Adjusted Present Value: Unlevered NPV Plus Financing Effects

Adjusted present value splits a valuation in two: the NPV of the project as if all-equity financed, plus the present value of financing side effects such as interest tax shields, issuance costs and distress costs. The framework follows Modigliani-Miller and Myers and suits deals whose leverage changes year by year.

Adjusted Present Value (APV)APV = unlevered NPV + PV(interest tax shield) − PV(financial distress costs). Myers (1974) APV framework.
Unlevered NPV ($)NPV of free cash flows at the unlevered cost of equity
Debt Amount ($)Face value of debt outstanding
Corporate Tax Rate (%)
Cost of Debt (%)Used to discount the shield when debt is not perpetual
Probability of Distress (%)Annual or cumulative probability of financial distress
PV of Distress Costs ($)Lost sales, legal fees, fire-sale asset values
$710,000
Positive APV — the levered project is expected to add value after financing effects and distress costs.
APV build-up
ComponentValue
Unlevered value (NPV at unlevered cost of equity)$500,000
PV of interest tax shield (D × T)$1,000,000 × 25.00%+$250,000
PV of financial distress costs (p × cost)10.00% × $400,000−$40,000
Adjusted Present Value$710,000
APV before distress adjustment: $750,000.
APV formula: APV = unlevered NPV + PV(financing side effects) − PV(financial distress costs). For perpetual debt the interest tax shield is D × T. Method source: Modigliani-Miller (1958, 1963) and the Myers (1974) APV framework. Educational only — not financial advice.

What Adjusted Present Value Measures

Adjusted Present Value separates the value of a project from the value of how it is financed. Instead of blending financing effects into a single weighted-average discount rate, APV values the project as if it were all-equity financed, then adds the present value of the financing side effects — chiefly the interest tax shield — and subtracts the present value of the costs that come with leverage. This makes the source of value explicit: you can see exactly how much of the total comes from operations and how much from the tax deductibility of interest.

The framework traces back to the Modigliani-Miller propositions. In a world without taxes or distress costs, capital structure does not affect value. Once corporate taxes are introduced, debt creates value through the interest tax shield, so more leverage appears better. The counterweight is financial distress: as debt rises, the probability of costly distress rises too, and those expected costs eventually offset the tax benefit. APV makes that trade-off visible rather than burying it in a single discount rate.

Reading the Result

The build-up table shows the unlevered value, the interest tax shield, and the distress-cost adjustment. In the default example, an unlevered NPV of $500,000 plus a $1,000,000 debt × 25% tax shield of $250,000 gives $750,000 before distress. A 10% probability of distress applied to $400,000 of distress costs subtracts $40,000, leaving an APV of $710,000. A positive APV means the levered project is expected to add value; a negative APV means the financing and distress effects outweigh the operating value.

Assumptions and Limitations

This calculator assumes the tax shield is valued as D × T, which is exact only for perpetual, risk-free debt. When debt is finite or risky, the shield is discounted at the cost of debt or the unlevered cost of equity, which lowers its value. The distress adjustment is a simple expected-value term — probability multiplied by cost — and does not model the timing or the nonlinear escalation of distress costs. Real APV analyses also include other financing side effects such as subsidised loan rates, issue costs, and hedging. Treat the output as an educational illustration, not financial advice.

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How to Use

Enter the values for the scenario you are assessing. Adjusted present value splits a valuation in two: the NPV of the project as if all-equity financed, plus the present value of financing side effects such as interest tax shields, issuance costs and distress costs. The framework follows Modigliani-Miller and Myers and suits deals whose leverage changes year by year. Use the apv calculator result to inform your calculation.

Frequently Asked Questions