Advanced Financial Management · International investment and financing decisions

Adjusted Present Value for International Projects

Updated 11 October 2026 · Fact-checked

Adjusted present value (APV) values a project in two parts. First, find the base case NPV by discounting all-equity cash flows at the ungeared cost of equity. Then add the present value of financing side effects, such as tax shields, subsidised loans and issue costs. For overseas projects, convert foreign cash flows to your home currency first.

Understand Adjusted Present Value for International Projects

A normal NPV uses one discount rate, the WACC, which blends the cost of equity and debt. This works only if the project has the same business risk and the same financing mix as the company. Overseas projects often break both assumptions. The risk is different, and the funding may come from special sources such as a host-government loan.

APV solves this by splitting the decision in two. Step one asks: is the project worth doing if it is funded entirely by equity? That is the base case NPV. Step two asks: what does the way we finance it add or remove? Those are the financing side effects.

The base case discount rate is the ungeared cost of equity. It reflects only business risk, because there is no debt in the base case. You usually get it by ungearing the cost of equity of a proxy company in the same business, using the Modigliani and Miller formula with tax.

Financing side effects are valued separately. The main ones are the tax relief on interest (the tax shield), the benefit of a subsidised loan compared with a market-rate loan, and issue costs, which reduce value. Each is discounted at a rate that fits its own risk, usually the pre-tax cost of debt for debt-related items.

For a foreign project, forecast the cash flows in the foreign currency, convert them into your home currency at forecast exchange rates (often from purchasing power parity), and then discount. The decision rule is simple: accept if APV is positive.

Key rules to remember

APV: APV = Base case NPV + PV of financing side effects; Accept the project if APV > 0. Side effects can be negative, for example issue costs.
Base case NPV: Base case NPV = PV of all-equity after-tax cash flows at Keu − initial investment; Exclude all interest and financing flows from these cash flows.
Ungeared cost of equity (with tax): Keu = [E × Ke + D(1 − T) × Kd] ÷ [E + D(1 − T)]; Use a proxy company's market values E and D, its cost of equity Ke, its pre-tax cost of debt Kd and tax rate T. This assumes debt is risk-free-like, as the exam normally does. Use the form given in your exam formulae sheet if it differs.
Tax shield on permanent debt: PV of tax shield = D × T; For debt that stays constant for ever, discounted at the pre-tax cost of debt. For finite debt, calculate each year's interest × T and discount at the pre-tax cost of debt.
Value of a subsidised loan: Benefit = Loan amount − PV of after-tax interest and repayments, discounted at the market (pre-tax) cost of debt; Use the actual subsidised interest rate to calculate the tax relief.
Forecast exchange rate (PPP): Future spot (foreign per $1) = Spot × (1 + foreign inflation) ÷ (1 + $ inflation); Apply it year by year, using the inflation rates for each year. Foreign currency per one unit of home currency.
Issue costs: Include as a negative PV at time 0; Deduct tax relief on them only if the question says they are tax deductible.

How to solve Adjusted Present Value for International Projects questions

Use this order for any APV question. It keeps the base case clean and stops you mixing financing into the wrong place.

1Read the requirement and note the home currency. Decide whether the answer must be in home or foreign currency.
2Forecast the project's after-tax operating cash flows in the foreign currency. Include inflation, tax, capital allowances and working capital. Leave out all interest and loan flows.
3Convert each year's flow into home currency using forecast exchange rates, usually from inflation differentials. Use the rate for that year, not the spot rate.
4Find the ungeared cost of equity. Ungear a proxy company's cost of equity if it is not given. Discount the converted flows at it and deduct the initial investment to get the base case NPV.
5List every financing side effect: tax shield on debt, subsidised loan benefit, issue costs. Value each one separately, discounting at the pre-tax cost of debt for debt-related flows.
6Add the side effects to the base case NPV to get the APV. State whether it is positive.
7Conclude with a recommendation. Mention key assumptions and risks, such as exchange rate forecasts, blocked funds, country risk and whether the debt capacity assumption is realistic.

