How Investment Fees Reduce Wealth

Why the usual demonstration is unconvincing

Kabir has been shown the fee argument before, and it did not land. It generally arrives as two projections side by side: invest this much for thirty years at some assumed return, once with a charge and once without, and look at the gap in rupees.

The trouble is that the gap is enormous partly because the assumed return is generous, and Kabir knows it. Change the assumption and the number moves. So the demonstration ends up arguing about the return rather than about the fee, and a sceptical reader is right to discount it.

There is a better way to put it, and it requires no assumption whatever.

The return cancels

Think of an annual charge as a fraction of your balance taken once a year. Whatever the investment did that year — up, down, sideways — you keep the rest.

Do that for thirty years and you keep that same fraction of what you would otherwise have had, thirty times over. The rate of return never enters the calculation. A charge takes the same proportion of a wonderful outcome as of a disappointing one, which means the effect of a fee can be stated exactly, once, and it holds for every market and every period.

That gives a table with no assumptions in it at all.

Annual charge	Over 10 years	Over 20 years	Over 30 years	Over 40 years
0.10%	1.0%	2.0%	3.0%	3.9%
0.50%	4.9%	9.5%	14.0%	18.2%
1.00%	9.6%	18.2%	26.0%	33.1%
1.50%	14.0%	26.1%	36.5%	45.4%
2.00%	18.3%	33.2%	45.5%	55.4%
2.50%	22.4%	39.7%	53.2%	63.7%

Read your own fund's charge along its row. A charge of 1% a year removes 26.0% of everything you would have had after 30 years. At 2% it removes 45.5%. More than half of a 40-year outcome can go to a charge that never once appeared as a line on a statement.

Notice there is no market in that table, no country, and no forecast. It is arithmetic, and it is the strongest form the argument can take.

The comparison that actually faces you

You are rarely choosing between paying a fee and paying nothing. You are choosing between two funds that both charge something.

That version is just as clean. Choosing a fund charging 2% over one charging 0.2%, and holding for 30 years, costs 42.1% of your final amount — again regardless of what either fund returns.

For that gap to be worth paying, the more expensive fund has to outperform by more than the difference in charges, every year, for the whole period. Not once, not on average over a good stretch — reliably, for decades. Whether any fund can be identified in advance as likely to do that is a question with an answer, and the answer is not available from a past record; that is the subject of why past performance is not enough to choose a fund.

Why fees are structurally worse than they look

Three properties compound the arithmetic, and none of them shows up in the ratio.

A fee is certain and the return is not. The charge is deducted whether the fund gains or loses. In a bad year you pay it out of a smaller balance, which is exactly when you can least afford to. Over a lifetime you will pay it in every single year, including the ones the market spent below a previous high — which, on the Indian record, is most of them.

It is charged on the whole balance, not on the gain. Most costs in life scale with the benefit delivered. A fund's charge scales with the amount you have accumulated, so it grows as you succeed, and it is largest in the years just before you need the money.

It is invisible. It is netted out of the published value before you ever see it, so there is no moment at which you notice paying it. Every other expense in a household budget has a moment of payment attached; this one has none, which is why it survives scrutiny that far smaller expenses do not.

What this argument does not say

It does not say the cheapest option is always right. A fee buys something — at minimum, somebody running the fund, and sometimes advice a person genuinely needs. The point is that the cost is now quantified, so you can ask what you are getting for it in the same terms.

It does not say a low charge makes a fund good. A cheap fund with the wrong mandate for your goal is still the wrong fund. Cost is the input most likely to persist, not the only one that matters.

And the table understates the charge slightly. A real fund accrues its charge daily rather than once a year, so the true figure is a little larger than shown. The model is deliberately the conservative one — if this argument is going to be wrong, it should be wrong in the direction that favours the fee.

There is also a cost the table does not contain at all: what a fund pays to trade, which is separate from its stated charge and is not disclosed as a ratio. That one is measured, on Indian data, in factor investing, liquidity and turnover.

What to take away

Find the annual charge on everything you hold. Read the table at that number and at the length of time you expect to hold it, and you have the share of your eventual wealth that decision costs — with no forecast involved and nothing to argue about.

Then ask the only question that follows: what is it buying, and is that worth this fraction of the outcome? It is a legitimate question with a legitimate answer for some funds and some people. It is just very rarely asked in those terms, because the cost is normally presented as a small annual percentage rather than as a share of the end result.