Economic Value AddedFrom Wikipedia, the free encyclopedia
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In corporate finance, Economic Value Added or EVA, is an estimate of a firm's economic profit – being the
value created in excess of the required return of thecompany's investors (being shareholders and debt
holders). Quite simply, EVA is the profit earned by the firm less the cost of financing the firm's capital. The
idea is that value is created when the return on the firm's economic capital employed is greater than the
cost of that capital; see Corporate finance: working capital management. This amount can be determined by
making adjustments to GAAP accounting. There are potentially over 160 adjustments that could be made
but in practice only five or seven key ones are made, depending on the company and the industry it
competes in.
Contents
[hide]
1 Calculating EVA
2 Comparison with other approaches
3 Relationship to market value added
4 Integrating EVA and PBC
5 See also
6 References
7 External links
[edit]Calculating EVA
EVA is net operating profit after taxes (or NOPAT) less a capital charge, the latter being the product of the
cost of capital and the economic capital. The basic formula is:
where:
, is the Return on Invested Capital (ROIC);
is the weighted average cost of capital (WACC);
is the economic capital employed;
NOPAT is the net operating profit after tax, with adjustments and translations, generally for the
amortization of goodwill, the capitalization of brand advertising and others non-cash items.
EVA Calculation:
EVA = net operating profit after taxes – a capital charge [the residual income method]
therefore EVA = NOPAT – (c × capital), or alternatively
EVA = (r x capital) – (c × capital) so that
EVA = (r-c) × capital [the spread method, or excess return method]
where:
r = rate of return, and
c = cost of capital, or the Weighted Average Cost of
Capital (WACC).
NOPAT is profits derived from a company’s operations after cash taxes but before financing costs and
non-cash bookkeeping entries. It is the total pool of profits available to provide a cash return to those
who provide capital to the firm.
Capital is the amount of cash invested in the business, net of depreciation. It can be calculated as the
sum of interest-bearing debt and equity or as the sum of net assets less non-interest-bearing current
liabilities (NIBCLs).
The capital charge is the cash flow required to compensate investors for the riskiness of the business
given the amount of economic capital invested.
The cost of capital is the minimum rate of return on capital required to compensate investors (debt and
equity) for bearing risk, their opportunity cost.
Another perspective on EVA can be gained by looking at a firm’s return on net assets (RONA). RONA
is a ratio that is calculated by dividing a firm’s NOPAT by the amount of capital it employs (RONA =
NOPAT/Capital) after making the necessary adjustments of the data reported by a conventional
financial accounting system.
EVA = (RONA – required minimum return) × net investments
If RONA is above the threshold rate, EVA is positive.
[edit]Comparison with other approaches
Other approaches along similar lines include Residual Income Valuation (RI) and residual cash flow.
Although EVA is similar to residual income, under some definitions there may be minor technical
differences between EVA and RI (for example, adjustments that might be made to NOPAT before it is
suitable for the formula below). Residual cash flow is another, much older term for economic profit. In
all three cases, money cost of capital refers to the amount of money rather than the proportional cost
(% cost of capital); at the same time, the adjustments to NOPAT are unique to EVA.
Although in concept, these approaches are in a sense nothing more than the traditional, commonsense
idea of "profit", the utility of having a separate and more precisely defined term such as EVA is that it
makes a clear separation from dubious accounting adjustments that have enabled businesses such
as Enron to report profits while actually approaching insolvency.
Other measures of shareholder value include:
Added value
Market value added
Total shareholder return .
[edit]Relationship to market value added
The firm's market value added, or MVA, is the discounted sum (present value) of all future expected
economic value added:
Note that MVA = PV of EVA.
More enlightening is that since MVA = NPV of Free cash flow (FCF) it follows therefore that the
NPV of FCF = PV of EVA;
since after all, EVA is simply the re-arrangement of the FCF formula.
