Private equity investment (also known as private equity investment or private equity fund) is a very broad concept, which refers to the investment in any kind of equity assets that cannot be traded freely in the stock market.
Venture Capital (VC for short) is a conventional concept with specific connotation in China, but it is more appropriate to translate it into venture capital.
An investment company is a kind of financial intermediary, which concentrates the funds of individual investors and invests them in many securities or other assets.