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Valuation (finance)

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investment. Using the same example as above, assume the first investment opportunity is a government bond that will pay interest of 5% per year and the principal and interest payments are guaranteed by the government. Alternatively, the second investment opportunity is a bond issued by small company and that bond also pays annual interest of 5%. If given a choice between the two bonds, virtually all investors would buy the government bond rather than the small-firm bond because the first is less risky while paying the same interest rate as the riskier second bond. In this case, an investor has no incentive to buy the riskier second bond. Furthermore, in order to attract capital from investors, the small firm issuing the second bond must pay an interest rate higher than 5% that the government bond pays. Otherwise, no investor is likely to buy that bond and, therefore, the firm will be unable to raise capital. But by offering to pay an interest rate more than 5% the firm gives investors an incentive to buy a riskier bond.
1321:.) The excess earnings method has the appraiser identify the value of tangible assets, estimate an appropriate return on those tangible assets, and subtract that return from the total return for the business, leaving the "excess" return, which is presumed to come from the intangible assets. An appropriate capitalization rate is applied to the excess return, resulting in the value of those intangible assets. That value is added to the value of the tangible assets and any non-operating assets, and the total is the value estimate for the business as a whole. See 1153:". But reporting asset values on financial statements at fair values gives managers ample opportunity to slant asset values upward to artificially increase profits and their stock prices. Managers may be motivated to alter earnings upward so they can earn bonuses. Despite the risk of manager bias, equity investors and creditors prefer to know the market values of a firm's assets—rather than their historical costs—because current values give them better information to make decisions. 47: 3800: 3790: 164: 1129:(Canada) and overseen by a government regulator. Alternatively, private firms do not have government oversight—unless operating in a regulated industry—and are usually not required to have their financial statements audited. Moreover, managers of private firms often prepare their financial statements to minimize profits and, therefore, 1148:
will usually show the value of land it owns at what the firm paid for it rather than at its current market value. But under GAAP requirements, a firm must show the fair values (which usually approximates market value) of some types of assets such as financial instruments that are held for sale rather
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firms, are willing to pay for a share of the firm. They are not listed on any stock market, nor is the valuation based on their assets or profits, but on their potential for success, growth, and eventually, possible profits. Many startup companies use internal growth factors to show their potential
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It is possible and conventional for financial professionals to make their own estimates of the valuations of assets or liabilities that they are interested in. Their calculations are of various kinds including analyses of companies that focus on price-to-book, price-to-earnings, price-to-cash-flow
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Some balance sheet items are much easier to value than others. Publicly traded stocks and bonds have prices that are quoted frequently and readily available. Other assets are harder to value. For instance, private firms that have no frequently quoted price. Additionally, financial instruments that
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maintains that people are rational and averse to risk. They, therefore, need an incentive to accept risk. The incentive in finance comes in the form of higher expected returns after buying a risky asset. In other words, the more risky the investment, the more return investors want from that
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This method determines the value of a firm by observing the prices of similar companies (called "guideline companies") that sold in the market. Those sales could be shares of stock or sales of entire firms. The observed prices serve as valuation benchmarks. From the prices, one calculates
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The valuation is built on this base, with any of the standard market-, income-, or asset-based approaches employed. Often these are used in combination, providing a "triangulation" or (weighted) average. Particularly in the second case above, the company may be valued using
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The valuation of early-stage startups can be more nuanced due to their lack of established track records. One common approach is using comparative valuations, although this method can be less accurate given the uniqueness of each startup. Some methods adjust the average
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of a well-performing company exceed this floor value. Some companies, however, are worth more "dead than alive", like weakly performing companies that own many tangible assets. This method can also be used to value heterogeneous portfolios of investments, as well as
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There are commonly three pillars to valuing business entities: comparable company analyses, discounted cash flow analysis, and precedent transaction analysis. Business valuation credentials include the Chartered Business Valuator (CBV) offered by the
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There are different circumstances and purposes to value an asset (e.g., distressed firm, tax purposes, mergers and acquisitions, financial reporting). Such differences can lead to different valuation methods or different interpretations of the method
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models determine value based on the observation of market prices of 'comparable' assets, relative to a common variable like earnings, cashflows, book value or sales. This result will often be used to complement / revisit the intrinsic valuation. See
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Many price multiples can be calculated. Most are based on a financial statement element such as a firm's earnings (price-to-earnings) or book value (price-to-book value) but multiples can be based on other factors such as price-per-subscriber.
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may be applied. Regardless of the method, the process is often time-consuming and costly. If required, stock markets can give an indirect estimate of a corporation's intangible asset value: this can be reckoned as the difference between its
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include definitions for common bases of value and generally accepted practice procedures for valuing assets of all types. Regardless, the valuation itself is done generally using one or more of the following approaches:
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of pre-revenue startups based on various attributes within the same market. Average pre-money valuations in a particular region or sector, obtained from recent market deals, can also serve as reference points. During
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The approaches to valuation outlined above, are generic and will be modified for the unique positioning and characteristics of the business in question. In the below cases, however, more specific valuation-practices
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This method estimates the value of an asset based on its expected future cash flows, which are discounted to the present (i.e., the present value). This concept of discounting future money is commonly known as the
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There is no meaningful stock market for these shares. Their values are based on what a small handful of investors—usually venture capital firms, private equity firms or other corporations—are willing to pay for a
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estimates of the current value of assets or liabilities as of this minute or this day for the purposes of managing portfolios and associated financial risk (for example, within large financial firms including
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of patents (etc) to equity value; see next paragraph. Since few sales of benchmark intangible assets can ever be observed, one often values these sorts of assets using either a present value model, or by
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ratios—one or more of which used to value the firm. For example, the average price-to-earnings multiple of the guideline companies is applied to the subject firm's earnings to estimate its value.
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method, one first estimates the future cash flows from the investment and then estimates a reasonable discount rate after considering the riskiness of those cash flows and interest rates in the
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Users of valuations benefit when key information, assumptions, and limitations are disclosed to them. Then they can weigh the degree of reliability of the result and make their decision.
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This method is most appropriate in situations where there are no significant intangible assets, or when a company is voluntarily liquidating its assets as a result of ceased operations.
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of a (potential) investment, asset, or security. Generally, there are three approaches taken, namely discounted cashflow valuation, relative valuation, and contingent claim valuation.
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As required, various adjustments are then made to this result, so as to reflect characteristics of the firm external to its profitability and cash flow. These adjustments consider any
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in securities valuation takes place when the value that is assigned to securities does not reflect what the securities are actually worth, due to intentional
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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.
