Why Can a Leveraged ETF Lose Money When Its Index Returns to Its Starting Point?
An ETF targeting twice the daily return compounds against a changing asset base. Compare choppy and steadily rising markets to understand why longer-term returns differ from a simple multiple.
Daily leveraged ETFs target a multiple of the return over a specified day, rather than guaranteeing the same multiple of the index's cumulative return over several days. Each day's return applies to the asset value resulting from the previous day. Because the path determines the outcome, calculate choppy markets and sustained gains separately.
Multiplying cumulative returns gives the wrong calculation
If the index's daily return is r, a daily 2x product, ignoring expenses, compounds its value by multiplying by 1+2r each day. That is a different operation from first calculating the index's cumulative return over several days and then doubling it. A day here means the valuation interval defined by the product. This also differs from a promise that an individual buying intraday will earn exactly twice the return from their purchase until the close. Actual management involves costs and tracking differences, so numerical examples provide a baseline for understanding the structure.
An uptrend and repeated swings produce different outcomes
If the market rises in the same direction each day, leveraged returns apply to a growing principal, and the period return can exceed a simple multiple. Repeated large rises and falls, however, can make compounding work against the investor. It is therefore also inaccurate to say that a longer holding period inevitably causes a fixed rate of decay. The issue is understanding the path, including volatility and holding period, as well as predicting direction. Also calculate how losses can grow if the market moves against your expectations.
Set the investment amount and review horizon first
Check the prospectus for the target multiple, benchmark, and reset interval. Even indexes with similar names can require different return comparisons if they use cash assets versus futures or different dividend treatment. Record separately the amount invested as a share of your overall assets and the economic exposure. Even a small investment can contribute more volatility than expected when a large multiple applies. Rather than simply waiting for losses to recover, decide in advance which circumstances would trigger a review of your assumptions.
Worked example
Hypothetical example: An index rises 20% from 100 to 120, then falls 16.6667% back to 100. A daily 2x ETF rises from 100 to 140, then falls approximately 33.3333% to about 93.33. Conversely, if the index rises 10% on each of two consecutive days, its cumulative gain is 21%, while the ETF reaches 100 × 1.2 × 1.2 = 144, a 44% gain. Neither outcome equals simply doubling the period return. All examples exclude costs and tracking differences.
What to check
- Have you checked the period over which the target multiple applies?
- Have you calculated the daily path instead of multiplying the index's cumulative return?
- Have you considered choppy trading, consecutive gains, and a sharp decline separately?
- Have you distinguished the amount invested from underlying economic exposure?
Sources and primary materials
This is educational material about research methods. For an actual company decision, verify the filings and primary sources for the relevant period.