Accounting 400Lesson 7 of 1315 min

Valuation Multiples — P/E, EV/EBITDA, Companion Variables, and the Rate Sensitivity

Valuation multiples are shorthand DCFs — compressed equations that embed assumptions about growth, risk, and capital returns into a single ratio. Damodaran's framework makes explicit what is hidden inside each multiple: the P/E ratio encodes growth, payout ratio, and cost of equity. EV/EBITDA encodes ROIC, growth, and capital intensity. Using multiples intelligently means knowing which companion variables must be equal for a comparison to be valid — and recognizing when they are not.

What you'll learn
  • Derive the drivers of the P/E multiple from dividend discount model algebra
  • Apply Damodaran's companion variable concept to make multiple comparisons valid
  • Calculate EV/EBITDA and explain what it embeds about capital intensity and growth
  • Use the PEG ratio as a growth-adjusted P/E and understand its limitations
  • Explain how rising interest rates compress valuation multiples through the discount rate channel

The P/E Multiple — What Is Really Inside This Number

The P/E ratio is the most widely used valuation multiple. But it is also the most misused — because the number means nothing without context. Damodaran derives P/E from the Gordon Growth Model to make the hidden assumptions explicit:

Valuation Multiples by Sector — Typical Ranges and Companion Variables

Illustrative ranges · Damodaran: multiples vary with growth, risk, and profitability

EV/EBITDA Ranges (Companion Variable: ROIC)

Software / SaaS

1545×

High ROIC (20%+) justifies premium

Consumer Staples

1018×

Stable ROIC (12–18%), defensive

Industrial / Mfg

714×

Moderate ROIC (8–15%), cyclical

Energy / Commodity

49×

Variable ROIC, capital-intensive

45×

Sector

P/E Range

EV/EBITDA

EV/Sales

Software / SaaS

2060×

1545×

415×

Consumer Staples

1630×

1018×

1.54×

Industrial / Mfg

1225×

714×

0.82.5×

Energy / Commodity

820×

49×

0.51.8×

Companion Variables — Mismatch Signals (Damodaran)

P/E

Companion: Expected EPS Growth

Low PE + High Growth = Potential Bargain

EV/EBITDA

Companion: ROIC

Low EV/EBITDA + High ROIC = Potential Bargain

P/Book

Companion: Return on Equity (ROE)

Low P/B + High ROE = Potential Bargain

EV/Sales

Companion: Operating Margin

Low EV/Sales + High Margin = Potential Bargain

Figure 7.1 — Ranges are illustrative; actual multiples shift with interest rates and market sentiment. Damodaran: 'A stock with a PE of 15 would have been cheap in 2008, expensive in 2009, and fairly priced in 2010.'

P/E — Fundamental Drivers (from DDM)

P/E = Payout Ratio × (1 + g) ÷ (Cost of Equity − g)

Payout ratio = Dividends / EPS. g = sustainable long-term growth rate. Cost of equity = risk-free rate + equity risk premium × beta. This is the one-stage Gordon Growth model form. The key insight: P/E is not arbitrary — it is mathematically determined by three variables.

VariableEffect on P/E When It RisesMagnitudeCommon Misconception
Earnings growth (g)P/E rises — faster growth justifies paying more per dollar of current earningsLarge — doubling growth rate can double the justified P/EGrowth always justifies high P/E — FALSE: only if ROIC > cost of equity; otherwise growth destroys value and P/E should be LOW
Payout ratioP/E rises — more earnings returned to shareholders → higher price per dollar of retained earningsModerate — all else equal, a 60% payout justifies higher P/E than 30% payoutLower payout means more retained — but only if reinvestment is high-ROIC
Cost of equity (Ke)P/E falls — higher discount rate reduces PV of future earnings; riskier company deserves lower P/ELarge — a 2% rise in cost of equity can cut justified P/E by 20–30%High earnings growth always offsets high risk — FALSE: high-risk high-growth companies are worth less than low-risk same-growth companies

Damodaran's core principle: you can only compare P/E ratios across companies if the companion variables — growth rate, payout ratio (or reinvestment rate), and risk (beta/cost of equity) — are approximately equal. Comparing Company A (P/E 30×, 20% growth, beta 1.8) with Company B (P/E 15×, 5% growth, beta 0.7) and concluding B is 'cheaper' is almost certainly wrong. B's lower growth and lower risk may fully justify a lower P/E. The correct comparison is: what P/E does each company deserve given its growth, payout, and risk? If justified P/E exceeds market P/E, it may be undervalued; if below, it may be overvalued.

