MULL +2x GraniteShares 2x Long MU Daily ETF
MULL
ETF +2x BULL standardGraniteShares 2x Long MU Daily ETF
Realized return vs theoretical +2x MU
Other leveraged products tracking MU
| Symbol | Factor | Direction | Issuer | Name | Implied AUM | 30d Vol | Options |
|---|---|---|---|---|---|---|---|
| MUU | +2x | BULL | Direxion | Direxion Shares ETF Trust Direxion Daily MU Bull 2X ETF | $4.58B | 62,695,162 |
How MULL works
MULL targets +2x the daily return of MU — not the cumulative return over multi-day windows. The fund rebalances at the close each day using swaps or futures, which is what creates the volatility drag the chart above visualizes.
Mathematical headline: drag ≈ −0.5 × N × (N−1) × σ² per period. For a +2x product on an underlying with 25% annualized vol, expected annual drag is around 6.2%. Add expense ratio and the realized number is typically worse.
- Short-term tactical: daily and intraday holds are where these products were designed to live.
- Premium selling: options on MULL carry very rich IV — see the quote page for IV rank and straddle pricing.
- Multi-day directional: works in strong trends; gets eaten alive in chop. Use the chart above to gauge the realized vs theoretical track record.