EFFECT_ADD function
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EFFECT_ADD
Returns the effective compounded interest rate given a nominal interest rate.
Syntax:
EFFECT_ADD(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:
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.
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.
See Also