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The jump diffusion model is a very important model for studying the distribution of Return on Assets. Based on the jump-diffusion models, this paper uses gamma distribution, and selects a representative stock data of China's stock market as a research object, using the N-M method to perform maximum likelihood estimation of the parameters in the model. The result shows that the effect of the data of the simulated high kurtosis of the gamma jump-diffusion model is better than that of thedoi:10.12783/dtssehs/icssd2018/27425 fatcat:x32xxduq6zckvbmp2lufaqf7ji