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@yuyang, Yes, if you simply mean the daily reported price for investors to subscribe or redeem fund units. Nowadays, funds typically reporting NAV (Unit net asset value) for this purpose, but some older funds may still reporting Bid/Offer prices. Lipper provides all price types as long as the fund house reporting them. These price data can be accessed in Eikon API and Eikon Excel. The related fields are: TR.FundNAV, TR.FundBid and TR.Fund.Offer
Notes, mutual funds typically reporting price on daily basis, so if it is for the NAV/Bid/Offer, prices of funds, we typically do not call them "closing price".
If you mean the "market close price" for funds trading in exchanges (ETFs), then Lipper also carries that "market close price", but sometimes Lipper is using the term "Mid" price for that price type. The field "TR.FundMid" should be the field for this price type.