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Investing education and calculators

Learn how money compounds, shrinks and recovers.

Articles, research notes and calculators that work through returns, losses, fees and inflation, with the assumptions printed next to every figure. You change the inputs; the arithmetic follows.

Education and tools only. Nothing here is personalized advice or a recommendation.

Worksheet 01Arithmetic only
The same $10,000, three assumed yearly returns

4% a year

Year 10
$14,802
Year 20
$21,911
Year 30
$32,434

6% a year

Year 10
$17,908
Year 20
$32,071
Year 30
$57,435

8% a year

Year 10
$21,589
Year 20
$46,610
Year 30
$100,627

$10,000 with no additions, before fees, taxes and inflation. The three returns are assumptions chosen to show the spread, not predictions. Bar length is the same scale in all three groups.

Worked arithmetic, not market data

Five numbers worth working out once

Each figure is calculated from the assumption beside it, and each has a calculator behind it so you can change the assumption. This site shows no live prices and makes no forecasts.

  1. Rule of 72

    12 years

    to double money at 6% a year (72 ÷ 6)

  2. Getting back to even

    +100%

    gain needed after a 50% loss

  3. Fee drag

    24.8%

    of a 30-year balance lost to a 1% yearly fee, at 6% before fees

  4. Inflation

    23 years

    for 3% inflation to halve what money buys

  5. Compounding

    $76,123

    from $10,000 at 7% a year for 30 years

Two more worked examples

How rate and loss change the outcome

What $10,000 becomes in 10 years

  • 3% a year$13,439
  • 5% a year$16,289
  • 7% a year$19,672
  • 9% a year$23,674

Arithmetic, not a forecast. Each bar assumes the same return every year, reinvested, with no fees, tax or withdrawals. Real returns vary from year to year.

What it takes to recover a loss

Gain needed to get back to even after a loss
If you loseYou need to gain
-10%+11.1%
-25%+33.3%
-50%+100%
-75%+300%

A gain of loss ÷ (100 − loss). It is why limiting large drawdowns matters more than it first looks. The drawdown calculator lets you test your own numbers.

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