In recent years, due to the influence of economic globalization and financial integration, modern financial theory and financial innovation, the Chinese and Russian financial markets have developed rapidly, but at the same time, the financial markets have also shown unprecedented volatility. The Sino-Russian financial markets at the initial development stage will also face even more dramatic fluctuations. In particular, the stock market, which is the largest area for potential financial risk transmission, inevitably becomes the focus of green innovation management for financial risk transmission. This paper uses the modern risk management technology Kriging theory, through the introduction of GARCH Kriging model calculation, analyzes the comprehensive risk transmission of different markets in the Chinese and Russian stock markets, and measures several representative industry risks, indicating that Kriging risk management theory is in China and Russia. The applicability of the stock market and the risk estimation of different industries. At the same time, this paper analyzes the risk composition of the portfolio through Kriging risk analysis of the four heavyweight stocks of Sino-Russian funds, and makes relevant analysis for the selection of the portfolio and the sources of risk transmission and risk avoidance. The experimental results show that for the test sample data T = 510, at a 95% confidence level, the number of Sino-Russian real estate index, manufacturing index, financial index and IT index should not exceed the Kriging critical value nor exceed 36.
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