Business 100Lesson 10 of 1414 min

The P/E Ratio — Fundamentals, Drivers, and the Median vs. Mean Trap

The price-to-earnings ratio is the most cited number in all of investing — and the most misused. Damodaran dedicates substantial attention in The Little Book of Valuation to dissecting the P/E: what fundamentally determines it, why comparing P/Es across different growth rates is meaningless without adjustment, and why the median multiple matters more than the mean in sector comparisons. Understanding P/E at a deep level transforms it from a simple ratio into a window on market expectations.

What you'll learn
  • Derive the P/E ratio from the Gordon Growth Model to understand its fundamental determinants
  • Explain how growth rate, payout ratio, and cost of equity all drive P/E
  • Calculate and interpret the PEG ratio as a growth-adjusted P/E
  • Apply the median vs. mean distinction in sector P/E comparisons
  • Use trailing vs. forward P/E appropriately for different analytical contexts

The P/E Ratio — Derived from First Principles

P/E Ratio — Full Decomposition

From the Gordon Growth Model: P/E = b / (Ke − g) — every P/E has fundamental drivers

Derivation from Gordon Growth Model

Step 1

P₀ = D₁ / (Ke − g)

Stock price = PV of dividends

Step 2

D₁ = E₁ × b

Dividend = EPS × payout ratio

Step 3

P₀ = E₁ × b / (Ke − g)

Substitute into GGM

Step 4

P/E = b / (Ke − g)

Divide both sides by E₁

The Three Fundamental Drivers of P/E

Payout Ratio (b)

D/E — dividends as % of earnings

↑ b → ↑ P/E (more cash returned)

Must hold growth constant — higher payout means less growth unless ROIC is very high

Cost of Equity (Ke)

Rf + β × ERP (CAPM)

↑ Ke → ↓ P/E (higher discount rate reduces all future values)

Rising interest rates → rising Ke → lower justified P/E for all stocks

Growth Rate (g)

Retention rate × ROIC

↑ g → ↑ P/E (future earnings worth more today)

Only value-creating when ROIC > Ke; value-destroying growth lowers P/E

PEG Ratio — P/E Adjusted for Growth

PEG = P/E ÷ EPS Growth Rate (%)

Peter Lynch's rule: PEG < 1.0 is attractive; > 1.5 is expensive; > 2.0 is overpriced

P/E MultipleEPS GrowthPEG RatioInterpretation
8×4%2.00×Expensive relative to growth
15×10%1.50×Moderate — needs quality check
20×20%1.00×Fairly valued on growth basis
30×25%1.20×Slight premium — monitor
40×30%1.33×Growth priced in; risk increases

Trailing vs. Forward P/E — Which to Use

Trailing P/E (TTM)

Price / Last 12 months actual EPS

Pros

Based on realized earnings — no estimate error

Can't be 'managed' by forward guidance

Cons

Backward-looking; irrelevant for fast-changing businesses

Distorted by one-time items in prior year

Best for: Mature, stable businesses; historical comparison

Forward P/E (NTM)

Price / Next 12 months consensus EPS estimate

Pros

Forward-looking; more relevant for investment decisions

Reflects current business momentum

Cons

Estimate risk — analysts systematically over-estimate EPS

Based on consensus that may embed wrong assumptions

Best for: Growth companies; M&A analysis; sector screening

Figure 10.1 — Full P/E decomposition. P/E is not arbitrary — it is determined by three measurable fundamentals. The PEG ratio corrects for growth differences; forward P/E corrects for backward-looking distortions.

The P/E ratio is not an arbitrary market multiple — it has a precise mathematical derivation from the Gordon Growth Model. Starting from P₀ = D₁ / (Ke − g) and defining the dividend payout ratio as b = D₁/EPS₁, we get P₀ = EPS₁ × b / (Ke − g), and therefore P₀/EPS₁ = b / (Ke − g). This derivation reveals exactly what drives P/E — and what doesn't.

