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Test MD post

Written by: Charles Flock
5/26/2025 6:09 AM

ACCINTACT

Updated 2024-03-23 22:19:22.850000

Syntax

SELECT [wct].[ACCINTACT](
  <@Settlement, datetime,>
 ,<@Maturity, datetime,>
 ,<@Rate, float,>
 ,<@Par, float,>
 ,<@Frequency, float,>
 ,<@Basis, nvarchar(4000),>)

Description

Use the scalar function ACCINTACT to calculate the accrued interest on a bond where the coupon amounts are calculated as the actual number of days in the coupon period divided by the number of days in the year. This means that the coupon amounts will vary by period. The number of days in the year is either 360, 365, or 366 based upon the day-count convention.

Arguments

@Basis

is the type of day count to use. @Basis is an expression of the character string data type category.

@BasisDay count basis
1 , 'ACTUAL'Actual/Actual
2 , 'A360'Actual/360
3 , 'A365'Actual/365
11 , 'ACTUAL NON-EOM'Actual/Actual non-end-of-month
12 , 'A360 NON-EOM'Actual/360 non-end-of-month
13 , 'A365 NON-EOM'Actual/365 non-end-of-month

@Frequency

the number of coupon payments per year. For annual payments, @Frequency = 1; for semi-annual, @Frequency = 2; for quarterly, @Frequency = 4; for bi-monthly, @Frequency = 6, for monthly, @Frequency = 12. @Frequency is an expression of type float or of a type that can be implicitly converted to float.

@Rate

the security’s annual coupon rate. @Rate is an expression of type float or of a type that can be implicitly converted to float.

@Par

the par value of the security. Any forced redemptions are subtracted from the par value on the redemption date and the adjusted balance is used in calculating the subsequent coupon interest. @Par is an expression of type float or of a type that can be implicitly converted to float.

@Settlement

the settlement date of the security. @Settlement is an expression that returns a datetime or smalldatetime value, or a character string in date format.

@Maturity

the maturity date of the security. @Maturity is an expression that returns a datetime or smalldatetime value, or a character string in date format.

Return Type

float

Remarks

If @Basis is invalid then ACCINTACT returns an error.

If @Frequency is invalid then ACCINTACT returns an error.

If @Maturity < @Settlement then NULL is returned.

If @Settlement is NULL, @Settlement = GETDATE().

If @Frequency is NULL, @Frequency = 2.

If @Basis is NULL, @Basis = 1.

If @Par is NULL then @Par = 100.

If @Rate is NULL then @Rate = 0.

If @Maturity is NULL then ACCINTACT returns NULL.

If @Basis = 3 or @Basis = 13 then the number of days in a year is always 365.

If @Basis =2 or @Basis = 12 then the number of days in a year is always 360.

If @Basis =1 or @Basis = 1 then the number of days in a year is determined by the actual number of days in the year of coupon period end date.

Examples

In this example we calculate the accrued interest on a bond maturing on 2034-11-01 with a coupon interest rate of 11.0% paying interest semi-annually. The bond is settling on 2014-10-29. The bond uses the actual/actual day-count convention.

SELECT wct.ACCINTACT(   '2014-10-29', --@Settlement

                        '2034-11-01', --@Maturity

                        0.11,         --@Rate

                        100,          --@Par

                        2,            --@Frequency

                        1             --@Basis

                    ) as [Accrued Interest];

This produces the following result.

Accrued Interest
5.45479452054794

Let's compare this to the result returned by the BONDINT function.

SELECT wct.ACCINTACT(   '2014-10-29', --@Settlement

                        '2034-11-01', --@Maturity

                        0.11,         --@Rate

                        100,          --@Par

                        2,            --@Frequency

                        1             --@Basis

                    ) as ACCINTACT,

       wct.BONDINT(   '2014-10-29', --@Settlement

                      '2034-11-01', --@Maturity

                      0.11,         --@Rate

                      100,          --@Par

                      2,            --@Frequency

                      1             --@Basis

                  ) as BONDINT;

This produces the following result.

ACCINTACTBONDINT
5.454794520547945.41032608695652

The following SQL demonstrates why the 2 calculations are different.

SELECT 0.11 * 100 * CAST(DATEDIFF(d, k.prevcoup, '2014-10-29') as float) / 

          wct.DAYSINYEAR(k.NextCoup) as ACCINTACT,

       CAST(DATEDIFF(d, k.prevcoup, '2014-10-29') as float) / CAST(DATEDIFF(d, 

                 k.prevcoup, k.nextcoup) as float) * k.C as BONDINT

FROM wct.RPIFACTORS(   '2014-10-29', --@Settlement

                       '2034-11-01', --@Maturity

                       0.11,         --@Rate

                       100,          --@Price

                       NULL,         --@Yield

                       100,          --@Redemption

                       2,            --@Frequency

                       1             --@Basis

                   ) k;

This produces the following result.

ACCINTACTBONDINT
5.454794520547945.41032608695652

See Also

ACCRINTM - Calculate the accrued interest for a security that pays interest at maturity.

BONDINT - Accrued interest on a bond paying regular, periodic interest

ODDFINT - Accrued interest for a bond with an odd first coupon

ODDLINT - Accrued interest for a bond with an odd last coupon

PRICEACT - Price of a bond where the coupon amounts are calculated as the actual number of days in the coupon period divided by the number of days in the year.

PRICEACTTV - Generate the cash flows and discount factors for a bond where the coupon amounts are calculated as the actual number of days in the coupon period divided by the number of days in the year

STEPACCINT - Accrued interest of a stepped-coupon bond

YIELDACT - Yield on a bond where the coupon amounts are calculated as the actual number of days in the coupon period divided by the number of days in the year

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