Cash flow statement requirement

Yes, provided that the private company is not a dormant or small company.
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From FY 2014-15 onwards, cash flow statement is a compulsory part of the financial statement, except in the case of one person company, dormant company and small company [Sec. 2(40)].
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To know about one person company, dormant company and small company, refer sec. 2(62), 455 and 2(85) respectively.