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Mismarking misleads investors and fund executives about how much the securities in a securities portfolio managed by a trader are worth (the securities'
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and debt are not clearly defined: "debt for a financial service firm is more akin to raw material than to a source of capital; the notion of
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from the financial firm for which he works, where his bonus is calculated by the performance of the securities portfolio that he is managing.
2794:. Special committee of the Canadian Institute Of Mining, Metallurgy and Petroleum on Valuation of Mineral Properties (CIMVAL), February 2003" 2708: 2522: 2461: 2418: 2230: 1858: 1827: 1722: 1545: 1517:, and customer relationships. As economies are becoming increasingly informational, it is recognized that there is a need for new methods to 1473: 1208: 1174: 418: 3040:"Morgan Stanley reportedly fires or places on leave at least 4 traders while investigating millions in hidden losses | Markets Insider" 3103: 727: 578: 282: 179: 64: 2935: 1912: 1463:
based on the price at which their most recent investor put money into the company. The price reflects what investors, for the most part
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context, various techniques are used to determine the (hypothetical) price that a third party would pay for a given company; while in a
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at which the stock is fairly valued relative to its projected and historical earnings, and to thus profit from related price movement.
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growth which may attribute to their valuation. The professional investors who fund startups are experts, but hardly infallible, see
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An alternative approach to the net asset value method is the excess earnings method. (This method was first described in the U.S.
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have prices that are partly dependent on theoretical models of one kind or another are difficult to value and this generates
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All valuation models and methods have limitations (e.g., degree of complexity, relevance of observations, mathematical form)
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This article is about corporate finance. For the valuation of derivatives and interest rate / fixed income instruments, see
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The price of a "Junior" mining stock, typically having one asset, will at its early stages be linked to the result of its
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than at their original cost. When a firm is required to show some of its assets at fair value, some call this process "
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the respective businesses make available further detailed financial information, usually on the completion of a
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The approach taken for a DCF valuation, is to then "remove" debt from the valuation, by discounting at the
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firms. The first is that the cash flows to a financial service firm cannot be easily estimated, since
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under development, and, at the same time, also estimate the impact on existing revenue streams due to
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Now, this is the Time for Mining Companies to Choose - Real Option Valuation or Discount Cash Flow
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is the standard of value to be used. In general, this result will be a function of the property's
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George J. Benston (July–August 2006). "Fair-value accounting: A cautionary tale from Enron".
1762:. Re the latter, a distinction is usually made based on size and financial capabilities; see 3693: 3688: 3599: 3554: 3454: 3352: 3273: 3258: 3233: 3145: 2800: 2616: 2359: 2327: 2312: 2287: 2257: 2176: 2089: 2034: 1811: 1782: 1695: 1672: 1554: 1502: 1498: 1489:, the typical valuation for startups is reported to be between $ 10 million to $ 15 million 1196: 939: 768: 480: 366: 3182: 1069:
Model inputs can vary significantly because of necessary judgment and differing assumptions
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A decision tree valuation of a pharmaceutical company with one drug in the FDA pipeline
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of financial- vs non-financial firms.) The second is that these firms operate under a
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In finance, valuation analysis is required for many reasons including tax assessment,
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Investment Valuation: Tools and Techniques for Determining the Value of Any Asset
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largely depends on the reliability of the firm's historic financial information.
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or fractional interests in businesses may be valued for various purposes such as
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calculations, and analyses of bonds that focus on credit ratings, assessments of
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the former). These models rely on mathematics rather than price observation. See
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The third-most common method of estimating the value of a company looks to the
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is based on a relation between the risk and return of some sort of investment.
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As regards listed equity, the above techniques are most often applied in the
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Process of estimating what something is worth, used in the finance industry
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A comparative study of valuation methodologies for mineral developments
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is often employed. This is in contrast to the more typical approach of
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company could shut down operations, sell off the assets, and pay the
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The Journal of The South African Institute of Mining and Metallurgy
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less capital expenditures and working capital is discounted at the
3278: 1663:, valuation is the process of determining the value or worth of a 1259: 1130: 756: 560: 342: 207: 2104: 1904: 1618: 1579: 1456: 950:, in that the value will be contingent on some other asset. See 347: 3186: 1459:, which was valued at $ 50 billion in early 2015, are assigned 934:. The most common option pricing models employed here are the 3068:
Eugene Ingoglia; Todd Fishman; Mark Daniels (April 22, 2020).
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Standards and Guidelines for Valuation of Mineral Properties
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Numbers and Narrative: Modeling, Story Telling and Investing
1830:) must incorporate regulatory limits, at least as "bounds". 2413:, Andrew Miller's Valuation of a Distressed Company p. 24. 1436:
resulting in a discount, and re the stake in question, any
2225:(Second ed.). John Wiley & Sons. pp. 9, 11. 1599:
List of largest biotechnology and pharmaceutical companies
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Financial statement recasting and credit risk assessment
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engages in mismarking, it allows him to obtain a higher
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of the assets, although some valuation scenarios (e.g.,
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Outline of finance § Discounted cash flow valuation
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Common terms for the value of an asset or liability are
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thus apply the above techniques - and here especially
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estimating the cost of recreating the asset in question
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Canadian Institute of Mining, Metallurgy and Petroleum
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Valuations may be needed for various reasons such as
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George Batta, Ananda Ganguly, Joshua Rosett (2012).
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in the portfolio, than to the individual properties.