[edit]Integrating EVA and PBC
Recently, Mocciaro Li Destri, Picone & Minà (2012)[1] proposed a performance and cost
measurement system that integrates the EVA criteria with Process Based Costing (PBC). The
EVA-PBC methodology allows us to implement the EVA management logic non only at the firm
level, but also at lower levels of the organization. EVA-PBC methodology plays an interesting role
in bringing strategy back into financial performance measures.
Business valuationFrom Wikipedia, the free encyclopedia
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 perfect 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.
Contents
[hide]
1 Standard and premise of value
2 There are two premises of Value
3 Elements of business valuation
o 3.1 Economic conditions
o 3.2 Financial analysis
o 3.3 Normalization of financial statements
o 3.4 Income, asset and market approaches
4 Income approaches
o 4.1 Discount or capitalization rates
4.1.1 Capital Asset Pricing Model (CAPM)
4.1.2 Modified Capital Asset Pricing Model
4.1.3 Weighted average cost of capital ("WACC")
4.1.4 Build-Up Method
5 Asset-based approaches
6 Market approaches
o 6.1 Guideline Public Company method
o 6.2 Guideline Transaction Method or Direct Market Data Method
7 Option pricing approaches
8 Discounts and premiums
o 8.1 Discount for lack of control
o 8.2 Discount for lack of marketability
8.2.1 Restricted stock studies
8.2.2 Option pricing
8.2.3 Pre-IPO studies
o 8.3 Applying the studies
9 Estimates of business value
10 See also
11 References
12 Further reading
[edit]Standard and premise of value
Before the value of a business can be measured, the valuation assignment must specify the reason for and
circumstances surrounding the business valuation. These are formally known as the business value
standard and premise of value.[1] The standard of value is the hypothetical conditions under which the
business will be valued. The premise of value relates to the assumptions, such as assuming that the
business will continue forever in its current form (going concern), or that the value of the business lies in the
proceeds from the sale of all of its assets minus the related debt (sum of the parts or assemblage of
business assets).
[edit]There are two premises of Value
Going Concern - Value as an ongoing operating business enterprise.[2] Liquidation – Value when business is
terminated.
Premise of value for fair value Calculation
•In use – If the asset would provide maximum value to the market participants principally through its use in
combination with other assets as a group. •In Exchange – If the asset would provide maximum value to the
market participants principally on a stand alone basis. Business valuation results can vary considerably
depending upon the choice of both the standard and premise of value. In an actual business sale, it would
be expected that the buyer and seller, each with an incentive to achieve an optimal outcome, would
determine the fair market value of a business asset that would compete in the market for such an
acquisition. If the synergies are specific to the company being valued, they may not be considered. Fair
value also does not incorporate discounts for lack of control or marketability.
Note, however, that it is possible to achieve the fair market value for a business asset that is being
liquidated in its secondary market. This underscores the difference between the standard and premise of
value.
These assumptions might not, and probably do not, reflect the actual conditions of the market in which the
subject business might be sold. However, these conditions are assumed because they yield a uniform
standard of value, after applying generally accepted valuation techniques, which allows meaningful
comparison between businesses which are similarly situated.
[edit]Elements of business valuation
[edit]Economic conditions
The examples and perspective in this article deal primarily with the United States and do not represent a worldwide view of the subject.Please improve this article and discuss the issue on the talk page. (March 2011)
A business valuation report generally begins with a description of national, regional and local economic
conditions existing as of the valuation date, as well as the conditions of the industry in which the subject
business operates. A common source of economic information for the first section of the business valuation
report is the Federal Reserve Board’s Beige Book, published eight times a year by theFederal Reserve
Bank. State governments and industry associations also publish useful statistics describing regional and
industry conditions.
[edit]Financial analysis
The financial statement analysis generally involves common size analysis, ratio analysis (liquidity, turnover,
profitability, etc.), trend analysis and industry comparative analysis. This permits the valuation analyst to
compare the subject company to other businesses in the same or similar industry, and to discover trends
affecting the company and/or the industry over time. By comparing a company’sfinancial statements in
different time periods, the valuation expert can view growth or decline in revenues or expenses, changes in
capital structure, or other financial trends. How the subject company compares to the industry will help with
the risk assessment and ultimately help determine the discount rate and the selection of market multiples.
