Derivatives and Internal Models

This book provides a thorough introduction to pricing and risk management of modern financial instruments formulated in precise mathematical language, covering all relevant topics with such a depth of detail that readers are enabled to literally develop their own pricing and risk tools. Accompanying website with hundreds of real world examples.

PART I: FUNDAMENTALS Introduction Fundamental Risk Factors of Financial Markets Financial Instruments: A System of Derivatives and Underlyings PART II: METHODS Overview of the Assumptions Present Value Methods, Yields and Traditional Risk Measures Arbitrage The Black-Scholes Differential Equation Integral Forms and Analytic Solutions in the Black-Scholes World Numerical Solutions Using Finite Differences Binomial and Trinomial Trees Monte-Carlo Simulations Hedging Martingales and Numeraires Interest Rates and Term Structure Models PART III: INSTRUMENTS Spot Transactions on Interest Instruments Forward Transactions on Interest Rates Plain Vanilla Options Exotic Options PART IV: RISK Fundamentals The Variance-Covariance Method Simulation Methods Interest Rate Risk and Cash Flows Example VaR-Computation Backtesting: Checking the Applied Methods PART V: Portfolios Classical Portfolio Management Attributes and their Characteristic Portfolios Active Management and Benchmarking PART VI: MARKET DATA Interest Rate Term Structures Volatility Market Parameter from Historical Time Series Time Series Modelling Forecasting with Time Series Models Principle Component Analysis Pre-Treatment of Time Series and Assesment of Models Probabiltiy and Statistics