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Outline of finance § Contingent claim valuation
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Business valuation § Option pricing approaches
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Business valuation § Option pricing approaches
71:. Unsourced material may be challenged and removed. 2645:Real-Options Valuation for a Biotechnology Company 2462:"Main Street Portfolios Are Investing in Unicorns" 1752:good understanding of the company's overall assets 1413:, and certain non-operating income/expense items. 2849: 2847: 1140:Financial statements prepared in accordance with 3174:Fordham Journal of Corporate & Financial Law 2961:"Methods of Bank Valuation: A Critical Overview" 2722: 2720: 2572:"Series A, B, C, D, and E Funding: How It Works" 2859:Australasian Institute of Mining and Metallurgy 1974:, or NAV), and thus misrepresents performance. 1794:There are two main difficulties with valuing 2183:Fuzzy pay-off method for real option valuation 3198: 2937:Analysis and Valuation of Insurance Companies 1524:Valuations here are often necessary both for 1058:Valuation requires judgment and assumptions: 721: 8: 2905: 2903: 946:. This approach is sometimes referred to as 902:Outline of finance § Relative valuation 881:models, or single-period models such as the 2392:, Accounting and Finance. Volume54, Issue1. 1879:For a multiple based valuation, similarly, 1814:may be meaningless as a consequence." (See 1777:A "Major", on the other hand, has numerous 429:International Financial Reporting Standards 3799: 3789: 3305: 3205: 3191: 3183: 2742: 2740: 2738: 2643:Kellogg, D., & Charnes, J. M. (2000). 728: 714: 142: 2982: 2980: 1707:on Valuation of Mineral Properties ) The 814:, taxable events to determine the proper 131:Learn how and when to remove this message 3131: 3129: 3097: 3095: 2883:"Inside the world of the mining analyst" 2871:Real Options Analysis of Mining Projects 2826:E.V. Lilford and R.C.A. Minnitt (2005). 2687:Valuation and price in the drug business 2661: 2659: 2364:Option Pricing Applications in Valuation 1727:. These standards stress the use of the 1532:transactions. They are also inherent in 1142:generally accepted accounting principles 3138:Journal of Accounting and Public Policy 3080:from the original on September 28, 2020 2527:InnMind: Blog for Web3 Startup Founders 2411:A Practitioner's Guide to Restructuring 2332:Beyond Inputs: Choosing the right model 2211: 1764:Mining § Corporate classifications 1476:discusses various considerations here. 1188:and it is expressed as a percentage or 154: 3114:from the original on February 26, 2021 1683:- the estimated size and grade of the 1497:Valuation models can be used to value 34:. For a discussion of the theory, see 3102:Aziz Abdel-Qader (January 31, 2020). 2219:Damodaran, Aswath (31 January 2002). 2105:Present value of growth opportunities 1474:Valuation using discounted cash flows 1195:In finance theory, the amount of the 1175:Valuation using discounted cash flows 1011:firms are valued using the theory of 419:Generally-accepted auditing standards 7: 3038:Daniel Strauss (November 29, 2019). 2294:from the original on 9 November 2020 1601:). These businesses are involved in 1137:to verify the seller's information. 69:adding citations to reliable sources 2853:Shafiee, S and Abbate, N. (2012). 2748:A Beginner's Guide to Mining Stocks 2460:Andrew Ross Sorkin (May 11, 2015). 2401:Joseph Swanson and Peter Marshall, 1376:reflecting its potential thereafter 1015:. Intangible business assets, like 848:Outline of finance § Valuation 434:International Standards on Auditing 2239:from the original on 27 March 2023 1859:discounting free cash flow to the 1389:Preliminary to the valuation, the 1127:Chartered Professional Accountants 748:is the process of determining the 25: 3026:Bank of International Settlements 2779:, minewiki.engineering.queensu.ca 2475:from the original on June 2, 2015 1754:, its operational business model 1380:as part of an Investment Strategy 1346:. To these, more than elsewhere, 1266:of the business. At a minimum, a 866:International Valuation Standards 491:Notes to the financial statements 3798: 3788: 3150:10.1016/j.jaccpubpol.2006.05.003 1870:weighted average cost of capital 1790:Valuing financial services firms 1358:Valuation of a suffering company 439:Management Accounting Principles 162: 45: 3050:from the original on 2021-04-15 2912:Valuing Financial Service Firms 2889:from the original on 2021-02-28 2442:from the original on 2017-03-16 2055:Intellectual property valuation 1758:, and an understanding of that 1655:Mineral resource classification 1278:or cost method. In general the 1115:Chartered Certified Accountants 1007:model while the liabilities of 978:, business analysis, and basic 56:needs additional citations for 3585:Debtor-in-possession financing 2972:Financial Assets and Investing 1691:and costs of extracting this. 1493:Valuation of intangible assets 1448:Valuation of a startup company 1384:realizing a profit on recovery 1163:American Society of Appraisers 930:; the second type are usually 1: 2193:Markov switching multifractal 2025:Earnings response coefficient 1826:, and valuation assumptions ( 1756:as well as key market drivers 1315:Appeals and Review Memorandum 414:Generally-accepted principles 3525:Staggered board of directors 2263:An Introduction to Valuation 1935:price to tangible book value 1824:highly regulated environment 1783:market value of each mineral 1641:Valuation of mining projects 1521:, another intangible asset. 