The DURATION function, one of the Financial functions, returns the Macauley duration for an assumed par value of $100. Duration is defined as the weighted average of the present value of cash flows, and is used as a measure of a bond price's response to changes in yield.
Syntax
DURATION(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(2018,5,23) for the 23rd day of May, 2018. Problems can occur if dates are entered as text.
The DURATION function syntax has the following arguments:
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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.
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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.
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Yld Required. The security's annual yield.
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Frequency Required. The number of coupon payments per year. For annual payments, frequency = 1; for semiannual, frequency = 2; for quarterly, frequency = 4.
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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
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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, 2018 is serial number 43101 because it is 43,101 days after January 1, 1900.
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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, 2018, and is purchased by a buyer six months later. The issue date would be January 1, 2018, the settlement date would be July 1, 2018, and the maturity date would be January 1, 2048, which is 30 years after the January 1, 2018, issue date.
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Settlement, maturity, frequency, and basis are truncated to integers.
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If settlement or maturity is not a valid date, DURATION returns the #VALUE! error value.
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If coupon < 0 or if yld < 0, DURATION returns the #NUM! error value.
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If frequency is any number other than 1, 2, or 4, DURATION returns the #NUM! error value.
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If basis < 0 or if basis > 4, DURATION returns the #NUM! error value.
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If settlement ≥ maturity, DURATION returns the #NUM! error value.
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 |
|
|---|---|---|
|
07/01/2018 |
Settlement date |
|
|
01/01/2048 |
Maturity date |
|
|
8.0% |
Percent coupon |
|
|
9.0% |
Percent yield |
|
|
2 |
Frequency is semiannual (see above) |
|
|
1 |
Actual/actual basis (see above) |
|
|
Formula |
Description |
Result |
|
=DURATION(A2,A3,A4,A5,A6,A7) |
The duration, for the bond with the terms above |
10.9191453 |
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