A “6% APR” compounded monthly actually earns more than 6% a year. EFFECT converts a stated (nominal) rate into the true effective annual rate; NOMINAL reverses it — essential for comparing offers on equal footing.
The example
A 6% nominal rate at different compounding frequencies.
| A | B | |
|---|---|---|
| 1 | Compounding | Effective rate |
| 2 | Annual (1) | 6.00% |
| 3 | Monthly (12) | 6.17% |
| 4 | Daily (365) | 6.18% |
The formula
The effective annual rate of 6% nominal, monthly:
How it works
Compounding turns a nominal rate into a higher real one:
EFFECT(nominal, periods)answers “what annual rate would I actually earn?” — 6% compounded monthly really yields ~6.17%.- More frequent compounding → slightly higher effective rate (monthly beats annual; daily beats monthly).
NOMINAL(effective, periods)goes the other way — the stated rate that produces a given effective rate.- Use EFFECT to compare offers: a 5.9% daily-compounded loan vs a 6% annual one — convert both to effective rates first.
The formula behind it: EFFECT computes (1 + nominal/periods)^periods - 1. You can write that directly too, but EFFECT/NOMINAL make the intent (and the comparison) crystal clear.
Try it: interactive demo
Set a nominal rate and compounding frequency.
Variations
Nominal from effective
Reverse the conversion:
By the raw formula
EFFECT spelled out:
Compare two loans
Convert both APRs to EFFECT and pick the lower.
Pitfalls & errors
Rate as a decimal. Use 0.06, not 6. A whole number gives a nonsensical effective rate.
APR vs APY. APR is usually the nominal rate; APY is the effective rate. EFFECT converts APR→APY, which is what you compare.
Match the period count. Monthly is 12, daily 365 (or 360 in some conventions). Use the frequency the lender actually uses.
Practice workbook
Frequently asked questions
How do I calculate the effective interest rate in Excel?
What's the difference between nominal and effective rate?
How do I convert an effective rate back to nominal?
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