Investment Research Series
Empirical Research

A Second Opinion for the Portfolio

How a New Forecasting Model Changes Cross-Asset Allocation Decisions
Sungkyu LeeGraduate School of Computing, Yonsei UniversityPublic Working PaperSSRN 7460378September 2026

Overview

Forecasting models are usually compared by prediction error. A portfolio, however, holds positions rather than forecasts. This study asks whether a new model can improve a cross-asset allocation process even when it does not win the average point-forecast error contest.

Chronos-2 is introduced into a matched Forecast-to-Rank Allocation (F2R) research design. The asset universe, Top-4 portfolio rule, execution clock, transaction-cost treatment, and portfolio accounting remain fixed while model composition and the forecast-integration interface are examined. The emphasis is on changed portfolio decisions and their consequences, not forecasting accuracy in isolation.

Research Question

When a new forecasting model does not minimize point-forecast error, can it still improve a cross-asset allocation process by changing economically relevant portfolio decisions, and how does the forecast-integration interface affect that value?

Key Findings

Chronos-2 has a higher point-forecast RMSE (0.0570) than the conventional models (about 0.0550–0.0553), yet its standalone Top-4 portfolio reaches a 15.49% CAGR and 0.962 Sharpe ratio versus about 14.92% and 0.891 for the incumbent ensemble.
A three-model conventional hybrid with a 20% Chronos-2 model-combination contribution reaches 17.13% CAGR and 0.987 Sharpe with lower cumulative turnover. The 20% figure is a historical research configuration, not a disclosed live-production setting.
Holding the component models and 80/20 model-combination weights fixed, rank-based integration exceeds standardized-forecast integration by 2.53 percentage points of CAGR and 0.163 Sharpe with nearly identical turnover.
The selected hybrid differs from the incumbent Top-4 in 58 of 112 monthly decisions. Changed-decision months explain 99.4% of the relative log-wealth gap as an accounting transmission diagnostic, not as an independent causal estimate.

Decision Evidence

The central result is not that Chronos-2 forecasts better on average. It does not. The portfolio evidence instead shows that a different model can change the cross-sectional ordering at decision boundaries in ways that matter for the realized allocation path.

17.13%
Selected hybrid CAGR
0.987
Selected hybrid Sharpe
58 / 112
Changed Top-4 months vs. incumbent
+2.53pp
Rank vs. standardized integration CAGR difference
Matched Historical Portfolio Results

Net historical portfolio evidence under the common F2R portfolio, execution, and cost framework.

ConfigurationCAGRSharpeInterpretation
Incumbent four-model ensemble14.92%0.891Conventional reference
Chronos-2 standalone15.49%0.962Different forecast model, same portfolio interface
Three-model + Chronos-2 hybrid17.13%0.987Selected historical research configuration
Public working paper and replication evidence
Historical research configuration, not a live-production disclosure. The paper's 20% Chronos-2 contribution refers to a model-combination setting examined in the historical research program. It is not a portfolio allocation weight and should not be read as the current protected F2R production recipe.
The selected hybrid changes the incumbent Top-4 in 58 of 112 signal months. Changed-decision months account for 99.4% of the relative log-wealth gap as an accounting transmission diagnostic. That identity is useful for locating where portfolio divergence enters, but it is not an independent causal estimate of the value of Chronos-2.
Selected Exhibits

Three paper-aligned figures summarize the forecasting-versus-portfolio distinction, the ensemble ablation, and the changed decisions that account for the relative wealth gap. Click any figure to inspect the full-resolution publication-aligned image.

Scatter plot comparing point-forecast RMSE with standalone portfolio Sharpe ratios for Ridge, Elastic Net, Random Forest, XGBoost, and Chronos-2.
Public working paper · Figure 1

Forecast Accuracy and Portfolio Value Can Disagree

Chronos-2 has worse point-forecast RMSE than the conventional models, yet its standalone Top-4 portfolio records the strongest Sharpe ratio among the standalone models. The exhibit motivates evaluating model adoption at the decision layer rather than by forecast error alone.

Open full-size figure ↗
Horizontal bar chart showing historical CAGR differences for Random Forest removal, Chronos-2 addition, Chronos-2 addition after Random Forest removal, and the selected hybrid versus the incumbent ensemble.
Public working paper · Figure 2

Chronos-2 Value Depends on Ensemble Context

Removing Random Forest by itself adds only 0.09 percentage points of CAGR. Adding a 20% Chronos-2 model-combination contribution to the incumbent adds 0.61 points, while adding it after Random Forest removal adds 2.12 points; the selected hybrid is 2.21 points above the incumbent. These are descriptive historical contrasts, not causal estimates.

