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Adjusted Present Value
Adjusted present value (APV) is a valuation method introduced in 1974 by Stewart Myers. The idea is to value the project as if it were all equity financed ("unleveraged"), and to then add the present value of the tax shield of debt – and other side effects. 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. APV and the standard DCF approaches should give the identical result if the capital structure remains stable. According to Myers, the value of the levered firm (Value levered, Vl) is equal to the value of the firm with no debt (Value unlevered, Vu) plus the present value of the tax savings due to the tax deductibility of interest payments, the so-called value of the tax shield (VTS). Myers proposes calculating the VTS by discounting the t ...
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Terminal Value (finance)
In finance, the terminal value (also known as “continuing value” or “horizon value” or "TV") of a security is the present value ''at a future point in time'' of all future cash flows when we expect stable growth rate forever. It is most often used in multi-stage discounted cash flow analysis, and allows for the limitation of cash flow projections to a several-year period; see Forecast period (finance). Forecasting results beyond such a period is impractical and exposes such projections to a variety of risks limiting their validity, primarily the great uncertainty involved in predicting industry and macroeconomic conditions beyond a few years. Thus, the terminal value allows for the inclusion of the value of future cash flows occurring beyond a several-year projection period while satisfactorily mitigating many of the problems of valuing such cash flows. The terminal value is calculated in accordance with a stream of projected future free cash flows in discounted cash ...
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Cost Of Equity
In finance, the cost of equity is the return (often expressed as a rate of return) a firm theoretically pays to its equity investors, i.e., shareholders, to compensate for the risk they undertake by investing their capital. Firms need to acquire capital from others to operate and grow. Individuals and organizations who are willing to provide their funds to others naturally desire to be rewarded. Just as landlords seek rents on their property, capital providers seek returns on their funds, which must be commensurate with the risk undertaken. Firms obtain capital from two kinds of sources: lenders and equity investors. From the perspective of capital providers, lenders seek to be rewarded with interest and equity investors seek dividends and/or appreciation in the value of their investment (capital gain). From a firm's perspective, they must pay for the capital it obtains from others, which is called its cost of capital. Such costs are separated into a firm's cost of debt and cost of ...
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Leverage (finance)
In finance, leverage, also known as gearing, is any technique involving borrowing funds to buy an investment. Financial leverage is named after a lever in physics, which amplifies a small input force into a greater output force. Financial leverage uses borrowed money to augment the available capital, thus increasing the funds available for (perhaps risky) investment. If successful this may generate large amounts of profit. However, if unsuccessful, there is a risk of not being able to pay back the borrowed money. Normally, a 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. It would often require the acquired asset to be provided as collateral security for the loan. Leverage can arise in a number of situations. Securities like options and futures are effectively leveraged bets between parties where the principal is implicitly borrowed and lent at interest rates of very short treasury bills.Mock, E. J., R. ...
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Leveraged Buyout
A leveraged buyout (LBO) is the acquisition of a company using a significant proportion of borrowed money (Leverage (finance), leverage) to fund the acquisition with the remainder of the purchase price funded with private equity. The assets of the acquired company are often used as collateral for the financing, along with any equity contributed by the acquiror. While corporate acquisitions often employ leverage to finance the purchase of the target, the term "leveraged buyout" is typically only employed when the acquiror is a financial sponsor (a private equity investment firm). The use of debt, which normally has a lower cost of capital than Equity (finance), equity, serves to reduce the overall cost of financing for the acquisition and enhance returns for the private equity investor. The equity investor can increase their projected returns by employing more leverage, creating incentives to maximize the proportion of debt relative to equity (i.e., debt-to-equity ratio). Whi ...
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Cost Of Capital
In economics and accounting, the cost of capital is the cost of a company's funds (both debt and equity), or from an investor's point of view is "the required rate of return on a portfolio company's existing securities". It is used to evaluate new projects of a company. It is the minimum return that investors expect for providing capital to the company, thus setting a benchmark that a new project has to meet. Basic concept For an investment to be worthwhile, the expected return on capital has to be higher than the cost of capital. Given a number of competing investment opportunities, investors are expected to put their capital to work in order to maximize the return. In other words, the cost of capital is the rate of return that capital could be expected to earn in the best alternative investment of equivalent risk; this is the opportunity cost of capital. If a project is of similar risk to a company's average business activities it is reasonable to use the company's average co ...
