Equivalent Rate Calculator — Convert Compounding Frequencies
Enter a nominal interest rate and its compounding frequency, then choose a target frequency to get the equivalent nominal rate that produces exactly the same effective annual return.
%
Source compounding
Target compounding
Nominal rate at the target compounding frequency that produces the same effective return
6.17%
EARPrincipal
94.2%
Interest earned (EAR)
5.8%
- 1
Source periodic rate
6% ÷ 12 ÷ 100 = 0.5 %Rate per compounding period at the source frequency (monthly). - 2
Effective annual rate (EAR)
(1 + 0.5%)^12 − 1 = 6.167781 %Common benchmark that strips out the compounding frequency. - 3
Target growth per period
(1 + 6.167781%)^(1 ÷ 1) − 1 = 6.167781 % - 4
Equivalent nominal rate
1 × 6.167781% = 6.1678 %
How does this calculator work?
Two nominal rates are equivalent when they produce the same effective annual rate (EAR). Compute EAR = (1+r/n_src)^n_src−1, then find equivalent nominal = n_tgt×((1+EAR)^(1/n_tgt)−1). Enter the source rate and both frequencies; the calculator converts between daily, monthly, quarterly, semi-annual and annual compounding.
Formula
How this is calculated
A nominal interest rate means little without knowing how often it compounds. A 6% rate compounded monthly is not the same as 6% compounded annually — the monthly version produces a higher effective return because interest earned each month itself earns interest for the rest of the year.
The bridge between compounding frequencies is the effective annual rate (EAR): EAR = (1 + r/n)^n − 1, where r is the nominal rate and n is the number of compounding periods per year. Two rates with different compounding frequencies are economically equivalent when they produce the same EAR. To find the equivalent nominal rate for a target compounding frequency n_tgt, invert the EAR formula: equivalent nominal = n_tgt × ((1 + EAR)^(1/n_tgt) − 1).
For example, 6% compounded monthly has EAR = (1 + 0.06/12)^12 − 1 ≈ 6.168%. To match this annually, you need exactly 6.168% (annual = EAR). To match it quarterly, you need 4 × ((1.06168)^(1/4) − 1) ≈ 6.045%. The calculator performs this conversion for any pair of frequencies from daily to annual.
Frequently asked questions
A nominal rate is the stated annual rate without accounting for compounding within the year. The effective annual rate (EAR) is the actual rate of return after compounding — it equals the nominal rate only when compounding is annual. For all other frequencies, EAR > nominal rate.
No. 6% nominal compounded monthly gives EAR ≈ 6.168%, while 6% nominal compounded annually gives EAR = 6.000%. The monthly version is slightly better for savers (worse for borrowers). This calculator finds the annual equivalent of the monthly rate (≈ 6.168% annually) so they can be compared fairly.
If the source and target compounding frequencies are identical, the equivalent nominal rate equals the original rate — there is no conversion needed. The EAR is still computed and displayed for reference.
Also known as
TG we-Calculate Editorial Team. (2026). Equivalent Rate Calculator — Convert Compounding Frequencies [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/equivalent-rate-calculator
TG we-Calculate Editorial Team. "Equivalent Rate Calculator — Convert Compounding Frequencies." TG we-Calculate. 2026. https://we-calculate.com/calculator/equivalent-rate-calculator.
TG we-Calculate Editorial Team, "Equivalent Rate Calculator — Convert Compounding Frequencies," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/equivalent-rate-calculator
@misc{wecalculate_equivalent_rate_calculator, title = {Equivalent Rate Calculator — Convert Compounding Frequencies}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/equivalent-rate-calculator}}, year = {2026}, note = {TG we-Calculate} }
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