WACE is a measure of the overall required return on a company’s equity capital that reflects the different types of equity the firm uses (for example, common stock, preferred stock and retained earnings) and the relative proportions of each. Instead of treating all equity as a single homogeneous source, WACE assigns each equity component its own cost and weights those costs by that component’s share of the firm’s total equity. WACE is used by analysts and managers when estimating a firm’s cost of capital and valuing projects or entire firms.
Why use WACE (intuitive view)
– Different equity types have different costs: issuing new common shares, using retained earnings or issuing preferred stock typically impose different costs to the firm.
– Weighting matters: a simple average can distort the true cost if a small but expensive equity tranche is treated equally with a large inexpensive tranche.
– Inputs to WACC: WACE is the equity-side input when calculating a firm’s weighted average cost of capital (WACC), which is widely used for capital budgeting and valuation.
How WACE relates to CAPM and other cost measures
– For common equity and retained earnings, the most common method for estimating cost is the Capital Asset Pricing Model (CAPM):
Cost of equity = Risk-free rate + Beta × (Market risk premium)
– Preferred stock cost is usually computed as preferred dividend divided by net issue price (a fixed-income style yield).
– Retained earnings are typically treated as having the same cost as internally generated common equity (i.e., CAPM result) unless there are specific opportunity-cost adjustments.
Step-by-step: How to calculate WACE (practical)
1. Identify equity components and decide on weights
• Typical components: retained earnings (RE), common stock (existing), new common stock (if planning new issuance), preferred stock (if any).
• Use market values (preferred) and market capitalization for common equity where possible. Avoid book-value weights unless warranted.
2. Estimate the cost for each component
• Cost of retained earnings / existing common equity: use CAPM (or dividend discount model if more appropriate).
• Choose an appropriate risk-free rate (e.g., long-term government bond yield).
• Determine beta (levered beta for the firm or adjust industry beta to the firm’s leverage).
• Determine the market risk premium (expected market return minus risk-free rate).
• Cost of new common stock: CAPM + adjustment for flotation costs (or use DCF with adjusted price).
• Cost of preferred stock: preferred dividend / net issuing price (D / P0 after flotation).
• Example formulae:
• CAPM: ke = rf + β × (rm − rf)
• Preferred cost: kps = Dps / Pps (after flotation)
3. Compute weights (proportions of total equity)
• Weights should reflect the market (current) proportions of each equity source: weight_i = market value of equity component_i / total market equity.
4. Multiply and sum
• WACE = Σ (weight_i × cost_i) over all equity components.
Numerical example (clear, corrected)
Assume a company has:
– Cost of common equity (CAPM) = 14.0%
– Cost of preferred stock = 12.0%
– Cost of retained earnings = 11.0%
Weights (market shares of total equity):
– Common stock: 50% (0.50)
– Preferred stock: 25% (0.25)
– Retained earnings: 25% (0.25)
Compute:
WACE = 0.50×0.14 + 0.25×0.12 + 0.25×0.11
= 0.07 + 0.03 + 0.0275
= 0.1275 → 12.75% (≈ 12.8%)
How WACE is used in practice
– Input to WACC: WACE replaces the equity cost term in WACC:
WACC = (E/V)×WACE + (D/V)×kd×(1 − tax rate)
where E is market equity, D is debt, V = E + D.
– Project appraisal and valuation: discount rate for equity cash flows (e.g., residual cash flows to equity), or as component of WACC for enterprise valuations.
– Capital structure decisions: comparing WACE with cost of debt helps management choose financing mixes.
Practical checklist and tips
– Use market values for weights whenever possible. Book values can misstate current financing mix.
– Be explicit about which equity class each weight represents (existing common vs. planned new issue).
– For CAPM:
• Use a long-term (matching project horizon) risk-free rate.
• Use a forward-looking market risk premium (not solely historical realized returns).
• Adjust beta for changes in leverage if applying an industry beta to the firm (unlever/re-lever).
– Account for flotation costs when estimating the cost of issuing new equity.
– For small firms or non-public companies, estimating market-cap and beta is harder—consider industry proxies or build-up models.
– Don’t double-count taxes: equity returns are not tax-deductible to the firm (unlike interest), so WACE is used without an after-tax adjustment.
– Document assumptions (rf, β, market premium, flotation rates) — small changes can materially affect results.
Common pitfalls
– Using book weights instead of market weights.
– Averaging costs without weighting.
– Ignoring flotation costs when issuing new equity.
– Using mismatched input horizons (short-term rf for a long-term project).
– Treating retained earnings as “free” capital; their opportunity cost is the next-best return to shareholders (usually captured by CAPM).
When WACE may be less useful
– Firms with no distinguishable retained earnings vs. existing common (i.e., all equity is common) — WACE reduces to a single cost of equity.
– Very small or private firms where market value inputs are unreliable — alternative valuation and discount rate approaches may be preferable.
Summary (key takeaways)
– WACE provides a more accurate, composition-sensitive measure of the firm’s cost of equity by weighting the different equity sources by their shares of total equity.
– Calculate each equity component’s cost separately (CAPM for common equity, dividend yield for preferred), use market-value weights, and sum the weighted costs.
– WACE is an essential input to WACC and to valuation and capital allocation decisions; correct input selection and consistent assumptions are crucial.
Source
– Investopedia: “Weighted Average Cost of Equity (WACE)” —
Editor’s note: The following topics are reserved for upcoming updates and will be expanded with detailed examples and datasets.