Quickest way: Three-line APV under time pressure

When to use it: Use when the question gives you the ungeared rate or a simple proxy company, and the financing is one loan with a clear amount and rate.

Write three lines: Base NPV, Tax shield / subsidy, Issue costs. Fill in the base NPV first and do not touch financing until it is done.
For permanent debt, the tax shield is simply D × T. For a finite loan, calculate annual interest × T and discount at the pre-tax cost of debt. Do not recompute the whole loan unless a subsidy is stated.
Add the three lines, circle the total and write one sentence saying accept or reject. Add one risk comment to pick up professional skills marks.

Common mistakes in Adjusted Present Value for International Projects

Discounting the base case flows at the WACC instead of the ungeared cost of equity.
Students are used to NPV questions where WACC is always the discount rate.
Fix: In APV the base case has no debt. Always use Keu, which you may need to calculate from a proxy company.
Including interest payments in the base case cash flows.
Interest appears in the question and feels like part of the project.
Fix: Keep operating cash flows free of financing. Interest only enters through the tax shield and subsidy calculations.
Discounting the tax shield at the ungeared cost of equity.
Students use one rate for everything once they have worked it out.
Fix: Tax shield and loan flows are debt-related. Discount them at the pre-tax cost of debt, unless the question says otherwise.
Converting all foreign cash flows at the spot rate.
The spot rate is the only rate given in many questions, so it feels simplest.
Fix: Forecast a rate for each year using inflation differentials (PPP) or given forward rates, then convert year by year.
Treating the whole subsidised loan as a benefit.
Students see 'cheap loan' and add the loan amount.
Fix: The benefit is only the saving compared with a market-rate loan. Discount the actual after-tax loan flows at the market rate and subtract from the amount borrowed.
Forgetting issue costs, or forgetting that they reduce APV.
They are mentioned in a single line and look like a minor detail.
Fix: Put issue costs in your side effects list from the start and deduct them at time 0, with tax relief only if allowed.

Worked examples

Example 1

A US company is evaluating a 3-year project in Country X, whose currency is the XD. Initial investment is XD 24 million. Spot rate is XD 4.00 per $1. Forecast rates are XD 4.20, 4.40 and 4.60 per $1 at the end of years 1, 2 and 3. After-tax operating cash flows are XD 12.6 million, 13.2 million and 13.8 million in years 1 to 3. The ungeared cost of equity for this business is 10%. The company will borrow $3 million at a subsidised 2% a year from the host government (interest annual, principal repaid at the end of year 3). The market rate for similar loans is 6%. Tax is 25% and gives relief on interest. Issue costs are $80,000 with no tax relief. Calculate the APV in $.

Show the solution

Convert investment: XD 24m ÷ 4.00 = $6.0m at time 0.
Convert cash flows: 12.6 ÷ 4.20 = $3.0m. 13.2 ÷ 4.40 = $3.0m. 13.8 ÷ 4.60 = $3.0m.
Discount at 10%. The 3-year annuity factor is 0.9091 + 0.8264 + 0.7513 = 2.487. PV = 3.0m × 2.487 = $7.461m.
Base case NPV = 7.461m − 6.0m = $1.461m.
Subsidised loan: annual interest = 3,000,000 × 2% = $60,000. Tax relief = 25% × 60,000 = $15,000. Net annual cost = $45,000.
Discount at the market rate of 6%. Annuity factor for 3 years = 0.9434 + 0.8900 + 0.8396 = 2.673. PV of net interest = 45,000 × 2.673 = $120,285.
PV of principal = 3,000,000 × 0.8396 = $2,518,800.
PV of loan costs = 120,285 + 2,518,800 = $2,639,085. Subsidy benefit = 3,000,000 − 2,639,085 = $360,915, about $361,000.
Issue costs = −$80,000.
APV = 1,461,000 + 361,000 − 80,000 = $1,742,000.

