Advanced Financial Management · Impact of financing on investment decisions and adjusted present values

APV versus NPV: Choosing and Evaluating the Methods

Updated 11 October 2026 · Fact-checked

APV values a project in two parts: base-case NPV at the ungeared cost of equity, plus the present value of financing side effects such as the tax shield and issue costs. WACC-based NPV puts financing into one discount rate. Use APV when the project's financing differs from the firm's existing capital structure or changes over time.

Understand APV versus NPV: Choosing and Evaluating the Methods

Every investment appraisal answers one question: does the project add value after allowing for risk? The two methods answer it differently. WACC-based NPV discounts all project cash flows at one rate, the weighted average cost of capital. That rate already contains the effect of debt, mainly the tax relief on interest.

APV (adjusted present value) separates the investment decision from the financing decision. First you value the project as if it were all-equity financed. You discount the operating cash flows at the ungeared cost of equity (Keu). This gives the base-case NPV. Then you value each financing side effect separately and add it: the tax shield on debt interest, issue costs, subsidised loans and so on.

WACC works only if two things hold. The project has the same business risk as the firm, and the firm keeps the same capital structure after the project. If a project is financed with much more or much less debt than the firm's usual mix, the WACC is wrong for it. If debt is repaid on a fixed schedule, the gearing changes every year, so one WACC is wrong for every year. APV handles both cases because each financing effect is valued on its own, using the actual debt the project carries.

APV is not perfect. It needs an estimate of Keu, which is often derived through asset betas. It assumes the tax shield is fully usable and is discounted at the right rate. It usually leaves out the cost of financial distress and agency costs. WACC is quicker and familiar, but it hides the financing assumptions. In the exam you are expected to choose a method, justify the choice from the scenario facts, and state the limits of your answer.

Key rules to remember

Adjusted present value: APV = base-case NPV (at Keu) + PV of financing side effects; Financing side effects: tax shield on debt, issue costs, subsidised loan benefit. Issue costs are negative.
Ungeared cost of equity (with tax): Keu = [Ve × Keg + Vd × Kd(1 − T)] ÷ [Ve + Vd(1 − T)]; Assumes debt is risk-free-like and permanent (Modigliani and Miller with tax). Keg is the geared cost of equity.
Geared cost of equity (with tax): Keg = Keu + (Keu − Kd)(1 − T) × Vd ÷ Ve; Use to re-gear when a project has a different debt level.
Asset beta: βa = βe × Ve ÷ [Ve + Vd(1 − T)] + βd × Vd(1 − T) ÷ [Ve + Vd(1 − T)]; If debt beta is taken as zero, the second term drops out. Then Keu = Rf + βa × (Rm − Rf).
Tax shield on debt: Annual tax shield = debt × interest rate × T; Discount at the pre-tax cost of debt Kd, as ACCA examiners normally do, unless the question says otherwise.
WACC: WACC = Ke × Ve ÷ (Ve + Vd) + Kd(1 − T) × Vd ÷ (Ve + Vd); Valid only for projects with the firm's business risk and capital structure.
Subsidised loan benefit: Annual benefit = (market rate − subsidised rate) × loan × (1 − T); Discount at the market (pre-tax) cost of debt. Do this if the question gives a below-market loan.

How to solve APV versus NPV: Choosing and Evaluating the Methods questions

Use this order for any question that asks you to choose between APV and NPV, or to evaluate a project with a financing twist.

1Read the financing facts. Note the debt level, the repayment pattern, any subsidised loan or issue costs, and how they compare with the firm's existing gearing.
2Decide the method. If business risk and gearing match the firm's and stay constant, WACC-based NPV is acceptable. If gearing differs, changes over time, or special financing exists, choose APV and say why.
3For APV, find Keu. Ungear the firm's equity cost or beta using the data given, then discount the operating cash flows at Keu to get the base-case NPV.
4Value each financing side effect separately. Calculate the interest tax shield on the debt the project actually supports, and discount it at Kd. Deduct issue costs, after tax relief if the question allows it. Add any subsidy benefit.
5Add the pieces to get the APV. Accept the project if APV is positive.
6Comment on the result. State the key assumptions: debt level, tax paid in time to use the shield, Keu estimate, and costs of financial distress being ignored.
7If both methods are requested, compute the WACC-based NPV as well. Explain any difference by pointing to the financing assumptions.

Quickest way: Fast APV in three lines

When to use it: Use this when time is short and the question gives a clear debt amount, a fixed horizon and a fixed interest rate.

Line 1: base-case NPV = PV of operating cash flows at Keu minus initial outlay.
Line 2: tax shield PV = debt × interest rate × T × annuity factor at Kd for the debt life.
Line 3: subtract issue costs and add any subsidy benefit, then total. Write one sentence on the method choice and one on the main limitation. These two sentences collect the commentary and professional skills marks.

