PRICE

Updated 2024-02-28 20:42:43.407000

Syntax

SELECT [westclintech].[wct].[PRICE] (
  <@Settlement, datetime,>
 ,<@Maturity, datetime,>
 ,<@Rate, float,>
 ,<@Yld, float,>
 ,<@Redemption, float,>
 ,<@Frequency, float,>
 ,<@Basis, nvarchar(4000),>)

Description

Use the scalar function PRICE to calculate the price for a security that pays periodic interest and has a par value of 100. The formula for price with more than one coupon period to redemption is:

PRICE=\ \left(\frac{\frac{-C}{Y}+RV}{\left(1+Y\right)^N}-\frac{-C}{Y}\right)\ast{(1+Y)}^{1-\frac{DSC}{E}}-A

WhereC = 100 * coupon rate / frequencyY = yield / frequencyRV = redemption valueDSC = number of days from settlement to couponN = the number of coupons between the settlement date and the maturity dateE = the number of days in the current coupon periodA = C * accrued days / E

When the settlement date is greater than or equal to the last coupon date, the formula for price is:

PRICE=\ \frac{RV+C}{1+\ \left(Y\ast\ \frac{DSR}{E}\right)}-A

WhereC = 100 * coupon rate / frequencyY = yield / frequencyRV = redemption valueDSR = number of days from settlement to redemptionE = the number of days in the current coupon periodA = C * accrued days / E

Arguments

@Yld

the security’s annual yield. @Yld 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.

{"columns":[{"field":"@Basis","width":313},{"field":"Day count basis","width":277}],"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"}]}

@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.

@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.

@Redemption

the security’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.

Return Type

float

Remarks

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

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

If @Rate is NULL then @Rate = 0.

If @Yield is NULL then @Yield = 0.

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 PRICE returns an error.

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

Examples

In this example we calculate the price for a bond maturing on 2034-06-15. The settlement date is 2014-05-01, the yield is 2.76%, the coupon rate is 2.50%, the redemption value is 100, the coupon is paid twice-yearly, and the basis code is 1.

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

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

                    0.025,        --@Rate

                    0.0276,       --@Yield

                    100,          --@Redemption

                    2,            --@Frequency

                    1             --@Basis

                ) as PRICE;