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Compound interest calculator โ€” free online

Compound interest is the most powerful force in personal finance. Unlike simple interest, which is calculated only on your original principal, compound interest is calculated on both your principal and the interest already earned. Over time, this creates a snowball effect where your money grows at an accelerating rate.

"Compound interest is the eighth wonder of the world. He who understands it, earns it; he who doesn't, pays it." โ€” commonly attributed to Albert Einstein

Simple interest vs compound interest

With simple interest, a $10,000 deposit at 6% earns $600 every year โ€” always the same amount, always on the original $10,000. After 10 years you have $16,000.

With compound interest, that first year's $600 becomes part of your balance. Year two, you earn 6% on $10,600. Year three, on $11,236. Each year the base grows, so each year's interest is larger. After 10 years you have $17,908 โ€” nearly $2,000 more, without doing anything differently.


How to use Pebble as a free compound interest calculator

Switch Pebble to Financial mode (tap the mode button and select ๐Ÿ’ฐ). For a straightforward compound interest calculation โ€” no monthly contributions, just a lump sum growing over time โ€” set PMT to 0 and fill in the other four fields:


Worked example: $10,000 at 6% for 10 years

You invest $10,000 in an account earning 6% annual interest, compounded yearly. What will your balance be after 10 years?

Enter these values, then tap CPT โ†’ FV

N = 10
I/Y = 6
PV = โˆ’10,000
PMT = 0
Result โ†’ FV = $17,908

Your $10,000 grew to $17,908 โ€” a gain of $7,908. Of that, only $6,000 would have been earned with simple interest. The extra $1,908 is pure compounding: interest earning interest, year after year.

Annual vs monthly compounding

The more frequently interest compounds, the faster your money grows. To calculate monthly compounding on the same investment, convert everything to months: N becomes 120 (10 years ร— 12), and the calculator divides I/Y by 12 internally.

Annual compounding
$17,908
N = 10, I/Y = 6, compounded once a year
Monthly compounding
$18,194
N = 120, I/Y = 6, compounded 12ร— a year

Monthly compounding adds an extra $286 with no additional effort. Over longer time horizons and larger amounts, this difference becomes significant โ€” another reason to check the compounding frequency on any account you open.

The most important variable: time

Compound interest rewards patience above all else. Consider two investors who each put $5,000 into an account earning 7% annually. One invests for 30 years, the other for 20 years. The difference a single decade makes is striking:

20 years
$19,348
N = 20, I/Y = 7, PV = โˆ’5,000
30 years
$38,061
N = 30, I/Y = 7, PV = โˆ’5,000

Ten extra years nearly doubles the final balance โ€” without investing a single extra dollar. That's compounding at work. The earlier you start, the less you need to contribute to reach the same goal.

Adding regular contributions

Most real-world saving involves regular contributions โ€” monthly deposits into an investment account, for example. To model this, use PMT instead of leaving it at 0. Enter your monthly contribution as a negative number (it's an outflow).

For example: starting with $5,000 (PV = โˆ’5,000), adding $300/month (PMT = โˆ’300), earning 7% annually over 20 years (N = 240, I/Y = 7). Tap CPT โ†’ FV to see the result: approximately $179,000 โ€” dramatically more than the $19,348 from the lump sum alone. The combination of a starting balance and regular contributions is where compounding becomes truly powerful.

The Rule of 72

A useful mental shortcut for estimating how long it takes money to double: divide 72 by your annual interest rate. At 6%, money doubles in roughly 12 years (72 รท 6 = 12). At 8%, it doubles in 9 years. At 4%, it takes 18 years.

This is an approximation โ€” use the calculator for precise figures โ€” but the Rule of 72 is fast enough for back-of-the-envelope comparisons when you're evaluating savings accounts, investment options, or the long-term cost of debt. The same rule works for debt: at 18% credit card interest, your balance doubles in 4 years if you make no payments.

Compound interest and debt

Compound interest works against you when you're the borrower. On a credit card charging 20% annually, unpaid balances grow by 20% per year โ€” and because interest is typically calculated daily, the effective compounding is even faster. The same mechanism that grows your investments exponentially also grows your debt exponentially if left unchecked.

This is why student loan and mortgage repayments feel heavily weighted toward interest in the early years: you're paying interest on a large balance, and each payment reduces that balance only slightly. As the principal falls, the interest portion of each payment shrinks and more goes toward the loan itself.


Related guides: financial freedom & FIRE number calculator ยท mortgage payment calculator ยท student loan calculator

Try the free compound interest calculator โ†’

Frequently asked questions

What is compound interest?

Compound interest is interest calculated on both your original principal and all previously earned interest. Unlike simple interest (which only applies to the original principal), compound interest accelerates growth over time โ€” your interest earns interest, creating an exponential snowball effect.

How do I calculate compound interest online for free?

Open Pebble Calculator and switch to Financial mode. Enter N (number of periods), I/Y (annual rate), PV (starting amount, as a negative), and PMT = 0 for a lump sum. Tap CPT โ†’ FV to get the future value. No signup required โ€” it's completely free.

What is the difference between annual and monthly compounding?

With annual compounding, interest is added to your balance once a year. With monthly compounding, it's added 12 times a year โ€” each month you earn interest on a slightly larger balance. Monthly compounding produces a higher final balance than annual compounding at the same stated interest rate. To calculate monthly compounding in Pebble, convert N to months (years ร— 12) โ€” the calculator handles the rest.

What is the Rule of 72?

The Rule of 72 is a quick mental calculation for estimating how long it takes an investment to double: divide 72 by the annual interest rate. At 6% annually, money doubles in roughly 12 years. At 9%, in 8 years. It's an approximation, but accurate enough for quick comparisons without a calculator.

How does compound interest differ from simple interest?

Simple interest is calculated only on the original principal, producing a linear return. Compound interest is calculated on the growing balance, producing exponential growth. Over 10 years at 6%, a $10,000 investment earns $6,000 with simple interest (to $16,000) vs $7,908 with annual compounding (to $17,908) โ€” a difference of nearly $2,000 with no extra effort.

Can I calculate compound interest with regular monthly contributions?

Yes. In Pebble's Financial mode, enter PV (starting balance, negative), PMT (monthly contribution, negative), N (months), I/Y (annual rate), and solve CPT โ†’ FV. This models the combined growth of your starting balance and all future contributions, with interest compounding on the full balance each month.