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Chapter 11: Calculating the Cost of Capital

FIN 3400 — Finance for Non-Financial Managers · MDC Kendall · Fall 2026
Module 3 — Exam: Dec 6 (200 pts)
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What Is the Cost of Capital?

Every dollar a firm invests comes from somewhere — shareholders, bondholders, or preferred stockholders. Each group demands a different return based on the risk they bear. The Weighted Average Cost of Capital (WACC) blends these costs into a single hurdle rate that every project must clear.

The Core Relationship

The firm's cost of capital is the same thing as the investor's required return — viewed from the other side of the transaction. When investors require a 10% return on a company's stock, the company's cost of equity is 10%. One coin, two sides.

Why We Need a Weighted Average

Firms rarely use just one source of capital. A typical company might have 60% equity, 30% debt, and 10% preferred stock. Each source has a different cost:

Think of it this way: WACC is the minimum return a company must earn on its investments to satisfy all its capital providers. If a project earns less than WACC, the firm is destroying value — it's paying more for capital than the project generates. WACC is the financial equivalent of the break-even point for value creation.

The WACC Formula

The WACC formula combines the after-tax costs of each capital source, weighted by its proportion:

WACC = (w_E × R_E) + (w_P × R_P) + (w_D × R_D × (1 − T))

Breaking Down the Components

SymbolMeaning
w_E, w_P, w_DWeights of equity, preferred stock, and debt (must sum to 1)
R_ECost of equity (from CAPM or constant-growth model)
R_PCost of preferred stock (dividend / price)
R_DBefore-tax cost of debt (yield to maturity on existing debt)
TCorporate tax rate

Why Debt Is After-Tax

Interest payments are tax-deductible — they reduce taxable income. This creates a tax shield that lowers the effective cost of debt. If the before-tax cost of debt is 8% and the tax rate is 21%:

After-tax cost of debt = 8% × (1 − 0.21) = 8% × 0.79 = 6.32%

The government effectively subsidizes 21% of your interest cost. This is why debt is cheaper than equity — not just because it's less risky, but because the tax code favors it.

TCJA impact: The Tax Cuts and Jobs Act of 2017 reduced the corporate tax rate to a flat 21% (from 15%–35%). This reduced the tax shield on debt, making debt slightly less attractive than before. The law also constrained when firms can deduct interest. The after-tax cost of debt is now higher than it was pre-2017.

Cost of Equity

Equity is the most expensive capital source — shareholders are last in line and bear the most risk. There are two main methods to estimate the cost of equity:

Method 1: CAPM (from Chapter 10)

R_E = R_f + β × (R_market − R_f)

Best when you have sufficient historical data for a reliable beta estimate and the firm's risk profile is stable.

Method 2: Constant-Growth Model (from Chapter 8)

R_E = (D₁ / P₀) + g

Best when the stock pays a steady, growing dividend. Not suitable for companies with irregular or no dividends.

Example: ADK Industries

Given: stock price = $32.75, next dividend = $1.54, growth = 6%, risk-free rate = 3%, market return = 9%, beta = 1.3

Both methods give nearly identical results (~10.75%), which increases confidence. When they disagree significantly, investigate which assumptions are unreliable.

Cost of Preferred Stock

Preferred stock pays a fixed dividend forever (no growth), so its cost is simply the dividend yield:

R_P = D / P

Note: preferred dividends are NOT tax-deductible (unlike interest on debt). There's no tax adjustment — the cost is the full dividend yield.

Example: ADK Industries

ADK has 1 million shares of 7% preferred stock (7% of $100 par = $7 annual dividend) trading at $72 per share:

R_P = $7 / $72 = 9.72%

Why does the 7% preferred stock cost 9.72%? Because the stock trades at $72 (below $100 par). The dividend is fixed at $7, but the price dropped — raising the effective yield. Market price, not par value, drives the cost of capital.

Cost of Debt

The before-tax cost of debt is the yield to maturity (YTM) on the firm's existing bonds — the rate investors currently demand to lend to the company. We use YTM (not the coupon rate) because it reflects current market conditions.

Example: ADK Industries

ADK has 30,000 20-year, 8% annual coupon bonds selling at 97.5% of par ($975). Tax rate = 21%.

Solving for YTM (using a financial calculator or Excel):

After-tax cost of debt = 8.26% × (1 − 0.21) = 6.53%
Key point: We use the current YTM, not the original coupon rate. The 8% coupon was set when the bonds were issued — it's historical. The 8.26% YTM reflects what it would cost to borrow today. For capital budgeting, we need forward-looking costs, not historical ones.

