The mathematical theory of stock market Vyacheslav Malykhin and Karine Nurtazina

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 informatiмe 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. Это и многое другое вы найдете в книге The mathematical theory of stock market (Vyacheslav Malykhin and Karine Nurtazina)