Dual Momentum: Relative and Absolute

Economic framing

Dual momentum combines a relative rule—own the strongest asset among a peer set—with an absolute rule—own it only when its return is positive or above a defensive hurdle. Relative momentum answers allocation; absolute momentum answers whether risk should be allocated at all. The combination can reduce participation in broad downtrends, but it introduces switching and cash-timing risk.

The key modeling distinction is between a descriptive relationship and an investable return. A signal can be economically coherent, statistically significant, and still fail after its publication lag, financing, roll conventions, spreads, and capacity limits. Define returns in the investor’s base currency and make the signal available only when its inputs could genuinely have been observed.

Signal construction

Define a realistic universe before computing ranks. Match total-return indices, currency hedges, data publication lags, and trading calendars. Use a trailing return signal with a lag, rank only eligible assets, and route the allocation to bills or a defensive asset when the absolute filter fails. Tie-breaking, turnover bands, and stale observations must be encoded rather than decided after the fact.

Component	Robust implementation	Common failure
Universe	Tradable instruments with history	Survivorship and stale quotes
Signal	Lagged, normalized, winsorized	Looking through revisions
Sizing	Volatility and liquidity aware	Equal notional concentration
Execution	Dated contracts and conservative costs	Mid-price backtest

import numpy as np
import pandas as pd

def bounded_position(signal: pd.Series, vol: pd.Series, target=.10):
    z = signal.clip(-2, 2) / 2
    raw = z * target / vol.clip(lower=.03)
    return raw.clip(-.20, .20)

The code is deliberately only a position transform. Production research needs a separate data-validation layer, an instrument master, expiry-aware pricing, and a reproducible version of every input.

Portfolio and risk controls

Evaluate performance in regime slices and report turnover, tax, and implementation shortfall. The rule can concentrate in a single asset class after a long winner, so apply maximum weights and risk budgets. Contrast its peer ranking with cross-sectional momentum and use trend-following momentum trading for the absolute component.

Risk	Diagnostic	Control
Model risk	Subperiod and parameter dispersion	Ensemble and shrinkage
Liquidity	Spread and turnover under stress	Capacity and participation caps
Tail loss	Scenario expected shortfall	Gross and factor limits
Operational	Missing marks or contract changes	Exceptions and reconciliation

Research protocol

Use walk-forward evaluation rather than choosing parameters on the full sample. Preserve delisted instruments where relevant, use the actual rebalance calendar, and examine signal decay after a realistic delay. Report gross and net Sharpe, drawdown, expected shortfall, turnover, leverage, and exposures—not only a cumulative chart. A useful falsification test is to perturb lookbacks, rebalance dates, and reasonable cost assumptions; a fragile result should not receive the same capital as an effect that survives those variations.

Separate alpha from risk transformation. Volatility targeting can improve comparability, yet it may mechanically add leverage after quiet periods. Attribution should explain whether returns came from directional beta, carry, convexity, rebalancing, or the intended signal. Governance requires pre-specified limits and an escalation path when data or liquidity assumptions fail.

Key takeaways

Treat the signal as a conditional forecast, not a permanent economic law.
Use lagged, executable data and include financing, rolls, and conservative transaction costs.
Size from risk and liquidity, then control common factors and stressed correlation.
Favor designs that remain credible after parameter, cost, and regime perturbations.

Measurement details

A practical model records the observation timestamp, the decision timestamp, and the execution timestamp separately. This prevents accidental use of a fixing, macro release, or option quote that was unavailable when the trade would have been placed. Transform raw inputs into robust percentiles or z-scores within a stable universe, and freeze the cross-sectional membership at each rebalance.

Test	Question answered	Passing evidence
Availability	Was the input known?	Timestamped source and lag
Stability	Is one parameter decisive?	Similar results in a parameter neighborhood
Costs	Does the edge survive trading?	Net return at stressed spreads
Capacity	Can intended size trade?	Volume and market-impact budget

Do not infer causality from a favorable in-sample regression. The relationship may proxy for a broad risk premium, and its payoff can vanish when the portfolio is most crowded. Use a holdout period and a paper-trading reconciliation before production capital.