Calculator

Compound interest calculator

Watch contributions and growth stack. The chart is drawn from the same month-by-month series as the table, so the picture and the numbers cannot drift apart.

Balance

$694,709

You put in $190,000

Growth $504,709

Rule of 72: about 10.3 years to double a lump sum.

Year 30: $694,709

Year by year for the inputs above
YearContributedGrowthBalance
1 $16,000 $955 $16,955
2 $22,000 $2,413 $24,413
3 $28,000 $4,411 $32,411
4 $34,000 $6,986 $40,986
5 $40,000 $10,182 $50,182
6 $46,000 $14,042 $60,042
7 $52,000 $18,614 $70,614
8 $58,000 $23,952 $81,952
9 $64,000 $30,108 $94,108
10 $70,000 $37,144 $107,144
11 $76,000 $45,122 $121,122
12 $82,000 $54,110 $136,110
13 $88,000 $64,182 $152,182
14 $94,000 $75,416 $169,416
15 $100,000 $87,895 $187,895
16 $106,000 $101,710 $207,710
17 $112,000 $116,958 $228,958
18 $118,000 $133,742 $251,742
19 $124,000 $152,173 $276,173
20 $130,000 $172,370 $302,370
21 $136,000 $194,461 $330,461
22 $142,000 $218,582 $360,582
23 $148,000 $244,881 $392,881
24 $154,000 $273,515 $427,515
25 $160,000 $304,653 $464,653
26 $166,000 $338,475 $504,475
27 $172,000 $375,176 $547,176
28 $178,000 $414,964 $592,964
29 $184,000 $458,062 $642,062
30 $190,000 $504,709 $694,709

Shockingly Simple Math

A popular FIRE essay pointed out that the savings rate, not the cleverness of the portfolio, sets the calendar when you start from zero. The bars below are this site's version of that chart. You save the share on the left, spend the rest, and the target is 25 times that spending — a 4% withdrawal rate. The default return is 5% after inflation. Nothing is contributed from a balance you already have, because the point is the rate itself.

5% real return. Shorter bars mean fewer years of work.

5%
64 years, 4 months
10%
50 years, 3 months
15%
41 years, 11 months
20%
35 years, 11 months
25%
31 years, 3 months
30%
27 years, 4 months
40%
21 years, 2 months
50%
16 years, 3 months
60%
12 years, 2 months
70%
8 years, 7 months
80%
5 years, 5 months

At 5% real, a 50% savings rate is about 16 years in this model. A 10% savings rate is about 50. Fees, taxes, and a down market are not in the bars.

Reading the chart

The lower area is money you contributed. The upper area is growth. Early on, the lower area is most of the picture. Later, the upper area pulls away if the rate is positive and the horizon is long. Hover or move across the chart for a single year. The table under it is the same series, which is the version a screen reader can walk.

The default — $10,000, $500 a month, 7% monthly, 30 years — is an illustration that finishes near $695,000. It is not a forecast and not a suggestion to invest at that rate.

Read how the formula works · Use your own income

Questions

How does this calculator compound?

Each month the contribution is added. At the end of each compounding period the balance is multiplied by one plus the annual rate divided by the number of compounds per year. Monthly is the default. Annual compounding on a lump sum matches principal times (1 + rate) to the years.

What is the Shockingly Simple Math section?

It charts years to financial independence against savings rate, starting from zero. Spending is the unsaved share of income. The portfolio target is that spending divided by 4%. The default return is a 5% real return. A popular FIRE essay used this relationship to argue that savings rate dominates the calendar. The chart here is our calculation of that idea, not a copy of the essay.

Are taxes and fees included?

No. Lower the rate by an expense ratio if you want a net illustration. Taxes on interest, dividends, and gains depend on the account and are not in the chart. A workplace plan and a taxable account with the same pre-tax return do not finish in the same place.