[edit]Normalization of financial statements
The most common normalization adjustments fall into the following four categories:
Comparability Adjustments. The valuer may adjust the subject company’s financial statements to
facilitate a comparison between the subject company and other businesses in the same industry or
geographic location. These adjustments are intended to eliminate differences between the way that
published industry data is presented and the way that the subject company’s data is presented in
its financial statements.
Non-operating Adjustments. It is reasonable to assume that if a business were sold in a hypothetical
sales transaction (which is the underlying premise of the fair market value standard), the seller would
retain any assets which were not related to the production of earnings or price those non-operating
assets separately. For this reason, non-operating assets (such as excess cash) are usually eliminated
from the balance sheet.
Non-recurring Adjustments. The subject company’s financial statements may be affected by events that
are not expected to recur, such as the purchase or sale of assets, a lawsuit, or an unusually large
revenue or expense. These non-recurring items are adjusted so that the financial statements will better
reflect the management’s expectations of future performance.
Discretionary Adjustments. The owners of private companies may be paid at variance from the market
level of compensation that similar executives in the industry might command. In order to determine fair
market value, the owner’s compensation, benefits, perquisites and distributions must be adjusted to
industry standards. Similarly, the rent paid by the subject business for the use of property owned by the
company’s owners individually may be scrutinized.
[edit]Income, asset and market approaches
Three different approaches are commonly used in business valuation: the income approach, the asset-
based approach, and the market approach.[3] Within each of these approaches, there are various
techniques for determining the value of a business using the definition of value appropriate for the appraisal
assignment. Generally, the income approaches determine value by calculating the net present value of the
benefit stream generated by the business (discounted cash flow); the asset-based approaches determine
value by adding the sum of the parts of the business (net asset value); and the market approaches
determine value by comparing the subject company to other companies in the same industry, of the same
size, and/or within the same region. A number of business valuation models can be constructed that utilize
various methods under the three business valuation approaches. Venture Capitalists and Private Equity
professionals have long used the First chicago method which essentially combines the income approach
with the market approach.
In certain cases equity may also be valued by applying the techniques and frameworks developed
for financial options, via a real options framework,[4] as discussed below.
In determining which of these approaches to use, the valuation professional must exercise discretion. Each
technique has advantages and drawbacks, which must be considered when applying those techniques to a
particular subject company. Most treatises and court decisions encourage the valuator to consider more
than one technique, which must be reconciled with each other to arrive at a value conclusion. A measure of
common sense and a good grasp of mathematics is helpful.
[edit]Income approaches
The income approaches determine fair market value by multiplying the benefit stream generated by the
subject or target company times a discount or capitalization rate. The discount or capitalization rate
converts the stream of benefits into present value. There are several different income approaches, including
capitalization of earnings or cash flows, discounted future cash flows ("DCF"), and the excess earnings
method (which is a hybrid of asset and income apprope of benefit stream to which it is applied). The result
of a value calculation under the income approach is generally the fair market value of a controlling,
marketable interest in the subject company, since the entire benefit stream of the subject company is most
often valued, and the capitalization and discount rates are derived from statistics concerning public
companies. IRS Revenue Ruling 59-60 states that earnings are preeminent for the valuation of closely held
operating companies.
[edit]Discount or capitalization rates
A discount rate or capitalization rate is used to determine the present value of the expected returns of a
business. The discount rate and capitalization rate are closely related to each other, but distinguishable.
Generally speaking, the discount rate or capitalization rate may be defined as the yield necessary to attract
investors to a particular investment, given the risks associated with that investment.
In DCF valuations, the discount rate, often an estimate of the cost of capital for the business is used to
calculate the net present value of a series of projected cash flows.
On the other hand, a capitalization rate is applied in methods of business valuation that are based on
business data for a single period of time. For example, in real estate valuations for properties that
generate cash flows, a capitalization rate may be applied to the net operating income (NOI) (i.e.,
income before depreciation and interest expenses) of the property for the trailing twelve months.
