Institutions shall calculate delta general interest rate risk (GIRR) sensitivities as follows:
the sensitivities to risk factors consisting of risk-free rates shall be calculated as follows:
where:
|
|
= |
the sensitivities to risk factors consisting of risk-free rates; |
|
rkt |
= |
the rate of a risk-free curve k with maturity t; |
|
Vi (.) |
= |
the pricing function of instrument i; and |
|
x,y |
= |
risk factors other than rkt in the pricing function Vi; |
the sensitivities to risk factors consisting of inflation risk and cross-currency basis shall be calculated as follows:
where:
|
|
= |
the sensitivities to risk factors consisting of inflation risk and cross-currency basis; |
|
|
= |
a vector of m components representing the implied inflation curve or the cross-currency basis curve for a given currency j with m being equal to the number of inflation or cross-currency related variables used in the pricing model of instrument i; |
|
|
= |
the unity matrix of dimension (1 × m); |
|
Vi (.) |
= |
the pricing function of the instrument i; and |
|
y, z |
= |
other variables in the pricing model. |
Institutions shall calculate the delta credit spread risk sensitivities for all securitisation and non-securitisation positions as follows:
where:
|
|
= |
the delta credit spread risk sensitivities for all securitisation and non-securitisation positions; |
|
cskt |
= |
the value of the credit spread rate of an issuer j at maturity t; |
|
Vi (.) |
= |
the pricing function of instrument i; and |
|
x,y |
= |
risk factors other than cskt in the pricing function Vi. |
Institutions shall calculate delta equity risk sensitivities as follows:
the sensitivities to risk factors consisting of equity spot prices shall be calculated as follows:
where:
|
sk |
= |
the sensitivities to risk factors consisting of equity spot prices; |
|
k |
= |
a specific equity security; |
|
EQk |
= |
the value of the spot price of that equity security; |
|
Vi (.) |
= |
the pricing function of instrument i; and |
|
x,y |
= |
risk factors other than EQk in the pricing function Vi; |
the sensitivities to risk factors consisting of equity repo rates shall be calculated as follows:
where:
|
|
= |
the sensitivities to risk factors consisting of equity repo rates; |
|
k |
= |
the index that denotes the equity; |
|
|
= |
a vector of m components representing the repo term structure for a specific equity k with m being equal to the number of repo rates corresponding to different maturities used in the pricing model of instrument i; |
|
|
= |
the unity matrix of dimension (1 · m); |
|
Vi (.) |
= |
the pricing function of the instrument i; and |
|
y,z |
= |
risk factors other than |
Institutions shall calculate the delta commodity risk sensitivities to each risk factor k as follows:
where:
|
sk |
= |
the delta commodity risk sensitivities; |
|
k |
= |
a given commodity risk factor; |
|
CTYk |
= |
the value of risk factor k; |
|
Vi (.) |
= |
the pricing function of instrument i; and |
|
y, z |
= |
risk factors other than CTYk in the pricing model of instrument i. |
Institutions shall calculate the delta foreign exchange risk sensitivities to each foreign exchange risk factor k as follows:
where:
|
sk |
= |
the delta foreign exchange risk sensitivities; |
|
k |
= |
a given foreign exchange risk factor; |
|
FXk |
= |
the value of the risk factor; |
|
Vi (.) |
= |
the pricing function of instrument i; and |
|
y, z |
= |
risk factors other than FXk in the pricing model of instrument i. |
( 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.’;
