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

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:  returns approximately <tt>'''6.14%'''</tt>, which is the effective rate of an investment with a nominal rate of 6% per annum, compounded quarterly.
 
:  returns approximately <tt>'''6.14%'''</tt>, which is the effective rate of an investment with a nominal rate of 6% per annum, compounded quarterly.
  
=== See also: ===
+
{{Documentation/SeeAlso|
[[Documentation/How_Tos/Calc: EFFECT_ADD function|'''EFFECT_ADD''']],
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* [[Documentation/How_Tos/Calc: EFFECT_ADD function|EFFECT_ADD]],
[[Documentation/How_Tos/Calc: NOMINAL function|'''NOMINAL''']],
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* [[Documentation/How_Tos/Calc: NOMINAL function|NOMINAL]],
[[Documentation/How_Tos/Calc: NOMINAL_ADD function|'''NOMINAL_ADD''']]
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* [[Documentation/How_Tos/Calc: NOMINAL_ADD function|NOMINAL_ADD]]
  
'''[[Documentation/How_Tos/Calc: Derivation of Financial Formulas|Derivation of Financial Formulas]]'''
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* [[Documentation/How_Tos/Calc: Derivation of Financial Formulas|Derivation of Financial Formulas]]'''
  
[[Documentation/How_Tos/Calc: Financial functions|'''Financial functions''']]
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* [[Documentation/How_Tos/Calc: Financial functions|Financial functions]]
  
 
=== Issues: ===
 
=== Issues: ===
 
* According to the draft ODFF standard, this function will be replaced with a new '''EFFECT''' function.
 
* 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.
 
* 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.

Revision as of 13:46, 25 February 2009


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.

{{Documentation/SeeAlso|

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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