Function SecurityPeriodicPrice(SettlementDate, MaturityDate, ParValue, Redemption, Frequency, CouponRate, Yield, Basis)

SecurityPeriodicPrice

The function SecurityPeriodicPrice returns the price at settlement date of a security that pays interest at the end of each coupon period.

SecurityPeriodicPrice(
    SettlementDate,  ! (input) scalar string expression
    MaturityDate,    ! (input) scalar string expression
    ParValue,        ! (input) numerical expression
    Redemption,      ! (input) numerical expression
    Frequency,       ! (input) numerical expression
    CouponRate,      ! (input) numerical expression
    Yield,           ! (input) numerical expression
    [Basis]          ! (optional) numerical expression
    )

Arguments

SettlementDate

The date of settlement of the security. SettlementDate must be in date format.

MaturityDate

The date of maturity of the security. MaturityDate must also be in date format and must be a date after SettlementDate.

ParValue

The starting value of the security at issue date. ParValue must be a positive real number.

Redemption

The amount repaid for the security at the maturity date. Redemption must be a positive real number.

Frequency

The number of coupon payments in one year. Frequency must be 1 (annual), 2 (semi-annual) or 4 (quarterly).

CouponRate

The annual interest rate of the security as a percentage of the par value. CouponRate must be a nonnegative real number.

Yield

The yield of the security. Yield must be a nonnegative real number.

Basis

The day-count basis method to be used. The default is 1.

Return Value

The function SecurityPeriodicPrice returns the price of the security at settlement date.

Note

  • This function can be used in an objective function or constraint and the input parameters ParValue, Redemption, CouponRate, and Yield can be used as a variable.

  • The function SecurityPeriodicPrice is similar to the Excel function PRICE <https://support.microsoft.com/en-us/office/price-function-3ea9deac-8dfa-436f-a7c8-17ea02c21b0a>.

Example

The code:

_p_spp := SecurityPeriodicPrice(
    SettlementDate :  "2024-01-01",
    MaturityDate   :  "2030-01-01",
    ParValue       :  100,
    Redemption     :  100,
    Frequency      :  4,
    CouponRate     :  0.06,
    Yield          :  0.07,
    Basis          :  1);
block where single_column_display := 1, listing_number_precision := 6 ;
    display _p_spp ;
endblock ;

Produces:

_p_spp := 95.134829 ;

References

  • Day count basis methods.

  • General equations for securities with multiple coupons.