All-Equity Net Present Value

All-equity NPV values a project's unlevered operating cash flows as if financed without debt, separating asset economics from financing effects.

All-equity net present value, also called unlevered NPV, estimates a project’s value as if it were financed entirely with equity and had no project-level debt. It discounts unlevered after-tax operating cash flows at a required return for the project’s business risk without the additional financial risk created by borrowing.

The method separates two questions: whether the operating asset creates value on a stand-alone basis, and whether financing adds benefits or costs. It is often the first component of an adjusted present value (APV) analysis.

Terminology is not standardized. A source using “all-equity NPV” may apply a different cash-flow or rate convention, so verify whether its calculation is genuinely unlevered before comparing results.

Key Takeaways

  • All-equity NPV excludes interest, principal payments, and debt tax shields from project cash flow.
  • The discount rate is the unlevered cost of capital, sometimes called the all-equity cost of capital, not the sponsor’s current levered cost of equity.
  • A positive result means the estimated operating benefits exceed the investment and required unlevered return under the assumptions.
  • Financing can still change total value through tax effects, subsidies, issuance costs, guarantees, distress risk, or restrictions.
  • Cash-flow and discount-rate definitions must describe the same project risk, currency, tax basis, and claimant level.

All-Equity NPV Formula

For a finite project:

$$ \text{All-equity NPV}=-I_0+\sum_{t=1}^{n}\frac{FCFF_t}{(1+r_U)^t}+\frac{TV_n}{(1+r_U)^n} $$

Where:

  • \(I_0\) is the initial project investment;
  • \(FCFF_t\) is unlevered free cash flow in period \(t\);
  • \(r_U\) is the unlevered required return for the project’s operating risk; and
  • \(TV_n\) is terminal, residual, or disposal value at the end of the explicit period, if applicable.

For a project with no continuing or disposal value, omit the terminal-value term. Later capital outlays should be included in their actual periods rather than forced into \(I_0\).

All-equity NPV bridge separating stand-alone project value from later financing benefits and costs.

Building Unlevered Project Cash Flow

A common free cash flow to the firm form is:

$$ FCFF=EBIT(1-T)+\text{Depreciation and amortization}-\text{CapEx}-\Delta NWC $$

Project analysis should use incremental cash flow: amounts that change if the project is accepted. Depending on the facts, include:

  • purchase, construction, installation, testing, and startup cash outlays;
  • incremental revenue and operating costs;
  • working-capital investment and later recovery;
  • taxes on project operating income and disposals;
  • maintenance and replacement expenditure;
  • opportunity costs of assets already owned;
  • side effects on existing products or operations; and
  • residual value, shutdown cost, or remediation obligations.

Exclude debt proceeds, interest, principal repayment, and the interest tax shield from the unlevered operating cash flow. Those financing effects are analyzed separately. [Sunk costs] already incurred and unaffected by the decision are also excluded, although their accounting treatment may remain visible in reported results.

Choosing the Unlevered Discount Rate

The all-equity rate should reflect the project’s operating risk without leverage. Analysts may estimate it from:

  • returns required for comparable unlevered assets;
  • peer-company betas adjusted to remove financial leverage and then matched to project risk;
  • a project-specific opportunity cost of capital; or
  • a corporate unlevered rate adjusted for material differences in country, currency, product, maturity, or cyclicality.

The unlevered cost of capital is not necessarily the company’s current cost of equity. Equity in a leveraged company bears both operating and financing risk, so using that levered equity rate to discount debt-free project cash flow can understate value.

A lower all-equity rate is not justified merely because the project will use no debt. The project still carries operating uncertainty. Likewise, a risky project should not inherit a low company-wide rate simply because a diversified sponsor can fund it.

Worked Example

Assume a project requires $5.0 million today and is expected to produce the following unlevered cash flows:

YearOperating FCFFTerminal or recovery cashTotal cash flow
0($5.0 million)
1$1.7 million$1.7 million
2$2.0 million$2.0 million
3$2.3 million$0.4 million$2.7 million

At an estimated unlevered required return of 10%, the present value of future cash flows is:

$$ \frac{\$1.7\text{m}}{1.10}+\frac{\$2.0\text{m}}{1.10^2}+\frac{\$2.7\text{m}}{1.10^3}=\$5.227\text{m} $$

All-equity NPV is therefore:

$$ \$5.227\text{m}-\$5.0\text{m}=\$0.227\text{m} $$

The project has an estimated positive stand-alone NPV of about $227,000. This result does not yet include debt tax benefits, financing fees, subsidized borrowing, guarantees, or expected distress costs.

