Relationship between Stock Market of Iran, India, and China in the years 2000-2012 using a Mathematical Model

Systematic risk refers to the possibility of a collapse of an entire financial system or market. After 2008 financial crisis، a significant amount of effort has been directed to the study of systemic risk and its consequences around the world. In this paper with this assumption that larger and stronger markets influence smaller ones، a model inspired by catalytic chemical model is proposed. In chemical reactions، reagents with higher concentrations tend to favor their conversion to products. In order to modulate the conversion process، catalyzers may be used. In this work a mathematical modeling is proposed with bases on the catalytic chemical reaction model. China and India indices of strong markets are taken as being analogous to the concentration of reagents and the indices of smaller markets as (Iran) concentrations of products. The role of catalyst is to model the degree of influence of one index on another. The results show markets influence of china and India stock markets on Iran stock markets is low.