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This paper aims to analyze the trading mechanism of China pilot carbon emission trading market and figure out whether the current market price is rational and valid. By applying directional distance function and stochastic frontier analysis method, we estimated the CO2 marginal abatement cost of 92 coal-fueled generators belonging to 27 power plants located in Shanghai which is one of the pilot carbon emission trading market cities in China. The result indicates that the market price will greatly affect the trading activities within carbon emission trading market. We conclude that the current market price is not rational for coal-fueled power industry which is high-carbon and high CO2 MAC industry. When the exchange of nationwide carbon trading market formally start, policymakers should impose carbon tax or carbon emission quota to adjust the market price and stimulate the CO2 emission reduction willingness of coal-fueled power plants. [ABSTRACT FROM AUTHOR]