Section 1 Economic Factors and Business Information

Valuation Factors

42 min read · Lesson 4 of 4

Valuation Factors

Valuation is the discipline of deciding what a security is worth. Market price is what investors are paying right now; intrinsic value is what the security would be worth if you priced it from underlying fundamentals. The gap between the two is the opportunity. The Series 66 tests two broad approaches — relative valuation through multiples (P/E, P/B, P/S, dividend yield) and absolute valuation through cash-flow models (chiefly the Gordon Growth Dividend Discount Model). You'll need fluency with both, and a clean read on when each one breaks.

Section 1 of 5 ~5 min · 2 concept checks

Valuation foundations

Why valuation matters

Valuation factors help investors and advisers decide whether a security is overpriced, underpriced, or fairly valued relative to its fundamentals. They turn a stock's price — a number that by itself means almost nothing — into a comparable quantity that can be measured against earnings, book value, sales, or expected cash flows.

The Series 66 doesn't ask you to forecast next quarter's EPS or build a discounted cash flow model. It asks you to recognize which valuation tool fits a given situation, to interpret what a ratio is telling you, and to spot the cases where a standard metric quietly fails (negative earnings, no dividends, intangible-heavy businesses). Get the framework right and the calculations are usually one division problem.

Intrinsic value vs. market value

Every fundamental valuation question turns on a single distinction:

Market value
What the security trades for right now — the price set by supply and demand in the marketplace.
Intrinsic value
What the security is worth based on its underlying fundamentals — earnings power, asset base, projected cash flows.

When intrinsic value exceeds market price, the security is undervalued — the market is paying less than the fundamentals justify, and a fundamental analyst would consider it a buy. When market price exceeds intrinsic value, the security is overvalued. When they're roughly equal, the security is fairly valued.

The whole valuation toolkit exists to estimate intrinsic value, so it can be compared against the observable market price. Different tools use different anchors — earnings, book value, dividends — but they all serve the same goal.

Two approaches to valuation

Two broad families of valuation methods show up on the Series 66:

Relative valuation · multiples

Compare the stock's price to a fundamental (earnings, book value, sales, dividends) and benchmark that multiple against industry peers, the broad market, or the company's own history.
Examples
P/E, P/B, P/S, P/CF, PEG, dividend yield
Strength
Quick, intuitive, requires only public data

Absolute valuation · cash-flow models

Estimate intrinsic value directly by discounting expected future cash flows back to the present using a required rate of return.
Examples
Dividend Discount Model (DDM), Discounted Cash Flow (DCF)
Strength
Theoretically rigorous, anchored to fundamentals rather than market sentiment

Section 2 and Section 3 work through the most-tested multiples. Section 4 introduces the Gordon Growth DDM, the Series 66's canonical cash-flow valuation model. Section 5 connects both approaches to the growth-vs-value investing framework.

Concept Check

An analyst estimates a stock's intrinsic value at $45 per share. The stock currently trades at $38 in the market. According to fundamental analysis, the stock most likely:

When intrinsic value (the worth derived from fundamentals) exceeds market price, the security is undervalued — the market is paying less than the underlying business justifies. Fundamental analysts treat this gap as a buying opportunity, expecting the market price to eventually converge toward intrinsic value. The reverse situation — market price above intrinsic value — would indicate overvaluation. The whole valuation toolkit (multiples, DDM, DCF) exists to estimate intrinsic value so this comparison can be made.
Concept Check

A startup biotech firm has no current earnings, pays no dividend, and has minimal tangible book value. An adviser wants to evaluate the company's intrinsic value. Which valuation approach is MOST appropriate?

