For a given risk factor, institutions shall perform those calculations on a net basis across all the positions of the instruments subject to the own funds requirement for curvature risk that contain that risk factor.
) and the downward net curvature risk position of that risk factor (
) as follows:
where:
|
i |
= |
the index that denotes all the positions of instruments referred to in paragraph 1 and including risk factor k; |
|
xk |
= |
the current value of risk factor k; |
|
Vi (xk ) |
= |
the value of instrument i as estimated by the pricing model of the institution based on the current value of risk factor k; |
|
|
= |
the value of instrument i as estimated by the pricing model of the institution based on an upward shift of the value of risk factor k; |
|
|
= |
the value of instrument i as estimated by the pricing model of the institution based on a downward shift of the value of risk factor k; |
|
|
= |
the risk weight applicable to risk factor k determined in accordance with Section 6; |
|
sik |
= |
the delta sensitivity of instrument i with respect to risk factor k, calculated in accordance with Article 325r. |
For the purposes of the calculation referred to in paragraph 2, where xk is a curve of risk factors allocated to the GIRR, CSR and commodity risk classes, sik shall be the sum of the delta sensitivities to the risk factor of the curve across all tenors of the curve.
where:
|
b |
= |
the index that denotes a bucket of a given risk class; |
|
Kb |
= |
own funds requirements for curvature risk for bucket b; |
;
;
;
|
pkl |
= |
the intra-bucket correlations between risk factors k and l as prescribed in Section 6; |
|
k, l |
= |
the indices that denote all the risk factors of instruments referred to in paragraph 1 that are assigned to bucket b; |
|
( |
= |
the upward net curvature risk position; |
|
( |
= |
the downward net curvature risk position. |
where:
|
b, c |
= |
the indices that denote all the buckets of a given risk class that corresponds to instruments referred to in paragraph 1; |
|
Kb |
= |
own funds requirements for curvature risk for bucket b; |
;
;
|
γbc |
= |
the inter-bucket correlations between buckets b and c as set out in Section 6. |
( 1 ) Directive 2014/59/EU of the European Parliament and of the Council of 15 May 2014 establishing a framework for the recovery and resolution of credit institutions and investment firms and amending Council Directive 82/891/EEC, and Directives 2001/24/EC, 2002/47/EC, 2004/25/EC, 2005/56/EC, 2007/36/EC, 2011/35/EU, 2012/30/EU and 2013/36/EU, and Regulations (EU) No 1093/2010 and (EU) No 648/2012, of the European Parliament and of the Council (OJ L 173, 12.6.2014, p. 190).
( 2 ) Regulation (EU) No 806/2014 of the European Parliament and of the Council of 15 July 2014 establishing uniform rules and a uniform procedure for the resolution of credit institutions and certain investment firms in the framework of a Single Resolution Mechanism and a Single Resolution Fund and amending Regulation (EU) No 1093/2010 (OJ L 225, 30.7.2014, p. 1).
( 3 ) Council Regulation (EU) No 1024/2013 of 15 October 2013 conferring specific tasks on the European Central Bank concerning policies relating to the prudential supervision of credit institutions (OJ L 287, 29.10.2013, p. 63).
( 4 ) Regulation (EU) 2019/2033 of the European Parliament and of the Council of 27 November 2019 on the prudential requirements of investment firms and amending Regulations (EU) No 1093/2010, (EU) No 575/2013, (EU) No 600/2014 and (EU) No 806/2014 (OJ L 314, 5.12.2019, p. 1).
( 5 ) Directive (EU) 2019/2034 of the European Parliament and of the Council of 27 November 2019 on the prudential supervision of investment firms and amending Directives 2002/87/EC, 2009/65/EC, 2011/61/EU, 2013/36/EU, 2014/59/EU and 2014/65/EU (OJ L 314, 5.12.2019, p. 64).
( 6 ) Directive 2014/65/EU of the European Parliament and of the Council of 15 May 2014 on markets in financial instruments and amending Directive 2002/92/EC and Directive 2011/61/EU (OJ L 173, 12.6.2014, p. 349).
( 7 ) OJ L 335, 17.12.2009, p. 1.
( 8 ) Directive 2009/65/EC of the European Parliament and of the Council of 13 July 2009 on the coordination of laws, regulations and administrative provisions relating to undertakings for collective investment in transferable securities (UCITS) (OJ L 302, 17.11.2009, p. 32).
( 9 ) Directive 2011/61/EU of the European Parliament and of the Council of 8 June 2011 on Alternative Investment Fund Managers and amending Directives 2003/41/EC and 2009/65/EC and Regulations (EC) No 1060/2009 and (EU) No 1095/2010 (OJ L 174, 1.7.2011, p. 1).
