Adjusted present value

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The APV was introduced by the italian mathematician Lorenzo Peccati, Professor at the Bocconi University. The method is to calculate the NPV of the project as if it is all-equity financed (so called base case). Then the base-case NPV is adjusted for the benefits of financing. Usually, the main benefit is a tax shield resulted from tax deductibility of interest payments. Another benefit can be a subsidized borrowing at sub-market rates. The APV method is especially effective when a leveraged buyout case is considered since the company is loaded with an extreme amount of debt, so the tax shield is substantial.

A tax shield is the reduction in income taxes that results from taking an allowable deduction from taxable income. For example, because interest on debt is a tax-deductible expense, taking on debt creates a tax shield. Since a tax shield is a way to save cash flows, it increases the value of the business, and it is an important aspect of business valuation.

Leveraged buyout

A leveraged buyout (LBO) is a financial transaction in which a company is purchased with a combination of equity and debt, such that the company's cash flow is the collateral used to secure and repay the borrowed money. The use of debt, which normally has a lower cost of capital than equity, serves to reduce the overall cost of financing the acquisition. The cost of debt is lower inter alia because interest payments often reduce corporate income tax liability, whereas dividend payments normally do not. This reduced cost of financing allows greater gains to accrue to the equity, and, as a result, the debt serves as a lever to increase the returns to the equity.

Technically, an APV valuation model looks similar to a standard DCF model. However, instead of WACC, cash flows would be discounted at the unlevered cost of equity, and tax shields at either the cost of debt (Myers) or following later academics also with the unlevered cost of equity. [1] APV and the standard DCF approaches should give the identical result if the capital structure remains stable.

Discounted cash flow method of valuing a project, company, or asset using the concepts of the time value of money

In finance, discounted cash flow (DCF) analysis is a method of valuing a project, company, or asset using the concepts of the time value of money. All future cash flows are estimated and discounted by using cost of capital to give their present values (PVs). The sum of all future cash flows, both incoming and outgoing, is the net present value (NPV), which is taken as the value of the cash flows in question.

The weighted average cost of capital (WACC) is the rate that a company is expected to pay on average to all its security holders to finance its assets. The WACC is commonly referred to as the firm's cost of capital. Importantly, it is dictated by the external market and not by management. The WACC represents the minimum return that a company must earn on an existing asset base to satisfy its creditors, owners, and other providers of capital, or they will invest elsewhere.

Capital structure

In finance, particularly corporate finance capital structure is the way a corporation finances its assets through some combination of equity, debt, or hybrid securities.

APV formula

APV = Unlevered NPV of Free Cash Flows and assumed Terminal Value + NPV of Interest Tax Shield and assumed Terminal Value

The discount rate used in the first part is the return on assets or return on equity if unlevered. The discount rate used in the second part is the cost of debt financing by period.

In detail:


- Taxes on EBIT

=Net Operating Profit After Tax (NOPAT)

+ Non cash items in EBIT

- Working Capital changes

- Capital Expenditures and Other Operating Investments

=Free Cash Flows

Take Present Value (PV) of FCFs discounted by Return on Assets % (also Return on Unlevered Equity %)

+ PV of terminal value

=Value of Unlevered Assets

+ Excess cash and other assets

=Value of Unlevered Firm (i.e., firm value without financing effects or benefit of interest tax shield)

+ Present Value of Debt's Periodic Interest Tax Shield discounted by Cost of Debt Financing %

=Value of Levered Firm

- Value of Debt

=Value of Levered Equity or APV

The value from the interest tax shield assumes the company is profitable enough to deduct the interest expense. If not, adjust this part for when the interest can be deducted for tax purposes.

Related Research Articles

In finance, the net present value (NPV) or net present worth (NPW) is the summation of the present (now) value of a series of present and future cash flows. Because NPV accounts for the time value of money NPV provides a method for evaluating and comparing products with cash flows spread over many years, as in loans, investments, payouts from insurance contracts plus many other applications.

Economic value added

In corporate finance, as part of fundamental analysis, economic value added (EVA) is an estimate of a firm's economic profit, or the value created in excess of the required return of the company's shareholders. EVA is the net profit less the capital charge ($) for raising the firm's capital. The idea is that value is created when the return on the firm's economic capital employed exceeds the cost of that capital. This amount can be determined by making adjustments to GAAP accounting. There are potentially over 160 adjustments but in practice only several key ones are made, depending on the company and its industry. EVA is a service mark of Stern Value Management.

The Modigliani–Miller theorem is an influential element of economic theory; it forms the basis for modern thinking on capital structure. The basic theorem states that in the absence of taxes, bankruptcy costs, agency costs, and asymmetric information, and in an efficient market, the value of a firm is unaffected by how that firm is financed. Since the value of the firm depends neither on its dividend policy nor its decision to raise capital by issuing stock or selling debt, the Modigliani–Miller theorem is often called the capital structure irrelevance principle.

In corporate finance, free cash flow (FCF) or free cash flow to firm (FCFF) is a way of looking at a business's cash flow to see what is available for distribution among all the securities holders of a corporate entity. This may be useful to parties such as equity holders, debt holders, preferred stock holders, and convertible security holders when they want to see how much cash can be extracted from a company without causing issues to its operations.