Negative current earnings make P/E meaningless; minimal book value makes P/B unreliable; no dividends rule out the DDM. A discounted cash flow analysis, in which the analyst projects future cash flows (sales, profits, free cash flow) and discounts them back to present value, is the only standard tool that works for a pre-earnings, pre-dividend company. DCF is the absolute-valuation approach designed precisely for cases where current snapshot metrics break down. The Series 66 expects you to match the tool to the company's life-cycle stage.
Section 2 of 5 ~9 min · 3 concept checks

P/E & earnings-based valuation

Price-to-earnings (P/E) ratio

P/E = Market price per share ÷ Earnings per share (EPS)

P/E is the most widely used valuation metric. It tells you how much investors are willing to pay for each dollar of the company's current earnings. A P/E of 20 means the market is paying $20 today for $1 of annual earnings — effectively a 20-year payback if earnings stay flat.

  • High P/E — investors expect high future growth (a growth stock), or the stock is overvalued and ripe for a correction. The number itself doesn't say which.
  • Low P/E — the stock may be undervalued (a value-investing opportunity), or the market sees real problems ahead (declining business, regulatory risk, cyclical downturn). Again, the number alone doesn't decide.

Trailing vs. forward P/E. Trailing P/E uses the past 12 months of actual reported earnings — observable but backward-looking. Forward P/E uses analyst projections for the next 12 months — relevant but only as accurate as the projection. For a growing company, forward P/E will be lower than trailing P/E because the projected earnings are higher.

Interpreting P/E in context

P/E means nothing in isolation. It only acquires meaning against a benchmark. Consider two tech companies in the same year:

GrowthCo

Price
$120
EPS
$3.00
P/E = 40

ValueCo

Price
$50
EPS
$5.00
P/E = 10

What the adviser concludes: GrowthCo investors are paying $40 per dollar of current earnings — they're betting on rapid earnings growth to justify the premium. ValueCo investors pay only $10 — the market expects slower growth or sees higher risk. Neither is inherently "better." A growth investor with a long time horizon may prefer GrowthCo; an income-focused investor may prefer ValueCo. The right answer depends on the client's objectives and time horizon.

PEG ratio — growth-adjusted P/E

A high P/E can mean the stock is overvalued, or it can mean the market expects strong future growth. The PEG ratio is an attempt to disentangle the two:

PEG = P/E ratio ÷ Annual earnings growth rate (in %)

PEG normalizes P/E by the expected growth rate. A company with a P/E of 30 and 30% expected growth has a PEG of 1.0. A company with a P/E of 30 and only 10% expected growth has a PEG of 3.0 — the same P/E but a much weaker case.

  • PEG below 1.0 — suggests the stock may be undervalued relative to its growth rate.
  • PEG around 1.0 — the rough industry rule of thumb for "fairly valued" given growth (popularized by Peter Lynch).
  • PEG above 1.0 — suggests the stock may be overvalued relative to its growth, even if its absolute P/E looks attractive.

PEG only works for companies with positive expected growth, and it's only as reliable as the growth projection feeding it.

When P/E breaks down

The P/E ratio has well-known limitations the Series 66 likes to test:

  • Negative earnings. Dividing market price by a negative EPS gives a negative number, which has no useful interpretation. Many early-stage and turnaround companies report losses; P/E is simply not applicable. Use P/S, P/CF, or DCF instead.
  • Cyclical companies. Heavy industrials, commodity producers, and other deeply cyclical businesses can post huge earnings at the cycle peak and losses at the trough. A trailing P/E swings wildly with the cycle; use normalized earnings (average earnings across the cycle) to get a meaningful number.
  • Accounting differences. Two companies in the same industry may report very different EPS purely because of accounting choices (depreciation methods, inventory accounting, one-time charges). P/E comparisons assume the EPS denominators are constructed similarly — not always true.
  • No accounting for growth. A P/E of 25 for a fast grower and a P/E of 25 for a no-growth company are not the same investment. PEG addresses this; raw P/E doesn't.
Exam trap · valuation metric limitations

The Series 66 may present a scenario where a company has negative EPS (it's losing money). The P/E ratio is meaningless when the denominator is negative — you cannot compute a useful multiple. Similarly, a company with negative book value makes the P/B ratio unreliable. If a question asks which metric is appropriate for a money-losing company, look for alternative measures: price-to-sales (P/S), price-to-cash-flow (P/CF), or a forward-looking discounted cash flow (DCF) analysis based on projected future earnings.

