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Excel ACCRINT Function

Excel ACCRINT function
Summary 
The Excel ACCRINT function returns the accrued interest for a security that pays periodic interest
Purpose 
Get accrued interest periodic
Return value 
Accrued interest
Syntax 
=ACCRINT (id, fd, sd, rate, par, freq, [basis], [calc])
Arguments 
  • id - Issue date of the security.
  • fd - First interest date of security.
  • sd - Settlement date of security.
  • rate - Interest rate of security.
  • par - Par value of security.
  • freq - Coupon payments per year (annual = 1, semiannual = 2; quarterly = 4).
  • basis - [optional] Day count basis (see below, default =0).
  • calc - [optional] Calculation method (see below, default = TRUE).
Usage notes 

In finance, bonds prices are quoted "clean". The "clean price" of a bond excludes any interest accrued since the issue date, or most recent coupon payment. The "dirty price" of a bond is the price including accrued interest. The ACCRINT function can be used to calculate accrued interest for a security that pays periodic interest, but pay attention to date configuration.

Date configuration

By default, ACCRINT will calculate accrued interest from the issue date. If the settlement date is in the first period, this works. However, if the settlement date is not in the first period, you probably don't want total accrued interest from issue date but rather accrued interest from the last interest date (previous coupon date). As a workaround, based the article here:

  • set issue date to previous coupon date
  • set first interest date previous coupon date

Note: According to Microsoft documentation, calc method controls how total accrued interest is calculated when the date of settlement > first interest. The default is TRUE, which returns the total accrued interest from issue date to settlement date. Setting calculation method to FALSE is supposed to return accrued interest from first_interest to settlement date. However, I was unable to produce this behavior. In the example below therefore, issue date and first interest date are set to the previous coupon date (as described above).

Example

In the example shown, we want to calculate accrued interest for a bond with a 5% coupon rate. The issue date is 5-Apr-2018, the settlement date is 1-Feb-2019, and the last coupon date is 15-Oct-2018. We want accrued interest from October 15, 2018 to February 1, 2019. The formula in F5 is:

=ACCRINT(C9,C9,C8,C6,C5,C12,C13,TRUE)

With these inputs, the ACCRINT function returns $14.72, with currency number format applied.

Entering dates

In Excel, dates are serial numbers. Generally, the best way to enter valid dates is to use cell references, as shown in the example. To enter valid dates directly inside a function, you can use the DATE function. To illustrate, the formula below has all values hardcoded. The DATE function is used to supply each of the three required dates:

=ACCRINT(DATE(2018,10,15),DATE(2018,10,15),DATE(2019,2,1),0.05,1000,2,0,TRUE)

Basis

The basis argument controls how days are counted. The ACCRINT function allows 5 options (0-4) and defaults to zero, which specifies US 30/360 basis. This article on wikipedia provides a detailed explanation of available conventions.

Basis Day count
0 or omitted US (NASD) 30/360
1 Actual/actual
2 Actual/360
3 Actual/365
4 European 30/360

Notes

  • In Excel, dates are serial numbers
  • All dates, plus frequency and basis, are truncated to integers.
  • If dates are invalid (i.e. not actually dates) ACCRINT returns #VALUE!
  • ACCRINT returns #NUM when:
    • issue date >= settlement date
    • rate < 0 or par <= 0
    • frequency is not 1, 2, or 4
    • Basis is out-of-range

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