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Integral transforms and American options: Laplace and Mellin go Green - MaRDI portal

Integral transforms and American options: Laplace and Mellin go Green (Q2921636)

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scientific article; zbMATH DE number 6354797
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English
Integral transforms and American options: Laplace and Mellin go Green
scientific article; zbMATH DE number 6354797

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    13 October 2014
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    American options
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    integral transform
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    Laplace transform
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    Mellin transform
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    free boundary
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    Integral transforms and American options: Laplace and Mellin go Green (English)
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    The authors apply the Laplace and Mellin integral transforms to study the free boundary problem for the Black-Scholes-Merton PDE describing the price of American-style options. They show that both transforms produce solutions and integral equations which are equivalent to those obtained by the Green's function approach.
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