Concept Check

TechCo trades at $90 per share. Its trailing twelve-month earnings per share is $3.60, and its forward EPS (next 12 months) is projected at $5.00. The stock's trailing P/E and forward P/E are, respectively:

Trailing P/E = $90 ÷ $3.60 = 25. Forward P/E = $90 ÷ $5.00 = 18. For a growing company, forward P/E is lower than trailing P/E because the projected (larger) EPS in the denominator pulls the ratio down. Trailing uses past 12 months of actual reported earnings — observable but backward-looking. Forward uses analyst projections — relevant for valuation but only as reliable as the projection. The Series 66 expects you to recognize both formulas and the directional relationship between them when growth is expected.
Concept Check

A stock has a P/E of 30 and expected annual earnings growth of 30%. Its PEG ratio is approximately, and the typical interpretation is:

PEG ratio = P/E ÷ Annual earnings growth rate (in %) = 30 ÷ 30 = 1.0. The Peter Lynch rule of thumb popularized this as the 'fairly valued' threshold — a stock whose P/E equals its growth rate is paying for growth at one-for-one, neither cheap nor expensive on growth-adjusted terms. PEG below 1.0 suggests potential undervaluation relative to growth; above 1.0, potential overvaluation. PEG only makes sense for companies with positive expected growth and is only as good as the growth projection itself.
Concept Check

An early-stage technology company reports a net loss for the year, producing negative earnings per share. Which valuation approach is most appropriate?

P/E breaks down with negative earnings — a negative denominator produces a negative ratio with no useful interpretation, and substituting an absolute value or peer-average earnings defeats the point of valuing this specific company. The correct response is to switch tools. P/S works because revenue exists even for unprofitable companies. P/CF works when non-cash charges distort earnings. DCF works because future projected cash flows can be discounted regardless of current losses. These three are the standard alternatives the Series 66 expects.
Section 3 of 5 ~7 min · 3 concept checks

P/B & asset-based valuation

Price-to-book (P/B) ratio

P/B = Market price per share ÷ Book value per share

Where book value per share = (Total shareholders' equity − preferred equity) ÷ common shares outstanding. Book value is the company's accounting net worth: what the balance sheet says the equity is worth if you sold the assets and paid off the liabilities.

  • P/B > 1 — market values the company above its book value. Common for companies with strong intangible assets, brand value, or expected growth. Most companies in the broad market trade at P/B above 1.
  • P/B = 1 — market values the company exactly at its accounting net worth.
  • P/B < 1 — market values the company below its accounting book value. Could indicate an undervalued opportunity (a value-investing entry point) or a real problem (asset write-downs ahead, declining business, financial distress).

The interpretation always requires context. A bank trading at P/B of 0.7 might be a recovery opportunity or it might be flagging credit concerns the market sees that the balance sheet hasn't yet caught up to.

When P/B is most useful (and when it isn't)

P/B is particularly relevant for analyzing:

  • Banks and financial institutions — their main assets (loans, securities) are marked close to market value, making book value a meaningful anchor for what the franchise is worth.
  • Real estate and insurance companies — property holdings and investment portfolios provide a tangible, marked-to-market asset base.
  • Companies in financial distress — P/B below 1.0 may indicate the market values the company below its potential liquidation value.

P/B is much less useful for:

  • Technology and software companies — most of the value is in intellectual property, software platforms, network effects, and human capital, none of which appears on the balance sheet in any meaningful way. A software firm can trade at P/B of 10 or 20 without being unusual.
  • Brand- and service-driven businesses — consumer brands, advertising agencies, professional services. Few tangible assets to measure; intrinsic value lives mostly in goodwill and reputation.