EV/EBITDA — The Cross-Capital-Structure Multiple

EV/EBITDA avoids the leverage distortion that makes P/E incomparable across companies with different capital structures. Enterprise value includes all capital (debt + equity − cash); EBITDA is pre-interest. Both are 'capital structure neutral,' making EV/EBITDA superior for comparing businesses with very different D/E ratios:

  • Enterprise Value (EV) = Market capitalization + Total debt − Cash and equivalents + Preferred equity + Minority interest. EV represents the total cost to buy the entire business — the price a private equity buyer or strategic acquirer would pay.
  • What EV/EBITDA embeds: like P/E, EV/EBITDA encodes growth, risk, and a third factor unique to it — capital intensity. Two businesses with the same EBITDA but very different CapEx requirements deserve different EV/EBITDA multiples: the high-CapEx business converts less EBITDA to FCFF (after CapEx deduction), so each EBITDA dollar is worth less.
  • EV/EBITDA fundamental drivers (from McKinsey): EV/EBITDA is approximately = (1 − cash tax rate) × (1 − g/ROIC) ÷ (WACC − g). Companies with high ROIC, high WACC-to-growth spreads deserve high multiples. This formalizes the intuition: a business that earns 25% ROIC with 10% growth and 9% WACC should trade at higher EV/EBITDA than one earning 9% ROIC with 8% growth and 9% WACC (the second is barely creating value).
  • Industry norms for EV/EBITDA: Software/SaaS: 20–50× (high growth, high ROIC, low capital intensity). Consumer staples: 12–18× (moderate growth, high ROIC, low volatility). Industrial manufacturing: 8–12× (moderate growth, moderate ROIC). Capital-intensive industries (utilities, telecom): 6–10× (low growth, high CapEx offset). Always compare within industry — cross-industry EV/EBITDA comparisons require explicit normalization.

The PEG Ratio — Growth-Adjusted P/E and Its Limitations

The PEG ratio (P/E ÷ Growth rate) adjusts the P/E multiple for growth, creating a rough 'apples-to-apples' comparison across companies growing at different rates:

PEG Ratio

PEG = (P/E ratio) ÷ (Expected EPS growth rate, %)

Rule of thumb (Peter Lynch): PEG < 1.0 suggests undervaluation; PEG > 2.0 suggests overvaluation. But these thresholds assume risk is equal across companies — rarely true.

  • PEG strengths: simple, intuitive, reduces the 'high growth = always expensive' bias. A company at P/E 40× growing 40% has PEG 1.0; a company at P/E 15× growing 5% has PEG 3.0. The PEG framework correctly identifies the first as potentially fair-valued and the second as potentially expensive for its growth.
  • PEG limitations — Damodaran's critique: (1) Risk is ignored: a high-risk startup at PEG 0.8 is not more attractive than a low-risk consumer staple at PEG 1.5; the higher risk deserves a lower price per unit of growth. (2) Growth quality is ignored: growth at ROIC > cost of equity is valuable; growth at ROIC < cost of equity destroys value. A company growing 40% at 7% ROIC (below WACC) deserves a low P/E — a PEG of 0.5 is not a bargain. (3) EPS growth vs. FCF growth: a company that grows EPS 40% through accounting manipulation but only grows FCF 10% has a PEG that overstates attractiveness. Always confirm that EPS growth is backed by FCF growth.
  • Modified PEG: Damodaran suggests dividing P/E by a growth variable that also captures ROIC or reinvestment efficiency. More sophisticated screen: P/FCFE per share ÷ FCF per share growth rate — this directly tests whether you are paying a fair price for growing economic value.

