Compounding and goals
Compounding and money goals: how much, how long, and at what return?
Connect lump sums, recurring contributions, time, and return assumptions to the amount you want to build.
Compounding describes how gains can earn further gains, but the result is controlled by more than the headline rate. Starting capital, contribution timing, frequency, duration, fees, taxes, and volatility all matter. Use this hub to choose the right calculation and to read spectacular outputs with appropriate caution.
All insights in this topic
Explore lump-sum growth, recurring investing, time-to-target calculations, required contributions, and the effect of small rate differences.
Monthly investing
Save $100 more a month or earn one percentage point more?
The modeled balances are about $73,625, $77,641, and $88,350. The biggest account includes more money contributed, so its advantage is not all investment profit.
Daily return
Can you really earn—and compound—1% a day?
A $10 gain on day one becomes a $77 billion balance after five years if 1% daily compounding never stops.
Compound interest
What annual return doubles $100,000 in 10 years?
$100,000 needs an annual compound return of about 7.1773% to reach $200,000 in 10 years, with no deposits or withdrawals.
Monthly investing
How long does $1,000 a month take to reach $100,000?
At 4%, the $100,000 target arrives after 7 years and 3 months. The investor contributes $87,000, while modeled growth adds about $13,735.
Korean stocks
How many Korean stock limit-up days does it take to double or 10x your money?
At a 30% daily price limit, $1,000 becomes $2,197 after three days and about $10,604 after nine. This is a Korean-market calculation, not a U.S. stock rule.
Compound interest
At 5% compound interest, how long does $10,000 take to double?
At 5% compound interest, $10,000 reaches $20,000 in about 14 years and two months. The year-by-year table shows the balance from year 1 through year 15.
Daily compounding
What would $1,000 become after a year of 1% daily compounding?
At 1% a day, $1,000 becomes about $37,783 after a year. Small daily-rate changes make the ending balance diverge sharply.
Home savings
How much a month for a $1.5M Upper West Side home in 10 years?
A $1.5 million Upper West Side home target takes $10,187 a month for 10 years at a steady 4% annual return.
Monthly investing
When do investment gains exceed what you put in?
In a steady monthly-return simulation, $500 a month at 6% reaches the point where cumulative gains exceed total contributions after about 21 years, not after the first decade.
Monthly investing
What can $500 a month grow to in 10 years?
$500 a month for 10 years contributes $60,000. In this steady 6% return scenario, investment growth adds about $21,940 and brings the final balance to roughly $81,940.
Return
What does a 1% rate gap do to your money?
$10,000 at 4% for 30 years becomes about $32,434. At 5%, it becomes about $43,219. The 1 percentage point gap adds about $10,785.
Required Return
What daily return turns $1,000 into $10,000 in one year?
$1,000 becoming $10,000 in 365 days requires about 0.6328% a day compounded. The total return is +900%.
Return Gap
1.0% vs 1.1% a day: how much is the gap after a year?
$1,000 at 1.0% a day becomes about $37,783 after one year. At 1.1% a day, it becomes about $54,222, a gap of about $16,438.
100 Days
What does 0.5% a day do to your money in 100 days?
$1,000 at 0.5% a day for 100 days becomes about $1,647. At 0.7% a day, it becomes about $2,009.
Duration
What happens to $1,000 after 5 years at 0.1% a day?
The first day adds only $1 to $1,000. But at 0.1% compounded daily, the money becomes about $1,440 after 1 year and $6,197 after 5 years.
Fee
How much does a 1% fee cost over 30 years?
$10,000 at 8% for 30 years becomes about $100,627. At 7%, it becomes about $76,123. That 1% gap costs about $24,504.
Compounding
How long until $1,000 becomes $100,000?
$1,000 needs 463 days at 1% a day to pass $100,000. At 2%, it takes 233 days. The same target feels very different when the daily return changes.
Korea Market
What happens to $1,000 after five Korean limit-up days?
Five 30% gains are not a 150% return. $1,000 becomes about $3,713 because each gain is applied to the higher amount from the day before.
Compounding
What if your money earns 1% every day for a year?
A $10 first-day gain can turn into a much larger number when the same return compounds for a year. $1,000 becomes about $37,783 after 365 days.
A four-part compound-growth framework
1. Define the cash-flow pattern
Separate a one-time principal from recurring contributions. Money invested earlier has more time to compound, so contribution timing can matter as much as the total amount contributed.
2. Match the rate to the period
Use an annual rate with years, a monthly rate with months, or convert rates consistently. A daily percentage repeated for hundreds of days is a very different assumption from an annual market return.
3. Solve for the missing variable
Depending on the decision, calculate future value, time to target, required return, or required recurring contribution. Reversing the formula often reveals whether a goal depends on an implausible rate or an unaffordable contribution.
4. Run a range, then stress the plan
Compare conservative, base, and optimistic rates. Subtract fees and taxes where relevant, test delays or missed contributions, and remember that volatile returns do not arrive in a smooth sequence.
Assumptions and limits
- Calculator outputs usually assume a constant rate and exact reinvestment; actual returns vary and may be negative.
- Very high daily returns are useful mathematical examples but are not sustainable planning assumptions for ordinary investments.
- Recurring-investment results depend on whether deposits occur at the beginning or end of each period.
- Nominal balances do not show inflation-adjusted purchasing power, fees, taxes, or currency risk unless those are modeled separately.
Calculators and guides
Compound interest calculator
Calculate future value, required return, or time to a target.
Recurring investment calculator
Separate contributions from investment growth over time.
Compound interest guide
Review the core formula and how repeated growth changes the base.
Rate difference guide
See why a small rate gap can widen over a long horizon.
Calculator assumptions and limits
Check the real-world factors that a smooth scenario omits.