Berms without Calibration

Battle Count: 54

Highly relevant for interest rate derivatives desks and quantitative risk teams dealing with Bermudan swaptions and callable swaps. The model's elimination of product-specific calibration is valuable for trading desks managing large portfolios of exotics. However, it is primarily a pricing/valuation tool rather than a trading signal generator. The correlation-based approach offers improved hedging capabilities by incorporating IR correlation products into hedging portfolios. Most relevant for fixed income derivatives trading, not equities or FX quant trading.

High complexity due to: (1) multiple measure changes between annuity measures, (2) copula integration for joint distributions, (3) backward induction through multiple exercise dates, (4) Hagan lattice implementation with nested expectations, (5) moment matching for maximum of correlated Gaussians, (6) SABR calibration for volatility surfaces, (7) handling of convexity adjustments for stochastic annuity ratios. The theoretical framework requires deep understanding of martingale theory, numeraire changes, and interest rate modeling. Numerical implementation requires careful handling of multi-dimensional integrals and lattice construction.

The paper provides complete analytical formulas (Theorems 1-8) and specifies numerical methods (Simpson's rule, Hagan lattice steps, moment matching). However, the numerical experiments use proprietary market data (European swaption market, close of business 30 June 2025) that is not publicly available. The SABR calibration procedure and specific correlation parameters (89% for Canary, 88%-99% linear term structure for Bermudan) are stated but the underlying market data is not provided. No code or repository is referenced. The theoretical framework is fully reproducible given appropriate market data.