In finance, leverage is any technique involving the use of debt rather than fresh equity in the purchase of an asset, with the expectation that the after-tax profit to equity holders from the transaction will exceed the borrowing cost, frequently by several multiples, hence the effect of a lever or gear in physics, where a small force is enabled to produce a much larger reaction. Normally, the lender will set a limit on how much risk it is prepared to take and will set a limit on how much leverage it will permit, and would require the acquired asset to be provided as collateral security for the loan. For example, for a residential property the finance provider may lend up to, say, 80% of the property's market value, for a commercial property it may be 70%, while on shares it may lend up to, say, 60% or none at all on certain volatile shares.

Business valuation is a process and a set of procedures used to estimate the economic value of an owner's interest in a business. Valuation is used by financial market participants to determine the price they are willing to pay or receive to effect a sale of a business. In addition to estimating the selling price of a business, the same valuation tools are often used by business appraisers to resolve disputes related to estate and gift taxation, divorce litigation, allocate business purchase price among business assets, establish a formula for estimating the value of partners' ownership interest for buy-sell agreements, and many other business and legal purposes such as in shareholders deadlock, divorce litigation and estate contest. In some cases, the court would appoint a forensic accountant as the joint expert doing the business valuation.

Net operating profit less adjusted taxes (NOPLAT) refers to after-tax EBIT adjusted for deferred taxes, or NOPAT + net increase in deferred taxes. It represents the profits generated from a company's core operations after subtracting the income taxes related to the core operations and adding back in taxes that the company had overpaid during the accounting period. It excludes income from non-operating assets or financing such as interest and includes only profits generated by invested capital. NOPLAT is the profit available to all equity stake holders including providers of debt, equity, other financing and to shareholders. NOPLAT is distinguished from net income which is the profit available to equity holders only. NOPLAT is often used as an input in creating discounted cash flow valuation models. It is used in preference to Net Income as it removes the effects of capital structure.

Capital budgeting includes all methods that allow a rational assessment of the calculable aspects of an investment

Capital budgeting, and investment appraisal, is the planning process used to determine whether an organization's long term investments such as new machinery, replacement of machinery, new plants, new products, and research development projects are worth the funding of cash through the firm's capitalization structure. It is the process of allocating resources for major capital, or investment, expenditures. One of the primary goals of capital budgeting investments is to increase the value of the firm to the shareholders.

Return on capital employed is an accounting ratio used in finance, valuation, and accounting. It is a useful measure for comparing the relative profitability of companies after taking into account the amount of capital used.

Valuation using discounted cash flows is a method for determining the current value of a company using future cash flows adjusted for time value of money. The future cash flow set is made up of the cash flows within the determined forecast period and a continuing value that represents the cash flow stream after the forecast period. Discounted Cash Flow valuation was used in industry as early as the 1700s or 1800s, widely discussed in financial economics in the 1960s, and became widely used in U.S. Courts in the 1980s and 1990s.

The following outline is provided as an overview of and topical guide to finance:

In corporate finance, Hamada’s equation, named after Robert Hamada, is used to separate the financial risk of a levered firm from its business risk. The equation combines the Modigliani-Miller theorem with the capital asset pricing model. It is used to help determine the levered beta and, through this, the optimal capital structure of firms.

Strategic financial management is the study of finance with a long term view considering the strategic goals of the enterprise. Financial management is nowadays increasingly referred to as "Strategic Financial Management" so as to give it an increased frame of reference.

Financial ratio characteristic number

A financial ratio or accounting ratio is a relative magnitude of two selected numerical values taken from an enterprise's financial statements. Often used in accounting, there are many standard ratios used to try to evaluate the overall financial condition of a corporation or other organization. Financial ratios may be used by managers within a firm, by current and potential shareholders (owners) of a firm, and by a firm's creditors. Financial analysts use financial ratios to compare the strengths and weaknesses in various companies. If shares in a company are traded in a financial market, the market price of the shares is used in certain financial ratios.

Corporate finance area of finance dealing with the sources of funding and the capital structure of corporations

Corporate finance is an area of finance that deals with sources of funding, the capital structure of corporations, the actions that managers take to increase the value of the firm to the shareholders, and the tools and analysis used to allocate financial resources. The primary goal of corporate finance is to maximize or increase shareholder value. Although it is in principle different from managerial finance which studies the financial management of all firms, rather than corporations alone, the main concepts in the study of corporate finance are applicable to the financial problems of all kinds of firms.

In corporate finance, free cash flow to equity (FCFE) is a metric of how much cash can be distributed to the equity shareholders of the company as dividends or stock buybacks—after all expenses, reinvestments, and debt repayments are taken care of. Whereas dividends are the cash flows actually paid to shareholders, the FCFE is the cash flow simply available to shareholders. The FCFE is usually calculated as a part of DCF or LBO modelling and valuation. The FCFE is also called the levered free cash flow.


  1. Pablo, Fernández (May 2006). Levered and Unlevered Beta (PDF) (Technical report). University of Navarra. 488.