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The Black-Scholes Model.

Master the essential mathematical tools required for option pricing within the context of a specific, yet fundamental, pricing model.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Capiński, Marek, 1951-
Otros Autores: Kopp, P. E., 1944-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2012.
Colección:Mastering mathematical finance.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 4 |a The Black-Scholes Model. 
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490 1 |a Mastering Mathematical Finance 
588 0 |a Print version record. 
520 |a Master the essential mathematical tools required for option pricing within the context of a specific, yet fundamental, pricing model. 
505 0 |a Cover; The Black-Scholes Model; Title; Copyright; Contents; Preface; 1 Introduction; 1.1 Asset dynamics; Model parameters; 1.2 Methods of option pricing; Risk-neutral probability approach; The PDE approach; 2 Strategies and risk-neutral probability; 2.1 Finding the risk-neutral probability; Removing the drift; Girsanov theorem -- simple version; 2.2 Self-financing strategies; 2.3 The No Arbitrage Principle; 2.4 Admissible strategies; 2.5 Proofs; 3 Option pricing and hedging; 3.1 Martingale representation theorem; 3.2 Completeness of the model; 3.3 Derivative pricing. 
505 8 |a General derivative securitiesPut options; Call options; 3.4 The Black-Scholes PDE; From Black-Scholes PDE to option price; The replicating strategy; 3.5 The Greeks; 3.6 Risk and return; 3.7 Proofs; 4 Extensions and applications; 4.1 Options on foreign currency; Dividend paying stock; 4.2 Structural model of credit risk; 4.3 Compound options; 4.4 American call options; 4.5 Variable coefficients; 4.6 Growth optimal portfolios; 5 Path-dependent options; 5.1 Barrier options; 5.2 Distribution of the maximum; 5.3 Pricing barrier and lookback options; Hedging; Lookback option; 5.4 Asian options. 
505 8 |a Continuous geometric averageDiscrete geometric average; 6 General models; 6.1 Two assets; The market; Strategies and risk-neutral probabilities; Two stocks, one Wiener process; One stock, two Wiener processes; 6.2 Many assets; 6.3 Ito formula; 6.4 Levy's Theorem; 6.5 Girsanov Theorem; 6.6 Applications; Index. 
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