## What Is Adjusted Present Value (APV)?

The adjusted present value is the net present value (NPV) of a project or company if financed solely by equity plus the present value (PV) of any financing benefits, which are the additional effects of debt. By taking into account financing benefits, APV includes tax shields such as those provided by deductible interest.

## The Formula for APV Is

﻿\begin{aligned} &\text{Adjusted Present Value = Unlevered Firm Value + NE}\\ &\textbf{where:}\\ &\text{NE = Net effect of debt}\\ \end{aligned}﻿

The net effect of debt includes tax benefits that are created when the interest on a company's debt is tax-deductible. This benefit is calculated as the interest expense times the tax rate, and it only applies to one year of interest and tax. The present value of the interest tax shield is therefore calculated as: (tax rate * debt load * interest rate) / interest rate.

## How to Calculate Adjusted Present Value (APV)

To determine the adjusted present value:

1. Find the value of the un-levered firm.
2. Calculate the net value of debt financing.
3. Sum the value of the un-levered project or company and the net value of the debt financing.

## How to Calculate APV in Excel

An investor can use excel to build out a model to calculate the net present value of the firm and the present value of the debt.

## What Does Adjusted Present Value Tell You?

The adjusted present value helps to show an investor the benefits of tax shields resulting from one or more tax deductions of interest payments or a subsidized loan at below-market rates. For leveraged transactions, APV is preferred. In particular, leveraged buyout situations are the most effective situations in which to use the adjusted present value methodology.

The value of a debt-financed project can be higher than just an equity-financed project, as the cost of capital falls when leverage is used. Using debt can actually turn a negative NPV project into one that’s positive. NPV uses the weighted average cost of capital as the discount rate, while APV uses the cost of equity as the discount rate.

### Key Takeaways

• APV is the NPV of a project or company if financed solely by equity plus the present value of financing benefits.
• APV shows an investor the benefit of tax shields from tax-deductible interest payments.
• It is best used for leverage transactions, such as leveraged buyouts, but is more of an academic calculation.

## Example of How to Use Adjusted Present Value (APV)

In a financial projection where a base-case NPV is calculated, the sum of the present value of the interest tax shield is added to obtain the adjusted present value.

For example, assume a multi-year projection calculation finds that the present value of Company ABC’s free cash flow (FCF) plus terminal value is $100,000. The tax rate for the company is 30% and the interest rate is 7%. Its$50,000 debt load has an interest tax shield of $15,000, or ($50,000 * 30% * 7%) / 7%. Thus, the adjusted present value is $115,000, or$100,000 + \$15,000.

## The Difference Between APV and Discounted Cash Flow (DCF)

While the adjusted present value method is similar to the discounted cash flow (DCF) methodology, adjusted present cash flow does not capture taxes or other financing effects in a weighted average cost of capital (WACC) or other adjusted discount rates. Unlike WACC used in discounted cash flow, the adjusted present value seeks to value the effects of the cost of equity and cost of debt separately. The adjusted present value isn’t as prevalent as the discounted cash flow method.

## Limitations of Using Adjusted Present Value (APV)

In practice, the adjusted present value is not used as much as the discounted cash flow method. It is more of an academic calculation but is often considered to result in more accurate valuations.