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One of the ways that analysts try to normalize earnings for a money losing companies is to take the average earnings of the companies for the past 5 years and replace the current earnings with that number.

What are the implicit assumptions of this?

You can do this for very very few companies - maybe old time cyclic companies where there is been recession. For most, it won’t work.

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You are implicitly assuming that:

The inherent idea behind this question is that, when high growth companies, or any company for that matter is showing future FCFE as losses, how will it raise money to justify these cash flows? When you value companies, you have to answer this question and therefore, when you still go ahead and apply negative FCFE, you are inherently assuming that the markets are open and accessible enough for your target company to raise capital required for this negative cash flows.