( 10 ) Regulation (EU) 2017/2402 of the European Parliament and of the Council of 12 December 2017 laying down a general framework for securitisation and creating a specific framework for simple, transparent and standardised securitisation, and amending Directives 2009/65/EC, 2009/138/EC, 2011/61/EU and Regulations (EC) No 1060/2009 and (EU) No 648/2012 (OJ L 347, 28.12.2017, p. 35).
( 11 ) Directive (EU) 2015/2366 of the European Parliament and of the Council of 25 November 2015 on payment services in the internal market, amending Directives 2002/65/EC, 2009/110/EC and 2013/36/EU and Regulation (EU) No 1093/2010, and repealing Directive 2007/64/EC (OJ L 337, 23.12.2015, p. 35).
( 12 ) OJ L 222, 14.8.1978, p. 11.
( 13 ) OJ L 302, 17.11.2009, p. 1.
( 14 ) Directive 2013/34/EU of the European Parliament and of the Council of 26 June 2013 on the annual financial statements, consolidated financial statements and related reports of certain types of undertakings, amending Directive 2006/43/EC of the European Parliament and of the Council and repealing Council Directives 78/660/EEC and 83/349/EEC (OJ L 182, 29.6.2013, p. 19).
( 15 ) Directive 2004/109/EC of the European Parliament and of the Council of 15 December 2004 on the harmonisation of transparency requirements in relation to information about issuers whose securities are admitted to trading on a regulated market and amending Directive 2001/34/EC (OJ L 390, 31.12.2004, p. 38).
( 16 ) Regulation (EU) No 909/2014 of the European Parliament and of the Council of 23 July 2014 on improving securities settlement in the European Union and on central securities depositories and amending Directives 98/26/EC and 2014/65/EU and Regulation (EU) No 236/2012 (OJ L 257, 28.8.2014, p. 1).
( 17 ) OJ L 331, 15.12.2010, p. 48.
( 18 ) OJ L 331, 15.12.2010, p. 84.
( 19 ) Directive 2014/49/EU of the European Parliament and of the Council of 16 April 2014 on deposit guarantee schemes (OJ L 173, 12.6.2014, p. 149).
( 20 ) Directive 98/26/EC of the European Parliament and of the Council of 19 May 1998 on settlement finality in payment and securities settlement systems (OJ L 166, 11.6.1998, p. 45).
( 21 ) OJ L 250, 2.10.2003, p. 10.
►M10 ( 22 ) Directive (EU) 2019/2162 of the European Parliament and of the Council of 27 November 2019 on the issue of covered bonds and covered bond public supervision and amending Directives 2009/65/EC and 2014/59/EU (OJ L 328, 18.12.2019, p. 29). ◄
( 23 ) OJ L 135, 31.5.1994, p. 5.
( 24 ) Directive 2008/48/EC of the European Parliament and of the Council of 23 April 2008 on credit agreements for consumers and repealing Council Directive 87/102/EEC (OJ L 133, 22.5.2008, p. 66).
( 25 ) Commission Implementing Regulation (EU) No 680/2014 of 16 April 2014 laying down implementing technical standards with regard to supervisory reporting of institutions according to Regulation (EU) No 575/2013 of the European Parliament and of the Council (OJ L 191, 28.6.2014, p. 1).
( 26 ) Regulation (EU) 2016/679 of the European Parliament and of the Council of 27 April 2016 on the protection of natural persons with regard to the processing of personal data and on the free movement of such data, and repealing Directive 95/46/EC (General Data Protection Regulation) (OJ L 119, 4.5.2016, p. 1).
( 27 ) OJ L 3, 7.1.2004, p. 36.
( 28 ) Commission Regulation (EC) No 1126/2008 of 3 November 2008 adopting certain international accounting standards in accordance with Regulation (EC) No 1606/2002 of the European Parliament and of the Council (OJ L 320, 29.11.2008, p. 1).
( 29 ) Commission Regulation (EU) No 1205/2011 of 22 November 2011 amending Regulation (EC) No 1126/2008 adopting certain international accounting standards in accordance with Regulation (EC) No 1606/2002 of the European Parliament and of the Council as regards International Financial Reporting Standard (IFRS) 7 (OJ L 305, 23.11.2011, p. 16).
( 30 ) Directive 2004/39/EC of the European Parliament and of the Council of 21 April 2004 on markets in financial instruments amending Council Directives 85/611/EEC and 93/6/EEC and Directive 2000/12/EC of the European Parliament and of the Council and repealing Council Directive 93/22/EEC (OJ L 145, 30.4.2004, p. 1).
( 31 ) Commission Recommendation 2003/361/EC of 6 May 2003 concerning the definition of micro, small and medium-sized enterprises (OJ L 124, 20.5.2003, p. 36).
( *1 ) OJ L 176, 27.6.2013, p. 1.’;
