Derivatives pricing with marked point processes using tick-by-tick data
AbstractI propose to model stock price tick-by-tick data via a non-explosive marked point process. The arrival of trades is driven by a counting process in which the waiting time between trades possesses a Mittag--Leffler survival function and price revisions have an infinitely divisible distribution. I show that the partial-integro-differential equation satisfied by the value of European-style derivatives contains a non-local operator in time-to-maturity known as the Caputo fractional derivative. Numerical examples are provided for a marked point process with conditionally Gaussian and with conditionally CGMY price innovations. Furthermore, the infinitesimal generator of the marked point process derived to price derivatives coincides with that of a Lévy process of either finite or infinite activity.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoArticle provided by Taylor & Francis Journals in its journal Quantitative Finance.
Volume (Year): 13 (2013)
Issue (Month): 1 (January)
Contact details of provider:
Web page: http://www.tandfonline.com/RQUF20
Other versions of this item:
- Álvaro Cartea, 2010. "Derivatives pricing with marked point processes using Tick-by-tick dataR," Business Economics Working Papers wb101604, Universidad Carlos III, Departamento de Economía de la Empresa.
- G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
- G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
- C41 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Duration Analysis; Optimal Timing Strategies
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- Scalas, Enrico & Politi, Mauro, 2012.
"A parsimonious model for intraday European option pricing,"
Economics Discussion Papers
2012-14, Kiel Institute for the World Economy.
- Enrico Scalas & Mauro Politi, 2012. "A parsimonious model for intraday European option pricing," Papers 1202.4332, arXiv.org.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Michael McNulty).
If references are entirely missing, you can add them using this form.