Rebalancing Leveraged and Inverse Fund Positions
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Most leveraged and inverse funds are designed to provide a multiple (for example, a "fund multiple" of +2x or 2x) of an underlying index return on a daily basis, before fees and expenses. Over time, the returns of these funds may be greater or less than the index return times the fund multiple, primarily due to the effects of daily compounding.
Leveraged and inverse funds are most often used as shortterm tactical tools. Investors who want to hold them for longer periods should consider a rebalancing strategy to seek returns over time that are close to the fund multiple times the index return.^{1} Rebalancing involves periodically adding to, or subtracting from, fund positions to realign exposure to the underlying index. Note that rebalancing can entail transaction costs and tax consequences that should be considered when determining a rebalancing strategy.
An Example of Rebalancing an Inverse Fund Position
This chart shows the returns of an inverse fund and its underlying index over an unspecified timeframe. Each started at $100. Over time, the index returned 5% and the inverse fund returned 10%, yielding a +15% Gap.
To calculate the rebalance trade, apply the formula:
Trade $ = $100 x (1+ 0.05) – $90
Trade $ = $105 – $90
Trade $ = $15
The fund investor must add $15 to his current position of $90 so that his dollar exposure is realigned to the ending index price of $105.
The following three steps show a triggerbased rebalancing technique that applies to all leveraged and inverse funds.
1. Monitor the Gap.
Monitor the difference between the unleveraged (1x) index return and the leveraged or inverse fund return.
2. Calculate your rebalance trade.
If the index return is greater than the fund return, you
may choose to add to your fund position. If the index
return is less than the fund return, you may choose to decrease your position.
To calculate your trade in dollars—regardless of the fund multiple—use the following formula:
3. Repeat.
Continue to monitor the Gap and rebalance according to your rebalancing strategy.
Note: Investors in leveraged and inverse funds rebalance by withdrawing capital on investment gains and adding capital on investment losses. By rebalancing, investors reposition their dollar exposure to the index to target cumulative returns that are consistently close to the index return times the fund multiple.
Rebalancing Calculator: Try it Yourself
Determining Your Rebalancing Strategy
Rebalancing can be an effective strategy for leveraged and inverse fund investors seeking to achieve returns over time that are consistently close to the fund multiple (e.g., +2x or 2x) times the index return.
There are two common approaches to designing a rebalancing strategy: triggerbased (see example) and calendarbased. No matter which rebalancing method you choose, you need to monitor your fund positions carefully.

Calendarbased. This approach entails rebalancing at set time intervals (e.g., weekly, monthly or quarterly). Calendarbased strategies are generally less tuned to market conditions than triggerbased strategies—they can lag in responding to volatile market conditions and require more trading in low volatility periods. In effect, a calendar approach ignores the size of the Gap between the index return and the fund return, which should be monitored carefully.

Triggerbased. This approach activates rebalancing each time the Gap between the index return and the fund return reaches a specific threshold (e.g., ±5% or ±10%).
Factors that Affect Rebalancing Frequency
For any leveraged or inverse fund rebalancing strategy it is critical to monitor your fund positions frequently. How often you may need to implement a rebalancing trade
is influenced by the characteristics of the fund and the index as well as by market conditions.

The Fund Multiple. The higher the fund multiple (e.g., 3x versus 2x), the more frequently you will generally need to rebalance. In addition, an inverse fund requires more rebalancing compared to a corresponding leveraged fund (e.g., 2x versus 2x) because it moves in the opposite direction of the underlying index each day (see example).

Volatility. A leveraged or inverse fund based on an index with higher volatility (such as the Nasdaq 100) may require more frequent trades to rebalance than one based on an index with lower volatility (such as the S&P 500).

Percentage Trigger. A larger percentage trigger implies that fewer trades may be required over time. All other factors being equal, a percentage trigger of ±10% will require less rebalancing than one of ±5%, although the size of your trades may be larger.
Rebalancing: Practical Considerations
 Evaluate the potential benefits of rebalancing against all related transaction costs and tax consequences.
 Rebalancing may entail adding to your fund position. Do you have available cash?
 Monitor your leveraged or inverse fund positions frequently, no matter how often you intend to rebalance.
 Be aware that rebalancing can reduce both the negative and the potential positive effects of daily compounding.
For example, in low volatility up or downtrending markets, daily compounding can enhance the potential returns of leveraged and inverse funds. In such circumstances, a rebalancing strategy may result in underperformance compared to fund positions that have not been rebalanced, even though you may have achieved returns that are closer to the index return times the fund multiple.