Cross-Sectional and Dollar Components of Currency Risk Premia

Currency strategies often appear simple on the surface – go long high-yielding currencies, short low-yielding ones, or take a position on the U.S. dollar. But these trades actually mix two distinct components: a Dollar component, which bets on broad movements of the U.S. dollar against all others, and a Cross-Sectional (CS) component, which exploits relative differences across countries. The question is, which of these components really drives currency risk premia? A new paper by Vahid Rostamkhani tackles this long-standing question by decomposing the predictive power of eleven macroeconomic fundamentals—such as interest rates, inflation, unemployment, and fiscal variables—into these two components across almost a century of data (1926-2023). This approach directly tests whether it is more rewarding to time the dollar itself or to focus on cross-country fundamental spreads.

For practitioners running currency carry, value, or macro-fundamental strategies, this distinction is critical. A strategy dominated by the Dollar component is effectively a bet on the global financial cycle and the dollar’s safe-haven status—exposed to regime shifts in U.S. monetary policy and risk-off episodes. In contrast, CS-driven strategies isolate relative country risk premia and may offer better diversification. Rostamkhani’s results show that cross-sectional predictability is consistently stronger, delivering higher and more robust risk-adjusted returns (Sharpe ratios) than strategies that attempt to time the broad dollar.

To handle the “factor zoo” of 22 Dollar and CS signals, the paper applies a Bayesian Model-Averaged Stochastic Discount Factor (BMA-SDF) framework. The analysis finds that currency pricing is dense, not sparse: no single macro factor dominates, but many provide noisy pieces of valuable information about underlying risks. By optimally aggregating them, the BMA-SDF achieves much better out-of-sample pricing power than traditional two-factor models. For portfolio managers, this suggests that instead of seeking a single perfect macro predictor, combining a broad set of relative-fundamental signals—and emphasizing the cross-sectional side—may capture more of the available currency risk premium.

Key Findings

  • The paper decomposes currency strategies into Dollar vs. Cross-Sectional (CS) components across 11 macro fundamentals over 1926-2023.

  • CS strategies consistently outperform Dollar strategies in both in-sample and out-of-sample Sharpe ratios (e.g., CS SR ≈ 0.88 vs 0.43 for short-term interest-rate differentials).

  • CS predictability is especially strong for interest-rate, inflation, current-account, and unemployment differentials and remains robust across sub-periods (pre-euro, post-Bretton Woods).

  • Currency pricing is “dense” – many fundamentals matter jointly; no single factor explains risk premia alone.

  • A Bayesian Model-Averaged SDF that aggregates all 22 factors achieves an implied Sharpe ratio of ~1.4, far exceeding the traditional two-factor Dollar + Carry model (~0.37).

  • Results highlight that diversified, cross-sectional fundamental signals provide a more stable source of currency risk premia than timing the U.S. dollar.

Authors: Vahid Rostamkhani

Title: Currency Risk Premia and (Many) Fundamentals Connected in the Long-run

Link: https://papers.ssrn.com/sol3/papers.cfm?abstract_id=5349012

Abstract:

I study the macroeconomic foundations of currency risk premia using a unique annual dataset spanning nearly a century (1926-2023). First, for a broad set of macroeconomic fundamentals, I decompose the predictability of currency excess returns into two channels: a cross-sectional (CS) component that exploits relative differences across countries, and a Dollar component that times aggregate movements against the U.S. dollar. I find that strategies based on CS predictability generally yield higher and more robust risk-adjusted returns, both in-sample and out-of-sample. Second, to handle the resulting factor zoo of 22 CS and Dollar factor proxies, I employ a robust Bayesian asset pricing framework. I find that the currency Stochastic Discount Factor (SDF) is dense; no single factor dominates, but rather many fundamentals contribute noisy information about a smaller set of latent risks. Finally, I show that a Bayesian Model Averaged (BMA) SDF, which optimally aggregates information across all factors, achieves out-of-sample pricing performance compared to more parsimonious benchmark models.

As always, we present several interesting figures and tables:


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