Interest Rates and Multiples — The Duration of Equities

One of the most underappreciated aspects of valuation multiples is their sensitivity to interest rates. Equities, like bonds, have duration — and higher discount rates compress the present value of future earnings:

  • The mechanism: P/E = Payout × (1+g) ÷ (Ke − g). Cost of equity (Ke) = Risk-free rate + ERP × Beta. When risk-free rates rise, Ke rises, the denominator (Ke − g) rises, and P/E falls — all else equal. This is the 'rates rising = multiples compressing' relationship observed in 2022 when the Fed raised rates from 0% to 5% and technology multiples (which had priced in decades of future earnings) compressed 60–80%.
  • Long-duration equities are more rate-sensitive: a company whose value is concentrated in near-term cash flows (short duration) is less sensitive to rate changes than one whose value depends on cash flows 10–20 years in the future (long duration). High-growth companies with minimal current earnings but enormous future earnings potential are the longest-duration equities — their P/E and EV/EBITDA multiples compress the most in rising rate environments. Profitable, mature companies with high current FCF yields are shorter-duration and more rate-resistant.
  • Quantifying multiple compression from rates: using the one-stage DDM, a rise in Ke from 9% to 11% for a company growing at 6% reduces justified P/E from (payout × 1.06)/(0.09−0.06) = 35.3× (assuming 100% payout for simplicity) to (payout × 1.06)/(0.11−0.06) = 21.2×. A 2pp rate rise compresses justified P/E by 40% for a 6%-growth company — entirely from the discount rate channel, with no change in business fundamentals.
  • Damodaran's equity risk premium dynamics: ERP is not static. In crises (2008, 2020), ERP spikes as investors demand more risk compensation — compressing all equity multiples even as risk-free rates fall. Post-crisis normalization sees ERP compress back — expanding multiples even if risk-free rates don't change. Understanding both components of Ke (risk-free rate + ERP) is necessary to forecast multiple trajectories.
  • Median vs. mean in comparable analysis: Damodaran recommends using median rather than mean P/E and EV/EBITDA in comparable company analysis. Why? A few outliers with extreme multiples (unprofitable companies with near-zero EPS produce enormous P/Es; acquisitions with premium prices inflate multiples) will distort the mean severely. The median is robust to these outliers and better represents the 'typical' company in the peer group.

Key Takeaways

  • P/E = Payout × (1+g) ÷ (Ke − g); three drivers: growth (g), payout ratio, and cost of equity (Ke); companion variables must match for valid cross-company comparison
  • EV/EBITDA is capital-structure neutral; embeds growth, risk, and capital intensity; high ROIC + high growth + low capital intensity justifies high multiples
  • PEG = P/E ÷ growth rate; Peter Lynch rule: PEG < 1.0 potentially cheap; limitation: ignores risk and growth quality (ROIC vs. WACC)
  • Rising rates compress multiples through the discount rate channel; long-duration equities (high-growth, low current FCF) compress most; mature high-FCF companies are shortest-duration
  • Damodaran: use median not mean in comparable analysis; outliers distort mean EV/EBITDA and P/E; median represents the typical peer group company

Quiz — 3 Questions

Answer one at a time
Question 1 of 30 answered

Using the DDM-based P/E formula: payout ratio = 50%; expected growth = 8%; cost of equity = 12%. What is the justified P/E? If market P/E = 22×, is the stock overvalued or undervalued?

AJustified P/E = 13.5×; overvalued at 22×
BP/E = 0.50 × 1.08 ÷ (0.12−0.08) = 0.54 ÷ 0.04 = 13.5×; market P/E 22× exceeds justified P/E 13.5× → the stock appears overvalued given these growth, risk, and payout assumptions; however, before concluding overvaluation, verify: is 8% growth assumption too low (if true growth is 10%+, justified P/E rises significantly); is 12% cost of equity too high (if beta is overestimated or ERP is high, reducing Ke to 10% raises justified P/E to 27×); multiples analysis is only as good as the assumptions — sensitivity to inputs is critical
CJustified P/E = 27×; undervalued at 22×
DCannot determine — not enough information