The principle: P/B works well when book value is a fair proxy for economic value. It works poorly when most of the value is intangible.

Price-to-sales (P/S) and price-to-cash-flow (P/CF)

When earnings are unreliable, two alternative multiples step in.

P/S = Market price per share ÷ Revenue per share

P/S is most useful when earnings are negative, volatile, or distorted by one-time items. Revenue is the cleanest top-line measure: it's harder to manipulate than earnings, and it exists even for unprofitable companies. P/S is commonly used for early-stage growth companies, cyclical companies near a trough, and companies with one-time non-cash charges (asset write-downs, restructuring expenses).

P/CF = Market price per share ÷ Operating cash flow per share

P/CF uses operating cash flow rather than reported net income. Cash flow excludes non-cash items like depreciation and amortization, so it can be a more honest measure than earnings for capital-intensive businesses (real estate, telecom, transportation) where depreciation dominates the income statement. P/CF is typically lower than P/E for such companies because cash flow exceeds earnings when depreciation is heavy.

Concept Check

An investor is evaluating a software company whose primary value comes from intellectual property, proprietary software platforms, and human capital. Which statement about applying the price-to-book ratio is most accurate?

Book value reflects accounting net worth — assets minus liabilities as reported on the balance sheet. For software, IP-heavy, and brand-driven companies, the most valuable assets (code bases, patents, brand strength, network effects, engineering talent) don't appear on the balance sheet in any meaningful way. The result is that market prices significantly exceed book values, producing high or even uninformative P/B ratios. P/B works well for asset-heavy businesses like banks and REITs where book value approximates economic value; it works poorly for intangible-heavy businesses.
Concept Check

A stock trading with a P/B ratio of 0.7 MOST likely indicates:

A P/B below 1.0 means the market is valuing the company at less than its book (accounting) value. The interpretation cuts two ways. Value investors view this as a potential undervaluation opportunity — buying assets at a discount to their stated worth. Alternatively, the market may be signaling real problems: imminent asset write-downs, declining business, or financial distress where book value will soon be revised lower. P/B below 1.0 is a screen for further investigation, not a buy signal on its own. Pair it with trend analysis and industry context before drawing conclusions.
Concept Check

When is the price-to-sales (P/S) ratio MOST useful as a valuation metric?

P/S replaces earnings (which can be negative, volatile, or distorted) with revenue (which is always positive and harder to manipulate) in the denominator. This makes it the right tool when earnings are unreliable: pre-profit growth companies, cyclical industries at the trough of a cycle, and firms experiencing one-time non-cash charges (large write-downs, restructuring expenses, asset impairments). For mature stable companies, P/E and dividend-based metrics work fine and are more standard. P/S is the alternative when those standard tools break.
Section 4 of 5 ~9 min · 3 concept checks

Dividend metrics & the DDM

Dividend yield — the cash-income return

Dividend yield = Annual dividend per share ÷ Market price per share

Dividend yield expresses the dividend as a percentage of the current stock price — effectively the cash income an investor earns just from holding the share, before any capital appreciation. A stock trading at $50 paying $2 in annual dividends has a 4% dividend yield.

  • High dividend yields are characteristic of mature, slower-growth companies — utilities, regulated industries, established REITs, big-name consumer staples — that return a large share of earnings to shareholders rather than reinvesting.
  • Low or zero dividend yields are characteristic of growth-oriented companies that reinvest earnings back into the business (technology, biotech, early-stage industrials).

A trap to watch: a very high dividend yield (say, 9%+) is sometimes a warning rather than an attraction. If the stock price has dropped sharply, the yield mathematically rises even if the dividend hasn't changed — and the price drop may signal the dividend is at risk of being cut. The yield looks fat right up until management announces the cut, at which point the yield collapses and the stock often drops further. Always pair yield with the payout ratio (next block) and the company's earnings stability.

