Finance

Business Effective Annual Rate Calculator (5 Years)

Convert a nominal annual rate to an effective annual rate. This business version uses a 5-year planning term as its starting point.

The effective annual rate shown is the true yearly cost after compounding, so a higher figure means the loan costs more over a year than the nominal rate alone suggests.

Formula

Effective rate equals one plus nominal rate divided by periods, to the power of periods, minus one.

How it works

More frequent compounding raises the effective rate slightly above the nominal rate.

Worked example

Nominal rate 6%, compounding 12 times a year, term 5 years. Using the formula shown on this page, the effective annual rate is one plus 6 divided by 100 and then by 12, which is 1.005, raised to the power of 12, which is about 1.061678, minus one, which is 6.17%. That 6.17% is the same on every page in this group, because the term in years is a planning horizon, not an input in the formula. As a term illustration only, not a separate output of this page, every $10,000 borrowed grows to about $13,488.50 over 5 years at the 6.17% effective rate, compared with about $13,382.26 at a flat 6% with no compounding. The difference, $106.25, is the cost of monthly compounding alone over 5 years, and the totals are rounded to the nearest cent.

Who this term suits for a business: a small shop or cafe checking a short working-capital or shop-fit loan quote, where the owner wants the true yearly cost before signing, not just the headline rate in the advert.

FAQs

What is an effective rate?
The effective rate is the true yearly rate after allowing for compounding during the year.

Is this business calculator exact?
No, it is an estimate for planning only, based on the numbers you enter.

Are these figures financial advice?
No, they are estimates for planning only, not financial advice. Check with a qualified adviser for decisions involving large sums.

How can a business check the 6.17% figure by hand?
Divide 6 by 100 and then by 12, which gives 0.005. Add 1 to get 1.005, raise it to the power of 12, which gives about 1.061678, and subtract 1. That leaves 0.061678, which is 6.17% when shown as a percentage.

Why does monthly compounding add only $16.78 on $10,000 in the first year?
Because the extra comes only from interest earning interest within the year. On $10,000, the effective rate gives $616.78 in the first year, while a flat 6% gives $600. The $16.78 gap is small in year one, but it repeats and grows in every later year.

Should a 5-year shop loan be compared on the effective rate or on the headline rate?
On the effective rate, because two loans can share a 6% headline rate yet cost different amounts if one compounds monthly and the other compounds yearly. The effective rate puts both quotes on the same yearly basis.

Estimates only, not financial advice. Figures are approximate and do not include all fees, taxes, or changing rates unless stated.