Systematic Allocation in International Equity Regimes

This research examines the critical quantitative investment problem of systematic tactical allocation to international equity mandates—specifically Emerging Markets (EM) and Europe, Australasia, and the Far East (EAFE)—amidst conjectured macroeconomic regime transitions. The investigation is precipitated by observable deteriorations in USD hegemony, elevated geopolitical risk premiums, and protracted macroeconomic uncertainty. These factors collectively challenge the post-Global Financial Crisis paradigm of consistent US equity outperformance, suggesting a potential inflection point in relative returns and currency-adjusted Sharpe ratios.

The central research question is whether a statistically robust, signals-based framework can be engineered to systematically time exposure to EAFE equities, thereby capitalizing on these postulated regime shifts. We move beyond traditional, static mean-variance optimization by developing a dynamic model that integrates momentum variables to generate actionable, out-of-sample allocation signals.

Introduction

The empirical core of this study constitutes a significant extension and enhancement of our prior analysis

We formulate and test the hypothesis that the conditional excess return of the US equity market over ex-US developed markets is a predictable function of lagged momentum and trend-regime states. This predictability is posited to stem from persistent, regime-dependent capital flows and slow diffusion of macroeconomic information across global markets, rather than static sectoral tilts.

By extending the data universe to 1969—rather than the more common post-1994 sample constrained by MSCI EM Index availability—we capture multiple complete USD cycles, periods of commodity-driven inflation, and earlier episodes of de-globalization. This elongated sample permits a more powerful analysis of structural breaks and regime-dependent factor efficacy. The extended dataset shall furthermore provide a fundamental basis for decomposing excess returns into currency contributions and multiple economic-cycle expansions/contractions, offering a more nuanced diagnostic of performance drivers across epochs.

The ultimate output is a disciplined, rules-based overlay strategy designed to create switch decisions between U.S. and EAFE equities based on quantified momentum variables, with the objective of generating positive alpha and improved portfolio efficiency under evolving macroeconomic conditions.

Literature Review: Empirical Foundations of International Equity and Currency Regimes

The investigation is situated within three principal strands of academic literature, which provide the theoretical and empirical substrate for our analysis:

  1. The Equity-Currency Nexus and the Dollar Risk Factor: Our work is grounded in foundational research on the intertemporal relationship between exchange rates and equity returns. Key studies, such as those by Brusa, F., Ramadorai, T., & Verdelhan, A. (2014), formally identify the USD as a pervasive risk factor in cross-border investing. They demonstrate that a long-USD, short-foreign-currency position explains a significant portion of the returns for global equity portfolios, providing a mechanistic link between currency appreciations and US equity outperformance. Our research indirectly extends this by mimicking the time-varying potency of this factor and its potential attenuation during hypothesized USD-weakening regimes.
  2. International Diversification Benefits and the Erosion of the “US Exceptionalism” Anomaly: A long-run historical perspective on global equity returns, exemplified by Dimson, E., Marsh, P., & Staunton, M. (2021) in the Credit Suisse Global Investment Returns Yearbook, provides essential context. Their century-long data series reveals that leadership between the US and ex-US markets is episodic and mean-reverting over very long horizons. Furthermore, seminal papers like Goetzmann, W. N., Li, L., & Rouwenhorst, K. G. (2001), which reconstruct historical EM data, underscore the potential for spectacular—albeit volatile—returns in emerging markets during catch-up phases. Our extended dataset from 1969 operationalizes these insights, allowing us to test whether the conditions for such a leadership rotation are presently converging.
  3. Macroeconomic Regimes and Asset Allocation: The third pillar draws from literature on regime-switching models and their application to tactical asset allocation. Research by Ang, A., & Timmermann, A. G. (2011) on the importance of capturing different market states informs our methodological choice to explicitly consider USD and volatility regimes. We synthesize this with the empirical findings on the predictive power of valuation spreads (e.g., Campbell, J. Y., & Shiller, R. J. (1988), cyclically adjusted price-earnings ratios applied internationally).

Data: Sources, Instruments, and Sample Period Rationale

The empirical analysis employs a long-horizon dataset constructed to capture multiple secular macroeconomic and currency regimes. Equity return series for the US and developed ex-US markets are proxied by the total return indices of the SPDR S&P 500 ETF Trust (SPY) and the iShares MSCI EAFE ETF (EFA), respectively.

While these ETF proxies provide a tractable basis for modeling implementable strategies, their return histories are synthetically extended and backfilled using the foundational long-term return data from the Quantpedia 100-Year Extended Portfolio Database. This database provides meticulously constructed total-return series for (across other asset classes) US and international equities, derived from primary sources via our own methodology.

