10.4 Discounted Cash Flow & Relative Valuation Multiples

The dividend discount model suits steady dividend payers, but many companies pay little or no dividend. This section covers discounted cash flow valuation using free cash flow and WACC, the bridge from enterprise value to equity value, and the relative valuation multiples analysts use to compare companies.

Discounted Cash Flow (DCF) & Enterprise Valuation

While the Dividend Discount Model is useful for dividend-paying companies, many firms pay no dividends, reinvesting all operating cash into business expansion. To value these enterprises, analysts use Discounted Cash Flow (DCF) modeling, which measures the cash generated by core operations regardless of dividend payout policies.

Discounted Cash Flow Valuation Architecture
 ├── 1. Project Free Cash Flow to Firm (FCFF) over 5 to 10 year explicit forecast horizon
 ├── 2. Calculate Weighted Average Cost of Capital (WACC) as the discount rate
 ├── 3. Discount explicit FCFF to present value
 ├── 4. Estimate Terminal Value (TV) using Gordon Growth or Exit Multiple method
 ├── 5. Sum PV of explicit cash flows + PV of Terminal Value = ENTERPRISE VALUE (EV)
 └── 6. EV to Equity Bridge: Enterprise Value - Total Debt + Cash = COMMON EQUITY VALUE

1. Free Cash Flow to Firm (FCFF) vs. Free Cash Flow to Equity (FCFE)

• Free Cash Flow to Firm (FCFF): Represents the discretionary cash flow generated by operations that is available to all capital providers—including both bondholders (debt) and common shareholders (equity)—after funding operational expenses, working capital investments, and capital expenditures (CapEx): $\text{FCFF} = \text{EBIT} \times (1 - t) + \text{D\&A} - \text{CapEx} - \Delta\text{Non-Cash Working Capital}$ Where $t$ is the corporate income tax rate, and $\text{D\&A}$ is depreciation and amortization. Discount Rate: FCFF must be discounted at the Weighted Average Cost of Capital (WACC), reflecting the blended required return of both debt and equity holders.
• Free Cash Flow to Equity (FCFE): Represents the cash flow remaining exclusively for common equity holders after meeting all operating expenses, tax liabilities, reinvestment needs, and net debt principal payments: $\text{FCFE} = \text{Cash Flow from Operations (CFO)} - \text{CapEx} + \text{Net Debt Issued (Repaid)}$ Discount Rate: FCFE is discounted at the Cost of Equity ($k_e$) to derive equity value directly.

2. The Weighted Average Cost of Capital (WACC)

WACC measures a corporation's overall cost of capital, weighting each capital component by its proportion in the firm's capital structure:

$\text{WACC} = \left(\frac{E}{V} \times k_e\right) + \left(\frac{D}{V} \times k_d \times (1 - t)\right)$

Where:

• $E$ = Market value of common equity
• $D$ = Market value of total debt
• $V = E + D$ = Total enterprise capital base
• $k_e$ = Cost of equity (calculated via the Capital Asset Pricing Model: $k_e = R_f + \beta [E(R_m) - R_f]$)
• $k_d$ = Pre-tax cost of debt (yield to maturity on corporate debt)
• $t$ = Corporate marginal income tax rate (reflecting the interest tax shield, since interest payments are tax-deductible)

3. The Enterprise Value to Equity Value Bridge

Discounting projected FCFF plus the terminal value yields Enterprise Value (EV)—the total economic value of the operating business. To derive the intrinsic value attributable to common shareholders, analysts apply the Enterprise Value Bridge:

$\text{Common Equity Value} = \text{Enterprise Value} - \text{Total Debt} - \text{Preferred Shares} + \text{Cash and Cash Equivalents}$

$\text{Intrinsic Price Per Share} = \frac{\text{Common Equity Value}}{\text{Diluted Common Shares Outstanding}}$

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Relative Valuation Multiples

Relative valuation compares a company's market valuation multiples to those of direct industry peers, sector benchmarks, or the firm's own historical averages. While DCF models provide absolute intrinsic value, relative valuation evaluates how the market is currently pricing comparable companies.

