Why can an ongoing annual fee cost more than the fees actually deducted?

Define the fee model

Investor.gov explains that expenses reduce the money left earning a return. Its expense-ratio glossary refers to annual operating expenses relative to average net assets. A real fund’s accounting is more detailed than simply subtracting one percentage at year-end.

For this original worksheet only, start with $10,000 and stipulate 4% gross growth each year for two years. Apply an invented fee at each year-end to the post-growth balance. There are no contributions, withdrawals, other costs, or taxes. The constant growth rate is a calculation input, not an expected return.

Calculate the first year

With no fee, Year 1 ends at $10,400. With the fictional 0.50% fee, the deduction is $10,400 × 0.005 = $52, leaving $10,348. With a 1% fee, the deduction is $104, leaving $10,296.

Keep both the fee amount and closing balance in the ledger. Calling 0.50% half a percentage point of the opening balance would yield $50, which is a different convention from the $52 deduction stipulated here.

Calculate the second year

The no-fee balance becomes $10,400 × 1.04 = $10,816. In the 0.50% fee case, $10,348 grows to $10,761.92; the fee is $53.8096, leaving $10,708.1104, or $10,708.11 rounded.

In the 1% case, $10,296 grows to $10,707.84; the deduction is $107.0784, leaving $10,600.7616, or $10,600.76 rounded. Apply the same convention in all cases so the comparison isolates the invented fee.

Reconcile fees paid and the ending gap

For the 0.50% case, total deductions are $52 + $53.8096 = $105.8096. The ending gap against the no-fee case is $10,816 − $10,708.1104 = $107.8896. The extra $2.08 is the stipulated second-year 4% growth on the first-year $52 deduction.

This distinction would change with a different return path or charge timing. It is not a universal promise that the gap always grows at 4%. Nor does the worksheet compare service quality, objectives, or all the costs a real investor might pay.

A useful fee ledger therefore has four distinct columns: balance before the charge, charge basis, deduction, and balance after the charge. Record whether an amount is exact or rounded. If you switch from a percentage charge to a fixed annual amount, rerun the ledger rather than treating the old percentage result as interchangeable.

Method, sources, and limits

The calculations were verified using unrounded decimal values, with currency rounded only for display. Investor.gov sources were opened on 26 October 2026. These fictional fees are not quotes or a reconstruction of a fund expense ratio. No fund or provider was selected. Use the actual fee schedule and disclosed performance basis for a real comparison, and avoid subtracting the same expense again if it is already reflected in a reported figure.