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cost of-capitalintermediate25 min

How to Calculate WACC Step by Step: A Worked Example With Every Formula Explained

A complete worked example of calculating Weighted Average Cost of Capital (WACC) — covering cost of equity (CAPM), after-tax cost of debt, market-value weights, and the most common calculation mistakes that cost students exam points.

What You'll Learn

  • Calculate cost of equity using the Capital Asset Pricing Model (CAPM)
  • Calculate after-tax cost of debt from bond YTM and the corporate tax rate
  • Determine market-value weights for equity and debt
  • Combine all components into the WACC formula and interpret the result

1. The Direct Answer: WACC = (E/V)×Re + (D/V)×Rd×(1-T)

WACC (Weighted Average Cost of Capital) is the blended cost of a company's financing — the minimum return the company must earn on its existing assets to satisfy its creditors and shareholders. The formula: WACC = (E/V) × Re + (D/V) × Rd × (1 - T) Where: E = market value of equity, D = market value of debt, V = E + D (total firm value), Re = cost of equity, Rd = cost of debt, T = corporate tax rate. The (1 - T) tax adjustment on debt is critical and frequently forgotten on exams. Interest payments on debt are tax-deductible — if a company pays 6% interest and its tax rate is 25%, the after-tax cost of that debt is 6% × (1 - 0.25) = 4.5%. The government effectively subsidizes the interest expense through the tax deduction. Equity has no such tax benefit — dividends are not tax-deductible. Worked example — we will calculate WACC for a company with: 10 million shares outstanding at $50/share, $150 million in bonds with YTM of 6%, equity beta of 1.2, risk-free rate of 4%, market risk premium of 6%, and a 25% tax rate. Snap a photo of any WACC problem and FinanceIQ walks through each component step by step — Re via CAPM, after-tax Rd, market weights, and the final WACC. This content is for educational purposes only and does not constitute financial advice.

Key Points

  • WACC = (E/V)×Re + (D/V)×Rd×(1-T) — the blended cost of all financing sources
  • The (1-T) tax shield on debt is the most commonly forgotten component on exams
  • WACC is the minimum return a company must earn on assets to satisfy investors and creditors
  • Use MARKET values for E and D, not book values — this is a frequent exam trap

2. Step 1: Cost of Equity via CAPM

The Capital Asset Pricing Model: Re = Rf + β × (Rm - Rf) Where: Rf = risk-free rate (typically the 10-year Treasury yield), β = equity beta (measures the stock's volatility relative to the market), (Rm - Rf) = market risk premium (expected market return minus the risk-free rate). For our example: Rf = 4%, β = 1.2, market risk premium = 6%. Re = 4% + 1.2 × 6% = 4% + 7.2% = 11.2%. Interpretation: equity investors in this company require an 11.2% return to compensate for the risk of holding the stock. The beta of 1.2 means the stock is 20% more volatile than the market — so investors demand a premium above the market return. Common mistakes: using the total market return instead of the market risk premium (if the question says expected market return is 10% and risk-free is 4%, the MRP is 6%, not 10%), using the wrong risk-free rate (match the maturity to the investment horizon — 10-year Treasury for most WACC calculations, not the 3-month T-bill), and confusing levered and unlevered beta (use the company's actual levered beta for WACC — unlevered beta is for comparable company analysis). FinanceIQ identifies which form of CAPM a problem requires and solves it step by step — whether the question gives you the market return, the MRP, or asks you to calculate one from the other.

Key Points

  • Re = Rf + β × (Rm - Rf). With Rf=4%, β=1.2, MRP=6%: Re = 11.2%
  • Use the market risk premium (Rm - Rf), NOT the total market return
  • Match the risk-free rate maturity to the investment horizon — 10-year Treasury for most WACC calculations
  • Beta > 1 = more volatile than market. Beta < 1 = less volatile. Beta = 1 = same as market.

3. Step 2: After-Tax Cost of Debt and Market Value Weights

Cost of debt = YTM × (1 - T). The yield to maturity (YTM) on the company's bonds is the best measure of current debt cost — not the coupon rate (which reflects the rate when the bonds were issued, possibly years ago). For our example: Bond YTM = 6%, Tax rate = 25%. After-tax Rd = 6% × (1 - 0.25) = 6% × 0.75 = 4.5%. Market value of equity: E = shares outstanding × share price = 10 million × $50 = $500 million. Market value of debt: D = $150 million (in practice, this is the market price of the bonds, not the face value — but many textbook problems give you the market value directly or use face value as an approximation). Total firm value: V = E + D = $500M + $150M = $650 million. Weights: E/V = $500M / $650M = 76.9%. D/V = $150M / $650M = 23.1%. These must add to 100%. The most common weight mistake: using book values instead of market values. A company whose stock has tripled since it was issued has much higher market equity than book equity. Using book values underweights equity and overweights debt, producing a WACC that is too low. Exams almost always specify whether to use market or book — if unspecified, use market values.

