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Fractional calculus and fractional processes with applications to financial economics : theory and application /
Fractional Calculus and Fractional Processes with Applications to Financial Economics presents the theory and application of fractional calculus and fractional processes to financial data. Fractional calculus dates back to 1695 when Gottfried Wilhelm Leibniz first suggested the possibility of fracti...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
London :
Academic Press,
2016.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Font Cover ; Fractional Calculus and Fractional Processes with Applications to Financial Economics: Theory and Application; Copyright; Dedication ; About the Authors; Contents; List of illustrations; Part I Theory; 1 Fractional calculus and fractional processes: an overview; 1.1 Fractional calculus; 1.2 Fractional processes; 2 Fractional Calculus; 2.1 Different definitions for fractional derivatives; 2.2 Computation with Matlab; Key points of the chapter ; 3 Fractional Brownian Motion; 3.1 Definition; 3.2 Long-Range Dependency; 3.3 Self-Similarity; 3.4 Existence of Arbitrage.
- Key points of the chapter 4 Fractional Diffusion and Heavy Tail Distributions: Stable Distribution; 4.1 Univariate Stable Distribution; 4.2 Multivariate Stable Distribution; Key points of the chapter ; 5 Fractional Diffusion and Heavy Tail Distributions: Geo-Stable Distribution; 5.1 Univariate Geo-stable Distribution; 5.2 Multivariate Geo-stable Distribution; Key points of the chapter ; Part II Applications; 6 Fractional Partial Differential Equation and Option Pricing; 6.1 Option Pricing and Brownian Motion; 6.2 Option Pricing and the L�evy Process; Key points of the chapter.
- 7 Continuous-Time Random Walk and Fractional Calculus7.1 Continuous-Time Random Walk; 7.2 Fractional Calculus and Probability Density Function; 7.3 Applications; Key points of the chapter ; 8 Applications of Fractional Processes; 8.1 Fractionally Integrated Time Series; 8.2 Stock-Returns and Volatility Processes; 8.3 Interest-Rate Processes; 8.4 Order Arrival Processes; Key points of the chapter ; References; Index ; Back Cover.