PRICE function

This article describes the formula syntax and usage of the PRICE function in Microsoft Excel.

Description

Returns the price per $100 face value of a security that pays periodic interest.

Syntax

PRICE(settlement, maturity, rate, yld, redemption, frequency, [basis])

Important   Dates should be entered by using the DATE function, or as results of other formulas or functions. For example, use DATE(2008,5,23) for the 23rd day of May, 2008. Problems can occur if dates are entered as text.

The PRICE function syntax has the following arguments:

  • Settlement    Required. The security's settlement date. The security settlement date is the date after the issue date when the security is traded to the buyer.

  • Maturity    Required. The security's maturity date. The maturity date is the date when the security expires.

  • Rate    Required. The security's annual coupon rate.

  • Yld    Required. The security's annual yield.

  • Redemption    Required. The security's redemption value per $100 face value.

  • Frequency    Required. The number of coupon payments per year. For annual payments, frequency = 1; for semiannual, frequency = 2; for quarterly, frequency = 4.

  • Basis    Optional. The type of day count basis to use.

Basis

Day count basis

0 or omitted

US (NASD) 30/360

1

Actual/actual

2

Actual/360

3

Actual/365

4

European 30/360

Remarks

  • Microsoft Excel stores dates as sequential serial numbers so they can be used in calculations. By default, January 1, 1900 is serial number 1, and January 1, 2008 is serial number 39448 because it is 39,448 days after January 1, 1900.

  • The settlement date is the date a buyer purchases a coupon, such as a bond. The maturity date is the date when a coupon expires. For example, suppose a 30-year bond is issued on January 1, 2008, and is purchased by a buyer six months later. The issue date would be January 1, 2008, the settlement date would be July 1, 2008, and the maturity date would be January 1, 2038, which is 30 years after the January 1, 2008, issue date.

  • Settlement, maturity, frequency, and basis are truncated to integers.

  • If settlement or maturity is not a valid date, PRICE returns the #VALUE! error value.

  • If yld < 0 or if rate < 0, PRICE returns the #NUM! error value.

  • If redemption ≤ 0, PRICE returns the #NUM! error value.

  • If frequency is any number other than 1, 2, or 4, PRICE returns the #NUM! error value.

  • If basis < 0 or if basis > 4, PRICE returns the #NUM! error value.

  • If settlement ≥ maturity, PRICE returns the #NUM! error value.

Important   When N > 1 (N is the number of coupons payable between the settlement date and redemption date), PRICE is calculated as follows:

Equation

where:

  • DSC = number of days from settlement to next coupon date.

  • E = number of days in coupon period in which the settlement date falls.

  • A = number of days from beginning of coupon period to settlement date.

When N = 1 (N is the number of coupons payable between the settlement date and redemption date), PRICE is calculated as follows:

PRICE formula when N <= 1

Example

Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. For formulas to show results, select them, press F2, and then press Enter. If you need to, you can adjust the column widths to see all the data.

Data

Argument description

2/15/2008

Settlement date

11/15/2017

Maturity date

5.75%

Percent semiannual coupon

6.50%

Percent yield

$100

Redemption value

2

Frequency is semiannual

0

30/360 basis

Formula

Description

Result

=PRICE(A2,A3,A4,A5,A6,A7,A8)

The bond price, for the bond with the arguments specified in cells A2:A8.

$94.63

Applies To: Excel 2013, Excel 2007, Excel 2010, Excel Starter, Excel Online, Excel 2016 for Mac



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