Rimas Norvaisa () (Institute of Mathematics and Informatics, Akademijos 4, LT-2600 Vilnius, Lithuania Manuscript)
Abstract
In this paper a real analysis approach to stock price modelling is considered. A stock price and its return are defined in a duality to each other provided there exist suitable limits along a sequence of nested partitions of a time interval, mimicking sum and product integrals. It extends the class of stochastic processes susceptible to theoretical analysis. Also, it is shown that extended classical calculus is applicable to market analysis whenever the local 2-variation of sample functions of the return is zero, or is determined by jumps if the process is discontinuous. In particular, an extended Riemann-Stieltjes integral is used in that case to prove several properties of trading strategies.
Download Info
To download:
If you experience problems downloading a file, check if you have the
proper application to
view it first. Information about this may be contained
in the File-Format links below. 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.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Find related papers by JEL classification: G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data) G12 - Financial Economics - - General Financial Markets - - - Asset Pricing C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Estimation
Cited by: (explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)