The core sample period runs from 31 December 1969 through 31 December 2025. This inception date is strategically chosen to precede the collapse of the Bretton Woods system (1971), thereby encompassing the subsequent free-float USD regimes, the inflationary shocks of the 1970s, the USD super-cycle of the 1980s, the period of the “Great Moderation,” the Global Financial Crisis, and the recent era of quantitative easing and nascent deglobalization. This 56-year sample provides sufficient statistical power to analyze regime-dependent asset behavior, with approximately 672 monthly observations. The explicit exclusion of pre-1970 data focuses the study on the modern era of fiat currencies and integrated capital markets, while the elongation through 2025 incorporates the recent period of heightened geopolitical tension and monetary policy normalization.

A critical data limitation concerns Emerging Markets (EM). A coherent, investable EM proxy did not exist prior to the launch of standardized indices in the late 1990s. Constructing a synthetic EM portfolio ex-post would introduce significant selection and survivorship bias. Consequently, and for methodological purity, this study focuses on the EAFE-SPY spread as the primary testing vehicle. The EAFE universe provides a cleaner, historically consistent representation of developed ex-US equity performance, allowing for an unambiguous test of USD-regime and momentum effects without the confounding structural break of EM index inception.

Methodology: Systematic Spread Construction and Condition-Regime Hypothesis Testing

Spread Construction and Empirical Behavior

The foundational analytical construct is a dollar-neutral spread between the EAFE and US equity markets. Formally, we define a fully collateralized spread position S at time t as the difference between the total return of asset EFA and that of SPY over a specified period. The cumulative performance of this static spread (Figure 1) exhibits distinct regime characteristics: high volatility and mean-reversion in the 1970s-1980s, followed by a pronounced, persistent negative drift from the mid-1990s onward, consistent with the era of US technological dominance and dollar strength. This visual evidence supports the formal hypothesis that the spread is trending and may be forecasted using regime-sensitive technical and macroeconomic signals.

Figure 1: Cumulative Performance of EFA-SPY spread (1970-2025).

Hypothesis Generation and Systematic Trading Rules

We postulate one simple hypothesis for generating alpha from the dynamic EFA-SPY relationship:

H: Spread Momentum (Time-Series): The relative performance spread S exhibits persistent intermediate-term trends that can be captured with time-series momentum signals.

To test this hypothesis, we, for this moment, engineer the following discrete systematic strategy:

  • Strategy A (Pure Spread Momentum): The signal is generated from the spread’s own price history. We calculate momentum MOM(S as the X-month rate of change (ROC) of the cumulative spread value, for lookback periods X ∈ {6, 12, 24, 36} months.

Empirical Results: Regime-Dependent Performance of Systematic Spread Strategies

Spread Momentum Strategy (Strategy A)

The performance of the pure momentum strategy on the EFA-SPY spread, as defined by the rule:

equation

is evaluated across lookback windows X ∈ {6, 12, 24, 36} months.

Now, let us first just evaluate legs of the strategy for sub-rules; a) only long EFA and simultaneously short SPY if and only if the momentum variable (ROC, in this case) is positive:

Figure 2: Visual representation in the form of equity curves of +S performance with positive momentum rule only, for all four lookback windows

Descriptive Statistics (Sample: 1970-2025). Presents annualized mean return, volatility, maximum drawdown, and Sharpe and Calmar ratios.

Table 1: Standard performance and risk metrics reported for the strategy performed, depicted in Figure 2

And following, we take a closer look at the performance of the other sub-rule; b) shorting the spread -S with an inverted rule; so, we fulfill it as long as the momentum is negative:

Figure 3: Visual representation in the form of equity curves of –S performance with the negative momentum rule only, for all four lookback windows

Table 2: Standard performance and risk metrics reported for the strategy performed, depicted in Figure 2

And, this is the performance of both sub-rules, a) and b), in one convoluted strategy, as introduced at the beginning of this sub-chapter:

Figure 4: Cumulative equity curves for Strategy A across momentum windows (6, 12, 24, 36 months), 1970-2025.

Table 3: Performance Statistics for Strategy A (Fig. 4): Annualized Return, Volatility, Maximum Drawdown, Sharpe, and Calmar Ratios for all momentum windows.

Discussion of Momentum Results: Empirical Analysis of Time-Series Momentum in Equity Spreads

The empirical evidence robustly supports H. The strategy exhibits strong, regime-dependent efficacy. The pre-1990 period is characterized by higher volatility and pronounced multi-year trends in the EFA-SPY spread, which are effectively captured by momentum signals. Post-1990, the dominant regime has been a persistent negative momentum (i.e., long SPY/short EFA). Intermediate lookback periods (12-24 months) yield the optimal balance between signal responsiveness and noise reduction. Shorter windows (6 months) generate excessive turnover and are susceptible to whipsaws, while longer windows (36 months) exhibit significant lag in regime transitions and miss early inflection points. The strategy’s alpha is largely generated by its ability to remain positioned long US/short ex-US during the secular bull market in US equities, while occasionally capturing the sharp but transient reversals characteristic of the 1970s and 1980s.

