Difference between revisions of "Documentation/How Tos/Calc: EFFECTIVE function"

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{{Documentation/MasterTOC
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|bookid=1234'''
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|booktitle=<div style="padding: 8px; font-size: 140%; font-weight: bold; background-color: #9BC0F5;">CALC FUNCTIONS</div>
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|ShowParttitle=block|parttitle=[[Documentation/How_Tos/Calc:_Financial_functions|<div style="font-size: 140%;">Financial Functions]]
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|ShowNextPage=block|NextPage=Documentation/How_Tos/Calc:_EFFECT_ADD_function
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|ShowPrevPage=block|PrevPage=Documentation/How_Tos/Calc:_DURATION_ADD_function
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|toccontent= <div style="padding: 4px; font-size: 130%; font-weight: hidden; background-color:#DCE9FC;">FUNCTIONS</div>
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<div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Depreciation</div>
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* [[Documentation/How_Tos/Calc:_AMORDEGRC_function|<div style="font-size: 120%;">Amordegrc]]
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* [[Documentation/How_Tos/Calc:_AMORLINC_function|<div style="font-size: 120%;">Amorlinc]]
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* [[Documentation/How_Tos/Calc:_DB_function|<div style="font-size: 120%;">Db]]
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* [[Documentation/How_Tos/Calc:_DDB_function|<div style="font-size: 120%;">Ddb]]
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* [[Documentation/How_Tos/Calc:_SLN_function|<div style="font-size: 120%;">Sln]]
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* [[Documentation/How_Tos/Calc:_SYD_function|<div style="font-size: 120%;">Syd]]
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* [[Documentation/How_Tos/Calc:_VDB_function|<div style="font-size: 120%;">Vdb]]
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<div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Payment Streams, Annuities, Loans</div>
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* [[Documentation/How_Tos/Calc:_CUMIPMT_function|<div style="font-size: 120%;">Cumipmt]]
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* [[Documentation/How_Tos/Calc:_CUMIPMT_ADD_function|<div style="font-size: 120%;">Cumipmt Add]]
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* [[Documentation/How_Tos/Calc:_CUMPRINC_function|<div style="font-size: 120%;">Cumprinc]]
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* [[Documentation/How_Tos/Calc:_CUMPRINC_ADD_function|<div style="font-size: 120%;">Cumpinc Add]]
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* [[Documentation/How_Tos/Calc:_FV_function|<div style="font-size: 120%;">Fv]]
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* [[Documentation/How_Tos/Calc:_FVSCHEDULE_function|<div style="font-size: 120%;">Fvschedule]]
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* [[Documentation/How_Tos/Calc:_IPMT_function|<div style="font-size: 120%;">Ipmt]]
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* [[Documentation/How_Tos/Calc:_IRR_function|<div style="font-size: 120%;">Irr]]
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* [[Documentation/How_Tos/Calc:_ISPMT_function|<div style="font-size: 120%;">Ispmt]]
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* [[Documentation/How_Tos/Calc:_MIRR_function|<div style="font-size: 120%;">Mirr]]
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* [[Documentation/How_Tos/Calc:_NPER_function|<div style="font-size: 120%;">Nper]]
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* [[Documentation/How_Tos/Calc:_NPV_function|<div style="font-size: 120%;">Npv]]
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* [[Documentation/How_Tos/Calc:_PMT_function|<div style="font-size: 120%;">Pmt]]
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* [[Documentation/How_Tos/Calc:_PPMT_function|<div style="font-size: 120%;">Ppmt]]
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* [[Documentation/How_Tos/Calc:_PV_function|<div style="font-size: 120%;">Pv]]
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* [[Documentation/How_Tos/Calc:_RATE_function|<div style="font-size: 120%;">Rate]]
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* [[Documentation/How_Tos/Calc:_RRI_function|<div style="font-size: 120%;">Rri]]
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* [[Documentation/How_Tos/Calc:_XIRR_function|<div style="font-size: 120%;">Xirr]]
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* [[Documentation/How_Tos/Calc:_XNPV_function|<div style="font-size: 120%;">Xnpv]]