Dividend payout ratio

The yield tells you what fraction of the stock price the dividend represents. The payout ratio tells you what fraction of earnings the dividend represents:

Payout ratio = Dividends per share ÷ Earnings per share

A company with $4 EPS and $1 in annual dividends has a 25% payout ratio — it returns 25% of earnings as dividends and retains the other 75% to reinvest in growth, pay down debt, or buy back shares. The complement is the retention ratio (1 − payout ratio), which is the share of earnings kept inside the company.

  • Low payout (0-30%) — typical of growth companies retaining capital to fund expansion.
  • Moderate payout (30-60%) — balanced between income and reinvestment, common for mature established firms.
  • High payout (60-90%) — characteristic of mature, stable companies (utilities, REITs, consumer staples) with limited reinvestment opportunities.
  • Payout above 100% — the company is paying more in dividends than it's earning. Unsustainable in the long run; the dividend is likely funded by cash reserves, asset sales, or debt, all of which eventually run out.

The Gordon Growth Dividend Discount Model

The Dividend Discount Model (DDM) is the Series 66's canonical absolute-valuation tool. In its simplest, most-tested form — the Gordon Growth Model — it assumes a company will pay a dividend next year that grows at a constant rate forever, and computes the present value of that infinite stream:

P0 = D1 ÷ (k − g)

where

  • P0 = the stock's intrinsic value today
  • D1 = the expected dividend one year from now (= D0 × (1 + g))
  • k = the investor's required rate of return
  • g = the constant annual dividend growth rate (must be less than k)

Worked example. A stock just paid an annual dividend of $2.00 (D0). Dividends are expected to grow at 5% per year forever. The investor's required return is 10%. What's the stock's intrinsic value?

D1 = $2.00 × (1 + 0.05) = $2.10
P0 = $2.10 ÷ (0.10 − 0.05) = $2.10 ÷ 0.05 = $42.00

If the stock currently trades below $42, a DDM-using analyst would consider it undervalued. Above $42, overvalued. At $42, fairly valued.

Gordon Growth DDM calculator

Try setting g equal to k — the model breaks because dividing by zero gives an infinite price. The constraint g < k is mathematical, not advisory.

D1 · next-year dividend
$2.10
$2.00 × (1 + 0.05)
P0 · intrinsic value
$42.00
$2.10 ÷ (0.10 − 0.05)
A 1-point shift in either g or k can change intrinsic value by 20-30%. The model is theoretically clean but practically sensitive to inputs.

When DDM works — and when it doesn't

The Gordon Growth Model is mathematically elegant but practically narrow. It produces a meaningful number only when several conditions hold simultaneously:

  • The company pays a dividend. No dividend, no model. DDM is useless for non-dividend payers (most early-stage tech, biotech, or growth companies that retain everything).
  • The dividend is stable and predictable. Cyclical or erratic dividend streams violate the constant-growth assumption.
  • Growth is constant. Real companies have varying growth rates over different life-cycle stages — but the simple Gordon model assumes one rate forever. More sophisticated multi-stage DDMs exist; the Series 66 focuses on the single-stage version.
  • Required return exceeds growth (k > g). If g equals or exceeds k, the denominator becomes zero or negative and the model produces nonsense (infinite or negative price). When testing, the exam usually picks growth rates well below required returns.

Best fit: mature, stable, dividend-paying companies with a clear and predictable dividend history — utilities, consumer staples, real estate trusts, large-cap mature industrials. Bad fit: growth companies, cyclicals, non-dividend payers, recent IPOs.

