Title:Implementing Models in Quantitative Finance: Methods and Cases
Authors:Gianluca Fusai & Andrea Roncoroni
Edition:1 edition (January 2008)
Format:High Quality pdf Non-scanned Version
Pages:619 pages
Publisher:Springer
Table of Contents
1 Static Monte Carlo
2 Dynamic Monte Carlo
3 Dynamic Programming for Stochastic Optimization
4 Finite Difference Methods
5 Numerical Solution of Linear Systems
6 Quadrature Methods
7 The Laplace Transform
8 Structuring Dependence using Copula Functions
9 Portfolio Selection: “Optimizing” an Error
10 Alpha, Beta and Beyond
11 Automatic Trading:Winning or Losing in a kBit
12 Estimating the Risk-Neutral Density
13 An "American" Monte Carlo
14 Fixing Volatile Volatility
15 An Average Problem
16 Quasi-Monte Carlo: An Asian Bet
17 Lookback Options: A Discrete Problem
18 Electrifying the Price of Power
19 A Sparkling Option
20 Swinging on a Tree
21 Floating Mortgages
22 Basket Default Swaps
23 Scenario Simulation Using Principal Components
24 Parametric Estimation of Jump-Diffusions
25 Nonparametric Estimation of Jump-Diffusions
26 A Smiling GARCH
A Appendix: Proof of the Thinning Algorithm
B Appendix: Sample Problems for Monte Carlo
C Appendix: The Matlab Solver
D Appendix: Optimal Control
D.1 Setting up the Optimal Stopping Problem
D.2 Proof of the Bellman Principle of Optimality
D.3 Proof of the Dynamic Programming Algorithm
Bibliography
Index
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