Key Points

  • After-tax Rd = YTM × (1-T). With YTM=6%, T=25%: Rd = 4.5%
  • E = shares × price = $500M. D = $150M. V = $650M.
  • Weights: E/V = 76.9%, D/V = 23.1%. Must sum to 100%.
  • ALWAYS use market values for weights, not book values (unless explicitly told otherwise)

4. Step 3: Combine Into WACC and Interpret

WACC = (E/V) × Re + (D/V) × Rd × (1-T) WACC = (0.769 × 11.2%) + (0.231 × 4.5%) WACC = 8.61% + 1.04% WACC = 9.65% Interpretation: this company's blended cost of capital is 9.65%. Any project the company undertakes must earn at least 9.65% to create value for shareholders. Projects with expected returns above 9.65% increase firm value (positive NPV). Projects below 9.65% destroy value. Notice: the equity component (8.61%) dominates because equity is both a larger proportion of the capital structure (76.9%) and more expensive (11.2% vs 4.5% after-tax). This is always true — equity is more expensive than debt because equity holders bear more risk (they are last in line for claims on the company's assets). Sanity check: WACC should always fall between the after-tax cost of debt (4.5%) and the cost of equity (11.2%). If your calculated WACC is outside this range, you made an arithmetic error. This sanity check catches mistakes on exams instantly. What changes WACC: increasing leverage (more debt, less equity) generally decreases WACC because debt is cheaper than equity — but only up to a point. Beyond an optimal debt level, the increased financial risk raises both the cost of debt and the cost of equity, and WACC starts increasing again. This is the trade-off theory of capital structure. FinanceIQ solves WACC problems from any starting point — whether the question gives you CAPM inputs, bond data, or asks you to work backward from a target WACC to find the maximum acceptable cost of equity.

Key Points

  • WACC = (0.769 × 11.2%) + (0.231 × 4.5%) = 8.61% + 1.04% = 9.65%
  • Sanity check: WACC must be between after-tax Rd (4.5%) and Re (11.2%). If outside, recalculate.
  • Projects must earn > WACC to create value. Below WACC = negative NPV = destroys shareholder value.
  • More debt reduces WACC (debt is cheaper) — but only to a point. Excessive debt raises both Rd and Re.

Key Takeaways

  • WACC = (E/V)×Re + (D/V)×Rd×(1-T). The tax shield (1-T) only applies to DEBT, never equity.
  • Re via CAPM = Rf + β(Rm-Rf). Use the market risk premium, NOT the total market return.
  • Use market values for weights (E and D), not book values — the most common exam trap
  • WACC must fall between after-tax Rd and Re. If it does not, you made an error.
  • Equity cost dominates WACC because equity is both more expensive and typically a larger proportion than debt

Practice Questions

1. A company has: 5 million shares at $80, $200M in bonds with 5% YTM, beta of 0.9, risk-free rate 3.5%, MRP of 5.5%, tax rate 21%. Calculate WACC.
Re = 3.5% + 0.9 × 5.5% = 3.5% + 4.95% = 8.45%. After-tax Rd = 5% × (1-0.21) = 3.95%. E = 5M × $80 = $400M. D = $200M. V = $600M. E/V = 66.7%. D/V = 33.3%. WACC = (0.667 × 8.45%) + (0.333 × 3.95%) = 5.64% + 1.32% = 6.96%. Sanity check: 6.96% is between 3.95% and 8.45%. Correct.
2. A company's WACC is 10%. It is considering a project that costs $1M and generates $120,000/year forever (perpetuity). Should it accept?
NPV of a perpetuity = Cash Flow / Discount Rate = $120,000 / 0.10 = $1,200,000. NPV = $1,200,000 - $1,000,000 = +$200,000. The project returns more than the WACC (12% vs 10%), creating $200,000 of value. Accept the project.

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FAQs

Common questions about this topic

WACC represents the opportunity cost of the company's capital — the minimum return that debt holders and equity holders collectively require. If a project earns exactly WACC, it returns just enough to satisfy all investors (interest to debt holders, expected return to equity holders). Projects above WACC create excess value (positive NPV) for shareholders. Projects below WACC do not earn enough to justify the capital used.

Yes. Snap a photo of any WACC problem and FinanceIQ identifies the components (Re via CAPM, Rd from bond data, weights from market values), solves each step, and computes the final WACC. It handles variations: problems that give you total market return instead of MRP, book values that need converting to market, and multi-debt-source scenarios.

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