Concept Check

A stock trades at $60 per share and pays a quarterly dividend of $0.45. The stock's annual dividend yield is closest to:

Dividend yield uses the annual dividend, which is the quarterly dividend × 4. Annual dividend = $0.45 × 4 = $1.80. Dividend yield = $1.80 ÷ $60 = 3.0%. The most common trap is to use the quarterly dividend directly in the yield formula, producing 0.75% (the 0.45 ÷ 60 result). Another common error is to confuse the dividend payout ratio (dividends ÷ earnings) with the dividend yield (dividends ÷ price). On the Series 66, always annualize the dividend before dividing by the share price to compute yield.
Concept Check

A company reports earnings per share of $4.00 and pays an annual dividend of $1.00 per share. Its dividend payout ratio is:

Payout ratio = Dividends per share ÷ Earnings per share = $1.00 ÷ $4.00 = 25%. The company distributes 25% of earnings as dividends and retains the other 75% to reinvest, pay down debt, or buy back shares. A 25% payout ratio is typical of growth-oriented companies with productive reinvestment opportunities. Mature dividend-payers (utilities, REITs, consumer staples) typically run higher payouts (60-90%); payouts above 100% indicate the dividend is funded by cash reserves, asset sales, or debt — unsustainable in the long run.
Concept Check

A stock is expected to pay a dividend of $2.10 next year (D₁). Investors' required rate of return is 10%, and the dividend is expected to grow at a constant rate of 5% per year indefinitely. Using the Gordon Growth Dividend Discount Model, the stock's intrinsic value is closest to:

Gordon Growth Model: P₀ = D₁ ÷ (k − g) = $2.10 ÷ (0.10 − 0.05) = $2.10 ÷ 0.05 = $42. The model assumes a dividend that grows at a constant rate forever and discounts the infinite stream back to present value using the investor's required return. The model produces a finite price only when k > g; if growth equaled or exceeded the required return, the formula would produce infinite or negative values. The $21 distractor results from using k alone instead of (k − g) in the denominator — a classic exam trap.
Section 5 of 5 ~7 min · 3 concept checks

Growth vs. value framework

Growth vs. value — the investing framework

Growth stocks

Appreciation
P/E ratio
High — market expects rapid future earnings growth
P/B ratio
High — value lives in intangibles, brand, IP, not on the balance sheet
Dividend yield
Low or zero — earnings reinvested for growth
Typical industries
Technology, biotech, disruptive consumer brands, software-as-a-service
Risk profile
Higher volatility — if growth disappoints, prices fall sharply because they were priced for growth
Suitable for
Clients seeking capital appreciation, with longer time horizons and higher risk tolerance

Value stocks

Income
P/E ratio
Low — market sees slower growth, uncertainty, or out-of-favor sector
P/B ratio
Low — may trade near or below book value
Dividend yield
Higher — earnings distributed rather than retained
Typical industries
Financials, utilities, energy, mature industrials, consumer staples
Risk profile
Lower volatility — "margin of safety" from low starting valuation
Suitable for
Clients seeking current income, lower volatility, or shorter time horizons

Multiples vs. DCF — pros and cons

Section 1 introduced the two broad valuation approaches. With the toolkit now built out, the trade-offs come into focus.

Multiples (relative valuation)

Pros
  • Fast and intuitive
  • Reflect current market sentiment
  • Need only publicly observable data
  • Easy to compare across peers
Cons
  • Inherit market mistakes if peers are mispriced
  • Comparability across companies is rarely perfect
  • Don't account for unique risks or opportunities

DCF / DDM (absolute valuation)

Pros
  • Theoretically rigorous
  • Anchored to fundamentals, not sentiment
  • Independent of where market multiples currently sit
Cons
  • Highly sensitive to inputs (g, k, terminal value)
  • Garbage-in, garbage-out — small input errors compound
  • DDM requires a dividend; basic Gordon assumes constant growth

In practice, professional analysts use both: DCF/DDM to estimate intrinsic value, multiples to triangulate and sanity-check the result. The Series 66 wants you to know that neither approach is universally superior — each has situations where it's the right tool.

