PRICE
The price per 100 of a bond that pays coupons, from its yield.
Group: Financial. Compatible with DAX.
Syntax
PRICE ( <settlement>, <maturity>, <rate>, <yld>, <redemption>, <frequency> [, <basis>] )
| Parameter | Type | Description |
|---|---|---|
settlement | Date | The day the buyer takes the security over; later than its issue. |
maturity | Date | The day the security ends and its face value is repaid. |
rate | Number | The coupon: the interest paid a year, as a decimal of the face value (0.04 for 4 %). |
yld | Number | The yield a year the buyer earns, as a decimal. |
redemption | Number | What is repaid at maturity, in percent of the face value: usually 100. |
frequency | Whole number | Coupons a year: 1 for yearly, 2 for half-yearly, 4 for quarterly. |
basis | Whole number optional | The day count, by number: US 30/360 (0, when left out), actual/actual (1), actual/360 (2), actual/365 (3) or European 30/360 (4). |
Returns
Number. The clean price, as a percentage of face value, without the interest accrued since the last coupon.
Remarks
- The coupons still to come and the redemption, each discounted at the yield from settlement, less the interest accrued since the last coupon (
ACCRINT), which the buyer pays separately. - A bond whose coupon equals its yield is priced at its redemption on a coupon date: 100.
- With one coupon left, the payment is discounted at simple interest.
- A coupon or yield below 0, a redemption of 0 or less, or settlement on or after maturity, is an error.
- The dates are taken as whole days. frequency and basis are rounded to whole numbers first; a frequency other than 1, 2 or 4, or a basis outside 0 to 4, is an error.
Examples
A 5.75 % bond at a 6.5 % yield
Bought 15 February 2008, maturing 15 November 2017, half-yearly coupons on 30/360.
EVALUATE
ROW (
"Price", PRICE ( DATE ( 2008, 2, 15 ), DATE ( 2017, 11, 15 ), 0.0575, 0.065, 100, 2, 0 )
)
| Price |
|---|
| 94.6343616213221 |
Coupon equal to the yield
EVALUATE
ROW (
"Price", PRICE ( DATE ( 2026, 11, 2 ), DATE ( 2031, 11, 2 ), 0.04, 0.04, 100, 1, 1 )
)
| Price |
|---|
| 100 |