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A hybrid approach for the implementation of the Heston model

Authors: Briani M; Caramellino L; ZANETTE, Antonino;

A hybrid approach for the implementation of the Heston model

Abstract

We propose a hybrid tree-finite difference method in order to approximate the Heston model. We prove the convergence by embedding the procedure in a bivariate Markov chain and we study the convergence of European and American option prices. We finally provide numerical experiments that give accurate option prices in the Heston model, showing the reliability and the efficiency of the algorithm.

Countries
France, France, Italy, France
Keywords

Finite difference, European and American options, European and American options.; Finite differences; Heston model; Tree methods;, Tree method, finite differences, [QFIN.CP] Quantitative Finance [q-fin]/Computational Finance [q-fin.CP], tree methods, tree methods; finite differences; Heston model; European and American options., Settore MAT/06 - PROBABILITA' E STATISTICA MATEMATICA, Computational Finance (q-fin.CP), Heston model, FOS: Economics and business, Quantitative Finance - Computational Finance, European and American options.

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    selected citations
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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    5
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Average
Average
Average
Green
bronze