Trinity Flow

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# Alpha-Rocket: A Dual-Dimension Framework for Momentum with Confirmed Relative Strength

Most portfolio frameworks still confuse two fundamentally different dimensions of market behavior: how fast a price moves, and how strongly it performs relative to a benchmark. Treating these as the same signal is one of the most common sources of instability in “momentum” portfolios.

This framework separates these two dimensions and defines a unified structure for return classification:

We call the intersection of directional price dynamics and relative performance the Alpha-Rocket regime.

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## 1. Two independent dimensions of return

### 1.1 Directional Convexity (price behavior)

Directional convexity describes how an asset moves through time:

- Low convexity → range-bound, noisy behavior
- Medium convexity → stable trending behavior
- High convexity → accelerating move (“rocket-like” structure)

This is the dimension most traders intuitively refer to as momentum. However, it only describes the shape of price, not whether the move is meaningful relative to other assets.

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### 1.2 Relative Performance (alpha)

Alpha measures performance relative to a benchmark (index, ETF, or peer basket):

- Negative alpha → underperforming the market
- Neutral alpha → tracking beta
- Positive alpha → outperforming the market

This dimension captures whether a move is economically or structurally meaningful.

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## 2. The core problem in traditional classification

Most frameworks implicitly mix these two dimensions:

- Momentum models focus on price convexity
- Factor models focus on relative performance

This creates blind spots where:

- strong price moves are not supported by relative strength
- outperformers lack directional structure
- “momentum” becomes beta noise rather than true signal

A unified classification requires a joint state space.

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## 3. The Alpha-Rocket definition

An Alpha-Rocket is defined as:

- Alpha > 0 (positive relative performance)
- Convexity ≥ threshold (accelerating price structure)

This intersection identifies assets where momentum is validated by relative strength rather than driven purely by beta expansion or speculative flow.

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## 4. 2D return regime space

All assets can be mapped into a two-dimensional space:

- X-axis: Directional Convexity (price structure)
- Y-axis: Alpha (relative performance)

This produces four primary regimes:

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### 4.1 Alpha-Rocket (top-right quadrant)

- High convexity
- Positive alpha

This is the core target regime: momentum that is confirmed by relative outperformance.

Typical characteristics:
- accelerating trend
- institutional flow confirmation
- structurally supported momentum

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### 4.2 Soft Trend Alpha

- Medium convexity
- Positive alpha

Characteristics:
- stable outperformers
- non-explosive but consistent trends
- lower volatility than Alpha-Rocket regime

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### 4.3 Rocket without alpha (speculative momentum)

- High convexity
- Neutral or negative alpha

Characteristics:
- strong price movement without relative confirmation
- often beta-driven or liquidity-driven spikes
- structurally fragile momentum

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### 4.4 Underperforming regimes

- Low alpha
- Low or negative convexity

Characteristics:
- lagging assets
- capital destruction regimes
- absence of directional structure

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## 5. Why Alpha-Rocket matters

The key insight is that:

Price acceleration alone is not sufficient.
Relative performance alone is not sufficient.

Only their intersection produces a structurally robust momentum signal.

This removes:
- beta-driven false breakouts
- speculative spikes without confirmation
- low-quality momentum traps

And retains:
- trend leaders with structural support
- assets with both directional and relative strength

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## 6. Portfolio implication

The Alpha-Rocket Portfolio is not a sector bet or a pure momentum strategy. It is a regime-filtered allocation system.

Capital is allocated only when:

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