A Quantitative Correlation Strategy for ZB and NQ Futures

Setup Definition and Market Context

This intraday setup takes a quantitative approach to the bond-equity correlation, focusing on the relationship between 30-Year U.S. Treasury Bond futures (ZB) and Nasdaq-100 futures (NQ). The strategy is traded on a 30-minute timeframe and uses a statistical measure—the Z-score of the spread between the two instruments—to identify entry and exit points. The premise is that the relationship between long-duration bonds (ZB) and growth-sensitive tech stocks (NQ) has a predictable mean and variance. By calculating the Z-score of the spread between their prices, we can identify statistically significant deviations that are likely to revert to the mean. This setup is market-neutral and aims to profit from the convergence of the spread, regardless of the overall market direction.

Entry Rules

Entry rules are based on the Z-score of the ZB-NQ spread crossing a specific threshold.

1. Spread Calculation: Create a continuous spread series by calculating (ZB Price * ZB Multiplier) - (NQ Price * NQ Multiplier). The multipliers are used to dollar-adjust the two contracts.
2. Z-Score Calculation: Calculate the 100-period rolling Z-score of the spread series on the 30-minute chart.
3. Entry Trigger:
   • Long Spread (Long ZB / Short NQ): When the Z-score of the spread drops below -2.0, indicating that ZB is statistically cheap relative to NQ.
   • Short Spread (Short ZB / Long NQ): When the Z-score of the spread rises above +2.0, indicating that ZB is statistically expensive relative to NQ.
4. Confirmation: No additional confirmation is needed. The entry is purely quantitative.

Exit Rules

Exits are also based on the Z-score of the spread.

• Winning Scenario (Profit Target): The position is closed when the Z-score of the spread reverts to the mean (i.e., crosses back above 0 for a long spread trade, or back below 0 for a short spread trade).
• Losing Scenario (Stop Loss): The stop loss is triggered if the Z-score of the spread reaches -3.0 for a long spread trade, or +3.0 for a short spread trade. This indicates that the relationship between the two instruments may be undergoing a structural shift.

Profit Target Placement

• Mean Reversion: The profit target is the mean of the spread (Z-score = 0).

Stop Loss Placement

• Z-Score Threshold: The stop loss is a Z-score of -3.0 for a long spread and +3.0 for a short spread.

Risk Control

• Max Risk Per Trade: The maximum risk per trade is 1.25% of the trading account.
• Position Sizing: Positions are dollar-neutral.

Money Management

• Fixed Fractional: A fixed fractional model is used.

Edge Definition

• Statistical Advantage: The edge is based on the statistical tendency of the ZB-NQ spread to revert to its mean.
• Win Rate Expectations: The expected win rate is high, around 65-75%.
• Risk-to-Reward Ratio: The R:R ratio is variable but is generally favorable due to the high win rate.

Common Mistakes and How to Avoid Them

• Overfitting the Z-Score Period: Using a Z-score period that is too short or too long. Avoidance: Backtest the strategy to find the optimal Z-score period.
• Ignoring Structural Breaks: The relationship between bonds and stocks can change. Avoidance: The 3.0 Z-score stop loss is designed to protect against this.

Real-World Example

• Account Size: $1,000,000
• Max Risk per Trade: 1.25% = $12,500

1. Z-Score Signal: The Z-score of the ZB-NQ spread on the 30-minute chart drops to -2.2.
2. Entry: A long spread trade is initiated: long ZB and short NQ, with dollar-neutral position sizes.
3. Stop Loss: The stop loss is set at a Z-score of -3.0.
4. Profit Target: The profit target is a Z-score of 0.
5. Trade Management: The spread begins to revert to the mean. The Z-score rises, and the position is closed when the Z-score crosses 0. The trade is profitable.