Perfectly Fitting CDO Prices Across Tranches: A Theoretical Framework with Efficient Algorithms

Battle Count: 82

Highly relevant for credit derivatives trading desks, structured products desks, and risk management teams. Provides model-independent hedging strategies, arbitrage-free pricing bounds for nonstandard CDO tranches, and consistent loss distribution estimation. Directly applicable to correlation trading, CDO portfolio management, and pricing exotic credit derivatives. The LP-based approach eliminates computationally expensive Monte Carlo calibration.

Moderate to high complexity. Requires solving LP/LFP problems (tractable with standard solvers like CVXPY), constructing gamma-distorted copulas from discrete generators, implementing iterative algorithms with convergence checks, and handling bid-ask compatibility extensions. The theoretical framework is elegant but implementation requires careful attention to numerical precision, especially for the iterative strong compatibility verification across tranches.

Code and data are uploaded as a separate zip file. LP problems solved using CVXPY in Python. Market data (iTraxx Markit Europe S42) is publicly available. Algorithms are clearly specified with step-by-step procedures. However, the theoretical framework requires careful implementation of gamma-distorted copulas and iterative LP verification.