# Commission Delegated Regulation (EU) No 528/2014Show full title

Commission Delegated Regulation (EU) No 528/2014 of 12 March 2014 supplementing Regulation (EU) No 575/2013 of the European            Parliament and of the Council with regard to regulatory technical standards for non-delta risk of options in the standardised            market risk approach (Text with EEA relevance)         

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U.K.

# Commission Delegated Regulation (EU) No 528/2014                     

# of 12 March 2014

# supplementing Regulation (EU) No 575/2013 of the European Parliament and of the Council with regard to regulatory technical                        standards for non-delta risk of options in the standardised market risk approach                     

# (Text with EEA relevance)

THE EUROPEAN COMMISSION,

Having regard to the Treaty on the Functioning of the European Union,

Having regard to Regulation (EU) No 575/2013 of the European Parliament and of the Council of 26 June 2013 on prudential requirements                           for credit institutions and investment firms and amending Regulation (EU) No 648/2012(1), and in particular the third subparagraph of Article 329(3), the third subparagraph of Article 352(6) and the third subparagraph                           of Article 358(4) thereof.                        

Whereas:

(1)In light of the mandate contained in Regulation (EU) No 575/2013 to develop a range of methods to reflect other risks, apart                              from delta risk, in the own funds requirements of institutions, ‘in a manner proportionate to the scale and complexity of                              institutions’ activities in options and warrants', it is appropriate to design approaches with different levels of sophistication                              and risk sensitivity which may be suitable for different profiles of institutions. It is, therefore, appropriate to provide                              for the following three approaches in order of increasing complexity to measure non-delta risks of options and warrants: (i)                              the simplified approach; (ii) the delta-plus approach; and (iii) the scenario approach. This framework based on three approaches                              largely implements the non-delta-risk framework provided for by the Basel Committee for Banking Supervision (BCBS), with the                              necessary adjustments to take into account Regulation (EU) No 575/2013. That has the added benefit of ensuring consistency                              between Union rules and internationally agreed minimum standards.

(2)Given it is necessary to provide institutions that apply the delta-plus approach the possibility of treating non-continuous                              options in a more risk-sensitive way, institutions should be able to combine the approaches provided for the measurement of                              the risk of options and warrants under certain conditions, not only within groups but also within single legal entities. Nevertheless,                              in order to avoid the possibility of selective application of approaches by institutions with the view to minimizing their                              own funds requirements, the combination of approaches on an individual basis should only be allowed on the condition that                              institutions specify the scope of application of each approach before beginning to use it, so as to apply it consistently                              over time.

(3)Non-delta risks related to options and warrants can include, but are not limited to, risks arising from changes in the instrument's                              gamma referred to as ‘gamma risk’ or ‘convexity risk’ as set out in Article 4(1)(a) of this Regulation, risks arising from                              changes in its vega referred to as ‘vega risk’ or ‘volatility risk’ as set out in Article 4(1)(b) of this Regulation, risks                              arising from changes in interest rates referred to as ‘interest rate risk’ or ‘rho risk’, nonlinearities which cannot be captured                              by gamma risk and the risk of implied correlation on basket options or warrants. Of those risks, only the gamma and vega risks                              are of such materiality that justify the imposition of own funds capital requirements, even for the more complex institutions                              and, therefore, only those types of risks should be covered in the calculation of own funds requirements. Regulation (EU)                              No 575/2013 requires institutions to obtain prior permission from their competent authority to use an internal model to calculate                              delta. However, the use of non-delta risk approaches is to be monitored and assessed under the supervisory review and evaluation                              process of institutions set out by the provisions of Directive 2013/36/EU of the European Parliament and of the Council(2). Furthermore, the greater complexity of the scenario approach necessitates closer monitoring by competent authorities and                              hence, its use by institutions should be subject to specified conditions of application, both prior to its first use and on                              an on-going basis.

(4)Given that Article 330 of Regulation (EU) No 575/2013 concerning the treatment of fixed-to-floating interest-rate swaps applies                              only for interest rate risk purposes, it should not be taken into consideration for certain financial instruments such as                              swaptions.