1111:Certified Public Accountants 824:portfolio management context 3642:Accretion/dilution analysis 2667:Biotech vs. Pharmaceuticals 2163:Capital asset pricing model 2030:Efficient-market hypothesis 2010:Business valuation standard 1913:provision for credit losses 1651:Mineral resource estimation 1229:Comparable company analysis 1186:opportunity cost of capital 1169:Discounted cash flow method 755:Valuations can be done for 3851: 3605:Leveraged recapitalization 2992:"Putting a value on banks" 2731:Project Evaluation Methods 2650:Financial Analysts Journal 2409:International LLP (2008). 1995:Appraisal (disambiguation) 1949: 1760:sector of the stock market 1644: 1226: 1223:Guideline companies method 1172: 1080: 948:contingent claim valuation 845: 29: 3784: 3776:Valuation using multiples 3761:Sum-of-the-parts analysis 3731:Modigliani–Miller theorem 3590:Dividend recapitalization 3405:Secondary market offering 3006:by Prof. Aswath Damodaran 2909:Aswath Damodaran (2009). 2685:Aswath Damodaran (N.D.), 2597:Aswath Damodaran (N.D.). 2140:Sum-of-the-parts analysis 1956:Mark-to-market accounting 1939:return on tangible equity 1872:, which incorporates the 1845:less any reinvestment in 1699:generally applied by the 1327:Residual income valuation 1317:34, and later refined by 1293:purchase price allocation 1100:privately owned companies 283:Constant purchasing power 180:Constant purchasing power 3794:List of investment banks 3709:Free cash flow to equity 3535:Super-majority amendment 3460:Management due diligence 3400:Seasoned equity offering 2949:Columbia Business School 2869:Rudolf Zdravlje (2011). 2704:Brian DeChesare (N.D.), 2599:The Value of Intangibles 2432:"Investing in Potential" 2168:Arbitrage pricing theory 2159:Specific pricing models 2130:Standard cost accounting 1855:dividend based valuation 1839:free cash flow to equity 1603:research and development 1574:), i.e. effectively its 1546:incremental contribution 1442:lack of control discount 1372:restructure the business 1323:Clean surplus accounting 1311:Internal Revenue Service 1161:, ASA and CEIV from the 1092:mergers and acquisitions 1053:non-disclosure agreement 873:Absolute value models (" 614:Accounting organizations 602:People and organizations 80:"Valuation" finance 3505:Shareholder rights plan 3495:Post-merger integration 3465:Managerial entrenchment 3435:Contingent value rights 3375:Initial public offering 2746:Andrew Beattie (2020). 2706:Biotech Equity Research 1926:assets under management 1611:Contingent value rights 1555:option-based techniques 1487:Series A funding rounds 1201:Classic economic theory 885:(which, in fact, often 362:Amortization (business) 3647:Adjusted present value 3510:Special-purpose entity 3348:Direct public offering 3318:At-the-market offering 3074:Investigations Insight 2198:Multiple factor models 2120:Real options valuation 2075:Market-based valuation 2060:Intermediated research 1701:Toronto Stock Exchange 1595:pharmaceutical sectors 1370:", may intend (i) to 1348:real options valuation 1303:replacement cost new. 1254:Net asset value method 916:employee stock options 3662:Conglomerate discount 2934:Doron Nissim (2010). 2290:. 22 September 2017. 2125:Real estate appraisal 2065:Investment management 2000:Asset price inflation 1950:Further information: 1922:investment management 1645:Further information: 1564:market capitalisation 1530:intellectual property 1461:post-money valuations 1434:lack of marketability 1419:real options analysis 1374:, with the valuation 1368:distressed securities 1319:Revenue Ruling 68-609 1280:discounted cash flows 1123:Chartered Accountants 1049:merger or acquisition 1021:intellectual property 908:Option pricing models 486:Management discussion 3684:Economic value added 3679:Discounted cash flow 3021:1 March 2021 at the 2407:Kirkland & Ellis 2050:Fundamental analysis 1800:capital expenditures 1633:re the valuation of 1623:pipeline of products 1615:Industry specialists 1403:capital expenditures 1391:financial statements 1350:may be applied; see 1299:" valuation such as 1213:discounted cash flow 1107:financial statements 879:discounted cash flow 763:and related rights, 453:Financial statements 406:Accounting standards 65:improve this article 32:Mathematical finance 3835:Financial economics 3825:Valuation (finance) 3269:Senior secured debt 2405:and Lyndon Norley, 2288:"The Value of Data" 1909:net interest margin 1892:Insurance companies 1534:securities analysis 1526:financial reporting 1482:pre-money valuation 1344:investment industry 1182:time value of money 1045:real interest rates 995:and stockbrokers). 875:Intrinsic valuation 812:financial reporting 796:investment analysis 679:Earnings management 649:Positive accounting 523:Double-entry system 513:Bank reconciliation 318:Revenue recognition 3804:Outline of finance 3716:Market value added 3699:Financial modeling 3657:Business valuation 3580:Debt restructuring 3358:Follow-on offering 3343:Corporate spin-off 3301:(terms/conditions) 3218:investment banking 3169:2021-03-03 at the 2966:2023-06-14 at the 2959:Oleg Deev (2011). 