Compound Interest Calculator
Estimate savings growth with recurring contributions and compound interest.
How compound interest works
Compound interest means profit is added to the deposited amount, and the next interest is charged on the increased amount. Monthly contributions accelerate growth.
Each month: Amount = Amount × (1 + Rate ÷ 12) + Contribution
Time is the main factor: the longer compound interest works, the stronger the growth becomes, because interest is charged on interest.
Compound interest example
Invest 50,000 UAH upfront and add 5,000 UAH at the end of every month at 14% per year. After 5 years the account holds ≈ 531,256.12 UAH: your own contributions are 350,000.00 UAH (50,000 + 60 × 5,000) and interest is ≈ 181,256.12 UAH. These are the values the calculator shows when the page opens.
Now regular contributions only: 5,000 UAH a month from zero at 14% per year. After 10 years you get ≈ 1,295,344.56 UAH from 600,000.00 UAH contributed; after 20 years ≈ 6,505,830.03 UAH from 1,200,000.00 UAH. Twice the time gives about five times the result — that is interest earning interest.
Simple vs. compound interest
With simple interest the gain is the same every year: S = P × (1 + r × n). With compound interest each period’s gain is calculated on the already grown amount. For a 100,000 UAH deposit at 14% per year with no contributions:
| Term | Simple interest | Compound (monthly) | Difference |
|---|---|---|---|
| 5 years | 170,000.00 UAH | 200,560.98 UAH | +30,560.98 UAH |
| 10 years | 240,000.00 UAH | 402,247.06 UAH | +162,247.06 UAH |
| 20 years | 380,000.00 UAH | 1,618,027.01 UAH | +1,238,027.01 UAH |
The longer the term, the wider the gap: over 5 years compounding adds 30,560.98 UAH more, over 20 years 1,238,027.01 UAH more.
How often interest is paid: capitalization
Capitalization means adding accrued interest to the deposit. With m compounding periods per year: S = P × (1 + r ÷ m)^(m × n). Here is what 100,000 UAH at 14% per year grows to in 10 years:
| Compounding | Final amount |
|---|---|
| Yearly | 370,722.13 UAH |
| Quarterly | 395,925.97 UAH |
| Monthly | 402,247.06 UAH |
| Daily | 405,411.16 UAH |
The calculator uses monthly compounding: each month the amount is multiplied by (1 + rate ÷ 12) and then the contribution is added. The effective annual yield of 14% compounded monthly is about 14.93%.
The rule of 72: how long until capital doubles
Divide 72 by the annual rate in percent to estimate the years to double. At 14% that is about 5.1 years (the exact figure with monthly compounding is 4.98 years). At 6% about 12 years, at 10% about 7.2 years, at 20% about 3.6 years. The rule is approximate and most accurate for rates of 6–10%.
How to calculate compound interest by hand
Without contributions:
S = P × (1 + r ÷ 12)^(12 × n)
With a monthly contribution at the end of each month (as the calculator does):
S = P × (1 + i)^m + PMT × ((1 + i)^m − 1) ÷ i
Here i = rate ÷ 12, m is the number of months, P is the starting amount and PMT is the monthly contribution. For the example above: 50,000 × (1 + 0.14 ÷ 12)^60 + 5,000 × ((1 + 0.14 ÷ 12)^60 − 1) ÷ (0.14 ÷ 12) ≈ 531,256.12 UAH.
Nominal vs. real return
The calculator shows a nominal result: hryvnia at the rate you enter. Prices rise over time, so the purchasing power of savings grows more slowly. You can estimate the real rate as (1 + nominal rate) ÷ (1 + inflation) − 1. Illustrative example: at 14% per year and 8% inflation, the real return is about 5.6%, not 6%. Use current official figures for taxes and inflation — the calculator does not include them.
Compound interest FAQ
How is compound interest different from simple interest?
Simple interest is charged only on the initial amount. Compound interest is charged on the initial amount plus all previously accrued interest, so capital grows faster.
Does the calculator include taxes and inflation?
No, the calculator shows the nominal profit at the deposit rate. The real return will be lower due to income tax and inflation.
How to get a bigger result?
The more frequent the contributions and capitalization and the longer the term, the higher the result. Monthly contributions give a noticeably better result than a one-time deposit of the same amount.
What is capitalization of interest?
It means adding accrued interest to the deposit so that later interest is charged on the larger amount. The more often interest is capitalized (monthly, quarterly, yearly), the higher the result at the same nominal rate.
How do I model yearly compounding if the calculator compounds monthly?
For a one-off deposit with no contributions, enter the equivalent rate: 12 × ((1 + r)^(1/12) − 1), where r is the annual rate with yearly compounding. For 14% that is about 13.17%. For deposits with regular contributions this conversion is only an approximation.
Why can my bank’s result differ from the calculator?
Because of the compounding frequency, contribution dates (start or end of the month), fees and taxes. The calculator uses monthly compounding and contributions at the end of each month.
Is the calculator suitable for investments?
Yes, if you enter an expected average annual return. But investment returns are not guaranteed and vary from year to year, so the result is a scenario, not a forecast.
This material is for reference only and is not financial advice.
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