4000 Derivatives and internal models : modern risk management

1. Introduction -- 2. Fundamental Risk Factors of Financial Markets -- 3. Financial Instruments: A System of Derivatives and Underlyings -- 4. Overview of the Assumptions -- 5. Present Value Methods, Yields and Traditional Risk Measures -- 6. Arbitrage -- 7. The Black-Scholes Differential Equation -- 8. Integral Forms and Analytic Solutions in the Black-Scholes World -- 9. Binomial and Trinomial Trees -- 10. Numerical Solutions Using Finite Differences -- 11. Monte Carlo Simulations -- 12. Hedging -- 13. Martingales and Numeraires -- 14. Interest Rates and Term Structure Models -- 15. Simple Interest Rate Products -- 16. FX Derivatives -- 17. Variants of Fixed Income Instruments -- 18. Plain Vanilla Options -- 19. Exotic Options -- 20. Credit Risk -- 21. Fundamentals -- 22. The Variance-Covariance Method -- 23. Simulation Methods -- 24. Example of a VaR Computation -- 25. Backtesting: Checking the Applied Methods -- 26. Classical Portfolio Management -- 27. Attributes and their Characteristic Portfolios -- 28. Active Management and Benchmarking -- 29. Construction of the Yield Curve Universe -- 30. Volatility -- 31. Market Parameter from Historical Time Series -- 32. Time Series Modeling -- 33. Forecasting with Time Series Models -- 34. Principal Component Analysis -- 35. Pre-Treatment of Time Series and Assessment of Models