Finance

Business Effective Annual Rate Calculator (20 Years)

Convert a nominal annual rate to an effective annual rate. This business version uses a 20-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 20 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 $33,102.04 over 20 years at the 6.17% effective rate, compared with about $32,071.35 at a flat 6% with no compounding. The difference, $1,030.69, is the cost of monthly compounding alone over 20 years, and the totals are rounded to the nearest cent.

Who this term suits for a business: a business planning a 20-year expansion loan, such as a second branch or a larger workshop, where the forecast must use the true yearly rate or the 20-year budget will be understated.

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 much extra does monthly compounding cost over 20 years on $10,000?
About $1,030.69. At the 6.17% effective rate, $10,000 grows to about $33,102.04 over 20 years, compared with about $32,071.35 at a flat 6%. The totals are rounded, and the bonus is worked from the unrounded figures.

Why should a 20-year business plan use the effective rate, not the nominal rate, in its forecast?
Because the business will actually pay or earn at the effective rate once compounding is counted. Forecasting at 6% flat would understate the 20-year total by $1,030.69 on every $10,000, which is a large error on a full expansion loan.

What fees are not included in this effective rate figure?
Arrangement fees, valuation fees, insurance, taxes, and early-repayment charges are not included. The figure covers compounding only, so a business must add those costs separately when it compares real quotes.

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