"30/360" - Leap Years

Q

What is the impact of leap year on the "30/360" Day Count Convention?

✍: FYIcenter.com

A

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

Day Count Convention - "30/360"

⇑⇑ Day Count Conventions

2026-02-06, ∼181🔥, 0💬