 0.01% are deleted, and the maximum applied margin credit is 99%.
If a portfolio consists of two opposing positions 𝑋 and 𝑌, the intercommodity credit for each of both
positions is given by
𝐼𝑛𝑡𝑒𝑟𝑐𝑜𝑚𝑚𝑜𝑑𝑖𝑡𝑦 𝐶𝑟𝑒𝑑𝑖𝑡 = min (𝑆𝑐𝑎𝑛 𝑅𝑖𝑠𝑘𝑋, 𝑆𝑐𝑎𝑛 𝑅𝑖𝑠𝑘𝑌) ⋅ 𝑀𝑎𝑟𝑔𝑖𝑛 𝐶𝑟𝑒𝑑𝑖𝑡
Extraction of regular spreads from portfolio data using the margin credits given in the span-file is
done by the SPAN®-software.
6.6 SPAN Initial Margin
To summarize, the SPAN® initial margin is calculated per combined commodity in the following steps:
1. Calculation of the overall scan risk for each combined commodity.
2. The scan risk is then reduced by the intercommodity credits to reflect the reduced risk in
portfolios with opposing positions. This process is called spreading. Perfect spreads are applied
first. Then ordinary spreads are applied to the portfolio in descending order of intercommodity
credit. If necessary, the short option minimum is applied afterwards.
3. The resulting amount per portfolio is called SPAN® initial margin.
6.7 Delivery Margin
Delivery Margin (DM) is called for positions in physically-settled power and natural gas futures during
the delivery period on the day after the expiry of the contract and for net short positions in storable
commodities two business days before expiry of the contract.
The Delivery Margin for power and natural gas futures is given by29:
DM Power / Natural Gas = Scan Range Front_Month ×Expiry Month Factor × ∣Net Position∣
The Expiry Month Factor is set as introduced in section 2.1. It should be noted that the reduction in
Contract Volume over the delivery month is not considered in the calculation of the Delivery Margin.
29 The Scan Range of the last trading day before the expiry date is used
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For power and natural gas futures for which positions are kept in the EUREX® system during delivery,
the Delivery Margin is reported under the future’s respective Margin Class (e.g. HUPF for Hungarian
Power Futures).
The Delivery Margin for storable commodities is given by:
DM Storable Commodities = Last Spot Price *(1+HC Storable Commodities)* Volume * ∣Net Short Position∣
Each holder of an open short position in storable commodities such as emission rights or guarantees
of origin is obliged to pre-deliver the respective commodities to ECC's storable commodities account
before the settlement day of the position. In case of a shortage of holdings ECC will demand
securities in the form of a Delivery Margin. ECC calculates the Delivery Margin two business days
before expiry of the contract and adjusts the Delivery Margin on a daily basis until expiry of the
contract. ECC will mark-to-market the exposure from the net short balances intraday and add a
haircut for potential fluctuations in market value. The current value of this haircut can be found in the
risk parameter file on the website. The Delivery Margin for storable commodities is reported under
the Margin Class DMEM.
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Example (using the parameters as of 01.01.2014)
Power and Natural Gas Future Delivery Margin:
Contract F8BM 201207
Net Position 10
Scan Range 4017.60 €
Expiry Month Factor 2.5
Delivery Margin 10 * 4017.60 * 2.5 = 100,440.00 €
Emission Certificates Future Delivery Margin:
Last Spot Price 12 €/t
Net Short Position 10
Contract Size 1000 t
Delivery Margin 12 *1.3 * 10 * 1000 = 156,000.00 €
6.8 Premium Margin and Additional Collateral
At ECC, options are not subject to variation margin. Instead a premium margin is defined as the
product of net position, contract size, and current option settlement price. For short options, the
premium margin is called daily: for long options, the premium is credited to the member's account but
not paid out.
EMIR Article 46 (2) allows the acceptance of the underlying of a derivative or the financial instrument
that gives rise to a risk to be used as collateral (additional collateral). Currently, ECC accepts EUA as
collateral, which is applied similar to premium margin i.e. an additional collateral amount reduces the
margin requirement. Different models are offered which have to be selected by the Clearing Member:
# Formula per selected Model incl. Risk Management Limits
1 := Min ( Available Collateral Value ; 0)
2 := Min ( Available Collateral Value ; x % * ReqBASE ; y € ; ReqIMSM )
3 := Min ( Available Collateral Value ; x % * ReqBASE ; y € ; ReqIMSM + ReqSPAN )
4 := Min ( Available Collateral Value ; x % * ReqBASE ; y € ; ReqIMSM + ReqSPAN + ReqPREM )
5 := Min ( Available Collateral Value ; x % * ReqBASE ; y € ; ReqIMSM + ReqSPANcapped )
6 := Min ( Available Collateral Value ; x % * ReqBASE ; y € ; ReqSPANcapped )
Where:
ReqBASE
:= ReqIMSM
+ ReqSPAN
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ReqSPANcapped
:= Min ( Min ( PiecesAvailable
; Net Short Future Position ) * ( Value * (1 – Haircut ) ) ;
ReqSPAN
)
Concentration limits on ECC level according to the current concentration risk policy apply to limit the
maximum share of EUA that can be used as collateral.