1. Price-to-Earnings (P/E) Ratio

The most widely referenced equity valuation multiple:

$\text{P/E Ratio} = \frac{\text{Market Price Per Share}}{\text{Earnings Per Share (EPS)}}$

• Trailing P/E: Uses diluted EPS reported over the trailing four quarters (last 12 months). Reflects audited historical facts but can be backward-looking.
• Forward P/E: Uses consensus estimated EPS over the next 12 months or upcoming fiscal year. Reflects forward earnings expectations, though analyst estimates are subject to revision.
• The PEG Ratio (Price/Earnings to Growth): Adjusts the P/E ratio for the company's projected earnings growth rate: $\text{PEG Ratio} = \frac{\text{P/E Ratio}}{\text{Annual EPS Growth Rate (\%)}}$ Interpretation: A PEG ratio equal to 1.0 indicates that a stock's valuation matches its earnings growth. A PEG ratio below 1.0 suggests potential undervaluation, whereas a PEG above 2.0 suggests overvaluation.

2. Enterprise Value to EBITDA (EV/EBITDA)

Enterprise Value to EBITDA compares the total operating value of an enterprise to its operating cash flow before interest, taxes, depreciation, and amortization:

$\text{Enterprise Value (EV)} = \text{Market Capitalization} + \text{Total Debt} + \text{Preferred Equity} - \text{Cash and Cash Equivalents}$

$\text{EV/EBITDA Multiple} = \frac{\text{Enterprise Value}}{\text{EBITDA}}$

Why EV/EBITDA is Preferred for Capital-Intensive Sectors: The EV/EBITDA multiple is capital-structure neutral. Unlike the P/E ratio, EV/EBITDA is not distorted by whether a company finances its assets through debt or equity, nor is it affected by differences in depreciation schedules or corporate income tax rates. This makes it an essential metric for capital-intensive Canadian sectors such as oil and gas exploration, pipeline infrastructure, mining, telecommunications, and cable networks.

3. Price-to-Book (P/B) Ratio

$\text{Price-to-Book (P/B)} = \frac{\text{Market Price Per Share}}{\text{Book Value of Equity Per Share}} = \frac{\text{Market Capitalization}}{\text{Common Shareholders' Equity}}$

• Primary Application in Canada: The P/B ratio is the primary valuation metric for Canadian chartered banks, life insurance companies, and asset managers. Financial institutions hold balance sheets composed primarily of liquid financial assets (mortgages, government bonds, commercial loans) that are regularly marked near fair market value under IFRS.
• Analytical Benchmark: A Canadian bank with a sustained Return on Equity (ROE) above its cost of equity trades at a premium to book value ($P/B > 1.0$). If ROE falls below the cost of capital, the bank typically trades at a discount ($P/B < 1.0$).

4. Price-to-Sales (P/S) Ratio

$\text{Price-to-Sales (P/S)} = \frac{\text{Market Price Per Share}}{\text{Revenue Per Share}}$

• Application: Used for emerging growth companies (such as early-stage tech or biotech) that generate significant revenue growth but have not yet achieved net profitability (where P/E is undefined due to negative earnings), or for cyclical companies experiencing temporary operating losses during an economic trough.

Comparative Matrix: Equity Valuation Multiples

Worked Comparative Multiples Table: Canadian Telecom Peers

Comparative Analysis: Telco Beta trades at a discount to the peer group on both Forward P/E (12.0x vs. 14.9x average) and EV/EBITDA (6.2x vs. 7.4x average), while offering the highest dividend yield (6.4%). An analyst would investigate whether this valuation discount reflects a temporary market mispricing (presenting a buying opportunity) or underlying structural weaknesses such as higher debt leverage, slower subscriber growth, or network underinvestment.