Leveraged and inverse ETFs: daily reset math and volatility drag

A leveraged ETF promises a multiple of an index's return, such as 2× or 3×. An inverse ETF promises the opposite of the return, −1×, and a leveraged inverse fund promises a multiple of the opposite, such as −3×. There is a condition in the small print that changes everything: the promise is for one day. Over a week, a year or five years, the result can be far from the multiple, and it can be worse or better depending on the path the index takes.

That gap is not a fee or a flaw in the fund. It is arithmetic. A fund that resets its leverage every day compounds daily returns, and compounding leveraged returns rewards trends and punishes back-and-forth swings. This guide shows how the funds are built, works through the reset math with exact numbers, gives the formula for the drag, and then checks it against five years of real prices for the Nasdaq-100 fund QQQ and its 3× and −3× siblings, TQQQ and SQQQ.

How the funds are built

A leveraged fund cannot get 3× exposure by owning more stock than it has money for, so it uses derivatives. The SEC's bulletin lists swaps, futures contracts and other derivatives as the main tools. A typical 3× fund with $100 million of assets holds its cash and some of the index stocks, and adds total-return swaps with banks and index futures until its total exposure reaches $300 million. An inverse fund sells exposure through the same instruments. (Derivatives explained: forwards, futures, options and swaps describes swaps and futures.)

The defining feature is the daily reset. At each close the fund rebalances so that tomorrow's exposure is again exactly 3× (or −3×) its assets. That rebalancing has a direction that surprises most people.

The daily reset, two days at a time

Take those two days on their own. The index rises 10% and then falls 9.09%, back where it started. The 3× fund gains 30% on day 1 and loses 27.27% on day 2.

The fund delivered exactly what it promised on each day and still lost 5.45% over two days while the index was flat. The −3× fund does no better: it falls 30% to $70 and then rises 27.27% to $89.09, a loss of 10.9% on a flat index.

Repeat the same pair of days five times, ten trading days in all, and the index is still at $100.00. The 3× fund is at $75.54 and the −3× fund at $56.13.

The effect cuts both ways. If instead the index rises 1% every day for ten days, it ends up 10.46%. The 3× fund ends up 34.39%, more than three times the index's gain, and the −3× fund ends down 26.26%, less than three times the index's 10.46% gain in reverse. Steady trends add to the multiple; volatility subtracts from it.

The volatility drag formula

The two-day examples generalize. For a fund that delivers exactly L times the daily return, ignoring fees and financing, a standard approximation in log (continuously compounded) terms is:

The first term is the multiple you expect. The second is the drag, and it grows with the square of leverage and with variance.

These are illustrative values for a hypothetical index with 25% annual volatility, not a forecast. Two things stand out. Inverse funds suffer more drag than long funds of the same size, because for L = −3 the term is (9 + 3) ÷ 2 = 6. And the drag is a function of volatility, so the same fund held through a calm year and a turbulent year can produce very different results for the same index return.

The formula is an approximation. On top of it, the fund pays an expense ratio and, implicitly, the cost of financing its extra exposure through swaps and futures, which rises with short-term interest rates. Inverse funds, which are effectively short, are hit by the other side of that financing.

What happened: QQQ, TQQQ and SQQQ since November 2021

QQQ tracks the Nasdaq-100 index. TQQQ seeks 3× its daily return and SQQQ −3×. The chart rebases all three to $100 at the start of November 2021, just before a sharp decline in growth stocks, and uses a log scale so equal percentage moves look the same size.

From the week of November 1, 2021 to October 29, 2026, using weekly closing prices:

Prices are adjusted for the funds' share splits and reverse splits.

The index rose 79%, so a naive reading of "3×" would expect TQQQ to be up around 240%. It ended up less than the index. Calendar years show why the path matters:

• 2022 (a falling, volatile year): QQQ −33.1%, TQQQ −79.2%, SQQQ +81.9%. Three times −33.1% would be −99%; the fund lost less than that, because daily compounding in a falling market shrinks the base it loses on. SQQQ, meanwhile, gained far less than three times 33%.
• 2023 (a strong trend up): QQQ +53.8%, TQQQ +193.1%, more than three times the index's gain, while SQQQ fell 75.1%.
• 2024: QQQ +26.6%, TQQQ +62.5%, SQQQ −55.6%.
• 2025: QQQ +18.2%, TQQQ +27.1%, SQQQ −53.8%.

The decisive damage was the 2022 drawdown. A fall of 80.5% needs a gain of about 413% to get back to even; QQQ's fall of 35.5% needed about 55%. TQQQ first closed a week above its November 2021 price in the week of December 2, 2024, when QQQ was already about 32% above its own starting level. SQQQ shows the drag at its harshest: even its 2022 gains were lost many times over in the years that followed.

These figures are price returns from Finabase's weekly closes and exclude the funds' small distributions, so they differ slightly from the funds' official total returns.

