The article examines the relationships between purchasing power parity (PPP) and uncovered interest parity (UIP) using stable law econometrics. The researchers find that financial variables like exchange rate returns and interest rate movements may have infinite variance. They discover that a stable non-Gaussian model is more suitable for analyzing these variables. The study shows that weak-form PPP with stable errors is supported, but strict PPP is not. Additionally, long-run UIP relationship with the United States is strongly supported under the assumption of stable errors.