Open full-size figure ↗
Horizontal bar chart of the largest positive and negative monthly contributions from changed Top-4 asset decisions to hybrid-versus-incumbent relative wealth.
Public working paper · Figure 4

Boundary Decisions Explain Where the Portfolio Paths Diverge

The largest positive and negative changed-decision months show how Top-4 substitutions transmit into the hybrid-versus-incumbent relative wealth path. The attribution is an accounting diagnostic of where divergence enters, not an independent causal estimate of model value.

Open full-size figure ↗

Research Design

The exercise uses 112 monthly historical signal dates from March 2017 through June 2026 across 11 U.S.-listed ETFs. Forecasts are translated into relative ranks, the Top-4 are selected, and each selected asset receives a 25% target weight in the historical research portfolio. The reported performance path begins May 1, 2017 and extends through August 3, 2026 to complete the final holding interval.

112
Monthly historical signal dates
11
U.S.-listed ETFs in the cross-asset universe
Top-4
Equal-target portfolio decision rule
v1.1
Public replication release

For the matched rank-versus-standardized comparison, the frozen forecasts, three conventional models, Chronos-2 contribution, 80/20 model-combination weights, Top-4 rule, execution clock, and transaction costs are held fixed. Only the forecast-integration interface changes.

Interpretation Boundary

This is a retrospective technology counterfactual, not a 2017–2026 real-time track record. Chronos-2 did not exist throughout the evaluation period, its pretraining corpus is not audited here for temporal overlap, and the main hybrid was developed within the same historical research program rather than on an untouched holdout.

The conventional models and Chronos-2 use the same F2R-side price-data domain available at each historical signal date and the same portfolio implementation framework, but they are not informationally identical: Chronos-2 brings prior information from pretraining. The empirical contrasts should be read as model-adoption evidence under a controlled portfolio interface, not as a causal estimate or a claim of historical live deployment.

Quantitative Methods

Methods used in this research

These companion articles explain methods used directly in the study or needed to interpret its design and evidence.

QM001 · Forecast Evaluation · Foundation

Out-of-Sample Forecast Evaluation

Explains the information boundary behind the paper's repeated pseudo-out-of-sample evaluation.

QM003 · Data & Research Design · Foundation

Look-Ahead Bias and Data Leakage

Explains how timing, data construction, and model-development choices can let future information enter a historical forecasting exercise.

QM007 · Portfolio Methods · Foundation

Portfolio Backtesting and Rebalancing

Explains the portfolio accounting, weight drift, monthly rebalancing, turnover conventions, and next-period timing needed to interpret the portfolio paths used in this research.

QM009 · Portfolio Methods · Intermediate

Turnover, Transaction Costs, and Net Performance

Explains drift-aware turnover, transaction-cost conventions, and the mapping from before-cost portfolio performance to performance net of modeled transaction costs.

QM011 · Portfolio Methods · Intermediate

Strategy Similarity and Decision Diversification

Explains how return similarity differs from similarity in what strategies hold, when they change, and how strongly they change risk exposure.

QM019 · Machine Learning · Intermediate

Regularized Linear Models: Ridge, Lasso, and Elastic Net

Explains Ridge, Lasso, and Elastic Net with explicit scaling, penalty, correlated-predictor, and leakage-aware tuning conventions for predictive modeling.

QM020 · Machine Learning · Advanced

Time-Series Model Selection and Hyperparameter Tuning

Explains chronological model selection and hyperparameter tuning for time-ordered data, including nested evaluation, gap design, target maturity, and leakage control.

QM027 · Portfolio Methods · Intermediate

Cross-Sectional Ranking, Top-K Selection, and Hold Buffers

Explains the translation from cross-sectional scores to ranks and portfolio selections, including normalized rank strength, Top-K entry, incumbent hold buffers, turnover trade-offs, and path dependence.

QM024 · Machine Learning · Intermediate

Forecast Combination and Model Averaging

Explains forecast combination and model averaging, including weighting uncertainty, scale compatibility, rank aggregation, and leakage-aware ensemble evaluation.

QM025 · AI Foundation Models · Advanced

Pretrained Time-Series Foundation Models

Explains pretrained time-series forecasting models by separating inference-time data, pretraining knowledge, zero-shot use, covariate timing, and fair historical evaluation claims.

Browse the Quantitative Methods library →

Reproducibility

The public replication package starts from frozen derived research evidence. It reproduces the paper-level figures and principal numerical checks without rerunning Chronos-2 inference, refitting the conventional forecasting models from raw market data, or exposing live F2R production configuration.

Research Lineage

This paper follows an earlier F2R study that asks a different question: whether historical-vintage macro information adds decision value beyond price information. The present study fixes the portfolio-side price information domain and moves the research question to model adoption and forecast integration.

Citation

Lee, S. (2026). A Second Opinion for the Portfolio: How a New Forecasting Model Changes Cross-Asset Allocation Decisions. Public Working Paper. SSRN 7460378.