Difference between revisions of "Documentation/How Tos/Calc: DURATION function"
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+ | |bookid=1234''' | ||
+ | |booktitle=<div style="padding: 8px; font-size: 140%; font-weight: bold; background-color: #9BC0F5;">CALC FUNCTIONS</div> | ||
+ | |ShowParttitle=block|parttitle=[[Documentation/How_Tos/Calc:_Financial_functions|<div style="font-size: 140%;">Financial Functions]] | ||
+ | |ShowNextPage=block|NextPage=Documentation/How_Tos/Calc:_DURATION_ADD_function | ||
+ | |ShowPrevPage=block|PrevPage=Documentation/How_Tos/Calc:_DISC_function | ||
+ | |ShowPrevPart=block|PrevPart=Documentation/How_Tos/Calc:_Date_%26_Time_functions | ||
+ | |ShowNextPart=block|NextPart=Documentation/How_Tos/Calc:_Information_functions | ||
+ | |toccontent= <div style="padding: 4px; font-size: 130%; font-weight: hidden; background-color:#DCE9FC;">FUNCTIONS</div> | ||
+ | |||
+ | <div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Depreciation</div> | ||
+ | * [[Documentation/How_Tos/Calc:_AMORDEGRC_function|<div style="font-size: 120%;">Amordegrc]] | ||
+ | * [[Documentation/How_Tos/Calc:_AMORLINC_function|<div style="font-size: 120%;">Amorlinc]] | ||
+ | * [[Documentation/How_Tos/Calc:_DB_function|<div style="font-size: 120%;">Db]] | ||
+ | * [[Documentation/How_Tos/Calc:_DDB_function|<div style="font-size: 120%;">Ddb]] | ||
+ | * [[Documentation/How_Tos/Calc:_SLN_function|<div style="font-size: 120%;">Sln]] | ||
+ | * [[Documentation/How_Tos/Calc:_SYD_function|<div style="font-size: 120%;">Syd]] | ||
+ | * [[Documentation/How_Tos/Calc:_VDB_function|<div style="font-size: 120%;">Vdb]] | ||
+ | |||
+ | <div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Payment Streams, Annuities, Loans</div> | ||
+ | * [[Documentation/How_Tos/Calc:_CUMIPMT_function|<div style="font-size: 120%;">Cumipmt]] | ||
+ | * [[Documentation/How_Tos/Calc:_CUMIPMT_ADD_function|<div style="font-size: 120%;">Cumipmt Add]] | ||
+ | * [[Documentation/How_Tos/Calc:_CUMPRINC_function|<div style="font-size: 120%;">Cumprinc]] | ||
+ | * [[Documentation/How_Tos/Calc:_CUMPRINC_ADD_function|<div style="font-size: 120%;">Cumpinc Add]] | ||
+ | * [[Documentation/How_Tos/Calc:_FV_function|<div style="font-size: 120%;">Fv]] | ||
+ | * [[Documentation/How_Tos/Calc:_FVSCHEDULE_function|<div style="font-size: 120%;">Fvschedule]] | ||
+ | * [[Documentation/How_Tos/Calc:_IPMT_function|<div style="font-size: 120%;">Ipmt]] | ||
+ | * [[Documentation/How_Tos/Calc:_IRR_function|<div style="font-size: 120%;">Irr]] | ||
+ | * [[Documentation/How_Tos/Calc:_ISPMT_function|<div style="font-size: 120%;">Ispmt]] | ||
+ | * [[Documentation/How_Tos/Calc:_MIRR_function|<div style="font-size: 120%;">Mirr]] | ||
+ | * [[Documentation/How_Tos/Calc:_NPER_function|<div style="font-size: 120%;">Nper]] | ||
+ | * [[Documentation/How_Tos/Calc:_NPV_function|<div style="font-size: 120%;">Npv]] | ||
+ | * [[Documentation/How_Tos/Calc:_PMT_function|<div style="font-size: 120%;">Pmt]] | ||
+ | * [[Documentation/How_Tos/Calc:_PPMT_function|<div style="font-size: 120%;">Ppmt]] | ||
+ | * [[Documentation/How_Tos/Calc:_PV_function|<div style="font-size: 120%;">Pv]] | ||
+ | * [[Documentation/How_Tos/Calc:_RATE_function|<div style="font-size: 120%;">Rate]] | ||
+ | * [[Documentation/How_Tos/Calc:_RRI_function|<div style="font-size: 120%;">Rri]] | ||
+ | * [[Documentation/How_Tos/Calc:_XIRR_function|<div style="font-size: 120%;">Xirr]] | ||
+ | * [[Documentation/How_Tos/Calc:_XNPV_function|<div style="font-size: 120%;">Xnpv]] | ||
+ | |||
+ | <div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Securities</div> | ||
+ | * [[Documentation/How_Tos/Calc:_ACCRINT_function|<div style="font-size: 120%;">Accrint]] | ||
+ | * [[Documentation/How_Tos/Calc:_ACCRINTM_function|<div style="font-size: 120%;">Accrintm]] | ||
+ | * [[Documentation/How_Tos/Calc:_DISC_function|<div style="font-size: 120%;">Disc]] | ||
+ | * [[Documentation/How_Tos/Calc:_DURATION_function|<div style="font-size: 120%; border-style: double; border-color:#778899;">Duration]] | ||
