Adaptive Continuous time Markov Chain Approximation Model to General Jump-Diusions

Mario Cerrato, Chia Chun Lo and Konstantinos Skindilias

No 2011-53, SIRE Discussion Papers from Scottish Institute for Research in Economics (SIRE)

Abstract: We propose a non-equidistant Q rate matrix formula and an adaptive numerical algorithm for a continuous time Markov chain to approximate jump-diffusions with affine or non-affine functional specifications. Our approach also accommodates state-dependent jump intensity and jump distribution, a flexibility that is very hard to achieve with other numerical methods. The Kolmogorov-Smirnov test shows that the proposed Markov chain transition density converges to the one given by the likelihood expansion formula as in Ait-Sahalia (2008). We provide numerical examples for European stock option pricing in Black and Scholes (1973), Merton (1976) and Kou (2002).

Keywords: Markov Chains; Di ffusion Approximation; Transition Density; Jump-Diffusion; Approximation; Option Pricing (search for similar items in EconPapers)
Date: 2011
New Economics Papers: this item is included in nep-ore
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://hdl.handle.net/10943/286
Our link check indicates that this URL is bad, the error code is: 404 Not Found

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:edn:sirdps:286

Access Statistics for this paper

More papers in SIRE Discussion Papers from Scottish Institute for Research in Economics (SIRE) 31 Buccleuch Place, EH8 9JT, Edinburgh. Contact information at EDIRC.
Bibliographic data for series maintained by Research Office ().