Answers / Valuation

A company has a P/E ratio of 20 and an EV/EBITDA multiple of 12. The company has no debt and no cash. What is the effective tax rate embedded in these multiples?

An advanced Valuation question — expect it in final rounds and case-heavy interviews (IB, PE, Big-4 Transaction Services).

THE SHORT ANSWER

For a no-debt, no-cash company, EV = Equity Value. P/E = Price / EPS, EV/EBITDA = EV / EBITDA. EPS = Net Income / Shares, EBITDA = EBIT + D&A. Assuming D&A = 0 for simplicity, EBIT = Net Income / (1 - t). So EV/EBITDA = (P * Shares) / (EBIT) = (P * Shares) / (Net Income / (1 - t)) = P/E * (1 - t). Given P/E=20, EV/EBITDA=12, then 12 = 20 * (1 - t) => 1 - t = 0.6 => t = 40%. So the implied tax rate is 40%.

WHAT INTERVIEWERS LISTEN FOR

  • No debt/cash: EV = Equity Value
  • EV/EBITDA = P/E * (1 - tax rate) if no D&A
  • Solve: 12 = 20 * (1 - t) => t = 40%

COMMON MISTAKES

  • Assuming D&A = 0 without stating assumption
  • Forgetting that EV/EBITDA uses enterprise value

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