(5)The provisions in this Regulation are closely linked, since they all deal with the measurement of non-delta risks of options                              and warrants related to different underlyings. To ensure coherence between those provisions, which should enter into force                              at the same time, and to facilitate a comprehensive view and compact access to them by persons subject to those obligations,                              it is desirable to include all the regulatory technical standards required by Regulation (EU) No 575/2013 on this matter in                              a single Regulation.

(6)This Regulation is based on the draft regulatory technical standards submitted by the European Banking Authority to the Commission.

(7)The European Banking Authority has conducted open public consultations on the draft regulatory technical standards on which                              this Regulation is based, analysed the potential related costs and benefits and requested the opinion of the Banking Stakeholder                              Group established in accordance with Article 37 of Regulation (EU) No 1093/2010 of the European Parliament and of the Council(3),

HAS ADOPTED THIS REGULATION:

## Article 1U.K.Determination of the Own funds requirements for the non-delta risk of options and warrants

1.Institutions shall calculate their own funds requirements for market risk in relation to the non-delta risk of options or                        warrants as required by Article 329(3), Article 352(6) and Article 358(4) of Regulation (EU) No 575/2013, according to one                        of the following approaches:                  

(a)the simplified approach as set out in Articles 2 and 3 of this Regulation;                  

(b)the delta plus approach as set out in Articles 4, 5 and 6 of this Regulation;                  

(c)the scenario approach as set out in Articles 7, 8 and 9 of this Regulation.                  

2.When calculating own funds requirements on a consolidated basis institutions may combine the use of different approaches.On                        an individual basis, institutions may only combine the scenario approach and the delta plus approach subject to the conditions                        established in Articles 4 to 9.                  

3.For the purposes of the calculation referred to in paragraph 1, institutions shall take the following steps:                  

(a)break down baskets of options or warrants into their fundamental components;                  

(b)break down caps and floors or other options which relate to interest rates at various dates, into a chain of independent options                        referring to different time periods (‘caplet’ and ‘floorlets’);                  

(c)treat options or warrants on fixed-to-floating interest rates swaps into options or warrants on the fixed interest leg of                        the swap;                  

(d)treat options or warrants that relate to more than one underlying among those described in Article 5(3), as a basket of options                        or warrants where each option has a single distinct underlying.                  

## Article 2U.K.Conditions for application of the simplified approach

Institutions that only purchase options and warrants may only use the simplified approach

## Article 3U.K.Determination of own funds requirements according to the simplified approach

1.Institutions applying the simplified approach shall calculate the own funds requirements relative to non-delta risks of call                        and put options or warrants as the higher amount between zero and the difference between the following values:                  

(a)the gross amount, as described in paragraphs 2 to 5;                  

(b)the risk weighted delta equivalent amount, which shall be calculated as the market value of the underlying instrument, multiplied                        by the delta and then multiplied by one of the following relevant weightings:                  

for specific and general equity risk or interest rate risk, according to of Part Three, Title IV, Chapter 2 of Regulation                              (EU) No 575/2013;                           

for commodity risk, according to Part Three, Title IV, Chapter 4 of Regulation (EU) No 575/2013; and

for foreign exchange risk, according to Part Three, Title IV, Chapter 3 of Regulation (EU) No 575/2013.

2.For options or warrants which fall under one of the following two categories, the gross amount referred to in paragraph 1                        shall be determined according to paragraphs 3 to 4:                  

(a)where the buyer has the unconditional right to buy the underlying asset at a predetermined price at the expiration date or                        at any time before the expiration date, and where the seller has the obligation to fulfil the buyer's demand (‘simple call                        options or warrants’);                  

(b)where the buyer has the unconditional right to sell the underlying asset in the same manner as described in point (a) (‘simple                        put options or warrants’).                  

