Stochastic Dynamics of Ripple XRP for Cross-Border Settlement Optimization

Abstract: The feasibility of XRP as a liquidity medium in cross-border transactions is assessed in this paper using a thorough stochastic framework. We use simulations of settlement latency, regime-switching volatility, and jump-diffusion models. The models are calibrated using historical data from public exchanges and RippleNet corridors, and they assess FX dynamics, liquidity depth, and tail risks in real-world scenarios. The behavior of XRP differs significantly from the conventional GBM assumptions, according to the results, and stochastic volatility with regime awareness provides a reliable path to corridor optimization. Our empirical validation shows that adding volatility feedback and routing adjustments significantly increases remittance success rates.