+ | * [[Documentation/How_Tos/Calc:_DURATION_ADD_function|<div style="font-size: 120%;">Duration Add]] | ||
+ | * [[Documentation/How_Tos/Calc:_EFFECTIVE_function|<div style="font-size: 120%;">Effective]] | ||
+ | * [[Documentation/How_Tos/Calc:_EFFECT_ADD_function|<div style="font-size: 120%;">Effect Add]] | ||
+ | * [[Documentation/How_Tos/Calc:_INTRATE_function|<div style="font-size: 120%;">Intrate]] | ||
+ | * [[Documentation/How_Tos/Calc:_MDURATION_function|<div style="font-size: 120%;">Mduration]] | ||
+ | * [[Documentation/How_Tos/Calc:_DURATION_ADD_function|<div style="font-size: 120%;">Duration Add]] | ||
+ | * [[Documentation/How_Tos/Calc:_NOMINAL_function|<div style="font-size: 120%;">Nominal]] | ||
+ | * [[Documentation/How_Tos/Calc:_NOMINAL_ADD_function|<div style="font-size: 120%;">Nominal Add]] | ||
+ | * [[Documentation/How_Tos/Calc:_ODDFPRICE_function|<div style="font-size: 120%;">Oddfprice]] | ||
+ | * [[Documentation/How_Tos/Calc:_ODDFYIELD_function|<div style="font-size: 120%;">Oddfyield]] | ||
+ | |||
+ | <div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Coupons</div> | ||
+ | * [[Documentation/How_Tos/Calc:_COUPDAYBS_function|<div style="font-size: 120%;">Coupdaybs]] | ||
+ | * [[Documentation/How_Tos/Calc:_COUPDAYS_function|<div style="font-size: 120%;">Coupdays]] | ||
+ | * [[Documentation/How_Tos/Calc:_COUPDAYSNC_function|<div style="font-size: 120%;">Coupdaysnc]] | ||
+ | * [[Documentation/How_Tos/Calc:_COUPNCD_function|<div style="font-size: 120%;">Coupncd]] | ||
+ | * [[Documentation/How_Tos/Calc:_COUPNUM_function|<div style="font-size: 120%;">Coupnum]] | ||
+ | * [[Documentation/How_Tos/Calc:_COUPPCD_function|<div style="font-size: 120%;">Couppcd]] | ||
+ | |||
+ | <div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Miscellaneous</div> | ||
+ | |||
+ | * [[Documentation/How_Tos/Calc:_DOLLARDE_function|<div style="font-size: 120%;">Coupdaybs]] | ||
+ | * [[Documentation/How_Tos/Calc:_DOLLARFR_function|<div style="font-size: 120%;">Coupdays]] | ||
+ | }}__TOC__ | ||
== DURATION == | == DURATION == |
Revision as of 02:20, 1 June 2013
CALC FUNCTIONS
- Financial FunctionsDepreciation
- AmordegrcAmorlincDbDdbSlnSydVdbPayment Streams, Annuities, Loans
- CumipmtCumipmt AddCumprincCumpinc AddFvFvscheduleIpmtIrrIspmtMirrNperNpvPmtPpmtPvRateRriXirrXnpvSecurities
- AccrintAccrintmDiscDurationDuration AddEffectiveEffect AddIntrateMdurationDuration AddNominalNominal AddOddfpriceOddfyieldCoupons
- CoupdaybsCoupdaysCoupdaysncCoupncdCoupnum
Contents
DURATION
Returns the number of periods needed for an investment to reach a certain value.
Syntax:
DURATION(rate; present_value; future_value)
- rate: the interest rate per period that will apply to the investment.
- present_value: the value of the investment now.
- future_value: the desired value of the investment in the future.
- DURATION returns an estimate of the number of periods required to turn present_value into future_value at a constant interest rate of rate, compounded each period.
- It solves the equation:
- present_value * (1 + rate)duration = future_value,
- giving a result:
- DURATION(rate; present_value; future_value) = LOG(future_value/present_value; 1 + rate).
- The result is exact for whole periods, and approximate for partial periods.
Example:
DURATION(10%; 100; 121)
- returns 2. $100 invested at a 10% compounded annual rate is worth $110 next year and $121 in two years time.
Issues:
- Calc's DURATION function is implemented as G_DURATION in Gnumeric, and is not implemented in Excel.
- The DURATION function as implemented in Gnumeric and Excel (Macaulay duration) is implemented as DURATION_ADD in Calc.
- The inexactness for fractional periods arises because interest is calculated linearly during a period. For example, $100 at 10% is worth $105 in half a year, yet DURATION(10%; 100; 105) does not return exactly 0.5. This may be of more theoretical than practical importance.
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