3.The gross amount referred to in paragraph 1 shall be calculated as the maximum between zero and the market value of the underlying                        security multiplied by the sum of specific and general market risk own funds requirements for the underlying minus the amount                        of the profit, if any, resulting from the instant execution of the option (‘in the money’), where one of the following conditions                        is met:                  

(a)the option or warrant incorporates a right to sell the underlying asset (‘long put’) and is combined with holdings in the                        underlying asset (‘long position in the underlying instrument’);                  

(b)the option or warrant incorporates a right to buy the underlying asset (‘long call’) and is combined with the promise to sell                        holdings in the underlying instrument (‘short position in the underlying asset’).                  

4.Where the option or warrant incorporates a right to buy the underlying asset (‘long call’) or a right to sell the underlying                        asset (‘long put’), the gross amount referred to in paragraph 1 shall be the lesser of the following two amounts:                  

(a)the market value of the underlying security multiplied by the sum of specific and general market risk requirements for the                        underlying asset;                  

(b)the value of the position determined by the mark-to-market method or the mark-to-model method as provided in points (b) and                        (c) of Article 104(2) of Regulation (EU) No 575/2013 (‘market value of the option or warrant’).                  

5.For all types of options or warrants which do not have the characteristics referred to in paragraph 2, the gross amount referred                        to in paragraph 1 shall be the market value of the option or warrant.                  

## Article 4U.K.Overview of determination of own funds requirements according to the Delta-plus approach

1.Where institutions opt to apply the Delta-plus approach, for options and warrants whose gamma is a continuous function in                        the price of the underlying and whose vega is a continuous function in the implied volatility (‘continuous options and warrants’),                        the own funds requirements for non-delta risks on options or warrants shall be calculated as the sum of the following requirements:                  

(a)the own funds requirements relating to the partial derivative of delta with reference to the price of the underlying which,                        for bond options or warrants is the partial derivative of delta with reference to the yield-to-maturity of the underlying                        bond, and for swaptions is the partial derivative of the delta with reference to the swap rate;                  

(b)the requirement relating to the first partial derivative of the value of an option or warrant, with reference to the implied                        volatility.                  

2.Implied volatility shall be taken to be the value of the volatility in the option or warrant pricing formula for which, given                        a certain pricing model and given the level of all other observable pricing parameters, the theoretical price of the option                        or warrant is equal to its market value, where ‘market value’ is understood in the manner described in Article 3(4).                  

3.The own funds requirements for non-delta risks related to non-continuous options or warrants shall be determined as follows:                  

(a)where the options or warrants have been bought, as the maximum amount between zero and the difference between the following                        values:                  

the market value of the option or warrant, understood in the manner described in Article 3(4);

the risk weighted delta equivalent amount, understood in the manner described in Article 3(1)(b);

(b)where the options or warrants have been sold, as the maximum between zero and the difference between the following amounts:                  

the relevant market value of the underlying asset, which shall be taken to be either the maximum possible payment at expiry                              date, if it is contractually fixed, or the market value of the underlying asset or the effective notional value if no maximum                              possible payment is contractually fixed;                           

the risk weighted delta equivalent amount, understood in the manner described in Article 3(1)(b).

4.The value for gamma and vega used in the calculation of own funds requirements shall be calculated using an appropriate pricing                        model as referred to in Article 329(1), Article 352(1) and Article 358(3) of Regulation (EU) No 575/2013 Where either gamma                        or vega cannot be calculated in accordance with this paragraph, the capital requirement on non-delta risks shall be calculated                        according to paragraph 3.                  

## Article 5U.K.Determination of the Own funds requirements for gamma risk according to the Delta-plus approach

1.For the purposes of Article 4(1)(a), the own funds requirements for gamma risk shall be calculated by a process consisting                        of the following sequence of steps:                  

(a)for each individual option or warrant a gamma impact shall be calculated;                  

(b)the gamma impacts of individual options or warrants which refer to the same distinct underlying type shall be summed up;                  

(c)the absolute value of the sum of all of the negative values resulting from step (b) shall provide the own funds requirements                        for gamma risk. Positive values resulting from step (b) shall be disregarded.                  