Calculating the Capital Structure Weights

The weights in WACC reflect how much of each capital source the firm uses. We use market values, not book values — because investors care about what the capital is worth today, not what it was worth when issued.

Example: ADK Industries

SourceQuantityPriceMarket ValueWeight
Common stock3M shares$32.75$98.25M49.2%
Preferred stock1M shares$72.00$72.00M36.1%
Bonds30,000 bonds$975$29.25M14.7%
Total$199.50M100%
Market vs. book values: Always use market values for WACC weights. Book values (from the balance sheet) reflect historical costs and can be wildly different from current values — especially for equity. A company whose stock has appreciated 500% since its IPO would have dramatically different market and book weights.

Putting It All Together: ADK's WACC

Now we combine all the pieces:

ComponentWeightCostWeighted Cost
Equity49.2%10.75%5.29%
Preferred stock36.1%9.72%3.51%
Debt (after-tax)14.7%6.53%0.96%
WACC9.76%

ADK must earn at least 9.76% on its investments to satisfy all its capital providers. Any project returning more than 9.76% creates value; any project returning less destroys it.

ADK's capital structure and component costs
What if we used book values instead? The weights would be different, and the WACC could be significantly off. Using the wrong weights can lead to accepting bad projects or rejecting good ones — million-dollar mistakes from a simple error.

Firm WACC vs. Project WACC

Can you use one firmwide WACC to evaluate every project? It depends on the project's risk.

When Firm WACC Works

If a new project is similar to the firm's existing operations — same industry, similar scale, comparable risk — then the firmwide WACC is an appropriate hurdle rate.

When It Fails

If a new project is riskier or safer than the firm's average, using the firmwide WACC leads to systematic errors:

Real-world example: A utility company (low risk, WACC ~6%) starts a renewable energy subsidiary (higher risk). If it evaluates the subsidiary's projects using the 6% utility WACC, it will accept projects that don't earn enough for the risk taken. The solution: use a divisional WACC that reflects the subsidiary's actual risk profile.

Divisional WACC: Right-Sizing the Hurdle

Instead of computing a WACC for every single project (impractical), firms calculate divisional WACCs for each major business line. Two approaches:

Subjective Approach

Adjust the firmwide WACC up or down based on perceived project risk:

Risk LevelDiscount Rate
Very low riskFirm WACC − 5%
Low riskFirm WACC − 2%
Same risk as firmFirm WACC
High riskFirm WACC + 3%
Very high riskFirm WACC + 7%

Simple and fast, but the adjustments can seem arbitrary — "picked out of thin air."

Objective Approach

Compute the average beta for each division, use CAPM to estimate each division's cost of equity, then build divisional WACCs from those. More precise and defensible, but harder to implement — you need to identify comparable firms for each division to estimate their betas.

The tradeoff: Subjective is quick but imprecise; objective is precise but resource-intensive. Most large firms use objective approaches for major divisions and subjective adjustments for smaller projects within those divisions.

Flotation Costs: The Cost of Raising Capital

When firms raise new capital by issuing stock or bonds, they pay flotation costs — fees to investment banks for underwriting, legal, and regulatory expenses. These costs must be incorporated somehow.

Two Methods

Method 1: Adjust WACC

  • Increase component costs to reflect flotation
  • Simple to apply
  • Tends to understate cost of new equity
  • Applies flotation cost to all capital, not just new issuance

Method 2: Adjust Project Cost

  • Add flotation costs to the project's initial investment
  • More accurate for project-specific financing
  • Violates separation principle (mixing financing and investment decisions)
  • Preferred by many practitioners
Why this matters: Flotation costs for equity can be 5–7% of the amount raised — significant enough to change project accept/reject decisions. For debt, costs are lower (1–2%). Ignoring flotation costs makes projects look better than they really are.

Key Takeaways

Congratulations! You've now mastered the cost of capital — the capstone concept that ties together bond valuation (Ch 7), stock valuation (Ch 8), risk measurement (Ch 9), and CAPM (Ch 10). WACC is the number that drives every capital budgeting decision, every valuation, and every strategic investment choice a firm makes.

Further Learning Resources

Explore these to deepen your understanding of this chapter's topics:

▶ YouTube Weighted Average Cost of Capital (WACC) Explained ▶ YouTube Cost of Equity and Cost of Debt — Session 6 📖 Investopedia WACC — Definition, Formula, and Use 📖 Investopedia Cost of Equity — How to Calculate It 📖 Investopedia Cost of Debt — Definition and Formula