Investors looking to invest in the equity market of China have a multitude of options. The simplest way is go with the ADRs of Chinese firms trading on the US markets. However one can also invest via the H-Shares which are Chinese firms listed on the Hong Kong Stocks exchange. There are also other types of stocks such as Red Chips, A-Shares, B-Shares, etc.
The following chart shows the various options available to invest in Chinese equities:
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Source: Eight charts that explain the growing importance of China A-shares, Schroders