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ten business cyclical fluctuations. The economic growth was characterized by erratic ups and downs which lasted for several decades. With the economic reform and opening up to the outside world in 1978 as part of Deng Xiaoping’s market-oriented policy, the Chinese economy grew exponentially and the volatility of the GDP growth rate declined significantly. The macroeconomic control policies in the 1980s prevented large fluctuations in the country’s economic development, and smoothed the output volatility further. This study examines the output volatility in China and our result reveals the standard deviation of quarterly output growth rate has declined dramatically. Using the CUSUM squares test and the Quandt-Andrews breakpoint test to identify unknown structure breaks, we identified two structural breaks: 1994:1 towards destabilization and 1998:1 towards stabilization. We then examine the stochastic process for GDP and the result shows that the decrease in volatility can be traced primarily to a decrease in the standard deviation of output shocks. Following this, we reached two ii