Sensitivity Analysis and Robustness Test: Alternate Momentum Strategy (Strategy B)

As a validation and further extension of previous results, we used a simple moving average (SMA) to yield a quantifiable measure of the spread’s behavior and to provide regime conditioning: the direction and magnitude of the spread’s S underlying trend are defined by its position relative to a long-term moving average.

The same battery of results will be provided for the alternate measure of momentum, now decided by the SMA (simple moving average) variable. Both rules are the same as in the main Strategy A, but here, as a decision factor, we use a simple moving average.

Strategy B (Trend-Conditioned Spread): The signal is also generated from purely historical performance of the spread, as the current performance relative to its X-month Simple Moving Average (SMA), where X ∈ {3, 6, 12, 24, 36} months decides the traded position of +S or -S.

The performance of the alternative conditional strategy is governed by a simple moving average (SMA) as follows:

equation
 

where is evaluated for X ∈ {3, 6, 12, 24, 36} months.

Now, for the first rule, long (buying) spread performance in the case of the actual (monthly) price of the spread is at least the same (larger or equal) as the simple moving average of an arbitrarily chosen lookback window.

Figure 5: Visual representation in the form of equity curves of +S performance with positive alternate momentum rule only, for all five lookback windows

Table 4: Standard performance and risk metrics reported for the strategy performed, depicted in Figure 5

Following, we use shorting the spread -S when the current month’s value is under the simple moving average of a defined lookback period:

Figure 6: Visual representation in the form of equity curves of –S performance with the negative alternate momentum rule only, for all five lookback windows

Table 5: Standard performance and risk metrics reported for the strategy performed, depicted in Figure 6

Same as in the last case, for the alternate strategy, we also couple both standalone legs to always decide on one outcome, and get a complete view of how the spread collectively performs with a simple moving average under both classifications:

Figure 7: Cumulative equity curves for Strategy B across SMA windows (3, 6, 12, 24, 36 months), 1970-2025.

Table 6: Performance Statistics for Strategy B (Fig. 7): Annualized Return, Volatility, Maximum Drawdown, Sharpe, and Calmar Ratios for each USD SMA window.

Discussion of Trend-Conditioned Results: Robustness Analysis for Performance of a Trend-Regime Filter

The empirical results also provide conditional validation of the posited hypothesis H. The strategy exhibits pronounced episodic performance characteristics, driven by the asymmetric efficacy of its conditional legs. The short EFA/long SPY leg, activated by a negative signal from the conditioning variable, generated significant alpha almost exclusively during two discrete periods: a sustained flat performance in the conditioning variable from 2003 to 2008 and a briefer downtrend episode in the late 1980s. Excluding these epochs, the strategy’s signal was predominantly oriented toward this, long US/short ex-US leg. This dominant leg has been the primary contributor to aggregate strategy returns, particularly since the mid-1990s—a period coinciding with a protracted secular appreciation in the conditioning series.

Consistent with the momentum-based strategy, the most robust risk-adjusted performance is associated with intermediate-to-long trend identification windows (12–36 months). These horizons appear optimally calibrated to attenuate high-frequency noise inherent in the conditioning series, thereby isolating more persistent and economically meaningful regime shifts. The strategy’s attenuated performance in the recent sample period suggests a potential decoupling or structural breakdown in the historical relationship between the conditioning variable and the equity spread’s relative performance.

Concluding Summary and Implications

This study constructs and validates a parsimonious, fully systematic framework for dynamic allocation between US and EAFE equities. By extending the analysis to a 56-year sample, we demonstrate that the profitability of both spread momentum and trend-regime conditioning is non-stationary but economically significant over complete financial cycles.

The key empirical implication is that a dynamic long-short overlay, conditional on intermediate-horizon momentum or trend signals, yields a significant positive payoff that is largely orthogonal to static equity-market betas. The optimal implementation appears to be a signal approach that is either a binary confirmation of the momentum trend direction (12-24 months) on the spread itself, or an intermediate-term simple moving average filter (12-36 months SMA). Challenge is to mitigate whipsaws during choppy, trend-less periods while maintaining exposure to major secular moves.

Future research might focus on: 1) Integrating a volatility-adjustment mechanism to scale exposure during high-stress periods, 2) Developing a coherent, backtestable proxy for Emerging Markets to extend the framework, and 3) Decomposing the signals’ alpha into currency, multiple expansion, and earnings growth components to refine the underlying economic hypothesis.

In conclusion, the evidence presented strongly suggests that the relative performance of US versus international equities is predictable within a regime-switching framework, providing a rigorous, systematic basis for active asset allocation in an increasingly multipolar financial world.

Author: Cyril Dujava, Quant Analyst, Quantpedia


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