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Interest Calculator

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Year-by-year growth

One calculator for both kinds of interest

Interest comes in two fundamental flavors, and confusing them is expensive. Simple interest is charged or earned only on the original principal — steady, linear, predictable. Compound interest is calculated on principal plus everything earned so far — which is why it powers both long-term wealth building and fast-growing credit-card debt. This calculator handles both, plus regular monthly deposits, and always shows you the other mode's result for comparison so the difference is never abstract.

The two formulas

Simple: A = P(1 + rt)   ·   Compound: A = P(1 + r/n)nt

In both, P is the starting amount and t the years. Simple interest uses the annual rate r directly. Compound interest divides the rate across n compounding periods per year. Monthly deposits are added period by period, each compounding for the time it remains invested.

When each type applies

  • Simple: many auto loans, short-term notes, bond coupons, late-payment penalties, and most textbook problems.
  • Compound: savings accounts, CDs, all investments with reinvested returns, mortgages and credit cards (against you).
  • Not sure? If the product advertises an APY, it's compound. If it advertises a flat "rate for the term," it's probably simple — and worth checking the fine print.

For a deeper look at either flavor, use the dedicated Simple Interest and Compound Interest calculators, which explain each method in full.

Simple or compound: which is your money actually earning?

Check before you assume. Bank savings accounts, CDs and bonds compound — interest is added to your balance and then earns interest itself. Many short-term loans, car deals and “flat rate” offers are quoted on a simple-interest basis instead, which can make a loan look cheaper than a compounding one at the same headline rate. Credit cards sit at the far end: they typically compound daily, which is why balances grow so fast.

The gap widens brutally with time. At 5%, $10,000 becomes $25,000 in 30 years on simple interest — but $43,219 compounded annually. Run both modes above with your real rate and term: the comparison line under the result is the honest price of the difference.

Worked example

Put $10,000 at 5% for 10 years. Simple interest ends at $15,000. Compound interest (yearly) ends at $16,288.95. Same rate, same years — a $1,288.95 difference created entirely by interest earning interest. Extend it to 30 years and the gap explodes: $25,000 simple versus $43,219.42 compound.

How to use this calculator

  1. Enter your starting amount and the annual rate.
  2. Enter the number of years.
  3. Pick simple or compound interest; for compound, choose how often it compounds.
  4. Add a monthly deposit if you will contribute regularly.
  5. Check the comparison stats to see what the other interest type would have produced.

A note on deposits and timing

Deposits are modeled at the end of each compounding period — the conservative assumption. In simple mode, deposits earn no interest themselves in this comparison view (several real products differ); the dedicated savings tools model deposit timing month by month if you need that precision.

Frequently asked questions

Which interest type do savings accounts use?
Compound, without exception in practice — and they advertise it as APY, which includes the compounding effect. Use compound mode with the account's APY as the rate.
Why does compounding frequency change the result?
Interest credited more often starts earning its own interest sooner. The effect is real but modest: at 5% over 10 years, daily compounding beats yearly by about $198 on $10,000.
Can interest be negative?
In some countries and eras, yes — negative rates existed on certain deposits and bonds. Enter a negative rate here and the math still works: balances shrink instead of growing.
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