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Are you asking whether using the Perpetuity Growth Model will yield a result similar to projecting a company's FCF for, say, 50 years instead of 5? If so, your answer is yes.
The further out you project the horizon the closer to the perpetuity value it will be. Think about something like (n+1) / n and the limit as n approaches infinity. The further out you go the closer to 1 (the value of the limit) you become.
It's also conceptually easy to think about the fact that CF at year 50 is divided by the quantity ((1+WACC)^50), so on for 49, 48, 47...
So as Crunch said, the further you project, the more negligible the present value, thus the closer the two results (Perpetuity and Raw Projection) are to one another.
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