# MDURATION function

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

## Description

Returns the modified Macauley duration for a security with an assumed par value of \$100.

## Syntax

MDURATION(settlement, maturity, coupon, yld, 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 MDURATION 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.

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

• Yld    Required. The security's annual yield.

• 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 is 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, MDURATION returns the #VALUE! error value.

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

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

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

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

• Modified duration is defined as follows:

## 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 Description 1/1/2008 Settlement date 1/1/2016 Maturity date 8% Percent coupon 9% Percent yield 2 Frequency is semiannual (see above) 1 Actual/actual basis (see above) Formula Description Result =MDURATION(A2,A3,A4,A5,A6,A7) The modified duration, for the bond with the terms specified in A2:A5. 5.736
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