2943:2019-10-20 at the 2918:2019-10-20 at the 2833:2021-02-28 at the 2775:2023-03-08 at the 2766:Queen's University 2753:2021-01-29 at the 2727:Queen's University 2711:2021-09-02 at the 2692:2022-01-19 at the 2676:, investopedia.com 2672:2021-01-24 at the 2626:2022-01-19 at the 2604:2022-01-19 at the 2469:The New York Times 2388:2022-05-18 at the 2369:2012-09-16 at the 2269:2021-07-08 at the 2188:Single-index model 2005:Business valuation 1900:actuarial reserves 1847:regulatory capital 1816:related discussion 1796:financial services 1748:resource companies 1687:in question - and 1553:. In some cases, 1544:must estimate the 1407:cost of goods sold 1083:Business valuation 1077:Business valuation 842:Valuation overview 820:business valuation 654:Sarbanes–Oxley Act 589:Sarbanes–Oxley Act 518:Debits and credits 353:Cost of goods sold 308:Matching principle 3830:Financial markets 3812: 3811: 3736:Net present value 3721:Minority interest 3652:Associate company 3628: 3627: 3595:Financial sponsor 3515:Special situation 3485:Pre-emption right 3475:Minority discount 3385:Private placement 3284:Subordinated debt 3239:Exchangeable debt 3226:Capital structure 3214:Corporate finance 2770:Project economics 2665:T. Segal (2020). 2419:978-1-905121-31-1 2232:978-0-471-41490-2 2150:Undervalued stock 2080:Minority discount 1952:Valuation control 1881:price to earnings 1828:and model outputs 1772:feasibility study 1744:mining corporates 1742:Analyzing listed 1677:fair market value 1673:fairness opinions 1647:Mineral economics 1540:- in cases where 1499:intangible assets 1453:Startup companies 1411:private companies 1364:suffering company 1333:Specialised cases 1240:price-to-earnings 834:to determine the 800:capital budgeting 769:intangible assets 738: 737: 699:Two sets of books 694:Off-balance-sheet 336:Selected accounts 273:Accounting period 141: 140: 133: 115: 16:(Redirected from 3842: 3802: 3801: 3792: 3791: 3694:Fairness opinion 3689:Enterprise value 3672:Weighted average 3600:Leveraged buyout 3455:Drag-along right 3353:Equity carve-out 3310:Equity offerings 3306: 3302: 3274:Shareholder loan 3259:Second lien debt 3254:Preferred equity 3234:Convertible debt 3207: 3200: 3193: 3184: 3177: 3162:Kent Oz (2009). 3160: 3154: 3153: 3133: 3124: 3123: 3121: 3119: 3108:Finance Magnates 3099: 3090: 3089: 3087: 3085: 3065: 3059: 3058: 3056: 3055: 3044:Business Insider 3035: 3029: 3013: 3007: 3000: 2994: 2984: 2975: 2957: 2951: 2932: 2926: 2907: 2898: 2897: 2895: 2894: 2879: 2873: 2867: 2861: 2851: 2842: 2824: 2815: 2814: 2812: 2811: 2805: 2799:. Archived from 2798: 2786: 2780: 2763: 2757: 2744: 2733: 2724: 2715: 2702: 2696: 2683: 2677: 2663: 2654: 2641: 2630: 2617:Aswath Damodaran 2614: 2608: 2595: 2586: 2585: 2583: 2582: 2576:www.startups.com 2568: 2562: 2561: 2559: 2558: 2552:www.linkedin.com 2544: 2538: 2537: 2535: 2534: 2519: 2513: 2512: 2510: 2509: 2495: 2489: 2488: 2482: 2480: 2466: 2457: 2451: 2450: 2448: 2447: 2427: 2421: 2399: 2393: 2379: 2373: 2360:Aswath Damodaran 2357: 2351: 2350: 2348: 2340: 2334: 2328:Aswath Damodaran 2325: 2319: 2313:Aswath Damodaran 2310: 2304: 2303: 2301: 2299: 2284: 2278: 2258:Aswath Damodaran 2255: 2249: 2248: 2246: 2244: 2216: 2090:Patent valuation 2035:Enterprise value 1931:Investment banks 1883:is preferred to 1812:enterprise value 1719:Southern African 1631:options on films 1627:expiring patents 1572:only hard assets 1503:patent valuation 1395:initially recast 1197:opportunity cost 1043:, and levels of 993:investment banks 924:embedded options 818:liability. In a 767:enterprises, or 730: 723: 716: 166: 143: 136: 129: 125: 122: 116: 114: 73: 49: 41: 21: 3850: 3849: 3845: 3844: 3843: 3841: 3840: 3839: 3815: 3814: 3813: 3808: 3780: 3756:Stock valuation 3751:Residual income 3667:Cost of capital 3624: 3620:Project finance 3610:High-yield debt 3566: 3545:Tag-along right 3470:Mandatory offer 3440:Control premium 3421: 3414: 3390:Public offering 3338:Bought out deal 3300: 3299: 3293: 3220: 3211: 3181: 3180: 3171:Wayback Machine 3161: 3157: 3135: 3134: 3127: 3117: 3115: 3101: 3100: 3093: 3083: 3081: 3067: 3066: 3062: 3053: 3051: 3037: 3036: 3032: 3023:Wayback Machine 3014: 3010: 3001: 2997: 2985: 2978: 2968:Wayback Machine 2958: 2954: 2945:Wayback Machine 2933: 2929: 2920:Wayback Machine 2908: 2901: 2892: 2890: 2881: 2880: 2876: 2868: 2864: 2852: 2845: 2835:Wayback Machine 2825: 2818: 2809: 2807: 2803: 2796: 2788: 2787: 2783: 2777:Wayback Machine 2764: 2760: 2755:Wayback Machine 2745: 2736: 2725: 2718: 2713:Wayback Machine 2703: 2699: 2694:Wayback Machine 2684: 2680: 2674:Wayback Machine 2664: 2657: 2653:, 56(3), 76–84. 