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XLeratorDB/financial Documentation

SQL Server yield function for odd- first and last coupon bonds


OFLYIELD

Updated: 30 June 2014


Use OFLYIELD to calculate the yield from price per 100 face value of a bond with an odd first period and an odd last period. There is no closed-form solution for calculating the yield when there is more than one period to redemption; the solution is found by iteration.
Syntax
SELECT [wctFinancial].[wct].[OFLYIELD](
  <@Settlement, datetime,>
 ,<@Maturity, datetime,>
 ,<@Issue, datetime,>
 ,<@First_coupon, datetime,>
 ,<@Last_coupon, datetime,>
 ,<@Rate, float,>
 ,<@Price, float,>
 ,<@Redemption, float,>
 ,<@Frequency, float,>
 ,<@Basis, nvarchar(4000),>)
Arguments
@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. 
@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. 
@First_coupon
the first coupon date of the bond. The period from the issue date until the first coupon date defines the odd interest period. All coupon dates from @First_coupon to @Last_coupon are assumed to occur at regular periodic intervals as defined by @Frequency@First_coupon is an expression that returns a datetime or smalldatetime value, or a character string in date format. 
@Last_coupon
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 @First_coupon to @Last_coupon are assumed to occur at regular periodic intervals as defined by @Frequency. @Last_coupon is an expression that returns a datetime or smalldatetime value, or a character string in date format. 
@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.
@Price
the price of the bond. @Price is an expression of type float or of a type that can be implicitly converted to float.
@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.
@Frequency
the number of coupon payments per year. For annual payments, @Frequency = 1; for semi-annual, @Frequency = 2; for quarterly, @Frequency = 4; for bimonthly @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.
@Basis
is the type of day count to use. @Basis is an expression of the character string data type category. 
@Basis
Day count basis
0, 'BOND'
US (NASD) 30/360
1, 'ACTUAL'
Actual/Actual
2, 'A360'
Actual/360
3, 'A365'
Actual/365
4, '30E/360 (ISDA)', '30E/360', 'ISDA', '30E/360 ISDA', 'EBOND'
European 30/360
5, '30/360', '30/360 ISDA', 'GERMAN'
30/360 ISDA
6, 'NL/ACT'
No Leap Year/ACT
7, 'NL/365'
No Leap Year /365
8, 'NL/360'
No Leap Year /360
9, 'A/364'
Actual/364
10, 'BOND NON-EOM'
US (NASD) 30/360 non-end-of-month
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
14, '30E/360 NON-EOM', '30E/360 ICMA NON-EOM', 'EBOND NON-EOM'
European 30/360 non-end-of-month
15, '30/360 NON-EOM', '30/360 ISDA NON-EOM', 'GERMAN NON-EOM'
30/360 ISDA non-end-of-month
16, 'NL/ACT NON-EOM'
No Leap Year/ACT non-end-of-month
17, 'NL/365 NON-EOM'
No Leap Year/365 non-end-of-month
18, 'NL/360 NON-EOM'
No Leap Year/360 non-end-of-month
19, 'A/364 NON-EOM'
Actual/364 non-end-of-month
Remarks
·         If @Settlement is NULL then @Settlement = GETDATE().
·         If @Rate is NULL then @Rate = 0.
·         If @Price is NULL then @Price = 100.
·         If @Redemption is NULL then @Redemption = 100.
·         If @Frequency is NULL then @Frequency = 2.
·         If @Basis is NULL then @Basis = 0.
·         If @Frequency is any number other than 1, 2, 4, 6 or 12, or for @Basis = 'A/364' any number other than 1, 2, 4, 6, or 12 as well as 7, 14, 28, 91, 182, or 364 OFLYIELD returns an error.
·         If @Basis is invalid (see above list), OFLYIELD returns an error.
·         If @Maturity is NULL then an error is returned.
·         If @Last_coupon is NULL then an error is returned.
·         If @First_coupon is NULL then an error is returned.
·         If @Issue is NULL then an error is returned.
·         If @Settlement >= @First_coupon then the yield is calculated using ODDLYIELD.
Example
This is a bond with an odd short first coupon and an odd short last coupon.
SELECT
   wct.OFLYIELD(
       '2013-03-04'     --@Settlement
      ,'2022-04-28'     --@Maturity
      ,'2012-12-07'     --@Issue
      ,'2013-03-15'     --@First_coupon
      ,'2022-03-15'     --@Last_coupon
      ,.03125           --@Rate
      ,102.000362       --@Price
      ,100              --@Redemption
      ,2                --@Frequency
      ,1                --@Basis
   ) as YIELD
This produces the following result.
                 YIELD
----------------------
    0.0287500003109707


This is a bond with an odd long first coupon and an odd long last coupon.
SELECT
   wct.OFLYIELD(
       '2013-03-04'     --@Settlement
      ,'2022-11-28'     --@Maturity
      ,'2012-06-07'     --@Issue
      ,'2013-03-15'     --@First_coupon
      ,'2022-03-15'     --@Last_coupon
      ,.03125           --@Rate
      ,102.103433       --@Price
      ,100              --@Redemption
      ,2                --@Frequency
      ,1                --@Basis
      ) as YIELD
This produces the following result.
                 YIELD
----------------------
    0.0287500005099486


This is a bond with an odd long first coupon and an odd short last coupon.
SELECT
   wct.OFLYIELD(
       '2013-03-04'     --@Settlement
      ,'2022-04-28'     --@Maturity
      ,'2012-06-07'     --@Issue
      ,'2013-03-15'     --@First_coupon
      ,'2022-03-15'     --@Last_coupon
      ,.03125           --@Rate
      ,101.999005       --@Price
      ,100              --@Redemption
      ,2                --@Frequency
      ,1                --@Basis
      ) as YIELD
This produces the following result.
                 YIELD
----------------------
    0.0287499997059464


This is a bond with an odd short first coupon and an odd long last coupon.
SELECT
   wct.OFLYIELD(
       '2013-03-04'     --@Settlement
      ,'2022-11-28'     --@Maturity
      ,'2012-12-07'     --@Issue
      ,'2013-03-15'     --@First_coupon
      ,'2022-03-15'     --@Last_coupon
      ,.03125           --@Rate
      ,102.104791       --@Price
      ,100              --@Redemption
      ,2                --@Frequency
      ,1                --@Basis
      ) as YIELD
This produces the following result.
                 YIELD
----------------------
    0.0287499999118962


This is an example of a bond paying interest every 26 weeks.
SELECT
   wct.OFLYIELD(
       '2014-10-04'        --@Settlement
      ,'2029-12-12'        --@Maturity
      ,'2014-07-30'        --@Issue
      ,'2015-03-18'        --@First_coupon
      ,'2029-02-28'        --@Last_coupon
      ,.1250               --@Rate
      , 110.846098828263   --@Price
      ,100                 --@Redemption
      ,182                 --@Frequency
      ,9                   --@Basis
   ) as YIELD
This produces the following result.
                 YIELD
----------------------
     0.109999999995322

 

See Also

 



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