Common mistakes in APV versus NPV: Choosing and Evaluating the Methods

Discounting the base-case cash flows at the WACC instead of Keu.
WACC is the rate students use most, so it is used by habit.
Fix: In APV the base case is all-equity. Always use the ungeared cost of equity for operating cash flows.
Discounting the tax shield at Keu.
Students apply one rate to every cash flow.
Fix: The tax shield is as risky as the debt that creates it. Discount at the pre-tax cost of debt unless told otherwise.
Forgetting issue costs, or adding them as a positive.
Issue costs are treated as part of the financing, not as a cash cost.
Fix: Issue costs are a negative side effect. Compute them on the funds actually raised. Apply tax relief only if the question says they are deductible.
Taking the tax shield on the firm's total debt capacity, not on the project's own debt.
Students mix up the firm's gearing with the project's financing.
Fix: Use the debt the question assigns to the project, or the debt capacity it states, for the stated number of years.
Claiming APV is always better and giving no limitations.
Students memorise the advantages and skip the comparison.
Fix: Give a balanced view. APV is more flexible but needs Keu, assumes the shield can be used, and ignores distress costs. WACC is simpler but only valid under constant risk and gearing.
Using the geared cost of equity or equity beta as Keu.
The question gives a share beta and students plug it straight into CAPM.
Fix: Ungear first with the asset beta or Keu formula, then use the result for the base case.

Worked examples

Example 1

Delta plans a project costing $10m. It will generate after-tax operating cash flows of $3m a year for 5 years. The ungeared cost of equity is 10%. The project is financed with $4m of 5-year debt at 6% interest (the principal is repaid at the end of year 5) and the remainder from equity. Issue costs are 2% of the debt raised and are not tax deductible. Tax is 25%. Calculate the APV. Annuity factors: 5 years at 10% = 3.7908; 5 years at 6% = 4.2124.

Show the solution

Base-case NPV: PV of cash flows = 3 × 3.7908 = $11.3724m. Less outlay $10m, so base-case NPV = $1.3724m.
Annual tax shield = 4 × 6% × 25% = $0.06m.
PV of tax shield = 0.06 × 4.2124 = $0.2527m, discounted at 6%, the pre-tax cost of debt.
Issue costs = 2% × $4m = $0.08m. No tax relief, so the cost is $0.08m.
APV = 1.3724 + 0.2527 − 0.08 = $1.5451m.

Answer: APV is about $1.545m, which is positive, so the project is acceptable. The tax shield adds value and issue costs reduce it. The project is worthwhile even without financing benefits.

Example 2

Epsilon has a geared cost of equity of 12%, a pre-tax cost of debt of 5%, tax of 25% and a market value debt to equity ratio of 1 to 2. (a) Calculate the ungeared cost of equity and the current WACC. (b) Epsilon is considering a project with the same business risk, but it will be financed with 80% debt. Explain whether the WACC from (a) can be used.

Show the solution

(a) Take Ve = 2 and Vd = 1. Keu = [2 × 12% + 1 × 5% × 0.75] ÷ [2 + 1 × 0.75].
Numerator = 0.24 + 0.0375 = 0.2775. Denominator = 2.75. Keu = 0.2775 ÷ 2.75 = 10.09%.
Check: Keg = 10.09% + (10.09% − 5%) × 0.75 × 0.5 = 10.09% + 1.91% = 12%. This matches the given data.
WACC = 12% × 2/3 + 5% × 0.75 × 1/3 = 8% + 1.25% = 9.25%.
(b) The WACC of 9.25% reflects Epsilon's current gearing of one-third debt. The project is 80% debt financed, so its capital structure differs sharply. Using 9.25% would ignore the much larger tax shield and the higher financial risk to equity holders.
The better approach is APV. Discount operating cash flows at Keu of 10.09%, since business risk is the same. Then value the tax shield on the project's debt and any issue costs separately. Comment that the 80% debt level may not be sustainable, and that distress costs are excluded from the calculation.

Answer: (a) Keu is about 10.09% and WACC is 9.25%. (b) The 9.25% WACC should not be used, because project financing differs greatly from the firm's usual gearing. APV is the appropriate method.

Exam tips

Examiners usually give a clue to the method: debt different from the firm's norm, a subsidised loan, issue costs, or debt repaid on a schedule. Quote the clue in your answer when you justify APV.
Always show the three components separately: base-case NPV, tax shield, issue costs. Marks are given for each part even if the total is wrong.
Write a short discussion paragraph in Section A and B answers. List one advantage and one limitation of each method, tied to the scenario. This earns professional skills marks for analysis and commercial acumen.
State your assumptions about debt life, discount rate for the shield and tax relief on issue costs. If the question is unclear, a stated assumption protects your marks.
If asked to compare results, explain why the APV and the WACC-based NPV differ. Point to the financing assumption, not just the numbers.

Practice questions from Impact of financing on investment decisions and adjusted present values

APV versus NPV: Choosing and Evaluating the Methods: frequently asked questions

When should I use APV instead of NPV in ACCA AFM?

Use APV when the project's financing differs from the firm's existing capital structure, when gearing changes over time, or when there are special financing effects such as subsidised loans or issue costs. WACC-based NPV is acceptable when business risk and gearing stay constant.

What is the main difference between APV and WACC-based NPV?

APV discounts operating cash flows at the ungeared cost of equity and adds the value of financing side effects separately. WACC-based NPV discounts all cash flows at one rate that already includes the effect of financing. APV shows each financing effect; WACC hides them inside the rate.

What are the limitations of APV?

APV needs a reliable estimate of the ungeared cost of equity, which usually comes from ungearing a beta. It assumes the tax shield can be used in full and discounts it at a chosen rate. It generally ignores the costs of financial distress and agency costs, so it can overstate the benefit of high debt.

Which rate do I use to discount the tax shield in APV?

The usual approach is the pre-tax cost of debt, because the tax shield is about as risky as the debt interest that creates it. If the question tells you to use a different rate, follow the question. State your choice so the marker can follow your logic.