2642: 2633: 2628:Wayback Machine 2615: 2611: 2606:Wayback Machine 2596: 2589: 2580: 2578: 2570: 2569: 2565: 2556: 2554: 2546: 2545: 2541: 2532: 2530: 2521: 2520: 2516: 2507: 2505: 2497: 2496: 2492: 2478: 2476: 2465:(Dealbook blog) 2464: 2459: 2458: 2454: 2445: 2443: 2429: 2428: 2424: 2400: 2396: 2390:Wayback Machine 2380: 2376: 2371:Wayback Machine 2358: 2354: 2346: 2342: 2341: 2337: 2326: 2322: 2311: 2307: 2297: 2295: 2286: 2285: 2281: 2271:Wayback Machine 2256: 2252: 2242: 2240: 2233: 2218: 2217: 2213: 2208: 2135:Stock valuation 2110:Price discovery 2085:Paper valuation 2015:Control premium 1991: 1972:net asset value 1958: 1948: 1820:risk management 1808:cost of capital 1804:working capital 1792: 1737:income approach 1733:market approach 1665:mining property 1657: 1643: 1607:not be approved 1495: 1465:venture capital 1450: 1438:control premium 1399:working capital 1366:, or in other " 1362:Investors in a 1360: 1335: 1276:net asset value 1256: 1236:price multiples 1231: 1225: 1217:capital markets 1177: 1171: 1109:are audited by 1085: 1079: 961: 862:intrinsic value 850: 844: 828:stock valuation 734: 705: 704: 703: 668: 660: 659: 658: 633: 625: 624: 623: 603: 595: 594: 593: 563: 553: 552: 551: 507: 497: 496: 495: 455: 445: 444: 443: 408: 398: 397: 396: 337: 329: 328: 327: 323:Unit of account 303:Historical cost 288:Economic entity 267: 259: 258: 257: 202: 194: 175:Historical cost 137: 126: 120: 117: 74: 72: 62: 50: 39: 28: 23: 22: 15: 12: 11: 5: 3848: 3846: 3838: 3837: 3832: 3827: 3817: 3816: 3810: 3809: 3807: 3806: 3796: 3785: 3782: 3781: 3779: 3778: 3773: 3771:Terminal value 3768: 3763: 3758: 3753: 3748: 3743: 3738: 3733: 3728: 3723: 3718: 3713: 3712: 3711: 3704:Free cash flow 3701: 3696: 3691: 3686: 3681: 3676: 3675: 3674: 3664: 3659: 3654: 3649: 3644: 3638: 3636: 3630: 3629: 3626: 3625: 3623: 3622: 3617: 3615:Private equity 3612: 3607: 3602: 3597: 3592: 3587: 3582: 3576: 3574: 3568: 3567: 3565: 3564: 3559: 3558: 3557: 3547: 3542: 3537: 3532: 3527: 3522: 3517: 3512: 3507: 3502: 3497: 3492: 3487: 3482: 3477: 3472: 3467: 3462: 3457: 3452: 3447: 3442: 3437: 3432: 3426: 3424: 3416: 3415: 3413: 3412: 3407: 3402: 3397: 3392: 3387: 3382: 3377: 3372: 3371: 3370: 3360: 3355: 3350: 3345: 3340: 3335: 3330: 3325: 3320: 3314: 3312: 3303: 3295: 3294: 3292: 3291: 3286: 3281: 3276: 3271: 3266: 3261: 3256: 3251: 3246: 3244:Mezzanine debt 3241: 3236: 3230: 3228: 3222: 3221: 3212: 3210: 3209: 3202: 3195: 3187: 3179: 3178: 3155: 3144:(4): 465–484. 3125: 3091: 3060: 3030: 3008: 2995: 2976: 2952: 2927: 2899: 2874: 2862: 2843: 2816: 2781: 2758: 2734: 2716: 2697: 2678: 2655: 2631: 2609: 2587: 2563: 2539: 2514: 2490: 2452: 2430:Cook, Andrew. 2422: 2403:Houlihan Lokey 2394: 2374: 2352: 2335: 2320: 2305: 2279: 2250: 2231: 2210: 2209: 2207: 2204: 2203: 2202: 2201: 2200: 2195: 2190: 2185: 2180: 2170: 2165: 2157: 2155:Valuation risk 2152: 2147: 2145:Terminal value 2142: 2137: 2132: 2127: 2122: 2117: 2112: 2107: 2102: 2097: 2092: 2087: 2082: 2077: 2072: 2070:Lipper average 2067: 2062: 2057: 2052: 2047: 2042: 2037: 2032: 2027: 2022: 2017: 2012: 2007: 2002: 1997: 1990: 1987: 1947: 1944: 1943: 1942: 1928: 1915: 1905:Banking sector 1902: 1896:embedded value 1835:cost of equity 1791: 1788: 1787: 1786: 1775: 1711:equivalent is 1689:the complexity 1642: 1639: 1591:life sciences- 1559:decision trees 1505:, but also in 1494: 1491: 1470:Dot-com bubble 1449: 1446: 1359: 1356: 1340:have developed 1334: 1331: 1255: 1252: 1227:Main article: 1224: 1221: 1173:Main article: 1170: 1167: 1151:mark-to-market 1104:Public company 1081:Main article: 1078: 1075: 1071: 1070: 1067: 1064: 1009:life assurance 1001:valuation risk 988:mark-to-market 960: 957: 956: 955: 944:lattice models 928:callable bonds 905: 897:Relative value 894: 843: 840: 810:transactions, 736: 735: 733: 732: 725: 718: 710: 707: 706: 702: 701: 696: 691: 686: 681: 676: 670: 669: 666: 665: 662: 661: 657: 656: 651: 646: 641: 635: 634: 631: 630: 627: 626: 622: 621: 616: 611: 605: 604: 601: 600: 597: 596: 592: 591: 586: 581: 576: 571: 565: 564: 559: 558: 555: 554: 550: 549: 544: 542:General ledger 535: 530: 525: 520: 515: 509: 508: 503: 502: 499: 498: 494: 493: 488: 483: 478: 473: 468: 463: 457: 456: 451: 450: 447: 446: 442: 441: 436: 431: 426: 421: 416: 410: 409: 404: 403: 400: 399: 395: 394: 389: 384: 379: 374: 369: 364: 355: 350: 345: 339: 338: 335: 334: 331: 330: 326: 325: 320: 315: 310: 305: 300: 295: 290: 285: 280: 275: 269: 268: 265: 264: 261: 260: 256: 255: 250: 245: 240: 235: 230: 225: 220: 215: 210: 204: 203: 200: 199: 196: 195: 193: 192: 187: 182: 177: 171: 168: 167: 159: 158: 152: 151: 139: 138: 53: 51: 44: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 3847: 3836: 3833: 3831: 3828: 3826: 3823: 3822: 3820: 3805: 3797: 3795: 3787: 3786: 3783: 3777: 3774: 3772: 3769: 3767: 3764: 3762: 3759: 3757: 3754: 3752: 3749: 3747: 3744: 3742: 3739: 3737: 3734: 3732: 3729: 3727: 3724: 3722: 3719: 3717: 3714: 3710: 3707: 3706: 3705: 3702: 3700: 3697: 3695: 3692: 3690: 3687: 3685: 3682: 3680: 3677: 3673: 3670: 3669: 3668: 3665: 3663: 3660: 3658: 3655: 3653: 3650: 3648: 3645: 3643: 3640: 3639: 3637: 3635: 3631: 3621: 3618: 3616: 3613: 3611: 3608: 3606: 3603: 3601: 3598: 3596: 3593: 3591: 3588: 3586: 3583: 3581: 3578: 3577: 3575: 3573: 3569: 3563: 3560: 3556: 3553: 3552: 3551: 3548: 3546: 3543: 3541: 3538: 3536: 3533: 3531: 3528: 3526: 3523: 3521: 3518: 3516: 3513: 3511: 3508: 3506: 3503: 3501: 3498: 3496: 3493: 3491: 3488: 3486: 3483: 3481: 3478: 3476: 3473: 3471: 3468: 3466: 3463: 3461: 3458: 3456: 3453: 3451: 3448: 3446: 3443: 3441: 3438: 3436: 3433: 3431: 3428: 3427: 3425: 3423: 3417: 3411: 3408: 3406: 3403: 3401: 3398: 3396: 3393: 3391: 3388: 3386: 3383: 3381: 3378: 3376: 3373: 3369: 3366: 3365: 3364: 3361: 3359: 3356: 3354: 3351: 3349: 3346: 3344: 3341: 3339: 3336: 3334: 3331: 3329: 3326: 3324: 3323:Book building 3321: 3319: 3316: 3315: 3313: 3311: 3307: 3304: 3296: 3290: 