Documentation/How Tos/Calc: EFFECT ADD function
From Apache OpenOffice Wiki
EFFECT_ADD
Returns the effective compounded interest rate given a nominal interest rate.
Syntax:
EFFECT_ADD(rate; num)
- rate: the nominal interest rate.
- num: the number of times interest is credited / compounded during the period that 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 + rate/num)^num ) - 1
Example:
EFFECT_ADD(0.06; 4)
- returns approximately 0.0614, which is the effective rate of an investment with a nominal rate of 6% per annum, compounded quarterly.
See also:
EFFECTIVE, NOMINAL, NOMINAL_ADD
Derivation of Financial Formulas
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.