Analytic Pricing of Bermudan Swaptions with Few Exercise Dates

Battle Count: 86

The paper is highly relevant to quantitative finance practitioners dealing with interest rate derivatives, particularly those pricing or hedging Bermudan swaptions. The analytic decomposition provides fast, transparent pricing without full PDE or Monte Carlo simulation, which is valuable for real-time risk management and trading desk calculations. However, it is not directly about trading strategies, signal generation, or market microstructure. Its primary value is in derivatives valuation and risk management rather than alpha generation or algorithmic execution.

The analytic formulas (Eq. 18, 27, 30) are explicit but involve Owen-T bivariate normal CDF functions, multiple exponential terms with damping factors, and numerical root-finding (Newton-Raphson) for boundary zeros. The backward induction structure for three or more exercise dates adds complexity. Implementation requires careful handling of the forward measure changes, variance accumulations, and the linear boundary decomposition. The core two-exercise case is tractable; the three-exercise case requires managing multiple nested integrals and their approximations.

The paper provides complete analytic formulas (Eq. 18, 27, 30, 32, 33) with all parameters specified. Numerical examples use concrete parameter values (K, r, sigma, k, T). However, no code or repository is provided. The Owen-T function implementation and Newton-Raphson solver for boundary zeros would need to be coded independently. The methodology is fully described mathematically, enabling reproduction by an experienced quantitative analyst.