Estimating option prices using multilevel particle filters
P. P. Osei and
Papers from arXiv.org
Option valuation problems are often solved using standard Monte Carlo (MC) methods. These techniques can often be enhanced using several strategies especially when one discretizes the dynamics of the underlying asset, of which we assume follows a diffusion process. We consider the combination of two methodologies in this direction. The first is the well-known multilevel Monte Carlo (MLMC) method, which is known to reduce the computational effort to achieve a given level of mean square error relative to MC in some cases. Sequential Monte Carlo (or the particle filter (PF)) methods have also been shown to be beneficial in many option pricing problems potentially reducing variances by large magnitudes (relative to MC). We propose a multilevel particle filter (MLPF) as an alternative approach to price options. The computational savings obtained in using MLPF over PF for pricing both vanilla and exotic options is demonstrated via numerical simulations.
New Economics Papers: this item is included in nep-cmp and nep-knm
References: View references in EconPapers View complete reference list from CitEc
Citations Track citations by RSS feed
Downloads: (external link)
http://arxiv.org/pdf/1806.01734 Latest version (application/pdf)
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:1806.01734
Access Statistics for this paper
More papers in Papers from arXiv.org
Bibliographic data for series maintained by arXiv administrators ().