Two-Factor Hull-White Model Revisited: Correlation Structure for Two-Factor Interest Rate Model in CVA Calculation

Battle Count: 71

The paper is primarily relevant to derivatives pricing, risk management, and counterparty credit risk rather than direct quantitative trading strategies. However, understanding yield curve correlation structure is important for interest rate trading desks, spread option market making, and portfolio hedging. The findings on when the two-factor Hull-White model can/cannot capture de-correlation are practically relevant for traders and risk managers dealing with interest rate derivatives.

The analytical formulas for swap rate covariance and correlation are explicitly provided and can be implemented directly. Monte Carlo simulation of the two-factor Hull-White model is standard but requires careful implementation of the Markov functional framework. The three-region classification requires computing B_i(t,T) functions and variance ratios. Overall moderate complexity for a quantitative developer familiar with interest rate models.

The paper provides specific parameter values (sqrt(Xi1)=0.02, sqrt(Xi2)=0.3*sqrt(Xi1), NbPaths=1000) and detailed analytical formulas. However, no code or data repository is provided. The Monte Carlo simulations use only 1000 paths, which may limit precision. The analytical framework is fully specified and reproducible for a knowledgeable practitioner.