How to Calculate Savings Growth

A simple guide with a worked example, a growth table and answers to the questions people actually ask.

Short answer

$10,000.00 left at 5% annual interest for 20 years grows to $26,532.98, with $16,532.98 of that being interest. No new deposits are added in this example. Use the formula below with your own amount, rate and years, or try the Compound Interest Calculator for an instant result.

The formula

Final amount = P × (1 + r)t, where P is the starting amount, r is the annual interest rate, and t is the number of years. This version compounds once a year and adds no new deposits. If you add money every month, the result is higher, and the monthly-savings calculators cover that case.

Worked example: $10,000.00 at 5% for 20 years

Step 1: the growth factor is 1 + 0.05 = 1.05. Step 2: raise it to 20 years: 1.0520 = 2.6533. Step 3: multiply by the starting amount: $10,000.00 × 2.6533 = $26,532.98. Step 4: the interest earned is $26,532.98 − $10,000.00 = $16,532.98. That is the same result the Compound Interest Calculator gives for these numbers when Compounds per year is set to 1.

How $10,000.00 grows at different rates and times

Starting amount $10,000.00, no new deposits. Time matters more than most people expect: the last 10 years add far more than the first 10.

Interest rateYearsFinal amountInterest earned
5% per year10 years$16,288.95$6,288.95
5% per year20 years$26,532.98$16,532.98
5% per year30 years$43,219.42$33,219.42
3% per year20 years$18,061.11$8,061.11
7% per year20 years$38,696.84$28,696.84

What changes the result

Time matters most, because growth compounds: each year's interest earns interest in the next years. The rate comes second, and the starting amount third. At 5%, $10,000.00 reaches $16,288.95 after 10 years but $43,219.42 after 30 years. Starting earlier usually beats starting with more, because the extra years do the heavy work.

Common mistakes

The most common mistake is expecting straight-line growth, when compound growth curves upward over time. The next is mixing a monthly rate with years, or an annual rate with months: keep the rate and the time in the same unit. The third is forgetting that real returns vary, and inflation and tax reduce what the final number is worth in practice.

Try it with your own numbers

Open the Compound Interest Calculator, enter your starting amount, rate and years, and set Compounds per year to 1 for the annual formula in this guide. If you add money every month, use the Compound Interest With Contributions Calculator instead. More guides are on the BuildCalc Blog and in Savings & Investment calculators.

Results are estimates and general information only. Rates vary, and inflation and tax are not included. Always confirm final figures with a qualified professional.

Frequently asked questions

What is the compound interest formula?

Final amount = P x (1 + r)^t, where P is the starting amount, r is the annual interest rate, and t is the number of years. This version compounds once a year and adds no new deposits.

How much is $10,000.00 at 5% after 20 years?

$26,532.98, of which $16,532.98 is interest earned.

Why does time matter more than the rate?

Because growth compounds. At 5%, $10,000.00 reaches $16,288.95 after 10 years but $43,219.42 after 30 years. The extra 20 years add far more than the first 10.

What if I add money every month?

The final amount is higher, because every deposit also earns interest from the month it is added. Use the Compound Interest With Contributions Calculator for that case, since this formula covers a single starting amount only.

Is the result guaranteed?

No. The rate in an example is fixed for illustration, but real rates change over time, and inflation and tax reduce what the final number is worth in practice.

Which calculator should I use?

Use the Compound Interest Calculator for a single starting amount, or the Compound Interest With Contributions Calculator if you add money every month.

Last updated 2026-10-31.