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    Cost of Capital

    Cost of capital is the blended rate of return a company has to clear to keep its investors happy. It's the hurdle: any project or acquisition earning more than the cost of capital creates value; anything below it destroys value. In valuation, it's the discount rate you use to bring future cash flows back to today's dollars.

    Definition

    Cost of capital is the minimum return a company must generate to satisfy everyone who funds it — both lenders and shareholders. In practice it is most often expressed as the WACC, the weighted average of the after-tax cost of debt and the cost of equity, weighted by the firm's capital structure. It represents the opportunity cost of capital: the return investors could earn on an equally risky alternative, which is why it serves as the discount rate in a discounted cash flow analysis.

    Formula

    WACC = (E/V × Re) + (D/V × Rd × (1 − Tc))

    E/V

    Equity as a percentage of total capital (equity + debt), using market values

    Re

    Cost of equity, typically from CAPM

    D/V

    Debt as a percentage of total capital

    Rd

    Pre-tax cost of debt (effective interest rate)

    Tc

    Marginal corporate tax rate — applied because interest is tax-deductible

    Why cost of capital matters

    Every dollar a company raises has a price. Lenders charge interest; equity investors demand returns for taking on risk. The cost of capital blends those prices into a single hurdle rate. It does two jobs. First, it's the benchmark for investment decisions — a company should only pursue projects whose return on invested capital exceeds its cost of capital, otherwise it's destroying shareholder value. Second, it's the engine of valuation: in a DCF, you discount projected free cash flows at the cost of capital to get present value. A higher cost of capital means future cash is worth less today, so valuations fall — which is why even a 0.5% change in WACC can swing a DCF by 10%+.

    WACC vs cost of equity vs cost of debt

    Don't confuse the three. Cost of debt is the after-tax interest rate on borrowings — cheap, because interest is tax-deductible and lenders sit ahead of equity in the capital stack. Cost of equity is the return shareholders demand, usually estimated via CAPM; it's always higher than cost of debt because equity holders are last in line and bear the most risk. WACC is the weighted blend of the two. When you value the whole firm (unlevered free cash flow → enterprise value), you discount at WACC. When you value only the equity (levered free cash flow → equity value), you discount at the cost of equity alone.

    How capital structure shifts the cost of capital

    Because debt is cheaper than equity, adding debt initially lowers WACC and the tax shield adds value — this is the core logic behind a leveraged buyout. But it's not free leverage forever: as debt rises, both lenders and equity holders perceive more bankruptcy risk, so cost of debt and cost of equity both climb. WACC follows a U-shape, hitting a minimum at the 'optimal' capital structure before rising again. This is why a heavily levered company doesn't automatically have a lower cost of capital — beyond a point, financial distress risk overwhelms the tax benefit.

    Worked Example — With Real Numbers

    A company has $600M of equity and $400M of debt (total $1,000M). Cost of equity is 10%, pre-tax cost of debt is 6%, and the tax rate is 25%. WACC = (600/1,000 × 10%) + (400/1,000 × 6% × (1 − 0.25)) = (0.6 × 10%) + (0.4 × 4.5%) = 6.0% + 1.8% = 7.8%. So the firm must earn at least 7.8% on its investments to break even for its investors, and you'd discount its unlevered free cash flows at 7.8% in a DCF.

    Key Takeaways

    1

    Cost of capital is the minimum return needed to satisfy ALL investors — it's the hurdle rate and the DCF discount rate.

    2

    WACC is the most common measure: after-tax cost of debt and cost of equity weighted by market-value capital structure.

    3

    Cost of equity always exceeds cost of debt because equity holders take more risk and are last in the capital stack.

    4

    Use market values, not book values, for the debt and equity weights.

    5

    Adding debt lowers WACC at first (tax shield, cheaper capital) but eventually raises it as distress risk grows — WACC is U-shaped.

    Common Mistakes in Interviews

    Using book values of debt and equity instead of market values for the weights.

    Forgetting to tax-effect the cost of debt — interest is deductible, so it must be multiplied by (1 − tax rate).

    Discounting levered (equity) free cash flow at WACC instead of at the cost of equity.

    Assuming more debt always lowers the cost of capital, ignoring the rising distress and bankruptcy risk.

    How Interviewers Test This

    A classic prompt is 'Why is cost of equity higher than cost of debt?' Answer: equity holders are last in the capital stack (paid after lenders in a liquidation), their returns aren't contractually guaranteed, and there's no tax shield on equity — so they demand a higher return for that incremental risk. A common follow-up: 'What happens to WACC as you add more debt?' Say it falls initially then rises (U-shape), and explain both forces.

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