WhitmanTrading

Passive or Active

Passive investing holds the market as it is, while active management selects holdings in an attempt to beat it. Because active investors collectively are the market before costs, the higher fee is a hurdle that has to be cleared every year rather than once.

The argument is usually conducted as a question about skill, which is unresolvable. Conducted as a question about arithmetic it is considerably clearer, and the arithmetic does not depend on anyone’s opinion of anyone’s ability.

How it works

A candlestick chart with a broad market position held throughout.
One approach holds the market as it is. Illustrative chart - not real market data.

A passive fund holds the constituents of an index in their index weights. Nobody chooses; the index rule decides, so the fund earns the index return minus a small fee.

The first half of a price series with a selected subset.
The other selects, and charges for the selection. Illustrative chart - not real market data.

An active fund selects. A manager judges which holdings to own and in what size, and charges more because that judgement costs something to produce.

A section of the price series with a persistent deduction.
And the charge recurs every year. Illustrative chart - not real market data.

The fee is annual and the outperformance is not. That asymmetry is the entire structure of the comparison.

The arithmetic

A window of price bars with an average path drawn through.
Active investors collectively are the market. Illustrative chart - not real market data.

Every share is owned by somebody. Passive holders own their slice at index weights, so the remaining shares are held by active investors — which means active investors collectively hold the market portfolio.

Therefore, before costs, they collectively earn the market return. Not approximately: by construction, because the two groups together own everything and one of them holds it at index weights.

And after costs they collectively earn less, by the amount they spent. The average active dollar must trail the average passive dollar by the difference in cost, and no amount of skill changes the arithmetic for the group.

A worked example

The second half of a price series with two cost paths.
What the fee difference has to be beaten by, every year. Illustrative chart - not real market data.

Take an active fund at 85 basis points against an index fund at 8.

The manager has to outperform by 77 basis points a year just to draw level — after their own trading costs, which are not in the expense ratio.

Over thirty years, on this site’s arithmetic, a 75-basis-point drag removes 20.2% of the ending pot. The figures are in research/series-measurements.json.

So a manager who matches the index gross delivers a fifth less net. That is the hurdle, restated as an outcome.

Where active can earn its fee

A candlestick series in a less efficiently priced market.
Some markets are less thoroughly covered than others. Illustrative chart - not real market data.

The arithmetic applies to any defined market and it does not say that no manager can win. It says the group cannot, which leaves room for individuals — and for the ones who lose to them.

Less covered corners plausibly offer more room. Small companies, some emerging markets and less liquid asset classes have fewer analysts per security, which is where the case for selection is strongest.

The unsolved problem is identifying them in advance. Past performance is the least predictive signal available, and distinguishing skill from chance needs a sample most funds never produce — the sample size calculator gives the shape of that.

It is not a binary

A long-horizon candlestick view with a core and a satellite.
A large core and a small satellite is the usual answer. Illustrative chart - not real market data.

The common practical arrangement is a passive core with a small active satellite. Most of the money earns the market cheaply; a defined portion expresses whatever view you have.

The discipline is keeping the satellite small and separate, because the failure mode is the active portion growing until the fee applies to everything.

Deciding the split once, in writing, is what keeps it honest. A satellite defined as a fixed percentage stays a satellite; one defined as “whatever I feel strongly about” grows in exactly the periods when feeling strongly is least reliable.

Costs

A candlestick chart annotated with the round-trip cost of a switch.
Turnover inside an active fund costs on top of the fee. Illustrative chart - not real market data.

An active fund’s own trading is a second cost. On this site’s shared series a round trip measures about 2% of the median bar range of 0.493, and a fund turning over its portfolio annually pays that repeatedly on your behalf without it appearing in the expense ratio.

Price bars with holdings placed deliberately.
And in a taxable account that turnover has a tax cost. Illustrative chart - not real market data.

In a taxable account the turnover also distributes gains, on the fund’s schedule rather than yours, which is covered on the taxable accounts page.

The original data

Of the 24,971 unique videos in research/search-study-corpus.jsonl, 1 has a title about passive against active management, at 181 views. Index funds appear in 132 videos at a median of 69,951 and value investing in 87 at 14,194. The counts come from site/rank_investing.py, which deduplicates by video id.

A candlestick series with several gaps, the largest of them marked.
Both approaches meet the same shock. Illustrative chart - not real market data.

One video, 181 views — the second-lowest figure measured in the investing set. The most argued subject in investing has essentially no audience, while the products on either side of the argument have hundreds of videos each. People want to know what to buy rather than which camp to join.

A stretch of price bars cut short at a decision point.
This fund beat the index for five years. Buy it? Illustrative chart - not real market data.

The answer to the question on that chart is that five years is not enough to separate skill from chance, and the fee is certain over the same period. A fund with a good record and a high fee is offering an uncertain benefit against a knowable cost. Judging on the one thing that is knowable is not cynicism about managers — it is the only part of the comparison that does not require a forecast.

When it fails

The failure on the passive side is not the funds; it is treating “index” as a synonym for “broad”. An index can be narrow, concentrated or constructed around a theme, and a passive fund tracking it faithfully delivers exactly that concentration at a low fee. The word describes the method rather than the diversification, and a portfolio of five thematic index funds is an active bet assembled from passive parts.

The second failure is judging active managers on recent performance. It is the least predictive signal.

A third is ignoring turnover costs. They sit outside the expense ratio.

A fourth is letting the satellite grow. The fee then applies to the whole portfolio.

A fifth is comparing gross returns. The comparison only means anything net.

And a sixth is treating this as a settled argument. The arithmetic about the group is settled; the question about any individual manager is not.

Index funds is the passive side in practice. Expense ratio is the number the whole comparison turns on. And the three-fund portfolio is the passive position taken to its conclusion.

What I actually do

I hold index funds and I also take active positions, and I do not think that is a contradiction. What I try not to do is confuse them — the index portion is where I have no view and the active portion is where I do, and keeping them in separate accounts is the only way I have found to stop the second quietly eating the first.

— Michael Whitman

This page is educational, not financial advice. Test every idea on your own charts before risking money.