Difference between revisions of "Manuals/calci/DURATION"
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− | =DURATION( | + | =DURATION(SettlementDate, MaturityDate, Coupon, Yield, Frequency, Basis)= |
− | *Where | + | *Where <math>SettlementDate</math> is the security's settlement date (a date when coupon or a bond is purchased), |
− | * | + | *<math>MaturityDate</math> is the security's maturity date (a date when coupon or a bond expires), |
− | * | + | *<math>Coupon</math> is the security's annual coupon rate, |
− | * | + | *<math>Yield</math> is the security's annual yield, |
− | * | + | *<math>Frequency</math> is the number of coupon payments per year, and |
− | * | + | *<math>Basis</math> is the type of day count basis to use. |
DURATION() gives the Macauley duration of a security for an assumed par value of $100. | DURATION() gives the Macauley duration of a security for an assumed par value of $100. | ||
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== Description == | == Description == | ||
− | DURATION( | + | DURATION(SettlementDate, MaturityDate, Coupon, Yield, Frequency, Basis) |
DURATION() calculates the rate of change of price with respect to yields. It is the weighted average time until cash flows are received. | DURATION() calculates the rate of change of price with respect to yields. It is the weighted average time until cash flows are received. | ||
− | * | + | *<math>SettlementDate</math> and <math>MaturityDate</math> dates should be entered either in 'date format' or 'dates returned using formulas'. If dates are not valid, Calci displays #N/A error message. |
− | *If | + | *If <math>SettlementDate</math> date ≥ <math>MaturityDate</math> date, Calci displays #N/A error message. |
− | * | + | *<math>Coupon</math> and <math>Yield</math> values must be greater than or equal to zero. |
− | *The values for | + | *The values for <math>Frequency</math> should be 1,2 or 4. |
For Annual payment, frequency = 1, | For Annual payment, frequency = 1, | ||
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For Quarterly payment, frequency = 4. | For Quarterly payment, frequency = 4. | ||
− | * | + | *<math>Basis</math> value is optional. If omitted, Calci assumes it to be 0. |
− | Below table shows the use of | + | Below table shows the use of <math>Basis</math> values: |
{| class="wikitable" | {| class="wikitable" | ||
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|} | |} | ||
− | *If | + | *If <math>Basis</math> value is other than 0 to 4, Calci displays #N/A error message. |
== Examples == | == Examples == | ||
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|} | |} | ||
− | =DURATION(A1,A2,A3,A4,A5,A6) ''displays 5.045790027952841'' as a result. | + | =DURATION(A1,A2,A3,A4,A5,A6) ''displays 5.045790027952841'' as a result. |
+ | =DURATION(DATE(2013,6,1),DATE(2013,12,31),"6%","8%",1,1) ''displays 1.9423897589712318'' as a result. | ||
== See Also == | == See Also == |
Revision as of 17:13, 18 January 2014
DURATION(SettlementDate, MaturityDate, Coupon, Yield, Frequency, Basis)
- Where is the security's settlement date (a date when coupon or a bond is purchased),
- is the security's maturity date (a date when coupon or a bond expires),
- is the security's annual coupon rate,
- is the security's annual yield,
- is the number of coupon payments per year, and
- is the type of day count basis to use.
DURATION() gives the Macauley duration of a security for an assumed par value of $100.
Description
DURATION(SettlementDate, MaturityDate, Coupon, Yield, Frequency, Basis)
DURATION() calculates the rate of change of price with respect to yields. It is the weighted average time until cash flows are received.
- and dates should be entered either in 'date format' or 'dates returned using formulas'. If dates are not valid, Calci displays #N/A error message.
- If date ≥ date, Calci displays #N/A error message.
- and values must be greater than or equal to zero.
- The values for should be 1,2 or 4.
For Annual payment, frequency = 1,
For Semi-annual payment, frequency = 2,
For Quarterly payment, frequency = 4.
- value is optional. If omitted, Calci assumes it to be 0.
Below table shows the use of values:
Basis | Description |
---|---|
0 | US (NASD) 30/360 |
1 | Actual/actual |
2 | Actual/360 |
3 | Actual/365 |
4 | European 30/365 |
- If value is other than 0 to 4, Calci displays #N/A error message.
Examples
Consider the following example that shows the use of DURATION function:
September 10, 2010 | ||
September 10, 2016 | ||
6% | ||
9.0% | ||
2 | ||
1 |
=DURATION(A1,A2,A3,A4,A5,A6) displays 5.045790027952841 as a result. =DURATION(DATE(2013,6,1),DATE(2013,12,31),"6%","8%",1,1) displays 1.9423897589712318 as a result.