There are several different methods of determining the appropriate discount rates. The discount rate is
composed of two elements: (1) the risk-free rate, which is the return that an investor would expect from a
secure, practically risk-free investment, such as a high quality government bond; plus (2) a risk
premium that compensates an investor for the relative level of risk associated with a particular investment in
excess of the risk-free rate. Most importantly, the selected discount or capitalization rate must be consistent
with stream of benefits to which it is to be applied.
[edit]Capital Asset Pricing Model (CAPM)
The Capital Asset Pricing Model (CAPM) is one method of determining the appropriate discount rate in
business valuations. The CAPM method originated from the Nobel Prize winning studies of Harry
Markowitz, James Tobin and William Sharpe. The CAPM method derives the discount rate by adding a risk
premium to the risk-free rate. In this instance, however, the risk premium is derived by multiplying the equity
risk premium times "beta," which is a measure of stock price volatility. Beta is published by various sources
for particular industries and companies. Beta is associated with the systematic risks of an investment.
One of the criticisms of the CAPM Method is that beta is derived from the volatility of prices of publicly
traded companies, which are likely to differ from private companies in their capital structures, diversification
of products and markets, access to credit markets, size, management depth, and many other respects.
Where private companies can be shown to be sufficiently similar to public companies, however,
the CAPM method may be appropriate.
[edit]Modified Capital Asset Pricing Model
The Cost of Equity (Ke) is computed by using the Modified Capital Asset Pricing Model (Mod. CAPM)
Mod. CAPM Model ke = Rf + B ( Rm-Rf) + SCRP + CSRP Where: Rf = Risk free rate of return (Generally
taken as 10-year Government Bond Yield) B = Beta Value (Sensitivity of the stock returns to market returns)
Ke = Cost of Equity Rm= Market Rate of Return SCRP = Small Company Risk Premium, CSRP= Company
specific Risk premium [5]
[edit]Weighted average cost of capital ("WACC")
The weighted average cost of capital is an approach to determining a discount rate. The WACC method
determines the subject company’s actual cost of capital by calculating the weighted average of the
company’s cost of debt and cost of equity. The WACC must be applied to the subject company’s net cash
flow to total invested capital.
One of the problems with this method is that the valuator may elect to calculate WACC according to the
subject company’s existing capital structure, the average industry capital structure, or the optimal capital
structure. Such discretion detracts from the objectivity of this approach, in the minds of some critics.
Indeed, since the WACC captures the risk of the subject business itself, the existing or contemplated capital
structures, rather than industry averages, are the appropriate choices for business valuation.
Once the capitalization rate or discount rate is determined, it must be applied to an appropriate economic
income stream: pretax cash flow, aftertax cash flow, pretax net income, after tax net income, excess
earnings, projected cash flow, etc. The result of this formula is the indicated value before discounts. Before
moving on to calculate discounts, however, the valuation professional must consider the indicated value
under the asset and market approaches.
Careful matching of the discount rate to the appropriate measure of economic income is critical to the
accuracy of the business valuation results. Net cash flow is a frequent choice in professionally conducted
business appraisals. The rationale behind this choice is that this earnings basis corresponds to the equity
discount rate derived from the Build-Up or CAPM models: the returns obtained from investments in publicly
traded companies can easily be represented in terms of net cash flows. At the same time, the discount
rates are generally also derived from the public capital markets data.
[edit]Build-Up Method
The Build-Up Method is a widely recognized method of determining the after-tax net cash flow discount
rate, which in turn yields the capitalization rate. The figures used in the Build-Up Method are derived from
various sources. This method is called a "build-up" method because it is the sum of risks associated with
various classes of assets. It is based on the principle that investors would require a greater return on
classes of assets that are more risky. The first element of a Build-Up capitalization rate is the risk-free rate,
which is the rate of return for long-term government bonds. Investors who buy large-cap equity stocks,
which are inherently more risky than long-term government bonds, require a greater return, so the next
element of the Build-Up method is the equity risk premium. In determining a company’s value, the long-
horizon equity risk premium is used because the Company’s life is assumed to be infinite. The sum of the
risk-free rate and the equity risk premium yields the long-term average market rate of return on large public
company stocks.
