Display Abstract

Title S-continuous financial time series composed from the delta-function

Name Shuya Kanagawa
Country Japan
Email sgk02122@nifty.ne.jp
Co-Author(s) Kiyoyuki Tchizawa
Submit Time 2014-02-28 03:50:12
Session
Special Session 114: Nonstandard Analysis, Quantizations and Singular Perturbations
Contents
When the time series are decomposed as the fluctuation and the usual trend, it is possible to recompose S-continuous time series using a delta-function through nonstandard analysis. It is done under a weak integrability assumption. The representation of the financial time series can be applied to analysis of option prices.