Coverart for item
The Resource Numerical partial differential equations in finance explained : an introduction to computational finance, Karel in 't Hout, (electronic resource) | (electronic book)

Numerical partial differential equations in finance explained : an introduction to computational finance, Karel in 't Hout, (electronic resource) | (electronic book)

Label
Numerical partial differential equations in finance explained : an introduction to computational finance
Title
Numerical partial differential equations in finance explained
Title remainder
an introduction to computational finance
Statement of responsibility
Karel in 't Hout
Creator
Subject
Language
eng
Summary
This book provides a first, basic introduction into the valuation of financial options via the numerical solution of partial differential equations (PDEs). It provides readers with an easily accessible text explaining main concepts, models, methods and results that arise in this approach. In keeping with the series style, emphasis is placed on intuition as opposed to full rigor, and a relatively basic understanding of mathematics is sufficient. The book provides a wealth of examples, and ample numerical experiments are givento illustrate the theory. The main focus is on one-dimensional financial PDEs, notably the Black-Scholes equation. The book concludes with a detailed discussion of the important step towards two-dimensional PDEs in finance
Member of
Cataloging source
YDX
http://library.link/vocab/creatorName
IN 'T HOUT, KAREL
Dewey number
650.01/51
Index
no index present
LC call number
HF5691
LC item number
.H68 2017eb
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Financial Engineering Explained
http://library.link/vocab/subjectName
  • Business mathematics
  • Differential equations, Partial
  • Financial engineering
Label
Numerical partial differential equations in finance explained : an introduction to computational finance, Karel in 't Hout, (electronic resource) | (electronic book)
Instantiates
Publication
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 1 Financial Option Valuation; 1.1 Financial Options; 1.2 The Black-Scholes PDE; 2 Partial Differential Equations; 2.1 Convection-Diffusion-Reaction Equations; 2.2 The Model Equation; 2.3 Boundary Conditions; 2.4 Notes and References; 3 Spatial Discretization I; 3.1 Method of Lines; 3.2 Finite Difference Formulas; 3.3 Stability; 3.4 Notes and References; 4 Spatial Discretization II; 4.1 Boundary Conditions; 4.2 Nonuniform Grids; 4.3 Nonsmooth Initial Data; 4.4 Mixed Central/Upwind Discretization; 4.5 Notes and References; 5 Numerical Study: Space; 5.1 Cell Averaging; 5.2 Nonuniform Grids
  • 5.3 Boundary Conditions6 The Greeks; 6.1 The Greeks; 6.2 Numerical Study; 6.3 Notes and References; 7 Temporal Discretization; 7.1 The -Methods; 7.2 Stability and Convergence; 7.3 Maximum Norm and Positivity; 7.4 Notes and References; 8 Numerical Study: Time; 8.1 Explicit Method; 8.2 Implicit Methods; 8.3 Notes and References; 9 Cash-or-Nothing Options; 10 Barrier Options; 11 American-Style Options; 11.1 American-Style Options; 11.2 LCP Solution Methods; 11.3 Numerical Study; 11.4 Notes and References; 12 Merton Model; 12.1 Merton Model; 12.2 Spatial Discretization; 12.3 IMEX Schemes
  • 12.4 Numerical Study12.5 Notes and References; 13 Two-Asset Options; 13.1 Two-Asset Options; 13.2 Spatial Discretization; 13.3 ADI Schemes; 13.4 Numerical Study; 13.5 Notes and References; Appendix A: Wiener Process; Appendix B: Feynman-Kac Theorem; Appendix C: Down-and-Out Put Option Value; Appendix D: Max-of-Two-Assets Call Option Value; Bibliography; Index
Dimensions
unknown
Edition
1ST ED. 2017.
Extent
1 online resource.
Form of item
online
Isbn
9781137435682
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Specific material designation
remote
System control number
on1005695561
Label
Numerical partial differential equations in finance explained : an introduction to computational finance, Karel in 't Hout, (electronic resource) | (electronic book)
Publication
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • 1 Financial Option Valuation; 1.1 Financial Options; 1.2 The Black-Scholes PDE; 2 Partial Differential Equations; 2.1 Convection-Diffusion-Reaction Equations; 2.2 The Model Equation; 2.3 Boundary Conditions; 2.4 Notes and References; 3 Spatial Discretization I; 3.1 Method of Lines; 3.2 Finite Difference Formulas; 3.3 Stability; 3.4 Notes and References; 4 Spatial Discretization II; 4.1 Boundary Conditions; 4.2 Nonuniform Grids; 4.3 Nonsmooth Initial Data; 4.4 Mixed Central/Upwind Discretization; 4.5 Notes and References; 5 Numerical Study: Space; 5.1 Cell Averaging; 5.2 Nonuniform Grids
  • 5.3 Boundary Conditions6 The Greeks; 6.1 The Greeks; 6.2 Numerical Study; 6.3 Notes and References; 7 Temporal Discretization; 7.1 The -Methods; 7.2 Stability and Convergence; 7.3 Maximum Norm and Positivity; 7.4 Notes and References; 8 Numerical Study: Time; 8.1 Explicit Method; 8.2 Implicit Methods; 8.3 Notes and References; 9 Cash-or-Nothing Options; 10 Barrier Options; 11 American-Style Options; 11.1 American-Style Options; 11.2 LCP Solution Methods; 11.3 Numerical Study; 11.4 Notes and References; 12 Merton Model; 12.1 Merton Model; 12.2 Spatial Discretization; 12.3 IMEX Schemes
  • 12.4 Numerical Study12.5 Notes and References; 13 Two-Asset Options; 13.1 Two-Asset Options; 13.2 Spatial Discretization; 13.3 ADI Schemes; 13.4 Numerical Study; 13.5 Notes and References; Appendix A: Wiener Process; Appendix B: Feynman-Kac Theorem; Appendix C: Down-and-Out Put Option Value; Appendix D: Max-of-Two-Assets Call Option Value; Bibliography; Index
Dimensions
unknown
Edition
1ST ED. 2017.
Extent
1 online resource.
Form of item
online
Isbn
9781137435682
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Specific material designation
remote
System control number
on1005695561

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