01 Compounding basics

Growth that feeds on itself

Compound growth means your returns start earning returns of their own. Over long horizons that second layer often outweighs everything you put in.

Educational illustration only. Nothing here is a prediction or a guarantee.

Balance after n years
B = P × (1 + r)n + C × [ ((1 + r)n − 1) ÷ r ]
  1. 1 Contributions versus growth

    Contributions are the money you add. Growth is what the balance earns after that. In year one they look almost identical. By year thirty the growth line is typically several times taller than the contribution line, which is why the same monthly amount behaves very differently depending on when it starts.

  2. 2 A worked illustration

    Depositing $400 a month at an assumed 6% annual return for 30 years produces roughly $402,000. You deposited $144,000. The remaining $258,000 is compounded growth. Change the horizon to 20 years and the same $400 a month lands near $185,000, because the final decade does far more work than the first.

  3. 3 Why the assumptions matter

    Every projection rests on three fixed inputs: a constant monthly contribution, a constant annual return, and no fees or taxes. Real accounts have all three moving. Treat any single result as one point in a range, then test a lower return and a later start to see how sensitive the outcome is.

Assumptions behind every figure

  • Monthly contributions stay the same for the full period.
  • The annual return is applied at a steady rate, with no good or bad years.
  • No account fees, fund expenses, or taxes are deducted.
  • Inflation is not modeled, so all figures are in today's dollars.

See the full assumption detail or continue to risk and returns.

02 / Risk and returns

Higher expected returns come with a wider spread of outcomes

The calculator applies one constant annual return for the whole projection. Real markets do not behave that way. A larger assumed return is a claim on a wider range of results, and that range is what risk means in practice.

The table below gives the broad ranges used in educational material. They are conventions for comparison, not forecasts of any specific year.

Assumed annual return ranges by broad asset mix
Asset mix Assumed annual return Typical yearly swing Deepest single year
Cash equivalents 1.5% to 2.5% about 1% 0%
Investment grade bonds 3.5% to 5.0% 6% to 8% -13%
Balanced, roughly 60/40 5.5% to 7.0% 11% to 14% -31%
Broad US equity index 7.0% to 10.0% 17% to 20% -43%
A single concentrated holding highly variable 35% and up -80% or worse

Capacity is not the same as tolerance

Tolerance is how a drop feels. Capacity is how much of a drop the rest of your plan can absorb without changing the retirement date or the monthly amount you need.

Order of returns matters near the end

Two savers can share the same average return and finish far apart if one meets poor years just as withdrawals begin. That is sequence of returns risk, and a constant-rate model cannot show it.

Return above cash is compensation, not a promise

Investors accept volatility because they expect to be paid for it over long periods. Any single decade can still fall short of that expectation.

Ranges describe broad historical behaviour across asset classes for illustration only. The projection on this site models no fees, no taxes, and no inflation adjustment.

04 / Glossary

Retirement terms, plainly defined

Short definitions for the words you meet while comparing contribution scenarios. For the longer explanation, start with compounding basics or risk and returns.

Compounding
Growth that builds on earlier growth, so returns are earned on your contributions and on the returns already credited.
Contribution
The amount you add on a regular schedule, such as a fixed monthly deposit you set and keep.
Principal
The money you put in yourself, before any investment result is added or subtracted.
Rate of return
The annual percentage change in account value, stated before inflation and fees are applied.
Real return
A rate of return measured after inflation, showing what the gain actually buys in today's dollars.
Inflation
The steady rise in prices that lowers the purchasing power of each future dollar.
Time horizon
The number of years between now and the date you expect to draw on the balance.
Balance
The total account value at a given age, combining your contributions and all accumulated growth.
Sequence risk
The risk that weak returns early in retirement hurt more than the same weak returns later on.
Withdrawal rate
The share of the balance you take out each year once retirement begins.
Tax-deferred
Growth that is not taxed in the year it occurs, with tax owed later when the money is withdrawn.

Definitions are educational only. Figures from any projection depend entirely on the assumptions you enter.