Construction of moment-matching multinomial lattices using Vandermonde matrices and Gröbner bases

Lundengård, Karl, 1987- (author): Mälardalens högskola,Utbildningsvetenskap och Matematik,MAM

Ogutu, Carolyne, 1980- (author): Mälardalens högskola,Utbildningsvetenskap och Matematik,University of Nairobi, Kenya,MAM

Silvestrov, Sergei, 1970- (author): Mälardalens högskola,Utbildningsvetenskap och Matematik,MAM

Ni, Ying, 1976- (author): Mälardalens högskola,Utbildningsvetenskap och Matematik,MAM

(creator_code:org_t)

American Institute of Physics (AIP), 2017
2017
English.
In: AIP Conference Proceedings. - : American Institute of Physics (AIP). - 0094-243X. - 9780735414648 ; , s. 020094-1-020094-7

Related links:: http://aip.scitation...; show more...; https://urn.kb.se/re...; https://doi.org/10.1...; show less...

Abstract Subject headings

In order to describe and analyze the quantitative behavior of stochastic processes, such as the process followed by a financial asset, various discretization methods are used. One such set of methods are lattice models where a time interval is divided into equal time steps and the rate of change for the process is restricted to a particular set of values in each time step. The well-known binomial- and trinomial models are the most commonly used in applications, although several kinds of higher order models have also been examined. Here we will examine various ways of designing higher order lattice schemes with different node placements in order to guarantee moment-matching with the process.

By the author/editor: Lundengård, Karl ...; Ogutu, Carolyne, ...; Silvestrov, Serg ...; Ni, Ying, 1976-; Weke, Patrik

About the subject

NATURAL SCIENCES: NATURAL SCIENCES; and Mathematics; and Probability Theo ...

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