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Quantifying the Risk-Return Tradeoff in Forecasting

Philippe Goulet Coulombe

arXiv 10 May 2026 · Econometrics

arXiv:2605.09712 · PDF · DOI · OpenAlex · Extracted main text

Abstract

Average forecast accuracy is not the same as forecast reliability. I treat forecast loss differentials relative to a benchmark as a return series. I then evaluate these returns using risk-adjusted performance measures from finance, including the Sharpe ratio, Sortino ratio, Omega ratio, and drawdown-based metrics. I also introduce the Edge Ratio capturing a model's propensity to deliver uniquely informative predictions relative to the forecasting frontier. I apply this framework to U.S. macroeconomic forecasting, comparing econometric benchmarks, machine learning models, a foundation model (TabPFN), and the Survey of Professional Forecasters. While it is often feasible to beat professional forecasters in terms of average accuracy, it is much harder to beat them on a risk-adjusted basis. They rarely exhibit catastrophic failures and often achieve high Edge Ratios, plausibly reflecting the value of contextual judgment. Nonetheless, selected machine learning methods deliver attractive risk profiles for specific targets. The framework naturally extends to meta-analyses across targets, horizons, and samples, illustrated with a density forecast evaluation and the M4 competition.

Citation extraction

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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Goulet Coulombe, P., Frenette, M., and Klieber, K (2026) From reactive to proactive volatility modeling with hemisphere neural networks0.8947371%
2Hollmann, N., Müller, S., Eggensperger, K., and Hutter, F (2022) TabPFN: A transformer that solves small tabular classification problems in a second0.73732100%
3Goulet Coulombe, P (2026) LGB+: A macroeconomic forecasting road test0.73732100%
4Alam, M. J., Boyle, S., Li, H., and Sekhposyan, T (2025) ChatMacro: Evaluating inflation forecasts of generative AI0.64422100%
5Chekhlov, A., Uryasev, S., and Zabarankin, M (2005) Drawdown measure in portfolio optimization0.64422100%
6Goulet Coulombe, P., Göbel, M., and Klieber, K (2025) Dual interpretation of machine learning forecasts0.64422100%
7Gneiting, T (2011) Making and evaluating point forecasts0.64422100%
8Keating, C. and Shadwick, W. F (2002) A universal performance measure0.64422100%
9Magdon-Ismail, M. and Atiya, A. F (2004) Maximum drawdown0.64422100%
10Makridakis, S., Spiliotis, E., and Assimakopoulos, V (2018) The M4 competition: Results, findings, conclusion and way forward0.64422100%

Showing the top 10 of 56 scored citations.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
10.5cm dpd LGB+: A Macroeconomic Forecasting Road Test . 0.25cm0.40511