Finance

Shop Effective Annual Rate Calculator (10 Years)

Convert a nominal annual rate to an effective annual rate. This shop version uses a 10-year planning term as its starting point.

The Effective annual rate is the true yearly cost after compounding, so it sits slightly above the nominal rate entered, and it is the fair figure to use when comparing offers with different compounding frequencies.

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 percent, compounding periods 12 a year, term 10 years. The monthly rate is 6 percent divided by 12, which is 0.5 percent a month. Using the page formula, the effective rate equals 1.005 to the power of 12, minus one, which is 6.17 percent a year. That is the calculator's stated-formula result for these defaults. On $10,000 for one year, interest at the effective rate is $616.78, while interest at the nominal 6 percent alone would be $600.00, so monthly compounding adds $16.78 in the first year.

As an illustration only, not the output of this page, $10,000 grown at a steady 6.17 percent a year for 10 years would reach $18,193.97, with interest of $8,193.97. That illustration only shows what the same yearly rate would do over the term if it stayed fixed, which no real shop loan or account rate does.

Who this term suits for a shop owner: a shop owner weighing a 10-year loan, such as a shop fit-out loan or a first premises loan, where comparing lenders on the nominal rate alone can hide the extra cost of monthly compounding.

FAQs

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

Is this shop 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.

What does a 6.17% effective rate mean over 10 years for a shop?
It means the true yearly cost is 6.17%, not 6%, every year the rate stays fixed. As an illustration only, $10,000 grown at a steady 6.17% a year for 10 years would reach $18,193.97, with interest of $8,193.97.

Is a 10-year shop loan cheaper if the lender compounds yearly instead of monthly?
Yes, at the same 6% nominal rate: yearly compounding gives an effective rate of exactly 6%, while monthly compounding gives 6.17%, so the monthly-compounding loan costs $16.78 more per $10,000 in the first year.

Can a shop ignore the effective rate on a 10-year premises loan?
No. Over 10 years a small yearly gap compounds into a large difference, so a shop should compare effective rates, fees, and early-repayment terms before choosing a lender.

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