Functionals of Multidimensional Diffusions with Applications to Finance
Baldeaux, Jan; Platen, Eckhard
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Description for Functionals of Multidimensional Diffusions with Applications to Finance
Paperback. This research monograph provides an introduction to tractable multidimensional diffusion models. It also offers an introduction to the use of Lie symmetry group methods for diffusions, which allows to compute a wide range of functionals. Series: Bocconi and Springer Series. Num Pages: 448 pages, biography. BIC Classification: KCB; KF; PBW. Category: (G) General (US: Trade). Dimension: 235 x 155 x 23. Weight in Grams: 688.
This research monograph provides an introduction to tractable multidimensional diffusion models, where transition densities, Laplace transforms, Fourier transforms, fundamental solutions or functionals can be obtained in explicit form. The book also provides an introduction to the use of Lie symmetry group methods for diffusions, which allows to compute a wide range of functionals. Besides the well-known methodology on affine diffusions it presents a novel approach to affine processes with applications in finance. Numerical methods, including Monte Carlo and quadrature methods, are discussed together with supporting material on stochastic processes. Applications in finance, for instance, on credit risk and credit valuation adjustment are ... Read more
This research monograph provides an introduction to tractable multidimensional diffusion models, where transition densities, Laplace transforms, Fourier transforms, fundamental solutions or functionals can be obtained in explicit form. The book also provides an introduction to the use of Lie symmetry group methods for diffusions, which allows to compute a wide range of functionals. Besides the well-known methodology on affine diffusions it presents a novel approach to affine processes with applications in finance. Numerical methods, including Monte Carlo and quadrature methods, are discussed together with supporting material on stochastic processes. Applications in finance, for instance, on credit risk and credit valuation adjustment are ... Read more
Product Details
Format
Paperback
Publication date
2014
Publisher
Springer International Publishing AG Switzerland
Number of pages
448
Condition
New
Series
Bocconi and Springer Series
Number of Pages
425
Place of Publication
Cham, Switzerland
ISBN
9783319033341
SKU
V9783319033341
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Functionals of Multidimensional Diffusions with Applications to Finance
“The textbook at hand focuses on ‘tractable multidimensional models with functionals that have explicit solutions’. … The book also covers in detail numerical techniques such exact and almost exact simulation, transform methods, and quasi-Monte Carlo schemes. Moreover, it contains a self-contained summary of the tools from stochastic calculus that are used in the main body of the text.” (Johannes Muhle-Karbe, ... Read more