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Compound interest calculator with monthly deposits

Compound interest means you earn interest on your interest, so a balance grows faster every year it is left alone. This calculator shows how far a starting amount and a regular monthly deposit can grow at a given yearly rate, compounded annually, quarterly, monthly, daily or continuously. It splits the result into the money you put in and the interest it earned, gives the effective annual rate and the time it takes to double, and lists the balance at the end of every year.

Quick answer

Compound interest uses A = P × (1 + r/n)^(n × t): P is the starting amount, r the yearly rate, n how often interest is added per year and t the years. 10,000 at 5% compounded monthly grows to 16,470.09 in 10 years, against 15,000 with simple interest; adding 500 a month makes it 94,111.23.

Monthly deposits

Balance at the end

AED 16,470.09

Your money in
AED 10,000.00
Interest earned
AED 6,470.09
Share of the balance from interest
39.3%
Effective annual rate
5.116%
Time to double a single sum
13.9 years

Your money inInterest earned

Year by year

YearDepositsInterestBalance
1AED 0.00AED 511.62AED 10,511.62
2AED 0.00AED 537.79AED 11,049.41
3AED 0.00AED 565.31AED 11,614.72
4AED 0.00AED 594.23AED 12,208.95
5AED 0.00AED 624.63AED 12,833.59
6AED 0.00AED 656.59AED 13,490.18
7AED 0.00AED 690.18AED 14,180.36
8AED 0.00AED 725.49AED 14,905.85
9AED 0.00AED 762.61AED 15,668.47
10AED 0.00AED 801.63AED 16,470.09

Assumes a fixed rate, a deposit every month and no withdrawals, fees or tax. The first year includes the starting amount only in the balance, not in the deposits column.

How to use the Compound Interest Calculator

  1. Enter the starting amount and pick your currency; leave it at 0 if you will only make monthly deposits.
  2. Enter the yearly interest or expected profit rate and how often it is compounded, as stated by the bank or fund.
  3. Set the term in years and months, and add a monthly deposit if you plan to save regularly.
  4. Read the final balance, the interest earned and the yearly table below the result.

How compounding frequency changes the result

A 5% yearly rate does not always earn exactly 5% a year. Compounded once a year, 10,000 becomes 16,288.95 after 10 years. Compounded quarterly it becomes 16,436.19, monthly 16,470.09 and daily 16,486.65. The difference is the effective annual rate, often called APY or AER: 5% compounded monthly is worth 5.116% a year, and daily compounding gives 5.127%. When you compare two savings offers, compare their effective rates, not the headline rates. The calculator shows the effective rate for the frequency you choose.

Why regular deposits matter more than the rate

For most savers, the habit of adding money every month does more than chasing a slightly higher rate. Saving 1,000 a month for 30 years at 7% compounded monthly builds about 1.22 million, of which 360,000 is your own money and the rest is growth. Starting ten years later and saving for 20 years at the same rate ends far lower, because the early deposits have the longest time to compound. Tick "deposit at the start of each month" if the money goes in on payday, before interest is added; it earns slightly more than a deposit at the end of the month.

The rule of 72

A quick way to estimate doubling time is to divide 72 by the yearly rate in percent: at 6% money doubles in about 12 years, at 9% in about 8. The rule is an approximation; the calculator gives the exact figure for your rate and compounding. It also works the other way round for inflation: at 3% inflation, prices double in roughly 24 years, so a balance that grows more slowly than prices loses buying power even though the number goes up.

What the calculator assumes

The rate stays the same for the whole term, deposits are made every month without a break, and nothing is withdrawn. Fees, tax on interest and changes in the rate are not included, and a fund or share investment can fall as well as rise, so treat the result as an illustration, not a promise. Islamic savings accounts and sukuk funds pay an expected profit rate rather than fixed interest; you can enter that rate here, but the actual profit can differ. To see what a loan costs instead, use the loan calculator.

Frequently asked questions

What is the difference between simple and compound interest?

Simple interest is paid only on the original amount; compound interest is also paid on interest already earned. At 5% for 10 years, 10,000 earns 5,000 simple interest but 6,470.09 compounded monthly.

Is daily compounding much better than monthly?

Only slightly. At 5%, monthly compounding gives an effective 5.116% a year and daily 5.127%. On 10,000 over 10 years the difference is about 16.

How long does it take money to double with compound interest?

Divide 72 by the yearly rate for a quick estimate: about 12 years at 6%. The calculator shows the exact time for your rate and compounding frequency.

Should I enter the APY or the nominal rate?

Enter the nominal yearly rate and pick the compounding frequency. If you only know the APY or AER, enter it with annual compounding, which gives the same result.

Does this compound interest calculator include inflation and tax?

No. It shows the balance in today’s numbers before tax and fees. Subtract the expected inflation rate from your interest rate for a rough idea of the growth in real buying power.