Case 1
- Starting capital
- 100000
- Assumed gross annual return
- 4%
- Whole years
- 20
- Annual fee A
- 0.25%
- Annual fee B
- 1%
29,199.55
- Ending balance A
- 208,413.03
- Ending balance B
- 179,213.48
- Modeled cash fees A
- 7,536.73
- Modeled cash fees B
- 27,831.76
Change any value to update the result.
29,199.55currency
Ending balance difference: A − B: 29,199.55 currencyPersonal inputs stay on this device. Sharing sends the calculator page without these values.
Compare fees A and B with the same capital, gross return and whole-year horizon. Each year grows first, then pays the fee on that balance. The main result is A minus B; the balance gap also includes later growth effects and differs from cash fees.
Held fixed: Starting capital 100,000.00 currency, Assumed gross annual return 4.00 %, Whole years 20, Annual fee A 0.25 %.
| Annual fee B (%) | Ending balance difference: A − B |
|---|---|
| 0.00 | -10,699.28 |
| 0.25 | 0.00 |
| 0.50 | 10,201.74 |
| 0.75 | 19,927.90 |
| 1.00Your value | 29,199.55 |
| 1.25 | 38,036.85 |
| 1.50 | 46,459.14 |
| 1.75 | 54,484.91 |
| 2.00 | 62,131.90 |
29,199.55
18,997.81
-11.00
balance[k] = balance[k−1] × (1 + gross return/100) × (1 − fee/100); difference = A − B
Each year applies gross growth, then a fee on the resulting balance, without intermediate rounding.
No contributions, withdrawals, taxes or currency conversion; both scenarios start with the same capital.
Each year grows the existing balance by the assumed gross return and charges the fee on the resulting amount. No contributions or withdrawals occur. For a synthetic one-year example, 1,000 at 10% grows to 1,100; a 1% fee costs 11 and leaves 1,089.
Enter gross return before these fees, so an already-net return does not subtract the same charge twice. Negative returns down to −100% are allowed. At zero years, both balances equal starting capital and fees are zero.
The SEC publishes approximate balances of 208,000, 198,000 and 179,000 for a hypothetical 100,000 investment at 4% over 20 years with fees of 0.25%, 0.50% and 1%. Its illustration does not specify fee timing. Our annual convention is explicit; it is neither daily expense-ratio accounting nor a forecast. Both scenarios use the same currency, without taxes or conversion.
No. Charges also change the capital available for later growth; the page shows cash fees separately.
Scenario A ends below scenario B. The calculator always keeps your A/B ordering.
It models one fee after each year's gross growth. Daily accrual, changing returns, taxes and contributions are outside this convention.
Information, not financial advice.
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