P/E Ratio Derivation from Gordon Growth Model

P/E = b / (Ke − g)

b = dividend payout ratio (or earnings retention complement if using EPS-based approach); Ke = cost of equity; g = sustainable earnings growth rate

DriverP/E RelationshipWhyReal-World Examples
Growth rate (g)Positive — higher growth → higher P/EHigher g shrinks the (Ke−g) denominator, increasing the multipleHigh-growth tech: 30–60× P/E; no-growth utilities: 12–18× P/E
Cost of equity (Ke)Negative — higher Ke → lower P/EHigher Ke grows the denominator; investors require more earnings per dollar of priceLow interest rates (2010–2021) supported high P/Es; rising rates (2022) compressed them
Payout ratio (b)Positive — higher payout → higher P/E, IF ROIC>KeHigher payout means more cash returned; valuable if ROIC exceeds cost of capitalMature companies with high dividends often trade at premium P/Es to growth companies with same earnings
Risk (via Ke)Negative — higher risk → higher Ke → lower P/ERisk premium in Ke reflects systematic risk; risky earnings are worth less per dollarUtility (Ke=7%): P/E~25×; biotech (Ke=15%): P/E~10–15× on near-term earnings

In 2022, the Federal Reserve raised rates by 425 basis points. For a growth stock with g=8% and Ke=10% (ERP=5%, β=1.0), the original P/E denominator was (10%−8%)=2%, giving P/E=50×. After rate hikes: Rf rises 4.25% → Ke rises to ~14.25% → (Ke−g) = (14.25%−8%) = 6.25% → P/E = 1/0.0625 = 16×. The same business, with the same growth rate, went from 50× to 16× earnings. The 68% P/E compression was entirely mechanical — driven by the risk-free rate increasing, not by any change in the underlying business. This is why high-P/E stocks are called 'long duration assets' — they are extremely sensitive to discount rate changes.

The PEG Ratio — Adjusting P/E for Growth

Peter Lynch popularized the PEG ratio (P/E divided by earnings growth rate) as a quick heuristic for identifying whether a P/E multiple is justified by growth. The intuition: a company growing earnings at 20% per year 'deserves' a higher P/E than one growing at 5% per year. PEG normalizes the P/E for the growth rate, allowing comparisons across different growth profiles:

PEG Ratio

PEG = (P/E) / (Annual EPS Growth Rate %)

Lynch's rule of thumb: PEG < 1 = potentially undervalued; PEG = 1 = fairly valued; PEG > 2 = potentially overvalued. Growth rate typically the 5-year expected EPS CAGR.

CompanyP/E5-yr EPS Growth RatePEGInterpretation
Fast-growing SaaS45×35%1.29Somewhat elevated but not extreme given growth trajectory
Mid-growth tech28×20%1.40Slightly above Lynch's 'fair' threshold; reasonable for quality business
Consumer staples22×6%3.67High PEG — 22× earnings for only 6% growth is expensive; market likely paying for stability premium
Cyclical industrial12×15%0.80Below 1 — potentially undervalued if growth is sustainable; warrants further analysis

The PEG ratio has three significant limitations: (1) It treats all growth as equal quality — but 20% growth from a capital-light franchise (Visa) is worth far more than 20% growth from a capital-intensive business (steel company) because the reinvestment rate differs dramatically. (2) It uses near-term growth rates, which are often extrapolated too far — a company growing at 30% today will not grow at 30% forever; the PEG based on next-year's expected growth overstates long-run value for high-growth companies at the peak of their S-curve. (3) It ignores risk — a cyclical company and a stable franchise with the same P/E and growth rate have very different risk profiles. Use PEG as a screening tool, not a valuation tool.

Trailing vs. Forward P/E — Which to Use and When

The P/E ratio can be calculated on either trailing earnings (last 12 months of actual reported EPS) or forward earnings (next 12 months of consensus forecast EPS). Each has specific strengths and weaknesses, and the choice matters significantly in certain market conditions:

MetricFormulaAdvantageDisadvantageBest Use Case
Trailing P/E (TTM)Price / Last 12 months EPSBackward-looking, objective — based on reported GAAP results, not estimatesReflects past results that may not predict future; distorted by one-time items; misleading at earnings cycle troughs (cyclical stocks look expensive at cycle lows)Comparing historical valuation levels for the same company; initial screening across sectors
Forward P/E (NTM)Price / Next 12 months consensus EPSForward-looking — better for valuation that prices future performance; aligns with how institutional investors thinkSubject to analyst estimate errors and bias; consensus estimates typically too optimistic by 10–20%; NTM creates a 'moving window' problem as time passesCross-sector comparisons in the current period; M&A and investment decisions; Fed model comparisons to interest rates
Normalized P/EPrice / Mid-cycle or normalized EPSRemoves cyclicality — values business at 'average' earnings, not trough or peakDefining 'normal' is subjective; requires multi-year earnings historyCyclical companies (automotive, mining, chemicals); companies recovering from one-time disruptions