2.For the purpose of the step in point (a) of paragraph 1, gamma impacts shall be calculated in accordance with the formula                        described in Annex I.                  

3.For the purposes of the step in point (b) of paragraph 1, a distinct underlying type shall be:                  

(a)for interest rates in the same currency: each maturity time band as set out in Table 2 of Article 339 of Regulation (EU) No                        575/2013;                  

(b)for equities and stock indices: each market as defined in the rules to be developed pursuant to Article 341 (3) of Regulation                        (EU) No 575/2013;                  

(c)for foreign currencies and gold: each currency pair and gold;                  

(d)for commodities: commodities considered identical as defined in Article 357(4) of Regulation (EU) No 575/2013.                  

## Article 6U.K.Determination of the Own funds requirements for vega risk according to the Delta-plus approach

For the purposes of Article 4(1)(b), the own funds requirement for vega risk shall be calculated by a process consisting of                     the following sequence of steps:                  

for each individual option the value of vega shall be determined;

for each individual option an assumed plus/minus 25 % shift in the implied volatility shall be calculated, where implied volatility                              shall be understood in the manner described in Article 4(2);                           

for each individual option the vega value resulting from the step in point (a) shall be multiplied by the assumed shift in                              implied volatility resulting from the step in point (b);                           

for each distinct underlying type, understood in the manner described in Article 5(3), the values resulting from the step                              in point (c) shall be summed up;                           

the sum of absolute values resulting from the step in point (d) shall provide the total own funds requirement for vega risk.

## Article 7U.K.Conditions of application of the scenario approach

Institutions may use the scenario approach where they fulfil all of the following requirements:

they have established a risk control unit that monitors the risk of the options portfolio of the institutions and reports                              the results to the management;                           

they have notified competent authorities of a predefined scope of exposures to be covered by this approach consistently over                              time;                           

they integrate the results of the scenario approach in the internal reporting to the management of the institution.

For the purposes of point (c), institutions shall define the precise positions that are subject to the scenario approach,                     including the type of product or identified desk and portfolio, the distinctive risk management approach that applies to such                     positions, the dedicated IT application that applies to such positions, and a justification for the allocation of those positions                     to the scenario approach, with regard to those positions allocated to other approaches.                  

## Article 8U.K.Definition of the scenario matrix according to the scenario approach

1.For each distinct underlying type, as referred to in Article 5(3), an institution shall define a scenario matrix which contains                        a set of scenarios.                  

2.The first dimension of the scenario matrix shall be the price changes in the underlying above and below its current value.                        That range of changes shall consist of the following:                  

(a)for interest rate options or warrants, plus/minus the assumed change in interest rates set out in column 5 of Table 2 of Article                        339 of Regulation (EU) No 575/2013;                  

(b)for options or warrants on equity or equity indices, plus/minus the weighting provided in Article 343 of Regulation (EU) No                        575/2013;                  

(c)for foreign exchange and gold options or warrants, plus/minus the weighting indicated in Article 351 of Regulation (EU) No                        575/2013 or, where appropriate, plus/minus the weighting indicated in Article 354 of Regulation (EU) No 575/2013;                  

(d)for commodity options (warrants), plus/minus the weighting indicated in point (a) of Article 360(1) of Regulation (EU) No                        575/2013.                  

3.The price change scenarios in the underlying shall be defined by a grid of at least seven points which includes the current                        observation and divides the range indicated in paragraph 2 in equally spaced intervals.                  

4.The second dimension of the scenario matrix shall be defined by volatility changes. The range of changes in volatilities shall                        be between plus/minus 25 % of the implied volatility, where implied volatility shall be understood as referred to in Article                        4(2). That range shall be divided into a grid of at least three points which include a 0 % change and where the range is divided                        into equally spaced intervals.                  

5.The scenario matrix is determined by all possible combinations of points, as referred to in paragraphs 3 and 4. Each combination                        shall constitute a single scenario.                  