6.9 80% Margin CAP
ECC calculates margin on a gross basis for each Clearing Member (i.e. without taking into account
netting effects between different clients). Regular Spreads are calculated only for opposing positions
(i.e. long vs. short) and the margin reduction is based on the historical behavior of the regular
spreads. If the margin reduction after all those measures still exceeds the 80% cap set by RTS 153
Article 27 (4), a supplementary margin is calculated. According to RTS 153 Article 27 (4), “where
portfolio margining covers multiple instruments, the amount of margin reductions shall be no greater
than 80 % of the difference between the sum of the margins for each product calculated on an
individual basis and the margin calculated based on a combined estimation of the exposure for the
combined portfolio”.
ECC has a two-step approach: In the first step, margins are calculated on a gross basis and on a net
basis for each Clearing Member. The difference between the gross and net margin is the highest
possible margin reduction for each Clearing Member. In the second step the supplementary margin is
calculated using the current initial margin, the gross margin and the net margin for each Clearing
Member (CM). If the margin reduction granted by the current initial margin exceeds 80% of the
highest possible margin reduction, the supplementary margin ensures coverage of this
exceedance.Step 1: The gross margin is the SPAN® Initial Margin without spreading except for
Perfect Spreads. Perfect Spreads are applied to risk-free positions and therefore a 100% margin
reduction is allowed. The gross margin of a Clearing Member is the sum of the gross margins of its
accounts (proprietary and Non Clearing Members accounts):
𝐺𝑟𝑜𝑠𝑠𝑀𝑎𝑟𝑔𝑖𝑛𝐶𝑀 = ∑ 𝐺𝑟𝑜𝑠𝑠𝑀𝑎𝑟𝑔𝑖𝑛𝐴𝑐𝑐𝑜𝑢𝑛𝑡𝑠
The net margin is calculated similarly to the regular SPAN® Initial Margin but Margin Credits are
granted for opposing and concurrent positions and there is a netting of all positions on Clearing
Member level (non-segregated collateral). The net margin represents the portfolio VaR of a Clearing
Member.
Step 2: The difference between the gross and net margin is expected to be the highest possible
margin reduction of a Clearing Member. ECC now calculates the lower margin limit for each Clearing
Member:
𝐿𝑜𝑤𝑒𝑟 𝑀𝑎𝑟𝑔𝑖𝑛 𝐿𝑖𝑚𝑖𝑡𝐶𝑀 = 𝐺𝑟𝑜𝑠𝑠𝑀𝑎𝑟𝑔𝑖𝑛𝐶𝑀 – (𝐺𝑟𝑜𝑠𝑠𝑀𝑎𝑟𝑔𝑖𝑛𝐶𝑀 − 𝑁𝑒𝑡𝑀𝑎𝑟𝑔𝑖𝑛𝐶𝑀) ⋅ 0.8
= 0.2 𝐺𝑟𝑜𝑠𝑠𝑀𝑎𝑟𝑔𝑖𝑛𝐶𝑀 + 0.8 𝑁𝑒𝑡𝑀𝑎𝑟𝑔𝑖𝑛𝐶𝑀
If the current initial margin of a Clearing Member is less than the lower margin limit, a supplementary
margin is calculated at the end of each day to ensure that the 80% limit is observed:
𝑆𝑢𝑝𝑝𝑙𝑒𝑚𝑒𝑛𝑡𝑎𝑟𝑦𝑀𝑎𝑟𝑔𝑖𝑛𝐶𝑀 = max{𝐿𝑜𝑤𝑒𝑟 𝑀𝑎𝑟𝑔𝑖𝑛 𝐿𝑖𝑚𝑖𝑡𝐶𝑀 − 𝐶𝑢𝑟𝑟𝑒𝑛𝑡 𝐼𝑛𝑖𝑡𝑖𝑎𝑙 𝑀𝑎𝑟𝑔𝑖𝑛𝐶𝑀; 0}
The supplementary margin is introduced as additional minimum requirement for the default fund.
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6.10 Concentration Risk
Concentration risk is determined by evaluating the liquidity for each class of instrument (ratio of the
net position in a portfolio to the market capacity defined as the number of contracts traded during a
trading day). To reflect the level of concentration in a portfolio the estimated open interest weighted
liquidation period in relation to the standard liquidation period of 2 days shall be used to scale the
required margin by member.
