Leveraged ETFs, and the arithmetic nobody reads

The prospectus already told you

A leveraged ETF targets a multiple of the underlying index's return over one trading day. That is the entire mandate. Nothing in the product promises 3x over a week, a month, or a year, and the funds say so plainly in their own documents.

To hold that daily multiple, the fund rebalances its exposure at the end of every session. If the index rises, the fund must add exposure to keep the ratio; if the index falls, it must cut exposure. The mechanical consequence is that the fund buys after up days and sells after down days, which is exactly the wrong behaviour in a market that oscillates.

The worked two-day example

Take an index at 100 and a 3x fund at 100. Day one the index rises 10%; day two it falls 9.0909%, which returns it exactly to 100.

Day 2 fund value = 130.00 × (1 − 0.272727) = 130.00 × 0.727273 = 94.55 Index round trip: 0.00% 3x fund round trip: −5.45%

The index finished exactly flat. The 3x fund lost 5.45%. Nobody made a bad decision and no fee caused it. The loss is pure arithmetic: a −27.27% day requires a +37.5% day to recover, and the fund never got one.

Volatility drag, generalised

The same effect exists in any leveraged compounding sequence, and it scales roughly with the square of the leverage factor and with variance:

drag ≈ ½ × L × (L − 1) × σ² where L is the leverage multiple σ² is the variance of daily returns

The two things to take from that expression: drag rises with the square of volatility, so a choppy market is disproportionately punishing, and it rises faster than linearly with L, so a 3x fund suffers roughly three times the drag of a 2x fund on the same underlying, not one and a half times.

A second worked case makes the asymmetry clear. Run the same round trip with a 1% daily swing instead of a 10% one: index up 1% then down 0.9901% returns to 100, while the 3x fund goes to 103.00 then down 2.9703% to 99.94, a loss of only 0.06%. Same structure, a hundred times smaller bill, because volatility is what you are paying.

The trending exception

Compounding is not only a tax. In a smoothly trending market with low daily volatility, compounding works in your favour and a 3x fund can beat 3x the underlying's period return. Five consecutive 2% up days give an index +10.4% while a 3x fund returns +33.8%, which is more than three times the index's period gain.

This is the honest version of the trade-off. Leveraged ETFs are instruments for short, directional, low-chop periods. They are not broken products; they are products whose behaviour depends on the path, not just the endpoint.

When they fit and when they do not

Sizing must be tighter, not the same

The naive mistake is to size a 3x position the same way you size a normal one and treat the extra leverage as extra upside. Run the risk arithmetic instead.

A $30,000 account risking 1% has a $300 budget. On a normal stock with a $2.40 stop distance that is 125 shares. On a 3x ETF, the same percentage stop distance in the underlying becomes three times as large in the fund, so the equivalent stop distance is roughly $7.20 and the same $300 budget buys about 42 shares. The position must shrink by roughly the leverage factor for the risk to stay identical.

My own execution rules encode this as a hard half-cap on leveraged ETF positions: whatever normal sizing produces, a leveraged instrument gets half of it. That is a deliberately blunt rule, and blunt rules survive contact with a bad week better than clever ones do.

• Compute the stop from the fund's own ATR, not from the underlying's chart.
• Treat overnight gaps as materially worse, because a gap is also multiplied by the leverage factor.
• Set a maximum holding period in days and honour it, because drag is a function of time in the instrument.
• Never hold two correlated leveraged positions and count them as separate risk. They are one position with a bigger number.

Position sizing arithmetic, break-even win rates, and risk of ruin are all in the free risk toolkit.

Educational content, not financial advice. No live profit-and-loss figures are claimed anywhere on this site; backtest and walk-forward results are always labelled as such. Full terms: /terms.html

Tools referenced in this guide

• Trader's risk toolkit — position sizer and risk-of-ruin simulation for tighter leveraged sizing.
• Kelly criterion guide — why estimated edges argue for smaller size, especially with leverage.
• TradeLog — tag leveraged trades separately and compare their real expectancy against unleveraged ones.