Answers / Valuation

How do you derive the implied perpetuity growth rate from an exit-multiple terminal value, and why is it a useful check?

A core Valuation interview question — asked in analyst and associate interviews across IB, PE, and the Big 4.

THE SHORT ANSWER

If you set terminal value with an exit multiple, you should back out the perpetuity growth rate it implies and sanity-check it. Rearrange the Gordon formula: with TV = exit multiple × terminal metric, and TV = FCF·(1+g)/(WACC−g), solve for g given your WACC and terminal FCF. If the implied g comes out at, say, 5–6% for a mature business, the exit multiple is too aggressive (no mature firm grows above long-run GDP forever); if it implies negative growth, the multiple may be too low. Conversely, when you use Gordon growth, compute the implied exit multiple and compare to current trading multiples. The cross-check matters because the two terminal methods should tell a consistent story — a large gap reveals an internally inconsistent assumption, and since terminal value dominates the DCF, it's where a sanity check earns its keep.

WHAT INTERVIEWERS LISTEN FOR

  • Back out g from TV = FCF(1+g)/(WACC−g) given the exit-multiple TV
  • Implied g above long-run GDP signals too-aggressive multiple
  • Reverse-check: implied exit multiple from a Gordon TV vs trading multiples
  • Terminal value dominates, so consistency check is high-value

COMMON MISTAKES

  • Never cross-checking the two terminal methods
  • Accepting an implied g above GDP
  • Treating exit multiple and Gordon as unrelated

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