Derivatives algorithms : Volume 1: Bones

1. Introduction -- 2. Principles. 2.1. Our code. 2.2. Functional programming. 2.3. Type and state. 2.4. Physical code structure. 2.5. Platform. 2.6. Some design patterns. 2.7. Optimization. 2.8. Threads -- 3. Types and interfaces. 3.1. The user base. 3.2. A public example. 3.3. Interface generation. 3.4. Interface types. 3.5. Interface code. 3.6. Other containers. 3.7. Environment. 3.8. Enumerated types -- 4. Vector and matrix computations. 4.1. Customizing vectors. 4.2. Algorithms. 4.3. Matrices and square matrices. 4.4. Matrix multiplication. 4.5. Decompositions (square). 4.6. Decompositions (symmetric). 4.7. Decompositions (sparse). 4.8. Decompositions (other) -- 5. Persistence and memory. 5.1. Storage. 5.2. Extraction. 5.3. Rebuilding. 5.4. Code generation. 5.5. A display interface. 5.6. Auditing. 5.7. More on repositories -- 6. Testing framework. 6.1. Component tests. 6.2. Regression tests. 6.3. No silver bullet -- 7. Further maths. 7.1. Interpolation. 7.2. Special functions. 7.3. Root solvers. 7.4. Underdetermined search. 7.5. Quadrature. 7.6. Distributions. 7.7. Baskets. 7.8. Random and quasi-random numbers. 7.9. PDE solvers. 7.10. American Monte Carlo -- 8. Schedules. 8.1. Enumerated switches. 8.2. Holidays. 8.3. Currencies. 8.4. Increments. 8.5. Legs -- 9. Indices. 9.1. Naming and parsing. 9.2. Fixings. 9.3. Sorting and hashing.9.4. Implied vol -- 10. Pricing protocols. 10.1. Past and future. 10.2. Underlyings. 10.3. Payments and streams. 10.4. Index paths. 10.5. Defaults and contingent payments. 10.6. Requests and promises. 10.7. Bemudans and barriers. 10.8. Payouts. 10.9. Steps. 10.10. Use case review : PDE. 10.11. Use case review : Monte Carlo and hedge. 10.12. Costs and benefits. 10.13. Assembling the class hierarchy -- 11. Standardized trades. 11.1. Trade classes. 11.2. Cash. 11.3. Equity and FX. 11.4. Legs and swaps. 11.5. Caps. 11.6. Swaps and swaptions. 11.7. Bermudans. 11.8. Composites -- 12. Curves. 12.1. Risk. 12.2. Libor and funding. 12.3. Build instruments. 12.4. Dividend. 12.5. Hazard -- 13. Models. 13.1. Vasicek-Hull-White. 13.2. Interface to numerical pricing. 13.3. Interface to valuation requests. 13.4. Cox-Ingersoll-Ross. 13.5. Black-Karasinski. 13.6. Single equity with local vol. 13.7. A simple hybrid model -- 14. Semianalytic pricers. 14.1. A moment-matching pricer. 14.2. Multimethod objects. 14.3. Method registry. 14.4. Interaction with re-evaluator. 14.5. Interaction with composites. 14.6. Pure pricers. 14.7. Trade-dependent calibration -- 15. Risk. 15.1. Slides and bumps. 15.2. Mutants. 15.3. Reports. 15.4. Portfolios. 15.5. Tasks. 15.6. Slide utilities. 15.7. Conclusions -- 16. Additional code. 16.1. Add multiple. 16.2. Arrayfunctor. 16.3. Boolean. 16.4. Composite. 16.5. Cube. 16.6. Handle. 16.7. Matrix. 16.8. Maybe. 16.9. PWC (piecewise constant). 16.10. Vector -- 16. Acknowledgements and further reading.