The rules around these funds

Warnings. In June 2009 FINRA issued Regulatory Notice 09-31 reminding brokers of their sales-practice duties for these products. It said that inverse and leveraged ETFs that reset daily "typically are unsuitable for retail investors" who plan to hold them for more than one trading session. The SEC and FINRA's joint investor alert, now an updated bulletin on Investor.gov, makes the same point: performance over periods longer than one day can differ significantly from the stated daily objective and can expose investors to significant and sudden losses.

Leverage limits. In October 2020 the SEC adopted Rule 18f-4, which governs derivatives use by registered funds. According to the SEC's announcement, leveraged and inverse ETFs became subject to its value-at-risk limit, which in practice caps a fund's target at twice the daily return of its index (or twice the inverse). Funds already operating as of October 28, 2020 that seek more than that, such as existing 3× funds, may keep operating if they meet specified conditions. The same release amended Rule 6c-11 so that leveraged and inverse ETFs complying with Rule 18f-4 can operate under the standard ETF rule (see How ETFs work: creation, redemption, NAV and the arbitrage band).

Gap risk and other pitfalls

A single bad day can do lasting damage. A 3× fund loses 3% for every 1% the index falls in a session. An index drop of 20%, the level at which US market-wide circuit breakers halt trading for the rest of the day (Market-wide circuit breakers: the 7%, 13% and 20% halt rules), would cost a 3× fund about 60%. A one-day fall of 33.3% would, in principle, wipe it out. The prospectus describes what the fund does in that case.

Overnight and intraday timing. The multiple applies from one close to the next. Buy at noon and you get a different multiple of the index's move until the next close, because the fund's exposure was set at the previous close.

Costs are higher. Expense ratios are higher than for plain index funds, and the financing embedded in swaps and futures rises with short-term rates.

Inverse is not the same as short. Short selling a stock gives you a fixed short position that grows as the price falls. An inverse ETF resets daily, so over time it behaves differently from a short sale (Short selling explained: borrowing, fees, rules and unlimited risk explains the plain short). It also cannot lose more than you invest, which a short sale can.

Not a hedge you can forget. Using a −1× fund to hedge a long portfolio works for days, not months, unless you rebalance the hedge yourself.

Leveraged ETFs compared with other ways to get leverage

See Buying on margin: how margin loans, interest and leverage work, Futures margin and leverage: initial, maintenance and margin calls and Options basics: how calls and puts work, with payoff diagrams for those alternatives.

How Finabase does it

TQQQ, SQQQ and QQQ each have a symbol page with a live quote, an interactive chart, news and dividend history, like any ETF. You can chart them over the same range on their chart pages to see the divergence for yourself, or put them side by side in the comparison tool. Finabase does not label funds as leveraged or calculate volatility drag; the chart and the arithmetic on this page are ours, from Finabase's frozen weekly price data.

Frequently asked questions

Can you hold a leveraged ETF long term?

You can, but the fund is designed to hit its multiple only for one day. Over longer holding periods the result depends on the path the index takes and can be well below the multiple, or a heavy loss even when the index rises, especially in volatile markets.

What is volatility drag?

It is the loss from compounding a leveraged daily return through up-and-down moves. A 3× fund that follows an index up 10% and down 9.09% ends at $94.55 per $100 while the index is back at $100. The drag grows with the square of leverage and with volatility.

Can a 3× ETF go to zero?

In principle, yes, if the index fell by a third or more in one day. In practice funds have rules for extreme moves, and US circuit breakers halt trading after a 20% fall in the S&P 500, but a large single-day drop would still cause a loss that is very hard to recover from.

Why did SQQQ lose so much even though the Nasdaq fell in 2022?

Because it gained less than 3× during the fall, and then lost heavily in the following years as the index rose. From November 2021 to October 2026 SQQQ's price fell 95% while QQQ's rose 79%.

Are leveraged ETFs the same as buying on margin?

No. A margin loan sets your leverage once and lets it drift, and it can lead to margin calls and losses larger than your investment. A leveraged ETF resets to its multiple daily and cannot lose more than you invested, but it suffers volatility drag.

Summary

Leveraged and inverse ETFs deliver a multiple of an index's return for one day and then reset, which forces them to buy after up days and sell after down days. Compounding those daily returns makes the long-run result depend on the path: trends can lift a 3× fund above three times the index's gain, while volatility drags it below, by roughly (L² − L) ÷ 2 times the index's variance each year before costs. QQQ, TQQQ and SQQQ since November 2021 show both effects: TQQQ beat 3× in the 2023 rally but lost 80% in the 2021–22 drawdown and ended with a smaller gain than the index, and SQQQ lost 95%. Regulators have said since 2009 that the products are built for daily objectives, and since 2020 new funds are generally limited to 2×.