Similarly, investors who invest in small cap stocks, which are riskier than blue-chip stocks, require a greater
return, called the "size premium." Size premium data is generally available from two sources:Morningstar's
(formerly Ibbotson & Associates') Stocks, Bonds, Bills & Inflation and Duff & Phelps' Risk Premium Report.
By adding the first three elements of a Build-Up discount rate, we can determine the rate of return that
investors would require on their investments in small public company stocks. These three elements of the
Build-Up discount rate are known collectively as the "systematic risks."
In addition to systematic risks, the discount rate must include "unsystematic risks," which fall into two
categories. One of those categories is the "industry risk premium." Morningstar’s yearbooks contain
empirical data to quantify the risks associated with various industries, grouped by SIC industry code.
The other category of unsystematic risk is referred to as "specific company risk." Historically, no published
data has been available to quantify specific company risks. However as of late 2006, new research has
been able to quantify, or isolate, this risk for publicly traded stocks through the use of Total Beta
calculations. P. Butler and K. Pinkerton have outlined a procedure which sets the following two equations
together:
Total Cost of Equity (TCOE) = risk-free rate + total beta*equity risk premium TCOE = risk-free rate +
beta*equity risk premium + size premium + company-specific risk premium
The only unknown in the two equations is the company specific risk premium.
While it is possible to isolate the company-specific risk premium as shown above, many appraisers just key
in on the total cost of equity (TCOE) provided by the following equation: TCOE = risk-free rate + Total
beta*equity risk premium.
It is similar to using the market approach in the income approach instead of adding separate (and
potentially redundant) measures of risk in the build-up approach. The use of total beta (developed by
Aswath Damodaran) is a relatively new concept. It is, however, gaining acceptance in the business
valuation community since it is based on modern portfolio theory. Total beta can help appraisers develop a
cost of capital who were content to use their intuition alone when previously adding a purely subjective
company-specific risk premium in the build-up approach.
It is important to understand why this capitalization rate for small, privately held companies is significantly
higher than the return that an investor might expect to receive from other common types of investments,
such as money market accounts, mutual funds, or even real estate. Those investments involve substantially
lower levels of risk than an investment in a closely held company. Depository accounts are insured by the
federal government (up to certain limits); mutual funds are composed of publicly traded stocks, for which
risk can be substantially minimized through portfolio diversification.
Closely held companies, on the other hand, frequently fail for a variety of reasons too numerous to name.
Examples of the risk can be witnessed in the storefronts on every Main Street in America. There are no
federal guarantees. The risk of investing in a private company cannot be reduced through diversification,
and most businesses do not own the type of hard assets that can ensure capital appreciation over time.
This is why investors demand a much higher return on their investment in closely held businesses; such
investments are inherently much more risky. (This paragraph is biased, presuming that by the mere fact that
a company is closely held, it is prone towards failure.)
[edit]Asset-based approaches
The value of asset-based analysis of a business is equal to the sum of its parts. That is the theory
underlying the asset-based approaches to business valuation. The asset approach to business valuation is
based on the principle of substitution: no rational investor will pay more for the business assets than the
cost of procuring assets of similar economic utility. In contrast to the income-based approaches, which
require the valuation professional to make subjective judgments about capitalization or discount rates, the
adjusted net book value method is relatively objective. Pursuant to accounting convention, most assets are
reported on the books of the subject company at their acquisition value, net of depreciation where
applicable. These values must be adjusted to fair market value wherever possible. The value of a
company’s intangible assets, such as goodwill, is generally impossible to determine apart from the
company’s overall enterprise value. For this reason, the asset-based approach is not the most probative
method of determining the value of going business concerns. In these cases, the asset-based approach
yields a result that is probably lesser than the fair market value of the business. In considering an asset-
based approach, the valuation professional must consider whether the shareholder whose interest is being
valued would have any authority to access the value of the assets directly. Shareholders own shares in a
corporation, but not its assets, which are owned by the corporation. A controlling shareholder may have the
authority to direct the corporation to sell all or part of the assets it owns and to distribute the proceeds to the
shareholder(s). The non-controlling shareholder, however, lacks this authority and cannot access the value
of the assets. As a result, the value of a corporation's assets is not the true indicator of value to a
shareholder who cannot avail himself of that value. The asset based approach is the entry barrier value and
should preferably to be used in businesses having mature or declaining growth cycle and is more suitable
for capital intensive industry.[6]
Adjusted net book value may be the most relevant standard of value where liquidation is imminent or
ongoing; where a company earnings or cash flow are nominal, negative or worth less than its assets; or
where net book value is standard in the industry in which the company operates. The adjusted net book
value may also be used as a "sanity check" when compared to other methods of valuation, such as the
income and market approaches...