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Capital Structure
In corporate finance, capital structure refers to the mix of various forms of external funds, known as capital, used to finance a business. It consists of shareholders' equity, debt (borrowed funds), and preferred stock, and is detailed in the company's balance sheet. The larger the debt component is in relation to the other sources of capital, the greater financial leverage (or gearing, in the United Kingdom) the firm is said to have. Too much debt can increase the risk of the company and reduce its financial flexibility, which at some point creates concern among investors and results in a greater cost of capital. Company management is responsible for establishing a capital structure for the corporation that makes optimal use of financial leverage and holds the cost of capital as low as possible. Capital structure is an important issue in setting rates charged to customers by regulated utilities in the United States. The utility company has the right to choose any capital ...
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Valuation Using Discounted Cash Flows
Valuation using discounted cash flows (DCF valuation) is a method of estimating the current value of a company based on projected future cash flows adjusted for the time value of money. The cash flows are made up of those within the “explicit” forecast period, together with a continuing or terminal value that represents the cash flow stream after the forecast period. In several contexts, DCF valuation is referred to as the "income approach". Discounted cash flow valuation was used in industry as early as the 1700s or 1800s; it was explicated by John Burr Williams in his ''The Theory of Investment Value'' in 1938; it was widely discussed in financial economics in the 1960s; and became widely used in U.S. courts in the 1980s and 1990s. This article details the mechanics of the valuation, via a worked example; it also discusses modifications typical for startups, private equity and venture capital, corporate finance "projects", and mergers and acquisitions, and for sector- ...
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Cost Of Debt
In economics and accounting, the cost of capital is the cost of a company's funds (both debt and equity), or from an investor's point of view is "the required rate of return on a portfolio company's existing securities". It is used to evaluate new projects of a company. It is the minimum return that investors expect for providing capital to the company, thus setting a benchmark that a new project has to meet. Basic concept For an investment to be worthwhile, the expected return on capital has to be higher than the cost of capital. Given a number of competing investment opportunities, investors are expected to put their capital to work in order to maximize the return. In other words, the cost of capital is the rate of return that capital could be expected to earn in the best alternative investment of equivalent risk; this is the opportunity cost of capital. If a project is of similar risk to a company's average business activities it is reasonable to use the company's average cost ...
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Weighted Average Cost Of Capital
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.Fernandes, Nuno. 2014, Finance for Executives: A Practical Guide for Managers, p. 32. Companies raise money from a number of sources: common stock, preferred stock and related rights, straight debt, convertible debt, exchangeable debt, employee stock options, pension liabilities, executive stock options, governmental subsidies, and so on. Different securities, which represent different sources of finance, are expected to generate different returns. The WACC is calculated taking into account the relative weights ...
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Valuation (finance)
In finance, valuation is the process of determining the value of a (potential) investment, asset, or security. Generally, there are three approaches taken, namely discounted cashflow valuation, relative valuation, and contingent claim valuation. Valuations can be done for assets (for example, investments in marketable securities such as companies' shares and related rights, business enterprises, or intangible assets such as patents, data and trademarks) or for liabilities (e.g., bonds issued by a company). Valuation is a subjective exercise, and in fact, the process of valuation itself can also affect the value of the asset in question. Valuations may be needed for various reasons such as investment analysis, capital budgeting, merger and acquisition transactions, financial reporting, taxable events to determine the proper tax liability. In a business valuation context, various techniques are used to determine the (hypothetical) price that a third party would pay for a ...
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Discounted Cash Flow
The discounted cash flow (DCF) analysis, in financial analysis, is a method used to value a security, project, company, or asset, that incorporates the time value of money. Discounted cash flow analysis is widely used in investment finance, real estate development, corporate financial management, and patent valuation. Used in industry as early as the 1700s or 1800s, it was widely discussed in financial economics in the 1960s, and U.S. courts began employing the concept in the 1980s and 1990s. Application In discount cash flow analysis, 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; see aside. For further context see ; and for the mechanics see valuation using discounted cash flows, which includes modifications typical for startups, private equity and ...
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MIT OCW
MIT OpenCourseWare (MIT OCW) is an initiative of the Massachusetts Institute of Technology (MIT) to publish all of the educational materials from its undergraduate- and graduate-level courses online, freely and openly available to anyone, anywhere. The project was announced on April 4, 2001, and uses the Creative Commons Attribution-NonCommercial-ShareAlike license. The program was originally funded by the William and Flora Hewlett Foundation, the Andrew W. Mellon Foundation, and MIT. MIT OpenCourseWare is supported by MIT, corporate underwriting, major gifts, and donations from site visitors. The initiative inspired a number of other institutions to make their course materials available as open educational resources. As of May 2018, over 2,400 courses were available online. While a few of these were limited to chronological reading lists and discussion topics, a majority provided homework problems and exams (often with solutions) and lecture notes. Some courses also included i ...
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