Finance

Education Effective Annual Rate Calculator (15 Years)

Convert a nominal annual rate to an effective annual rate. This education version uses a 15-year planning term as its starting point.

The result is the true yearly rate after compounding, so it lets you compare different rates fairly, whatever their compounding frequency, because it shows what one year of growth is really worth.

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 15 years. The monthly factor is 1 plus 0.06 divided by 12, which is 1.005. Using the page formula, the effective annual rate is 1.005 to the power of 12, minus 1, which is 6.17% a year. Left alone, $10,000 in an education fund grows to $24,540.94 in 15 years at this monthly compounding, compared with $23,965.58 if interest were added only once a year at 6%, a difference of $575.36. By year 15 the compounding effect alone is larger than a term of textbooks and exam fees, and it comes from no extra saving, only from how often interest is added.

Who this term suits for an education saver: a family planning for a degree 15 years away, for example saving from a child's early school years, who must choose between a savings plan and a loan and want the true yearly cost of each, not just the advertised rate.

FAQs

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

Is this education 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 add over 15 years?
$575.36 on $10,000, $24,540.94 against $23,965.58 at annual compounding. By year 15 the compounding effect alone is larger than a term of textbooks and exam fees.

Should a 15-year education fund be judged on EAR or on fees?
On both. The effective rate shows the true yearly growth or cost, but fees, taxes and course price rises are not in this calculation, and over 15 years they can easily outweigh a 0.17% compounding advantage.

What happens if the nominal rate changes during 15 years?
The effective rate changes with it. This page's 6.17% assumes a fixed 6% nominal rate for the whole term, so a rate rise or fall in year 5 or year 10 makes the real result different from the figure shown.

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