# Adjusted Present Value (APV): Definition, Calculation, And Examples

Article Summary:

Discover how Adjusted Present Value (APV) is a crucial tool in financial analysis, incorporating tax shields and financing benefits to assess project or company value accurately.

## Introduction to Adjusted Present Value (APV)

Adjusted Present Value (APV) is a financial analysis technique that provides a comprehensive view of a project or company’s value when financed with both equity and debt. It considers the net present value (NPV) of the project or company if funded solely by equity and adds the present value (PV) of any financing benefits, such as tax shields resulting from deductible interest.

### The formula for APV

The formula for APV is straightforward:
Adjusted Present Value = Unlevered Firm Value + Net Effect of Debt (NE)

Where:
NE = Net Effect of Debt

The net effect of debt includes tax benefits generated when a company’s interest payments are tax-deductible. This benefit is calculated as the interest expense multiplied by the tax rate, applicable to a single year of interest and tax. The present value of the interest tax shield is calculated as (tax rate * debt load * interest rate) / interest rate.

## Understanding the significance of APV

APV sheds light on the advantages of tax shields resulting from tax-deductible interest payments or subsidized loans at below-market rates. It is particularly useful in leveraged transactions, such as leveraged buyouts, where debt financing can lower the cost of capital. In some cases, using debt can transform a project with a negative NPV into a positive one. While NPV employs the Weighted Average Cost of Capital (WACC) as the discount rate, APV uses the cost of equity as the discount rate.

## Example of how to use Adjusted Present Value (APV)

Consider a financial projection where the base-case NPV is \$100,000. If the company has a 30% tax rate and a 7% interest rate on a \$50,000 debt load, the interest tax shield amounts to \$15,000, calculated as (\$50,000 * 30% * 7%) / 7%. Consequently, the adjusted present value would be \$115,000, or \$100,000 + \$15,000.

## Differences between APV and Discounted Cash Flow (DCF)

While APV is similar to the Discounted Cash Flow (DCF) methodology, it distinguishes itself by not incorporating taxes and other financing effects into a Weighted Average Cost of Capital (WACC) or other adjusted discount rates. Instead, APV seeks to value the effects of the cost of equity and cost of debt separately. However, it’s worth noting that APV is not as commonly used as the discounted cash flow method.

## How to calculate Adjusted Present Value (APV)

Calculating Adjusted Present Value (APV) is a crucial process in financial analysis that combines equity and debt financing to assess a project or company’s true value. Here’s a detailed breakdown of how to perform APV calculations:

### 1. Find the value of the unlevered firm

The first step in calculating APV is determining the value of the unlevered firm. This value represents the company’s worth if it were financed exclusively by equity, with no debt involved. The unlevered firm value is essentially the present value of all expected future cash flows without considering the tax benefits or costs associated with debt financing.

To find the unlevered firm value, you typically start with the company’s projected cash flows, which can include revenues, operating expenses, and capital expenditures. These cash flows are usually projected over several years, often as part of a financial model. You then discount these cash flows back to their present value using an appropriate discount rate, such as the cost of equity.

### 2. Calculate the net value of debt financing

The next step is to calculate the net value of debt financing. This involves considering the benefits of debt, specifically the tax shields resulting from tax-deductible interest payments. To calculate the interest tax shield, follow these steps:

• Determine the interest expense: This is the annual interest payment on the company’s debt.
• Identify the corporate tax rate: Find out the applicable tax rate for the company.
• Calculate the interest tax shield: Multiply the interest expense by the corporate tax rate. This represents the annual tax benefit gained from the interest payments.

### 3. Sum the value of the unlevered project or company and the net value of debt financing

Finally, to calculate the Adjusted Present Value (APV), simply add the value of the unlevered firm (from step 1) and the net value of debt financing (from step 2). This combination provides a comprehensive assessment of the project or company’s value when both equity and debt are involved in its financing.

### Calculating APV in Excel

Investors and financial analysts often use Microsoft Excel to streamline the APV calculation process. Excel allows you to create a model where you input the necessary data, such as cash flows, interest rates, and tax rates. Excel then automatically performs the calculations, giving you the APV result.

This method offers several advantages, including accuracy and efficiency. It’s especially valuable when dealing with complex financial scenarios or multiple projects with varying cash flows.

By following these steps and leveraging Excel’s capabilities, you can effectively calculate Adjusted Present Value (APV) and gain a deeper understanding of a project or company’s financial viability when considering both equity and debt financing.

## The bottom line

While Adjusted Present Value (APV) offers a valuable perspective by considering tax shield benefits and financing effects separately, it comes with certain limitations that limit its practicality. Its academic reputation, data-intensive requirements, limited applicability, and lower familiarity among analysts can discourage its use. As a result, APV is more likely to be employed selectively, primarily in scenarios where its unique advantages are evident, such as in leveraged transactions.

Weigh the Risks and Benefits

Here is a list of the benefits and drawbacks to consider when using the Adjusted Present Value (APV) method:

##### Pros
• Enhanced accuracy in valuing projects or companies.
• Separates tax shields and financing effects for a clearer picture.
• Effective in leveraged transactions, potentially turning negative NPV projects positive.
• Recognizes the impact of debt financing on project or company value.
• Flexible approach that can accommodate varying financial structures.
##### Cons
• Complex and data-intensive, requiring precise information.
• Not widely used in practice, often considered an academic calculation.
• Limited applicability; may not provide significant advantages in all scenarios.
• Requires a solid understanding of finance principles to implement effectively.
• May not be as familiar to analysts as the discounted cash flow (DCF) method.

### What is the primary advantage of using APV over DCF?

Adjusted Present Value (APV) offers the advantage of separating tax shields and financing effects, providing a clearer and more precise valuation in situations involving significant debt financing. This can be especially valuable in leveraged transactions.

### When should I use the APV method in financial analysis?

APV is most beneficial in scenarios where debt financing plays a substantial role and where there are tax shield benefits. Leveraged buyouts are a typical example of situations where APV is preferred.

### What are the data requirements for performing APV calculations?

APV calculations require detailed data, including projected cash flows, interest expenses, tax rates, and other financial variables. Precise information is essential to achieve accurate results.

### Is APV widely used in the finance industry?

No, APV is not as commonly used as the discounted cash flow (DCF) method in practice. It is often perceived as an academic calculation and may not be as familiar to finance professionals.

### Can APV be applied to projects with minimal debt involvement?

While APV can be applied in such cases, it may not provide significant advantages over simpler valuation methods like DCF when debt plays a minor role, and there are no substantial tax shield benefits.

## Key takeaways

• APV offers enhanced accuracy and clarity in financial valuation.
• It separates tax shields and financing effects, aiding in leveraged transactions.
• However, APV is complex, data-intensive, and not widely adopted.
• Its effectiveness depends on the significance of debt financing and tax shield benefits.
• Understanding finance principles is essential for effective APV implementation.
###### View Article Sources
1. Adjusted Present Value (APV) – New York University Stern School of Business
2. Chapter 17: APV (Adjusted Present Value) – Wharton School, University of Pennsylvania
3. Discounted Cash Flow (DCF) – SuperMoney