From All-Equity NPV to Adjusted Present Value

A simplified APV bridge is:

$$ \text{APV}=\text{All-equity NPV}+PV(\text{financing benefits})-PV(\text{financing costs}) $$

Possible financing benefits include interest tax shields or below-market subsidized funding. Possible costs include issuance fees, expected distress costs, restrictive financing terms, hedging costs, and transaction expenses. Each item needs its own cash-flow and risk analysis.

Suppose the example project has $120,000 of estimated present-value tax benefits from planned debt, $35,000 of financing fees, and $25,000 of expected financing-related costs:

$$ \text{APV}=\$227{,}000+\$120{,}000-\$35{,}000-\$25{,}000=\$287{,}000 $$

The example illustrates the structure, not a universal tax-shield formula. Tax deductibility, loss carryforwards, changing debt balances, default probability, and jurisdiction can materially alter the financing value.

All-Equity NPV vs. WACC and Equity NPV

ApproachCash flowDiscount rateFinancing treatment
All-equity NPVUnlevered project FCFFUnlevered cost of capitalFinancing effects excluded initially
WACC NPVFCFF before debt serviceWACC consistent with expected leverageTax and financing mix reflected mainly in WACC
Equity NPVCash flow after debt serviceLevered cost of equityDebt proceeds, interest, principal, and equity investment reflected in equity cash flow
APVUnlevered project value plus separate financing effectsRate matched to each componentBenefits and costs valued explicitly

These approaches should produce consistent values when cash flows, taxes, leverage, and discount rates are modeled consistently. Differences often reveal mismatched assumptions rather than a superior formula.

All-equity NPV can be especially useful when leverage changes substantially over the project’s life, financing is subsidized, or financing side effects are material enough to model separately. A conventional WACC approach may be simpler when leverage is stable and the required assumptions are supportable.

Why Financing Still Matters

A positive all-equity NPV does not make financing irrelevant. Financing can affect:

  • total value through taxes and transaction costs;
  • liquidity and the ability to complete the project;
  • default probability and expected distress cost;
  • cash available to different claimants;
  • covenants, collateral, and operating flexibility;
  • currency or refinancing exposure; and
  • ownership dilution and control.

Financing also affects whether a project is feasible for a constrained company. A valuable stand-alone asset can still be rejected or delayed when the organization lacks cash, borrowing capacity, implementation resources, or permission under existing agreements.

Sensitivity and Decision Review

All-equity NPV is an estimate, not a fact. Test at least the assumptions that can materially change cash flow or the unlevered rate:

  • sales volume, price, and ramp timing;
  • operating margin and input costs;
  • construction cost and completion date;
  • working-capital requirement;
  • maintenance and replacement spending;
  • useful life and terminal value;
  • tax assumptions;
  • project risk and discount rate; and
  • abandonment, delay, or expansion options.

Use sensitivity analysis to isolate important inputs and scenario analysis to preserve relationships among volume, price, cost, timing, and financing conditions.

Common Mistakes

  • Discounting unlevered FCFF at the sponsor’s levered cost of equity.
  • Including interest expense in project cash flow while also using a financing-adjusted discount rate.
  • Counting debt proceeds as an operating project benefit.
  • Omitting working capital, maintenance CapEx, shutdown cost, or terminal recovery.
  • Using accounting profit instead of incremental cash flow.
  • Applying the current company’s risk to a project with different operating or country exposure.
  • Adding a tax shield that may not be usable because taxable income is insufficient.
  • Assuming a positive all-equity NPV guarantees funding or execution.
  • Comparing all-equity and WACC NPVs without reconciling leverage and tax assumptions.
  • Treating a positive base case as sufficient without sensitivity or scenario analysis.

Authority and Further Reading

FAQs

Is all-equity NPV the same as equity value?

No. All-equity NPV values stand-alone operating cash flow as if no debt were used. Equity value after financing reflects debt claims, financing cash flows, and the return required by levered equity holders.

Why not use the company's current cost of equity?

The current cost of equity usually includes financial risk from existing debt. All-equity project cash flow should be discounted at a rate reflecting operating risk without leverage, adjusted for material differences between the project and company.

Does positive all-equity NPV mean debt will improve the project?

No. Debt can add tax or subsidy benefits, but it can also add fees, restrictions, refinancing exposure, and expected distress costs. Financing effects require separate evidence.

This page provides general financial education, not personalized investment, financing, tax, or legal advice.

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