October 2025 (revised August 2026)
Focus
We examine how tail risk in a country’s production affects the benefits of international consumption risk-sharing. Our analysis unfolds in three steps. First, we develop (approximate) analytical results linking welfare gains from risk-sharing to key economic factors like country size, trade elasticity and trade openness. We also take into account more detailed statistical aspects – like variability, imbalance and the shape – of production patterns that do not follow a normal distribution. This extends beyond the traditional mean-variance framework to study how these factors influence welfare distribution across countries. Second, we validate these findings using precise calculations based on broader assumptions. Finally, we apply the framework to 39 countries, each sharing risk with two large foreign blocks – advanced and emerging market economies – using 120 years of data that include rare disasters. To make sense of the results, we group countries with similar traits using statistical techniques, helping us to better understand the patterns.
Contribution
Our study makes several contributions to the literature. It provides the first analytical decomposition of international risk-sharing gains in a real business cycle model, linking higher-order cumulants (advanced statistical measures) to economic indicators like trade openness, trade elasticity and country size. By bridging asset pricing literature and international macroeconomics, our paper offers an analytical solution to better understand welfare gains. Furthermore, it distinguishes between the “level effect”, which reflects the implicit insurance premium paid by riskier countries, and the “smoothing effect”, which improves the statistical distribution of consumption and leisure. Departing from the traditional assumption of Gaussian shocks (ie those fully described by mean and variance), the model incorporates non-Gaussian distributions and is solved with global numerical methods. Calibration to long historical data for 39 economies and the application of statistical clustering provide insights into how economic features shape welfare outcomes.
Findings
Our analysis underscores the importance of accounting for cross-country differences in size, trade openness and the shape of production risk, including “fat tails” (rare but extreme outcomes). Without real-world differences in size and trade openness, gains from risk-sharing would be negligible – a median of 0.03% of permanent consumption. Calibrating the model to observed data raises the median gain to about 0.3% and the maximum to 3%. Fat tails matter most at the top: assuming Gaussian shocks leaves the median gain virtually unchanged but substantially understates the gains of the most tail-exposed economies. Safer countries benefit from asset appreciation (level effect), while riskier ones pay an implicit premium to reduce consumption risk (smoothing effect). Finally, the statistical clustering of countries aligns closely with model-derived welfare gains, validating the robustness of the approach.
Abstract
We study international risk sharing across countries differing in size, openness, and productivity distributions, emphasizing fat tails. In a canonical IRBC model, safer economies benefit through asset and terms-of-trade revaluations, while riskier ones smooth consumption at the cost of lower wealth. Calibrated to non-Gaussian shocks, country size and openness, the model predicts welfare gains between 0.09% and 3.0% of permanent consumption (median 0.34%). Assuming Gaussian shocks leaves the median gains virtually unchanged but reduces them for the most tail-exposed economies. In contrast, imposing equal country size and eliminating home bias sharply compresses the distribution of gains and lowers their overall magnitude. Clustering economies by openness, size, and higher moments aligns well with the cross-country distribution of gains.
JEL classification: F15, F41, G15
Keywords: asymmetries in risk, openness, country size, tail risk, gains from risk sharing, consumption smoothing, terms of trade, wealth transfers
