Abstract: CPI and GDP are introduced to analyze influential factors of banking operational risk in the paper. The concept of elasticity fractal dimension of banking operational risk is given based on the fractal theory and the concept of economic elasticity. With the new calculation method,the elasticity fractal dimension of banking operational risk in USA and China is calculated and analyzed. The result shows clearly that banking operational risk in USA and China under the action of the influential factors of CPI and GDP has multifractal characteristic.And according to the elasticity fractal dimension of operational risk,data collection threshold can be obtained,which reduces the difficulty of data collection and is favorable to banking macroscopic analysis and supervison. The predicting ability of the elasticity fractal dimension is discussed preliminarily and has offered a new way for us to make more research on estimating expected losses of operational risk in our banks.

Key words: banking operation risk, fractal theory, CPI/GDP, elasticity fractal dimension