The formula
Two compoundings are compared: at the gross return and at gross minus the fee
Where it comes from
The fee is not charged on the gain but on the assets, every year, whether the fund goes up or down. And because it is charged on a growing pot, its effect is not linear but compound: every pound the manager takes is a pound that stops earning for all the years that remain. That is why the damage grows with the term far faster than the annual percentage suggests.
How to work it out by hand
- Compound the capital and contributions at the gross return
- Repeat the calculation at the gross return minus the fee
- Subtract one result from the other: that is what the manager takes
- Divide that by the gross gain to see what share of it they take
What is worth knowing
The percentage to enter here is the total cost, not just the management fee: add custody, any performance fee and the ongoing charges shown in the factsheet under the total cost figure. An index fund usually sits below 0.3 % a year and an actively managed one between 1.5 and 2.5 %. A large part of the long-run outcome rides on that gap, and it is the only variable in a fund that is known in advance.