DIRTYYIELD

Updated 2023-10-06 13:59:46.967000

Syntax

SELECT [westclintech].[wct].[DIRTYYIELD](
  <@Settlement, datetime,>
 ,<@Maturity, datetime,>
 ,<@Rate, float,>
 ,<@Price, float,>
 ,<@Redemption, float,>
 ,<@Frequency, float,>
 ,<@Basis, nvarchar(4000),>
 ,<@Issue, datetime,>
 ,<@FirstCoupon, datetime,>
 ,<@LastCoupon, datetime,>)

Description

Use the scalar function DIRTYYIELD to calculate the yield of a bond from the dirty price. The dirty price of a bond is the discounted cash flow value of all the remaining coupons plus the discounted cash flow value of the redemption amount. This is equivalent to the clean price of the bond plus the accrued interest.

You can use DIRTYYIELD for bonds that pay regular period interest, bonds with an odd first coupon period, bonds with an odd last coupon period, and bonds with both and odd first and an odd last coupon period.

Arguments

@FirstCoupon

the first coupon date of the bond. The period from the issue date until the first coupon date defines the odd interest period. All subsequent coupon dates are assumed to occur at regular periodic intervals as defined by @Frequency. @FirstCoupon is an expression that returns a datetime or smalldatetime value, or a character string in date format.

@Basis

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

{"columns":[{"field":"@Basis","width":305},{"field":"Day count basis","width":270}],"rows":[{"@Basis":"0 , 'BOND'","Day count basis":"US (NASD) 30/360"},{"@Basis":"1 , 'ACTUAL'","Day count basis":"Actual/Actual"},{"@Basis":"2 , 'A360'","Day count basis":"Actual/360"},{"@Basis":"3 , 'A365'","Day count basis":"Actual/365"},{"@Basis":"4 , '30E/360 (ISDA)' , '30E/360' , 'ISDA' , '30E/360 ISDA' , 'EBOND'","Day count basis":"European 30/360"},{"@Basis":"5 , '30/360' , '30/360 ISDA' , 'GERMAN'","Day count basis":"30/360 ISDA"},{"@Basis":"6 , 'NL/ACT'","Day count basis":"No Leap Year/ACT"},{"@Basis":"7 , 'NL/365'","Day count basis":"No Leap Year /365"},{"@Basis":"8 , 'NL/360'","Day count basis":"No Leap Year /360"},{"@Basis":"9 , 'A/364'","Day count basis":"Actual/364"},{"@Basis":"10 , 'BOND NON-EOM'","Day count basis":"US (NASD) 30/360 non-end-of-month"},{"@Basis":"11 , 'ACTUAL NON-EOM'","Day count basis":"Actual/Actual non-end-of-month"},{"@Basis":"12 , 'A360 NON-EOM'","Day count basis":"Actual/360 non-end-of-month"},{"@Basis":"13 , 'A365 NON-EOM'","Day count basis":"Actual/365 non-end-of-month"},{"@Basis":"14 , '30E/360 NON-EOM' , '30E/360 ICMA NON-EOM' , 'EBOND NON-EOM'","Day count basis":"European 30/360 non-end-of-month"},{"@Basis":"15 , '30/360 NON-EOM' , '30/360 ISDA NON-EOM' , 'GERMAN NON-EOM'","Day count basis":"30/360 ISDA non-end-of-month"},{"@Basis":"16 , 'NL/ACT NON-EOM'","Day count basis":"No Leap Year/ACT non-end-of-month"},{"@Basis":"17 , 'NL/365 NON-EOM'","Day count basis":"No Leap Year/365 non-end-of-month"},{"@Basis":"18 , 'NL/360 NON-EOM'","Day count basis":"No Leap Year/360 non-end-of-month"},{"@Basis":"19 , 'A/364 NON-EOM'","Day count basis":"Actual/364 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. For bonds with @Basis = 'A/364' or 9, you can enter 364 for payments made every 52 weeks, 182 for payments made every 26 weeks, 91 for payments made every 13 weeks, 28 for payments made every 4 weeks, 14 for payments made every 2 weeks, and 7 for weekly payments. @Frequency is an expression of type float or of a type that can be implicitly converted to float.

@Rate

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

@Issue

the issue date of the bond; the date from which the bond starts accruing interest. @Issue is an expression that returns a datetime or smalldatetime value, or a character string in date format.

@Price

the bond’s dirty price. @Price is an expression of type float or of a type that can be implicitly converted to float.

@Settlement

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

@Maturity

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

@Redemption

the bond’s redemption value per 100 face value. @Redemption is an expression of type float or of a type that can be implicitly converted to float.

@LastCoupon

the last coupon date of the bond prior to the maturity. The period from the last interest date until the maturity date defines the odd interest period. All coupon dates from @FirstCoupon to @LastCoupon are assumed to occur at regular periodic intervals as defined by @Frequency. @LastCoupon is an expression that returns a datetime or smalldatetime value, or a character string in date format.

Return Type

float

Remarks

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

If @Rate is NULL then @Rate = 0.

If @Price is NULL then @Price = 0.

If @Redemption is NULL then @Redemption = 100.

If @Frequency is NULL then @Frequency = 2.

If @Basis is NULL then @Basis = 1.

If @Maturity <= @Settlement then no rows are returned.

If @Frequency invalid DIRTYYIELD returns an error.

If @Basis invalid (see above list), DIRTYYIELD returns an error.

If @Maturity is NULL then @Maturity = GETDATE().

To calculate the dirty yield for a bond paying regular periodic interest just enter @Maturity and @Settlement.

To calculate the dirty yield for bond with an odd first coupon where the settlement date is before the first coupon date, enter @Issue, @FirstCoupon, @Settlement, and @Maturity. If the settlement date is on or after the first coupon date just enter @Maturity and @Settlement.

To calculate the dirty yield for a bond with an odd last coupon enter @LastCoupon, @Settlement, and @Maturity.

To calculate the dirty yield for bond with an odd first coupon and an odd last coupon where the settlement date is before the first coupon date, enter @Issue, @FirstCoupon, @LastCoupon, @Settlement, and @Maturity. If the settlement date is on or after the first coupon date just enter @LastCoupon, @Maturity and @Settlement.

Examples

In this example we calculate the yield for bond which pays regular period interest and is maturing on 2034-06-15. The settlement date is 2014-05-01, the dirty price is 96.945314, the coupon rate is 2.50%, the redemption value is 100, the coupon is paid twice-yearly and the day-count convention is actual/actual.

SELECT wct.DIRTYYIELD(   '2014-05-01', --@Settlement

                         '2034-06-15', --@Maturity

                         0.025,        --@Rate

                         96.945314,    --@Price

                         100,          --@Redemption

                         2,            --@Frequency

                         1,            --@Basis

                         NULL,         --@Issue

                         NULL,         --@FirstCoupon

                         NULL          --@LastCoupon

                     ) as YIELD;