For each Clearing Member and Non Clearing Member a concentration factor 𝑐 is determined as
ratio √𝑙𝑒/𝑙0, where 𝑙𝑒 is the mean open interest weighted liquidation period over all positions per
member30 and 𝑙0 is the minimum liquidation period of 2 days as required by ESMA Article 26.The
applied concentration factor for a member is then the minimum factor of this members Clearing
Member and the members own concentration factor:
𝑐applied = max(min (𝑐𝐶𝑀; 𝑐𝐴𝑐𝑐𝑜𝑢𝑛𝑡); 1) − 1
The SPAN initial margin requirement 𝑀𝑅 for each Non Clearing Member account of a Clearing
Member is scaled with the applied concentration factor to determine the concentration risk
component (CONR):
𝐶𝑂𝑁𝑅𝐴𝑐𝑐𝑜𝑢𝑛𝑡 = 𝑀𝑅𝑆𝑃𝐴𝑁;𝐴𝑐𝑐𝑜𝑢𝑛𝑡 ∙ 𝑐applied
The approach ensures that netting effects on Clearing Member level are considered (excluding
individually segregated members with a backup CM) and at the same time the concentration risk for
each instrument is taken into account.
The CONR component is calculated on a daily basis and is part of the minimum default fund
contribution of every Clearing Member.
30 For each Clearing Member 𝑙𝑒 is the average over all portability scenarios
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7. Sample Calculations with PC SPAN®
7.1 Prerequisites
To calculate SPAN Initial Margin, the following requirements have to be fulfilled:
1) The PC SPAN® tool can be downloaded from CME free of charge. This can be accomplished
in the following way:
a. Go to https://login.cmegroup.com/ and create a new account b. Login and navigate to Portfolio&Risk/CoreMarginCalculator/Download
Center/Software c. Choose the Version of PC SPAN suiting your needs (in general the latest version)
2) Download and install the newest PC SPAN® Orgmaster, which is available on the CME
public Span FTP site, (ftp://ftp.cmegroup.com/pub/span/util/ ; no login required)
3) The current SPAN® parameter file can be obtained from:
a. ECC’s FTP site (ftps.ecc.de, login required)
b. ECC’s website (http://www.ecc.de/en/risk-management/reports-files, no login required)
c. CME’s FTP site (ftp://ftp.cmegroup.com/span/data/ecc/; no login required)
It should be noted that only the SPAN® parameter file on ECC’s FTP site contains the full set
of settlement prices.
4) A position file in the SPAN® format or the user can enter positions manually
The example files are available on ECC’s website (http://www.ecc.de/en/risk-
management/margining) as of 4th July 2012 (which has been generated on 3rd July 2012)
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7.2 Loading SPAN® Parameters
The first step is to load parameter files into PC SPAN® via “File > Load File(s)”.
Detailed information concerning products and exchanges can be viewed by expanding the relevant
exchange path.
7.3 Building-Portfolio
Portfolios can be loaded via “File → Open Portfolio”. Select the specific SPAN® position file or enter
the positions manually. Click on “File → New Portfolio” and enter details of your account. The options
(“Qualified Institutional Buyer” and “Normal for GSCIER”) are not used for ECC margin calculation
and should be left unchanged. Please double check that Euro is used as your portfolio currency or
otherwise select Euro as your portfolio currency. By adjusting the entries for native and conversion
currency to “EUR” on the “Tools – Preferences – Calculation Parameters” tab, no change for portfolio
currency will be necessary.
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By selecting the “Positions” tab, you can choose the specific products and type in the actual position
size. In the example the ECC Test Positions (2012-07-03) contain five positions of F1BQ with
settlement date Oct 2012:
By checking the boxes “Contracts with Positions” and “All Positions for Selected Exchange Complex”
you get a complete overview of all current positions.
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7.4 Calculating SPAN® Initial Margin Requirements
Choose “Calculate Portfolio(s) Requirement” from File Menu either for all portfolios or just for one
specific portfolio by selecting a portfolio and right clicking and then selecting “calculate requirements”.
The different components of the SPAN® Initial Margin and the Net Option Value (for portfolios with
option positions) are shown in a popup window:
They can also be accessed by selecting the specified portfolio under the “Performance Bond
Requirement” tab.
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7.5 Checking Margin Requirements
A detailed margin calculation can be viewed, printed and exported by selecting the tab “Reports“. The
Scan Risk can be obtained within “Scan Tiers” section which shows the result from the 16 scenarios:
The report “Inter Tiers“ shows “Inter Commodity Credit“ per Combined Commodity (in the “Intercomm
Credit” column):
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“Original Delta” and “Remaining Delta” denote position sizes before and after spreading.
In summary, the SPAN® Initial Margin Requirement (without Available Net Option) consists of all
“Scan Risks” less the sum of all “Intercommodity Credits”, except the lines denoted with “Overall” in
the column “Tier#”.