How the Series 66 actually tests valuation

Most Series 66 valuation questions are conceptual rather than computational. Typical patterns: "What does a high P/E ratio suggest?" "Which investor would prefer a low P/B stock?" (A value investor.) "Which valuation method is appropriate for a money-losing company?" (P/S, P/CF, or DCF — not P/E.) "When does the DDM produce nonsense?" (When g ≥ k, or when the company doesn't pay dividends.) Know the interpretations and the boundary cases cold; the actual arithmetic, when required, is rarely more than one division problem.

Concept Check

A growth investor would MOST likely be attracted to a stock with:

Growth investors seek companies whose earnings are expected to expand rapidly. The market prices in that growth expectation, producing a high P/E ratio — investors are willing to pay a premium per dollar of current earnings because they expect future earnings to be substantially higher. Growth companies also typically reinvest earnings rather than paying dividends, so dividend yields tend to be low or zero. Value investors take the opposite stance, hunting for low-P/E, low-P/B, high-yield stocks where the market may have overlooked or underpriced the underlying business.
Concept Check

A retired client whose primary investment objective is current income would MOST likely benefit from stocks with:

Retirees often need predictable current income from their portfolios. Value stocks — low P/E, low P/B, high dividend yield — are well-suited because they distribute a larger share of earnings as dividends rather than reinvesting them. These companies tend to be mature, established, with stable cash flows (utilities, regulated industries, large-cap consumer staples, REITs). Growth stocks reinvest earnings to fund expansion and typically pay little or no dividend, so they do not serve a current-income objective even when the underlying companies are excellent investments for capital appreciation.
Concept Check

A 32-year-old client with a 30-year time horizon, no immediate income needs, and a high stated risk tolerance has expressed a goal of maximizing long-term capital appreciation. Which investment style most clearly aligns with this profile?

The client profile — long time horizon, no current income need, high risk tolerance, and an explicit goal of capital appreciation — maps directly to a growth-oriented strategy. High-P/E growth companies that reinvest earnings produce most of their returns through capital appreciation rather than dividends, and the long horizon allows the client to tolerate the higher volatility of growth investing. Value, income, and capital-preservation strategies all serve different client profiles. The Series 66 routinely tests this alignment between client objectives, time horizon, and investment style.
Summary Cram aid & consolidated traps

Chapter summary

Exam essentials · every formula and rule on one screen
P/E ratio
Price ÷ EPS
PEG ratio
P/E ÷ growth rate %
P/B ratio
Price ÷ Book value/sh
P/S ratio
Price ÷ Revenue/sh
P/CF ratio
Price ÷ Op cash flow/sh
Dividend yield
Annual div ÷ Price
Payout ratio
Dividends ÷ EPS
Gordon DDM
P0 = D1 ÷ (k − g)
DDM requires
k > g, stable dividend, constant growth
Growth profile
High P/E, high P/B, low yield
Value profile
Low P/E, low P/B, high yield
Negative EPS
Use P/S, P/CF, or DCF — not P/E
Common traps to expect on the exam
  • "High P/E means overvalued." Not automatically — high P/Es often reflect high growth expectations. PEG is the corrective: it adjusts P/E for the growth rate that justifies it.
  • "Low P/B means undervalued." Not automatically — could also mean the market sees real trouble (write-downs, declining business, distress). And P/B doesn't apply meaningfully to intangible-heavy companies in the first place.
  • "DDM can be used for any stock." No — requires a stable dividend with predictable growth and a required return exceeding the growth rate. Useless for non-dividend payers; breaks mathematically when k ≤ g.
  • "P/E works for any company." No — meaningless for companies with negative earnings, distorted for cyclicals near peak or trough, and assumes accounting comparability that often doesn't hold.
  • "Very high dividend yield is always attractive." Sometimes the yield is high because the price has collapsed on news that the dividend is at risk. A 12% yield with a 110% payout ratio is a coming dividend cut, not a windfall.
  • "Growth stocks are riskier than value stocks because of higher P/E." The risk story is more subtle — growth stocks are priced for performance, so disappointments hurt more. Value stocks come with their own risks (the cheap valuation may be deserved). Neither is uniformly safer.
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