Beschreibung
InhaltsangabeMethods.- Static Monte Carlo.- Dynamic Monte Carlo.- Dynamic Programming for Stochastic Optimization.- Finite Difference Methods.- Numerical Solution of Linear Systems.- Quadrature Methods.- The Laplace Transform.- Structuring Dependence using Copula Functions.- Problems.- Portfolio Selection: "Optimizing" an Error.- Alpha, Beta and Beyond.- Automatic Trading: Winning or Losing in a kBit.- Estimating the Risk-Neutral Density.- An "American" Monte Carlo.- Fixing Volatile Volatility.- An Average Problem.- Quasi-Monte Carlo: An Asian Bet.- Lookback Options: A Discrete Problem.- Electrifying the Price of Power.- A Sparkling Option.- Swinging on a Tree.- Floating Mortgages.- Basket Default Swaps.- Scenario Simulation Using Principal Components.- Parametric Estimation of Jump-Diffusions.- Nonparametric Estimation of Jump-Diffusions.- A Smiling GARCH.
Inhalt
Contents: Part I: Methods. Finite Difference Methods; Numerical Solution of Linear Systems; Basic Monte Carlo; Advanced Monte Carlo; Quadrature Methods; Laplace Transforms; Structuring Dependence using Copula Functions; Dynamic Programming - Part II: Cases. Portfolio Selection: "Optimizing an Error"; Alpha, Beta, and Beyond; Automatic Trading: Winning or Losing in a kBit; Estimating the Risk Neutral Density; An "American" Monte Carlo; Fixing Volatile Volatility; An Average Problem; Quasi Monte Carlo; Lookback Options: A Discrete Problem; Electrifying the Price of Power; A Sparkling Option; Swinging on a Tree; Floating-Rate Mortgages; Basket Default Swaps; Scenario Simulation using Principal Components; Parametric estimation of Jump-Diffusions; Nonparametric Estimation of Jump-Diffusions; A Smiling GARCH. Appendices. Companion CD. .
