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Multiscale Stochastic Volatility for Equity, Interest Rate, and Credit Derivatives.

The authors consolidate and extend ideas from their previous book. Ideal for practitioners and as a graduate-level textbook.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Fouque, Jean-Pierre
Otros Autores: Papanicolaou, George, Sircar, Ronnie, Sølna, Knut
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2011.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Fouque, Jean-Pierre. 
245 1 0 |a Multiscale Stochastic Volatility for Equity, Interest Rate, and Credit Derivatives. 
260 |a Cambridge :  |b Cambridge University Press,  |c 2011. 
300 |a 1 online resource (458 pages) 
336 |a text  |b txt  |2 rdacontent 
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505 0 |a Cover; MULTISCALE STOCHASTIC VOLATILITY FOR EQUITY, INTEREST RATE, AND CREDIT DERIVATIVES; Title; Copyright; To our families and students; Contents; Introduction; 1 The Black-Scholes Theory of Derivative Pricing; 1.1 Market Model; 1.2 Derivative Contracts; 1.3 Replicating Strategies; 1.4 Risk-Neutral Pricing; 1.5 Risk-Neutral Expectations and Partial Differential Equations; 1.6 American Options and Free Boundary Problems; 1.7 Path-Dependent Derivatives; 1.8 First-Passage Structural Approach to Default; 1.9 Multidimensional Stochastic Calculus; 1.10 Complete Market. 
505 8 |a 2 Introduction to Stochastic Volatility Models2.1 Implied Volatility Surface; 2.2 Local Volatility; 2.3 Stochastic Volatility Models; 2.4 Derivative Pricing; 2.5 General Results on Stochastic Volatility Models; 2.6 Summary and Conclusions; 3 Volatility Time Scales; 3.1 A Simple Picture of Fast and Slow Time Scales; 3.2 Ergodicity and Mean-Reversion; 3.3 Examples of Mean-Reverting Processes; 3.4 Time Scales in Synthetic Returns Data; 3.5 Time Scales in Market Data; 3.6 Multiscale Models; 4 First-Order Perturbation Theory; 4.1 Option Pricing under Multiscale Stochastic Volatility. 
505 8 |a 4.2 Formal Regular and Singular Perturbation Analysis4.3 Parameter Reduction; 4.4 First-Order Approximation: Summary and Discussion; 4.5 Accuracy of First-Order Approximation; 5 Implied Volatility Formulas and Calibration; 5.1 Approximate Call Prices and Implied Volatilities; 5.2 Calibration Procedure; 5.3 Illustration with S & P 500 Data; 5.4 Maturity Cycles; 5.5 Higher-Order Corrections; 6 Application to Exotic Derivatives; 6.1 European Binary Options; 6.2 Barrier Options; 6.3 Asian Options; 7 Application to American Derivatives; 7.1 American Options Valuation under Stochastic Volatility. 
505 8 |a 7.2 Stochastic Volatility Correction for American Put7.3 Parameter Reduction; 7.4 Summary; 8 Hedging Strategies; 8.1 Black-Scholes Delta Hedging; 8.2 The Strategy and its Cost; 8.3 Mean Self-Financing Hedging Strategy; 8.4 A Strategy with Frozen Parameters; 8.5 Strategies Based on Implied Volatilities; 8.6 Martingale Approach to Pricing; 8.7 Non-Markovian Models of Volatility; 9 Extensions; 9.1 Dividends and Varying Interest Rates; 9.2 Probabilistic Representation of the Approximate Prices; 9.3 Second-Order Correction from Fast Scale; 9.4 Second-Order Corrections from Slow and Fast Scales. 
505 8 |a 9.5 Periodic Day Effect9.6 Markovian Jump Volatility Models; 9.7 Multidimensional Models; 10 Around the Heston Model; 10.1 The Heston Model; 10.2 Approximations to the Heston Model; 10.3 A Fast Mean-Reverting Correction to the Heston Model; 10.4 Large Deviations and Short Maturity Asymptotics; 11 Other Applications; 11.1 Application to Variance Reduction in Monte Carlo Computations; 11.2 Portfolio Optimization under Stochastic Volatility; 11.3 Application to CAPM Forward-Looking Beta Estimation; 12 Interest Rate Models; 12.1 The Vasicek Model; 12.2 The Bond Price and its Expansion. 
500 |a 12.3 The Quadratic Model. 
520 |a The authors consolidate and extend ideas from their previous book. Ideal for practitioners and as a graduate-level textbook. 
588 0 |a Print version record. 
504 |a Includes bibliographical references (pages 430-438) and index. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
650 0 |a Derivative securities  |x Econometric models. 
650 6 |a Instruments dérivés (Finances)  |x Modèles économétriques. 
650 7 |a BUSINESS & ECONOMICS  |x Investments & Securities  |x General.  |2 bisacsh 
650 7 |a Derivative securities  |x Econometric models  |2 fast 
700 1 |a Papanicolaou, George. 
700 1 |a Sircar, Ronnie. 
700 1 |a Sølna, Knut. 
758 |i has work:  |a Multiscale stochastic volatility for equity, interest rate, and credit derivatives (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCGTxpDvRy9V9qqkqP4dHwd  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Fouque, Jean-Pierre.  |t Multiscale Stochastic Volatility for Equity, Interest Rate, and Credit Derivatives.  |d Cambridge : Cambridge University Press, ©2011  |z 9780521843584 
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