[edit]Market approaches
Main article: Valuation using multiples
The market approach to business valuation is rooted in the economic principle of competition: that in a free
market the supply and demand forces will drive the price of business assets to a certain equilibrium. Buyers
would not pay more for the business, and the sellers will not accept less, than the price of a comparable
business enterprise. It is similar in many respects to the "comparable sales" method that is commonly used
in real estate appraisal. The market price of the stocks of publicly traded companies engaged in the same
or a similar line of business, whose shares are actively traded in a free and open market, can be a valid
indicator of value when the transactions in which stocks are traded are sufficiently similar to permit
meaningful comparison.
The difficulty lies in identifying public companies that are sufficiently comparable to the subject company for
this purpose. Also, as for a private company, the equity is less liquid (in other words its stocks are less easy
to buy or sell) than for a public company, its value is considered to be slightly lower than such a market-
based valuation would give.
When there is a lack of comparison with direct competition, a meaningful alternative could be a vertical
value-chain approach where the subject company is compared with, for example, a known downstream
industry to have a good feel of its value by building useful correlations with its downstream companies.
Such comparison often reveals useful insights which help business analysts better understand performance
relationship between the subject company and its downstream industry. For example, if a growing subject
company is in an industry more concentrated than its downstream industry with a high degree of
interdependence, one should logically expect the subject company performs better than the downstream
industry in terms of growth, margins and risk.
[edit]Guideline Public Company method
Guideline Public Company method entails a comparison of the subject company to publicly traded
companies. The comparison is generally based on published data regarding the public companies’ stock
price and earnings, sales, or revenues, which is expressed as a fraction known as a "multiple." If the
guideline public companies are sufficiently similar to each other and the subject company to permit a
meaningful comparison, then their multiples should be similar. The public companies identified for
comparison purposes should be similar to the subject company in terms of industry, product lines, market,
growth, margins and risk.
[edit]Guideline Transaction Method or Direct Market Data Method
Using this method, the valuation analyst may determine market multiples by reviewing published data
regarding actual transactions involving either minority or controlling interests in either publicly traded or
closely held companies. In judging whether a reasonable basis for comparison exists, the valuation analysis
must consider: (1) the similarity of qualitative and quantitative investment and investor characteristics; (2)
the extent to which reliable data is known about the transactions in which interests in the guideline
companies were bought and sold; and (3) whether or not the price paid for the guideline companies was in
an arms-length transaction, or a forced or distressed sale. In regards to data reliability and both the
guideline transaction method and the direct market data method, unlike real estate sales data, sales of
privately held companies are neither actively traded or regularly reported to city or county recording offices,
nor verified by these same local government offices. Sales of privately held companies are voluntarily
reported by business brokers to data re-sellers or unscientifically accumulated by these same private, for
profit data re-sellers. Consequently the data is considered, by the very nature of the data collection process,
to be corrupted by sampling bias and nonsampling error, and of questionable reliability.
[edit]Option pricing approaches
As above, in certain cases equity may be valued by applying the techniques and frameworks developed
for financial options, via a real options framework.[4] For general discussion as to context seeValuing
flexibility under Corporate finance; for detail as to applicability and other considerations
see further under Real options valuation.
