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D. Supervisory Duration

C 52/2017 STA Effective from 1/4/2021

24.The Supervisory Duration calculation required in the Standards is in effect the present value of a continuous-time annuity of unit nominal value, discounted at a rate of 5%. The implied annuity is received between dates S and E (the start date and the end date, respectively), and the present value is taken to the current date.

25.For interest rate and credit derivatives, the supervisory measure of duration depends on each transaction’s start date S and end date E. The following Table presents example transactions and illustrates the values of S and E, expressed in years, which would be associated with each transaction, together with the maturity M of the transaction.

InstrumentMSE
Interest rate or credit default swap maturing in 10 years10010
10-year interest rate swap, forward starting in 3 years13313
Forward rate agreement for time period starting in 125 days and ending in one year10.51
Cash-settled European swaption referencing 5-year interest rate swap with exercise date in 125 days0.50.55.5
Physically-settled European swaption referencing 5-year interest rate swap with exercise date in 125 days5.50.55.5
Interest rate cap or floor specified for semi-annual interest with maturity 6 years606
Option on a 5-year maturity bond, with the last possible exercise date in 1 year115
3-month Eurodollar futures maturing in 1 year111.25
Futures on 20-year bond maturing in 2 years2222
6-month option on 2-year futures on a 20-year bond2222

 

26.Note there is a distinction between the period spanned by the underlying transaction and the remaining maturity of the derivative contract. For example, a European interest rate swaption with expiry of 1 year and the term of the underlying swap of 5 years has S=1 year and E=6 years. An interest rate swap, or an index CDS, maturing in 10 years has S=0 years and E=10 years. The parameters S and E are only used for interest rate derivatives and credit-related derivatives.