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Free cash flows present value calculation : 3-period model


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Over three periods lasting n1 years, n2 years, and up to infinity (for example : years 0 to 5, years 6 to 10, years 11 to infinity...), cash flow rises by g1 for n1-1 years, then by g2 for n2 years and then by g3 to infinity. Present value is then equal to:

This formula is useful when the growth rate is very high at the beginning of the period of projection, i.e. higher than the discounting rate, and then gradually declines.

Practically :

  • The first period growth and length will depend on the company's "visibility", i.e. the period of time over which is it reasonable to establish projections,
  • During the last period, free cash flows growth rate is similar to the one of the company's market or the economy as a whole or less,
  • The second period making the transition between both periods...

See also Vernimmen chapter Chapter 16

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