## Article 9U.K.Determination of the own funds requirements according to the scenario approach

According to the scenario approach, the own funds requirement on non-delta risk of options or warrants shall be calculated                     through a process consisting of the following sequence of steps:                  

for each individual option or warrant, all the scenarios referred to in Article 8 shall be applied to calculate simulated                              net loss or gain corresponding to each scenario. That simulation shall be done using full revaluation methods, by simulating                              the price changes by the use of pricing models and without relying to local approximations of those models;                           

for each distinct underlying type, as referred to in Article 5(3), the values obtained as a result of the calculation in point                              (a) and referring to the individual scenarios, shall be aggregated;                           

for each distinct underlying type as referred to in Article 5(3), the ‘relevant scenario’ shall be calculated as the scenario                              for which the values determined in step (b) result in the largest loss, or the lowest gain if there are no losses;                           

for each distinct underlying type, as referred to in Article 5(3), the own funds requirements shall be calculated in accordance                              with the formula described in Annex II;                           

the total own funds requirement in the case of non-delta risk of options or warrants shall be the sum of the own fund requirements                              obtained from the calculation referred to in step (d) for all distinct underlying types as referred to in Article 5(3).                           

## Article 10U.K.Entry into force

This Regulation shall enter into force on the twentieth day following that of its publication in the *Official Journal of the European Union*.                  

This Regulation shall be binding in its entirety and directly applicable in all Member States.

Done at Brussels, 12 March 2014.

*For the Commission*                            

*The President*                            

José Manuel Barroso                            

## ANNEX IU.K.Formula to be used for the purposes of Article 5(2)

Formula to be used for the purposes of Article 5(2):

Gamma impact = ^ × Gamma × VU2                   

where VU:

for options or warrants on interest rates or bonds is equal to the assumed change in yield indicated in column 5 of Table                              2 of Article 339 of Regulation (EU) No 575/2013;                           

for equity options or warrants and equity indices the market value of the underlying multiplied by the weighting indicated                              in Article 343 of Regulation (EU) No 575/2013;                           

for foreign exchange and gold options or warrants is equal to the market value of the underlying, calculated in the reporting                              currency and multiplied by the weighting indicated in Article 351 of Regulation (EU) No 575/2013 or — if appropriate — the                              weighting indicated in Article 354 of Regulation (EU) No 575/2013;                           

for commodity options or warrants is equal to the market value of the underlying, multiplied by the weighting indicated in                              point (a) of Article 360.1 of Regulation (EU) No 575/2013.                           

## ANNEX IIU.K.Formula to be used for the purposes of Article 9(d)

Formula to be used for the purposes of Article 9(d)

Own funds requirement = – min (0,PC-DE)

where

PC (‘Price Change’) is the sum of price changes of the options with the same distinct underlying type understood in the manner                              described in Article 5(3) (negative sign for losses and positive sign for gains) and corresponding to the relevant scenario                              determined in step (c) of Article 8.2;                           

DE is the ‘delta effect’ calculated as follows:

DE = ADEV × PPCU

where

ADEV (‘aggregated delta equivalent value’) is the sum of negative or positive deltas, multiplied by the market value of the                              underlying of the contract, of options that have the same distinct underlying type understood in the manner described in Article                              5(3);                           

PPCU (‘percentage price change of the underlying’) is the percentage price change of the underlying understood in the manner                              described in Article 5(3), corresponding to the relevant scenario determined in step (c) of Article 8.2.                           

1

OJ L 176, 27.6.2013, p. 1.                           

2

Directive 2013/36/EU of the European Parliament and of the Council of 26 June 2013 on access to the activity of credit institutions                              and the prudential supervision of credit institutions and investment firms, amending Directive 2002/87/EC and repealing Directives                              2006/48/EC and 2006/49/EC (OJ L 176, 27.6.2013, p. 338).                           

3

Regulation (EU) No 1093/2010 of the European Parliament and of the Council of 24 November 2010 establishing a European Supervisory                              Authority (European Banking Authority), amending Decision No 716/2009/EC and repealing Commission Decision 2009/78/EC (OJ L 331, 15.12.2010, p. 12).