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Mathematics - Quantitative Finance | Computational Methods for Quantitative Finance - Finite Element Methods for Derivative Pricing

Computational Methods for Quantitative Finance

Finite Element Methods for Derivative Pricing

Hilber, N., Reichmann, O., Schwab, C., Winter, C.

2013, XIII, 299 p. 57 illus., 48 illus. in color.

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  • Offers an accessible introduction to modern deterministic numerical methods of option pricing 
  • Presents methods for all standard European plain vanilla option as well as for widely used exotic derivative contracts, such as Barrier, American and multiperiod contracts
  • Includes a large section on methods for pricing derivatives on baskets, such as Lévy Copula models ​

Many mathematical assumptions on which classical derivative pricing methods are based have come under scrutiny in recent years. The present volume offers an introduction to deterministic algorithms for the fast and accurate pricing of derivative contracts in modern finance. This unified, non-Monte-Carlo computational pricing methodology is capable of handling rather general classes of stochastic market models with jumps, including, in particular, all currently used Lévy and stochastic volatility models. It allows us e.g. to quantify model risk in computed prices on plain vanilla, as well as on various types of exotic contracts. The algorithms are developed in classical Black-Scholes markets, and then extended to market models based on multiscale stochastic volatility, to Lévy, additive and certain classes of Feller processes. 

The volume is intended for graduate students and researchers, as well as for practitioners in the fields of quantitative finance and applied and computational mathematics with a solid background in mathematics, statistics or economics.​

Content Level » Professional/practitioner

Keywords » 60J75, 60J25, 60J35, 60J75, 65N06, 65K15, 65N12, 65N30 - computational finance - derivative pricing beyond Lévy - financial models with jumps - numerical analysis - stochastic volatility

Related subjects » Computational Science & Engineering - Probability Theory and Stochastic Processes - Quantitative Finance

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