Answer: APV is about $1.742 million. It is positive, so the project should be accepted, subject to the reliability of the exchange rate forecasts and the risk of the host government's loan terms changing.

Example 2

A UK-based multinational is appraising a project in the US. A proxy company in the same industry has a cost of equity of 11%, a pre-tax cost of debt of 4%, tax of 25%, and a market value ratio of debt to equity of 1 : 3. The project needs $10 million at time 0 and gives after-tax cash flows, already converted to $, of $1.2 million a year in perpetuity. The company will fund $4 million with permanent debt at 4% and tax relief at 25%. Issue costs on the debt are $150,000 with no tax relief. Calculate the APV in $.

Show the solution

Ungear the proxy cost of equity. Let E = 3 and D = 1. D(1 − T) = 1 × 0.75 = 0.75. Denominator = 3 + 0.75 = 3.75.
Numerator = (3 × 11%) + (0.75 × 4%) = 33 + 3 = 36. Keu = 36 ÷ 3.75 = 9.6%.
Base case PV of perpetuity = 1.2m ÷ 0.096 = $12.5m.
Base case NPV = 12.5m − 10m = $2.5m.
Tax shield on permanent debt = D × T = 4m × 25% = $1.0m. Check: annual relief = 4m × 4% × 25% = $40,000; ÷ 0.04 = $1.0m.
Issue costs = −$0.15m.
APV = 2.5m + 1.0m − 0.15m = $3.35m.

Answer: APV is $3.35 million, which is positive, so accept. Most of the value, $2.5 million, comes from the project's own business case, which means the decision does not depend on the financing assumptions. Note that the tax shield assumes the $4 million of debt is permanent and the company has enough taxable profit to use the relief.

Exam tips

Show the three headings (base case NPV, side effects, APV) clearly. Markers give marks for correct method even if one number is wrong.
If the question gives you proxy company data, expect to ungear the cost of equity. Learn the formula and when to use pre-tax Kd. Check your exam formulae sheet.
Always state your assumption on discount rates for tax shields and loans. A one-line statement picks up marks if the question is ambiguous.
In the discussion part, compare APV with NPV. APV handles changing debt levels and special financing better, but it needs more data and assumes the side effects can be valued separately.
Use the professional skills marks. Give a clear recommendation, and comment on exchange rate risk, country risk, remittance restrictions and the reliability of any government subsidy.

Practice questions from International investment and financing decisions

Adjusted Present Value for International Projects in other exams

The same ground in other exams, if you are preparing for more than one or want another angle on it.

CA FinalAdjusted Present Value and Real Options

Adjusted Present Value for International Projects: frequently asked questions

What is the difference between NPV and APV for a foreign investment?

NPV discounts all cash flows at one rate, usually the WACC, which assumes the project's risk and financing match the company's. APV discounts operating cash flows at the ungeared cost of equity and adds financing effects separately. This makes APV better for overseas projects with their own risk and special funding.

Which discount rate is used for the APV base case?

The ungeared cost of equity, because the base case assumes all-equity finance. If it is not given, calculate it from a proxy company in the same business by removing the effect of that company's gearing.

How do I treat exchange rates in an APV question?

Forecast the foreign currency cash flows first. Then convert each year's flow into home currency using the forecast rate for that year, usually from inflation differentials or given forward rates. Discount the converted flows at the home currency ungeared cost of equity.

Which rate should I use to discount the tax shield?

Normally the pre-tax cost of debt, because the tax shield is as certain as the interest payments that create it. If the question states a different rate for the tax shield, use that rate and say so.

When should I prefer APV to NPV?

Prefer APV when financing is unusual, such as subsidised loans, when the debt level changes over time, or when the project's business risk differs from the company's. WACC-based NPV is acceptable when financing and risk stay close to the existing company profile.