Median vs. Mean — Damodaran's Sector Comparison Warning

Damodaran's specific warning about sector P/E comparisons: never use the sector mean P/E as the benchmark. Use the median. The reason: P/E distributions within sectors are right-skewed — a handful of extremely high P/E companies (often loss-making companies with theoretically infinite or negative P/E) pull the mean far above the median, making the 'average sector P/E' a meaningless and misleading statistic.

  • The right-skew problem: within the technology sector, a mix of profitable large-caps (25–35× P/E), high-growth mid-caps (50–100× P/E), and money-losing startups (technically infinite or undefined P/E) creates a distribution where the mean is 60×+ but the median is 28×. A company at 35× earnings that compares itself to a 60× 'sector mean' will conclude it is cheap — when it is actually expensive relative to the typical company in its sector.
  • Damodaran's recommended approach: (1) Include only companies with positive earnings in the comparison; (2) Use the harmonic mean or the median of P/E multiples, not the arithmetic mean; (3) Separate the peer group by growth rate tier before comparing — a 30× P/E for a 25% growth company is comparable to a 15× P/E for a 5% growth company if the PEG ratios are similar.
  • The screened comparison: when comparing a specific company's P/E to peers, the most rigorous approach is to select peers with similar growth profiles (within ±5 percentage points of EPS growth), similar risk profiles (similar betas and business models), and similar capital structures — then compare the P/E of the subject company to this screened peer median.
  • Why means are problematic in practice: the arithmetic mean of P/E ratios is actually a poor estimator because it is the ratio of sums divided by n, while the true comparable measure is the median of the ratios. For small distortions (the sector is mostly profitable and similarly-valued), mean vs. median barely matters. For large distortions (10–20% of sector is money-losing or extremely high multiple), the difference between mean and median can be 2–3× — entirely changing the valuation conclusion.

Semiconductor sector: 10 companies with P/Es of 18, 22, 25, 27, 30, 33, 38, 45, 120, N/M (loss-making). Arithmetic mean = (18+22+25+27+30+33+38+45+120)/9 = 40×. Median = 30×. A semiconductor company trading at 35× compared to the 40× mean would appear 'cheap.' Compared to the 30× median, it appears 'expensive.' The mean was pulled up by the one outlier at 120× — which is not a representative valuation for a semiconductor business at normal profitability. Using the median, the analyst correctly identifies the 35× company as expensive relative to its most relevant peers.

Key Takeaways

  • P/E = b / (Ke − g): the multiple is driven by growth (g), cost of equity (Ke), and payout ratio (b); higher growth → higher P/E; higher risk → higher Ke → lower P/E
  • 2022 rate hike P/E compression: a 4.25% increase in Ke compressed growth stock P/Es from 50× to 15–16× — same business, mechanically lower multiple because the discount rate rose
  • PEG = P/E / growth rate: a quick growth-adjusted screen; PEG <1 suggests potential undervaluation but ignores ROIC quality and risk
  • Forward P/E is the standard for cross-sector comparisons; trailing P/E for historical context; normalized P/E for cyclicals
  • Damodaran's median warning: use the median sector P/E, not the arithmetic mean — right-skewed distributions with outliers make the mean meaningless and misleading

Quiz — 3 Questions

Answer one at a time
Question 1 of 30 answered

Company A has a P/E of 40× with a 30% EPS growth rate. Company B has a P/E of 20× with a 5% EPS growth rate. Using PEG ratios, which appears more attractively valued?

ACompany B — lower P/E means it is cheaper
BCompany A: PEG = 40/30 = 1.33. Company B: PEG = 20/5 = 4.0. Company A is significantly more attractively valued on a growth-adjusted basis — its high P/E is more than justified by its high growth rate; Company B is very expensive relative to its growth rate; paying 20× earnings for 5% growth (PEG = 4×) is far more expensive than paying 40× earnings for 30% growth (PEG = 1.33×)
CBoth are equally valued — different multiples for different growth profiles
DCannot compare without knowing the industries