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"30/360" - Leap Years
What is the impact of leap year on the "30/360" Day Count Convention?
✍: FYIcenter.com
Leap year has no impact on the 30/360 Day Count Convention,
as long as the Accrual Frequency is Monthly, Quarterly, Semiannually,
or Annually and Accrual Period boundaries are not falling on End of Month
in February.
Here is an example of US FHLB (Federal Home Loan Bank) bond security.
CUSIP: 3130ATVE4 Issuer: US FHLB Interest rate: 4.5% Interest frequency: Semiannually (2 times in a year) First interest Payment: 2023-06-11 Day Count Convention: 30/360 Term: 4 Years Start Date: 2022-11-07 Maturity Date: 2026-12-11
If you bought $1,000.00 of this FHLB bond, you will get paid $45.00 in each Accrual Year, including leap years. For example, the Accrual Year of [2023-12-11, 2024-12-11) contains a leap day of 2024-02-29. The Accrued Interest for this Accrual Year is still $45.00:
T1 = 2023-12-11: Starting date (inclusive) T2 = 2024-12-11: Ending date (exclusive) of the Accrual Range T3 = 2024-06-11: Ending date (exclusive) of the Accrual Period T4 = 2024-12-11: Ending date (exclusive) of the Accrual Year DiR(Y1,M1,D1,Y2,M2,D2) = 360×(Y2-Y1) + 30×(M2-M1) + (Minimum(D2,30)-Minimum(D1,30)) = 360×(2024-2023) + 30×(12-12) + (11-11) = 360 DiY(Y1,M1,D1,Y2,M2,D2) = 360 Day_Count_Factor(Y1,M1,D1,Y2,M2,D2) = DiR(Y1,M1,D1,Y2,M2,D2) / DiY(Y1,M1,D1,Y2,M2,D2) = 360/360 = 1 Accrued_Interest = Principal × Interest_Rate × Day_Count_Factor = $1,000.00 × 4.5% × 1 = $45.00
⇒ "30/360" - Daily Compound Interest
⇐ "30/360" - Cross-Period Accrual
2026-02-06, ∼222🔥, 0💬
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