The mathematical theory of stock market

We introduce the axiom of stock market. Let E be a vectur(column) of efficiencies of securities on the market. The axiom: There exist at least two securities with unequal efficiencies, t.e. E is not a constant vector. Then, we determine the meaning of the parameters of the stock market: let V be a matrix of variations of securities on market and c =IV^(-1)I, where I is a vecror(column), whose components are units, then c is numerically equal to the minimum variance of all portfolios. Analogously we explain the informati e meaning of rest three parameters a, b, d and perform mathematical analysis of the various tasks of the stock market. Sometimes we used a good mathematician, but in many times it's enough the Lagrange method of conditional extremum.

Autorentext

Vyacheslav Malykhin finished MGU in 1972, defended the candidate dissertation in 1976 and PhD dissertation in 1986. Since 1976, Malykhin works in GUU - State University of Managment (Moskow) as a professor.Karine Nurtazina, the candidate of Physical and Mathematical Sciences, the docent of ENU-Euroasian National University (Astana, Kazakhstan).