3287: 3285: 3282: 3280: 3277: 3275: 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Vol.2, No.3 2973: 2969: 2965: 2962: 2956: 2953: 2950: 2946: 2942: 2939: 2938: 2931: 2928: 2925: 2921: 2917: 2914: 2913: 2906: 2904: 2900: 2888: 2884: 2878: 2875: 2872: 2866: 2863: 2860: 2856: 2850: 2848: 2844: 2840: 2836: 2832: 2829: 2823: 2821: 2817: 2806:on 2013-12-12 2802: 2795: 2793: 2785: 2782: 2778: 2774: 2771: 2767: 2762: 2759: 2756: 2752: 2749: 2743: 2741: 2739: 2735: 2732: 2728: 2723: 2721: 2717: 2714: 2710: 2707: 2701: 2698: 2695: 2691: 2688: 2682: 2679: 2675: 2671: 2668: 2662: 2660: 2656: 2652: 2651: 2646: 2640: 2638: 2636: 2632: 2629: 2625: 2622: 2618: 2613: 2610: 2607: 2603: 2600: 2594: 2592: 2588: 2577: 2573: 2567: 2564: 2553: 2549: 2543: 2540: 2528: 2524: 2518: 2515: 2504: 2500: 2494: 2491: 2487: 2474: 2470: 2463: 2456: 2453: 2441: 2437: 2433: 2426: 2423: 2420: 2416: 2412: 2408: 2404: 2398: 2395: 2391: 2387: 2384: 2378: 2375: 2372: 2368: 2365: 2361: 2356: 2353: 2349:. IPEV. 2022. 2345: 2339: 2336: 2333: 2329: 2324: 2321: 2318: 2314: 2309: 2306: 2293: 2289: 2283: 2280: 2277:teaching note 2276: 2272: 2268: 2265: 2264: 2259: 2254: 2251: 2238: 2234: 2228: 2224: 2223: 2215: 2212: 2205: 2199: 2196: 2194: 2191: 2189: 2186: 2184: 2181: 2178: 2174: 2173:Black–Scholes 2171: 2169: 2166: 2164: 2161: 2160: 2158: 2156: 2153: 2151: 2148: 2146: 2143: 2141: 2138: 2136: 2133: 2131: 2128: 2126: 2123: 2121: 2118: 2116: 2113: 2111: 2108: 2106: 2103: 2101: 2100:Present value 2098: 2096: 2093: 2091: 2088: 2086: 2083: 2081: 2078: 2076: 2073: 2071: 2068: 2066: 2063: 2061: 2058: 2056: 2053: 2051: 2048: 2046: 2043: 2041: 2038: 2036: 2033: 2031: 2028: 2026: 2023: 2021: 2018: 2016: 2013: 2011: 2008: 2006: 2003: 2001: 1998: 1996: 1993: 1992: 1988: 1986: 1984: 1980: 1975: 1973: 1968: 1966: 1962: 1957: 1953: 1945: 1940: 1936: 1932: 1929: 1927: 1923: 1919: 1916: 1914: 1910: 1906: 1903: 1901: 1897: 1893: 1890: 1889: 1888: 1886: 1882: 1877: 1875: 1871: 1867: 1863: 1862: 1856: 1852: 1851:excess return 1848: 1844: 1840: 1836: 1831: 1829: 1825: 1821: 1817: 1813: 1809: 1805: 1801: 1797: 1789: 1784: 1780: 1776: 1773: 1769: 1768: 1767: 1765: 1761: 1757: 1753: 1749: 1745: 1740: 1738: 1734: 1730: 1729:cost approach 1726: 1725: 1720: 1716: 1715: 1710: 1706: 1702: 1698: 1697: 1692: 1690: 1686: 1682: 1678: 1674: 1670: 1666: 1662: 1656: 1652: 1648: 1640: 1638: 1636: 1632: 1628: 1624: 1620: 1616: 1612: 1608: 1604: 1600: 1596: 1592: 1588: 1583: 1581: 1577: 1573: 1569: 1565: 1560: 1556: 1552: 1547: 1543: 1539: 1536:- listed and 1535: 1531: 1527: 1522: 1520: 1516: 1515:trade secrets 1512: 1508: 1504: 1500: 1492: 1490: 1488: 1483: 1477: 1475: 1471: 1466: 1462: 1458: 1454: 1447: 1445: 1443: 1439: 1435: 1430: 1428: 1424: 1420: 1414: 1412: 1408: 1404: 1400: 1396: 1392: 1387: 1385: 1381: 1377: 1373: 1369: 1365: 1357: 1355: 1353: 1349: 1345: 1341: 1332: 1330: 1328: 1324: 1320: 1316: 1312: 1307: 1306: 1302: 1298: 1294: 1290: 1286: 1281: 1277: 1273: 1269: 1265: 1261: 1253: 1251: 1247: 1245: 1244:price-to-book 1241: 1237: 1230: 1222: 1220: 1218: 1214: 1210: 1205: 1202: 1198: 1193: 1191: 1190:discount rate 1187: 1183: 1176: 1168: 1166: 1164: 1160: 1159:CBV Institute 1154: 1152: 1147: 1146:balance sheet 1143: 1138: 1136: 1135:due diligence 1132: 1128: 1124: 1120: 1116: 1112: 1108: 1105: 1101: 1097: 1093: 1089: 1084: 1076: 1074: 1068: 1065: 1061: 1060: 1059: 1056: 1054: 1050: 1046: 1042: 1038: 1034: 1033:present value 1028: 1026: 1022: 1018: 1014: 1013:present value 1010: 1006: 1005:Black–Scholes 1002: 996: 994: 989: 985: 981: 977: 974: 970: 966: 958: 953: 949: 945: 941: 937: 936:Black–Scholes 933: 929: 925: 921: 917: 913: 909: 906: 903: 898: 895: 892: 888: 884: 880: 876: 872: 871: 870: 867: 863: 859: 855: 849: 841: 839: 837: 833: 829: 825: 821: 817: 813: 809: 805: 801: 797: 792: 790: 786: 782: 778: 774: 770: 766: 762: 758: 753: 751: 747: 743: 731: 726: 724: 719: 717: 712: 711: 709: 708: 700: 697: 695: 692: 690: 687: 685: 684:Error account 682: 680: 677: 675: 672: 671: 664: 663: 655: 652: 650: 647: 645: 642: 640: 637: 636: 629: 628: 620: 617: 615: 612: 610: 607: 606: 599: 598: 590: 587: 585: 582: 580: 577: 575: 572: 570: 567: 566: 562: 557: 556: 548: 547:Trial balance 545: 543: 539: 536: 534: 531: 529: 528:FIFO and LIFO 526: 524: 521: 519: 516: 514: 511: 510: 506: 501: 500: 492: 489: 487: 484: 482: 479: 477: 474: 472: 469: 467: 466:Balance sheet 464: 462: 461:Annual report 459: 458: 454: 449: 448: 440: 437: 435: 432: 430: 427: 425: 422: 420: 417: 415: 412: 411: 407: 402: 401: 393: 390: 388: 385: 383: 380: 378: 375: 373: 370: 368: 365: 363: 359: 356: 354: 351: 349: 346: 344: 341: 340: 333: 332: 324: 321: 319: 316: 314: 311: 309: 306: 304: 301: 299: 298:Going concern 296: 294: 291: 289: 286: 284: 281: 279: 276: 274: 271: 270: 263: 262: 254: 251: 249: 246: 244: 241: 239: 236: 234: 231: 229: 226: 224: 221: 219: 216: 214: 211: 209: 206: 205: 198: 197: 191: 188: 186: 183: 181: 178: 176: 173: 172: 170: 169: 165: 161: 160: 157: 153: 149: 145: 144: 135: 132: 124: 113: 110: 106: 103: 99: 96: 92: 89: 85: 82: â€“  81: 77: 76:Find sources: 70: 66: 60: 59: 54:This article 52: 48: 43: 42: 37: 36:Asset pricing 33: 19: 3746:Real options 3633: 3562:Tender offer 3422:acquisitions 3410:Underwriting 3395:Rights issue 3298:Transactions 3173: 3158: 3141: 3137: 3118:November 15, 3116:. 