Advanced3 min read

Leveraged and Inverse Funds

Funds targeting a multiple of an index's daily return. The daily reset means their long-run behaviour differs from the multiple in ways that are mathematical rather than incidental.

MadStockAlerts Research · Updated August 29, 2026

What to take away

  • The objective is a multiple of the DAILY return, and it is stated that way.
  • Daily rebalancing causes returns to compound differently over longer periods.
  • Volatility decay reduces returns in choppy markets, in both directions.
  • A 2x fund can lose money over a period in which the index is unchanged.
  • The prospectus states all of this explicitly.

MAD Academy Training Video · 0:46

Daily Means Daily

A 3x fund promises three times the daily return, and compounding those daily results over time produces something quite different.

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The daily objective

These funds aim to deliver a stated multiple of an index's return over a single day. They achieve it by rebalancing their exposure at the end of each day, which is what makes the objective achievable daily and unachievable over longer horizons.

DayIndexIndex cumulative2x fund2x cumulative
1+10%+10%+20%+20%
2-9.09%0%-18.18%-1.8%

The index ends exactly where it started and the fund is down. Nothing malfunctioned: the fund delivered twice the daily return on both days, and compounding did the rest.

Volatility decay

The effect above is not an edge case. Any sequence of up and down moves produces it, and the magnitude grows with volatility and with the length of the period.

Index over a periodRealised volatilityApproximate 2x outcome
FlatLowSlightly negative
FlatHighMaterially negative
Up 20%, in a trendLowClose to, or above, 40%
Up 20%, choppyHighWell below 40%

The third row is the one that is genuinely favourable. In a smooth trend, daily rebalancing compounds in the holder's favour and can exceed the stated multiple. The products are not uniformly bad; they are path-dependent.

The index ends flat and the 2x fund does not
The index ends flat and the 2x fund does not90100110120Index flat, fund down 3.6 percent in aweekStartDay 1Day 2Day 3Day 4Day 5Indexed to 100

Scroll the chart sideways to see all of it.

  • Index
  • 2x daily fund
Nothing malfunctioned. The fund delivered twice the daily return on every day, and compounding across a choppy path did the rest. The effect grows with volatility and with the period.

Inverse funds and the same arithmetic

An inverse fund targets the negative of the daily return, and is subject to the same effect. Over a period in which an index falls and recovers, an inverse fund does not return to its starting point.

  • An inverse fund's exposure shrinks as it wins and grows as it loses, which is the opposite of a short position's behaviour.
  • A short stock position grows as it loses, which is why it can lose more than the capital committed.
  • The inverse fund therefore cannot lose more than its value, which is a genuine structural difference.
  • That protection is paid for through the path dependency.

The second and third points are worth holding together. An inverse fund is not a short position and is not equivalent to one, and each has the risk the other does not.

What the disclosure says

Every one of these products states its daily objective and warns about longer holding periods in its prospectus and frequently on its own page. The material is unusually explicit, and it is the disclosure the design requires.

Regulators have repeatedly taken action over the sale of these products to investors for whom the daily objective was unsuitable, which is a statement about how they are sold rather than about the products themselves.

The general point generalises past this product type: a wrapper's stated objective is the thing it is built to achieve, and any expectation beyond that objective is an assumption the holder has added.

The rebalancing flow they create

To maintain a constant daily multiple, these funds must adjust their exposure at the end of every session, and the direction of that adjustment is always the same as the day's move.

  1. 1The index rises during the dayThe fund's leveraged exposure has grown relative to its assets.
  2. 2It must buy to restore the ratioBecause the target is a multiple of the new, larger asset base.
  3. 3The index falls insteadThe fund must sell, for the same reason in reverse.
  4. 4The flow is concentrated near the closeWhich is when the rebalancing is executed.

The flow is always in the direction of the day's move: buying after a rise and selling after a fall. In a large move, the aggregate rebalancing across these funds can be substantial and is one documented contributor to late-session momentum.

It also explains why the products perform worst in choppy conditions. Each reversal forces a rebalance in the wrong direction, and the cost of those rebalances is the volatility decay described above, made concrete.

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