Lesson 8 of 10
Fees and long-term growth
A recurring fee reduces both today’s balance and the amount left to grow.
The idea
Investment costs can include transaction charges, recurring account or advisory fees, and expenses inside a fund. Read the relevant fee schedule and product documents rather than assuming a visible trading commission is the entire cost.
The fee calculator models a simplified annual sequence: apply the gross return, then deduct a percentage fee from that ending balance. It does not reproduce daily fund accounting, trading costs, taxes, or every provider’s billing method.
Worked example
Original arithmetic example: Start with $10,000, assume a 5% gross annual return, and apply a 1% annual fee after growth. After one year, $10,000 × 1.05 × 0.99 = $10,395, compared with $10,500 without that fee. After two years the fee scenario is $10,805.60, versus $11,025. The $219.40 difference includes fees and the growth those deducted dollars no longer earn.
| Year | Without fee | With 1% fee |
|---|---|---|
| 0 | $10,000 | $10,000 |
| 1 | $10,500 | $10,395 |
| 2 | $11,025 | $10,805.60 |
A common mistake
Calling the difference between two future balances the exact amount of fees paid; it also includes foregone growth.
Try it yourself
Starting with $1,000 and zero gross return, apply a 1% fee after each year for two years. What remains?
Show the worked answer
$1,000 × 0.99² = $980.10. The total reduction is $19.90.