About Compound Interest Calculator
Enter a starting amount, a monthly contribution, an annual return and a number of years. The calculator returns the final value, the total you invested, the interest earned and the percentage growth, then lists invested, interest and balance for each year. With 10,000 to start, 500 a month, 8% a year and 15 years of monthly compounding, the final value is 207,241.79: 100,000 paid in and 107,241.79 of interest. Compounding on the starting amount can be annual, half-yearly, quarterly, monthly or daily. Amounts carry no currency symbol, so the figures read the same in dollars, pounds, euros or rupees. Results are nominal: before inflation, tax and fees.
What a monthly contribution grows to at 7% a year
Final value from the calculator with a starting amount of 0, a 7% annual return and monthly compounding. The last column is the total paid in over 30 years.
| Monthly contribution | After 10 years | After 20 years | After 30 years | Paid in over 30 years |
|---|---|---|---|---|
| 50 | 8,704.72 | 26,198.27 | 61,354.37 | 18,000.00 |
| 100 | 17,409.45 | 52,396.54 | 122,708.75 | 36,000.00 |
| 200 | 34,818.89 | 104,793.08 | 245,417.50 | 72,000.00 |
| 250 | 43,523.62 | 130,991.35 | 306,771.87 | 90,000.00 |
| 500 | 87,047.23 | 261,982.70 | 613,543.75 | 180,000.00 |
| 1,000 | 174,094.47 | 523,965.40 | 1,227,087.49 | 360,000.00 |
Growth on contributions alone is 45.1% after 10 years, 118.3% after 20 and 240.9% after 30, whatever the amount. Time does more than the size of the deposit.
Lump sum growth: 10,000 at 4% to 10% over 10, 20 and 30 years
Final value with no monthly contribution and annual compounding, plus the doubling time from the calculator's Rule of 72 note.
| Annual return | 10 years | 20 years | 30 years | Doubles in about |
|---|---|---|---|---|
| 4% | 14,802.44 | 21,911.23 | 32,433.98 | 18 years |
| 6% | 17,908.48 | 32,071.35 | 57,434.91 | 12 years |
| 8% | 21,589.25 | 46,609.57 | 100,626.57 | 9 years |
| 10% | 25,937.42 | 67,275.00 | 174,494.02 | 7.2 years |
For any other starting amount, scale in proportion: 25,000 gives 2.5 times these figures.
Compounding frequency compared: 10,000 at 8%
The same deposit and rate under each Compounding frequency option. The effective annual rate is the first-year interest as a percentage of the 10,000 deposit.
| Compounding frequency | Value after 1 year | Effective annual rate | Value after 10 years |
|---|---|---|---|
| Annually | 10,800.00 | 8.00% | 21,589.25 |
| Half-yearly | 10,816.00 | 8.16% | 21,911.23 |
| Quarterly | 10,824.32 | 8.24% | 22,080.40 |
| Monthly | 10,830.00 | 8.30% | 22,196.40 |
| Daily | 10,832.78 | 8.33% | 22,253.46 |
Most of the benefit arrives by monthly compounding. Going from monthly to daily adds 2.78 in the first year on 10,000.
Compound interest formula used for the lump sum and the deposits
Final value = P x (1 + r/n)^(n x t) + C x (((1 + r/12)^(12 x t) - 1) / (r/12)) x (1 + r/12)
P is the Starting amount, r the Annual return as a decimal, n the compounding periods per year from Compounding frequency, t the Years and C the Monthly contribution. The first term grows the starting amount. The second is the future value of a series of monthly payments, and its final factor of (1 + r/12) treats each payment as made at the start of the month. For 10,000 plus 500 a month at 8% for 15 years, the starting amount grows to about 33,069 and the contributions to about 174,173, which add up to the 207,241.79 shown. If the return is 0%, the result is simply everything you paid in.
Worked examples with starting amount and monthly deposit
Default projection
Starting amount 10,000, Monthly contribution 500, Annual return 8%, Years 15, Compounding frequency Monthly
Final value 207,241.79. Total invested 100,000.00. Interest earned 107,241.79. Growth 107.2%.
In the Year by year table, interest (91,572.87) is still below the amount invested (94,000.00) at year 14 and passes it in year 15.
Small start, long horizon
Starting amount 5,000, Monthly contribution 200, Annual return 7%, Years 30, Compounding frequency Monthly
Final value 285,999.99. Total invested 77,000.00. Interest earned 208,999.99. Growth 271.4%.
Larger start, moderate return
Starting amount 25,000, Monthly contribution 300, Annual return 6%, Years 25, Compounding frequency Monthly
Final value 320,561.92. Total invested 115,000.00. Interest earned 205,561.92. Growth 178.7%.
Savings account with daily compounding, no deposits
Starting amount 10,000, Monthly contribution 0, Annual return 4.5%, Years 5, Compounding frequency Daily
Final value 12,523.05. Total invested 10,000.00. Interest earned 2,523.05. Growth 25.2%.
With annual compounding the same deposit reaches 12,461.82, a difference of 61.23 over five years.
Forty years of 100 a month
Starting amount 1,000, Monthly contribution 100, Annual return 10%, Years 40, Compounding frequency Monthly
Final value 691,378.69. Total invested 49,000.00. Interest earned 642,378.69. Growth 1,311%.
A 10% return every year for 40 years is an optimistic assumption. Run a lower rate alongside it.
Assumptions behind the projection
Contributions always compound monthly. The Compounding frequency setting applies to the starting amount only; each monthly deposit earns one twelfth of the annual rate per month whichever option you pick. With 10,000 and 500 a month at 8% for 15 years, switching from Monthly to Annually changes the final value from 207,241.79 to 205,894.26, and all of that difference comes from the starting amount.
Deposits are counted at the start of each month, so the first one earns a full month of interest. If you pay in at the end of the month, your real result will be slightly lower.
The return is fixed for the whole period. Real investments rise and fall from year to year, and a savings rate can change at any time. The contribution is also fixed: there is no option to raise it each year, to make withdrawals, or to deposit weekly or yearly.
The Year by year table shows up to 50 years. The headline figures cover the full period you enter, up to 70 years. Nothing here allows for tax or account charges; to include a fee, subtract it from the Annual return. This is an illustration of the arithmetic, not financial advice.
How to use it
- 1
Enter the Starting amount you already have, or 0 if you are starting from nothing.
- 2
Enter the Monthly contribution you plan to add, or 0 for a lump sum left alone.
- 3
Enter the Annual return as a percentage and the number of Years, from 1 to 70.
- 4
Choose the Compounding frequency: Annually, Half-yearly, Quarterly, Monthly or Daily.
- 5
Read Final value, Total invested, Interest earned and Growth in the Projection panel.
- 6
Scroll the Year by year table for the balance at the end of each year, and check the Rule of 72 note for the doubling time.