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<div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Securities</div>
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* [[Documentation/How_Tos/Calc:_ACCRINT_function|<div style="font-size: 120%;">Accrint]]
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* [[Documentation/How_Tos/Calc:_ACCRINTM_function|<div style="font-size: 120%;">Accrintm]]
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* [[Documentation/How_Tos/Calc:_DISC_function|<div style="font-size: 120%;">Disc]]
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* [[Documentation/How_Tos/Calc:_DURATION_function|<div style="font-size: 120%;">Duration]]
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* [[Documentation/How_Tos/Calc:_DURATION_ADD_function|<div style="font-size: 120%;">Duration Add]]
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* [[Documentation/How_Tos/Calc:_EFFECTIVE_function|<div style="font-size: 120%; border-style: double; border-color:#778899;">Effective]]
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* [[Documentation/How_Tos/Calc:_EFFECT_ADD_function|<div style="font-size: 120%;">Effect Add]]
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* [[Documentation/How_Tos/Calc:_INTRATE_function|<div style="font-size: 120%;">Intrate]]
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* [[Documentation/How_Tos/Calc:_MDURATION_function|<div style="font-size: 120%;">Mduration]]
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* [[Documentation/How_Tos/Calc:_DURATION_ADD_function|<div style="font-size: 120%;">Duration Add]]
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* [[Documentation/How_Tos/Calc:_NOMINAL_function|<div style="font-size: 120%;">Nominal]]
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* [[Documentation/How_Tos/Calc:_NOMINAL_ADD_function|<div style="font-size: 120%;">Nominal Add]]
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* [[Documentation/How_Tos/Calc:_ODDFPRICE_function|<div style="font-size: 120%;">Oddfprice]]
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* [[Documentation/How_Tos/Calc:_ODDFYIELD_function|<div style="font-size: 120%;">Oddfyield]]
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<div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Coupons</div>
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* [[Documentation/How_Tos/Calc:_COUPDAYBS_function|<div style="font-size: 120%;">Coupdaybs]]
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* [[Documentation/How_Tos/Calc:_COUPDAYS_function|<div style="font-size: 120%;">Coupdays]]
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* [[Documentation/How_Tos/Calc:_COUPDAYSNC_function|<div style="font-size: 120%;">Coupdaysnc]]
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* [[Documentation/How_Tos/Calc:_COUPNCD_function|<div style="font-size: 120%;">Coupncd]]
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* [[Documentation/How_Tos/Calc:_COUPNUM_function|<div style="font-size: 120%;">Coupnum]]
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* [[Documentation/How_Tos/Calc:_COUPPCD_function|<div style="font-size: 120%;">Couppcd]]
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<div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Miscellaneous</div>
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* [[Documentation/How_Tos/Calc:_DOLLARDE_function|<div style="font-size: 120%;">Coupdaybs]]
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* [[Documentation/How_Tos/Calc:_DOLLARFR_function|<div style="font-size: 120%;">Coupdays]]
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}}__TOC__
  
 
== EFFECTIVE ==
 
== EFFECTIVE ==

Revision as of 02:26, 1 June 2013


EFFECTIVE

Returns the effective compounded interest rate given a nominal interest rate.

Syntax:

EFFECTIVE(nom_rate; num)

nom_rate: the nominal interest rate.
num: the number of times interest is credited / compounded during the period that nom_rate applies to.
If an investment has a nominal rate, say for a year, but interest is paid and credited say each quarter, the interest paid each quarter will itself start earning interest. This increases the effective value. This function returns the effective rate - that is, the rate that would have to be paid at the end of the (say) year to give the same return.
The formula used is:
effective_rate = (1 + nom_rate/num)num - 1

Example:

EFFECTIVE(6%; 4)

returns approximately 6.14%, which is the effective rate of an investment with a nominal rate of 6% per annum, compounded quarterly.

Issues:

  • According to the draft ODFF standard, this function will be replaced with a new EFFECT function.
  • The calculation assumes that interest is credited at the end of exactly equal periods. In reality different quarter-years, for example, have different numbers of days.
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