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Implementing Models in Quantitative Finance: Methods and Cases / by Gianluca Fusai, Andrea Roncoroni
(Springer Finance. ISSN:21950687)

Edition 1st ed. 2008.
Publisher (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year 2008
Language English
Size XXIII, 607 p : online resource
Authors *Fusai, Gianluca author
Roncoroni, Andrea author
SpringerLink (Online service)
Subjects LCSH:Finance, Public
LCSH:Social sciences -- Mathematics  All Subject Search
LCSH:Mathematics -- Data processing  All Subject Search
LCSH:Differential equations
LCSH:Numerical analysis
FREE:Public Economics
FREE:Mathematics in Business, Economics and Finance
FREE:Computational Mathematics and Numerical Analysis
FREE:Differential Equations
FREE:Numerical Analysis
Notes Methods -- 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
This book puts numerical methods into action for the purpose of solving concrete problems arising in quantitative finance. Part one develops a comprehensive toolkit including Monte Carlo simulation, numerical schemes for partial differential equations, stochastic optimization in discrete time, copula functions, transform-based methods and quadrature techniques. The content originates from class notes written for courses on numerical methods for finance and exotic derivative pricing held by the authors at Bocconi University since the year 2000. Part two proposes eighteen self-contained cases covering model simulation, derivative valuation, dynamic hedging, portfolio selection, risk management, statistical estimation and model calibration. It encompasses a wide variety of problems arising in markets for equity, interest rates, credit risk, energy and exotic derivatives. Each case introduces a problem, develops a detailed solution and illustrates empirical results. Proposed algorithmsare implemented using either Matlab® or Visual Basic for Applications® in collaboration with contributors
HTTP:URL=https://doi.org/10.1007/978-3-540-49959-6
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Classification LCC:HJ9-9940
DC23:336
ID 4000116954
ISBN 9783540499596

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