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Retrieved 2221: 2214: 2045:Film finance 2040:Equity value 2020:Depreciation 1979:rogue trader 1976: 1969: 1967:mispricing. 1959: 1878: 1874:cost of debt 1860: 1832: 1793: 1741: 1723: 1713: 1709:Australasian 1694: 1693: 1658: 1635:film studios 1584: 1523: 1501:such as for 1496: 1478: 1451: 1431: 1427:Merton model 1415: 1388: 1361: 1336: 1314: 1308: 1295:) imply an " 1257: 1248: 1238:such as the 1232: 1206: 1194: 1178: 1155: 1139: 1086: 1072: 1057: 1037:default risk 1029: 997: 962: 932:real options 883:Gordon model 854:market value 851: 835: 793: 754: 745: 739: 619:Luca Pacioli 540: / 360: / 358:Depreciation 266:Key concepts 238:Governmental 127: 118: 108: 101: 94: 87: 75: 63:Please help 58:verification 55: 18:Asset prices 3520:Squeeze-out 3490:Proxy fight 3420:Mergers and 3333:Bought deal 3264:Senior debt 3004:eqexret.xls 2841:, Jan. 2005 2503:www.svb.com 1746:(and other 1621:- to the 1578:; see also 1570:(including 1401:, deferred 1342:within the 1301:depreciated 1289:liquidation 1264:liabilities 1041:risk premia 980:bookkeeping 976:settlements 942:models and 920:investments 887:"telescope" 830:is used by 808:acquisition 785:liabilities 632:Development 609:Accountants 505:Bookkeeping 424:Convergence 382:Liabilities 313:Materiality 201:Major types 3819:Categories 3766:Tax shield 3726:Mismarking 3530:Stock swap 3480:Pitch book 3450:Divestment 3328:Bookrunner 3249:Pari passu 3054:2020-11-15 2924:Stern, NYU 2893:2021-02-12 2810:2013-12-05 2581:2023-10-21 2557:2023-10-21 2533:2023-10-21 2508:2023-10-21 2446:2017-03-15 2298:6 November 2206:References 1965:fraudulent 1961:Mismarking 1946:Mismarking 1843:net income 1779:properties 1735:, and the 1568:book value 1519:value data 1507:copyrights 1285:nonprofits 1211:using the 1125:(UK), and 1096:securities 1094:, sale of 1088:Businesses 984:accounting 858:fair value 846:See also: 783:) or for 781:trademarks 667:Misconduct 293:Fair value 243:Management 185:Management 156:Accounting 121:March 2009 91:newspapers 3741:Pure play 3634:Valuation 3500:Sell side 3363:Greenshoe 3002:See e.g. 2436:five23.io 2095:PEG ratio 1885:EV/EBITDA 1681:"reserve" 1382:aimed at 1272:creditors 1209:valuation 746:valuation 689:Hollywood 569:Financial 471:Cash-flow 228:Financial 3572:Leverage 3550:Takeover 3445:Demerger 3430:Buy side 3167:Archived 3112:Archived 3078:Archived 3048:Archived 3019:Archived 2990:(2022). 2964:Archived 2941:Archived 2916:Archived 2887:Archived 2831:Archived 2773:Archived 2768:(2014). 2751:Archived 2729:(2010). 2709:Archived 2690:Archived 2670:Archived 2624:Archived 2619:(N.D.), 2602:Archived 2473:Archived 2440:Archived 2386:Archived 2367:Archived 2330:(N.D.). 2315:(2014). 2292:Archived 2267:Archived 2260:(2012). 2237:Archived 1989:See also 1818:re. the 1587:biotech- 1576:goodwill 1566:and its 1542:analysts 1511:software 1455:such as 1017:goodwill 926:such as 912:warrants 832:analysts 771:such as 765:business 674:Creative 644:Research 574:Internal 561:Auditing 377:Goodwill 372:Expenses 223:Forensic 148:a series 146:Part of 3555:Reverse 3540:Synergy 3380:Pre-IPO 3368:Reverse 3289:Warrant 2988:et. al. 2479:May 12, 2243:1 March 2177:options 2115:Pricing 1977:When a 1924:firms: 1918:Wealth- 1837:either 1717:; the 1685:deposit 1538:private 1268:solvent 1113:(USA), 1063:results 973:divorce 969:estates 787:(e.g., 773:patents 742:finance 639:History 533:Journal 392:Revenue 278:Accrual 105:scholar 2486:stake. 2417:  2229:  1866:EBITDA 1864:where 1724:SAMVAL 1714:VALMIN 1696:CIMVal 1661:mining 1653:, and 1297:in-use 1260:assets 1207:For a 940:Merton 918:, and 860:, and 804:merger 761:shares 757:assets 584:Report 538:Ledger 481:Income 476:Equity 387:Profit 367:Equity 343:Assets 248:Social 213:Budget 107:  100:  93:  86:  78:  3279:Stock 2804:(PDF) 2797:(PDF) 2347:(PDF) 2175:(for 1983:bonus 1849:) or 1609:(see 1597:(see 1131:taxes 1121:) or 965:wills 959:Usage 922:with 836:price 789:bonds 750:value 579:Firms 208:Audit 112:JSTOR 98:books 3216:and 3120:2020 3086:2020 2481:2015 2415:ISBN 2300:2020 2245:2023 2227:ISBN 1954:and 1937:and 1920:and 1911:and 1898:and 1861:Firm 1853:; a 1810:and 1669:IPOs 1619:rNPV 1593:and 1580:PVGO 1528:and 1457:Uber 1425:and 1393:are 1313:'s 1262:and 1119:ACCA 1031:and 1025:data 1019:and 982:and 967:and 806:and 779:and 777:data 348:Cash 233:Fund 218:Cost 84:news 3146:doi 2275:NYU 1721:is 1659:In 1613:). 1557:or 1440:or 1242:or 816:tax 740:In 253:Tax 190:Tax 67:by 3821:: 3142:25 3140:. 3128:^ 3110:. 3106:. 3094:^ 3076:. 3072:. 3046:. 3042:. 2979:^ 2970:. 2947:, 2922:, 2902:^ 2885:. 2857:. 2846:^ 2837:, 2819:^ 2737:^ 2719:^ 2658:^ 2647:. 2634:^ 2590:^ 2574:. 2550:. 2525:. 2501:. 2483:. 2471:. 2467:. 2438:. 2434:. 2362:. 2273:. 2235:. 1933:: 1907:: 1894:: 1876:. 1802:, 1766:. 1731:, 1671:, 1649:, 1637:. 1589:, 1582:. 1513:, 1509:, 1472:. 1429:. 1405:, 1386:. 1354:. 1329:. 1325:, 1192:. 1055:. 1039:, 971:, 914:, 856:, 826:, 802:, 798:, 775:, 744:, 150:on 3206:e 3199:t 3192:v 3176:. 3152:. 3148:: 3122:. 3088:. 3057:. 3028:. 2896:. 2813:. 2790:" 2584:. 2560:. 2536:. 2511:. 2449:. 2302:. 2247:. 2179:) 1941:. 1841:( 1117:( 954:. 938:- 904:. 893:. 729:e 722:t 715:v 134:) 128:( 123:) 119:( 109:· 102:· 95:· 88:· 61:. 38:. 20:)

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