In general, equity may be viewed as a call option on the firm,[7] and this allows for the valuation of troubled
firms which may otherwise be difficult to analyse; see Distressed securities. Here, since the principle
of limited liability protects equity investors, shareholders would choose not to repay the firm’s debt where
the value of the firm (as perceived) is less than the value of the outstanding debt; seebond valuation. Of
course, where firm value is greater than debt value, the shareholders would choose to repay (i.e. exercise
their option) and not to liquidate. Thus analogous to out the money options which nevertheless have value,
equity will (may) have value even if the value of the firm falls (well) below the face value of the outstanding
debt - and this value can (should) be determined using the appropriate option valuation technique. (A
further application of this principle is the analysis of agency problems;[4] see Contract
design under Principal–agent problem.)
Certain business situations, and the parent firms in those cases, are also logically analysed under an
options framework; see "Applications" under the Real options valuation references. Just as a financial
option gives its owner the right, but not the obligation, to buy or sell a security at a given price, companies
that make strategic investments have the right, but not the obligation, to exploit opportunities in the future.
Thus, for companies facing uncertainty of this type, the stock price may (should) be seen as the sum of the
value of existing businesses (i.e. the discounted cash flow value) plus any real option value.[8] Equity
valuations here, may (should) thus proceed likewise. Compare PVGO.
A common application is to natural resource investments.[9] Here, the underlying asset is the resource itself;
the value of the asset is a function of both quantity of resource available, and the price of the commodity in
question. The value of the resource is then the difference between the value of the asset and the cost
associated with developing the resource. Where positive ("in the money") management will undertake the
development, and will not do so otherwise, and a resource project is thus effectively a call option.
A resource firm may (should) therefore also be analysed using the options approach. Specifically, the value
of the firm comprises the value of already active projects determined via DCF valuation (or other standard
techniques) and undeveloped reserves as analysed using the real optionsframework.
Product patents may also be valued as options, and the value of firms holding these patents - typically firms
in the bio-science, technology, and pharmaceutical sectors – can (should) similarly be viewed as the sum of
the value of products in place and the portfolio of patents yet to be deployed.[10] As regards the option
analysis, since the patent provides the firm with the right to develop the product, it will do so only if
the present value of the expected cash flows from the product, exceeds the cost of development, and the
patent rights thus correspond to a call option. See Patent valuation underEconomics and patents. Similar
analysis may be applied to options on films (or other works of intellectual property) and the valuation of Film
studios.
[edit]Discounts and premiums
The valuation approaches yield the fair market value of the Company as a whole. In valuing a minority, non-
controlling interest in a business, however, the valuation professional must consider the applicability of
discounts that affect such interests. Discussions of discounts and premiums frequently begin with a review
of the "levels of value." There are three common levels of value: controlling interest, marketable minority,
and non-marketable minority. The intermediate level, marketable minority interest, is less than the
controlling interest level and higher than the non-marketable minority interest level. The marketable minority
interest level represents the perceived value of equity interests that are freely traded without any
restrictions. These interests are generally traded on the New York Stock Exchange, AMEX, NASDAQ, and
other exchanges where there is a ready market for equity securities. These values represent a minority
interest in the subject companies – small blocks of stock that represent less than 50% of the company’s
equity, and usually much less than 50%. Controlling interest level is the value that an investor would be
willing to pay to acquire more than 50% of a company’s stock, thereby gaining the attendant prerogatives of
control. Some of the prerogatives of control include: electing directors, hiring and firing the company’s
management and determining their compensation; declaring dividends and distributions, determining the
company’s strategy and line of business, and acquiring, selling or liquidating the business. This level of
value generally contains acontrol premium over the intermediate level of value, which typically ranges from
25% to 50%. An additional premium may be paid by strategic investors who are motivated by synergistic
motives. Non-marketable, minority level is the lowest level on the chart, representing the level at which non-
controlling equity interests in private companies are generally valued or traded. This level of value is
discounted because no ready market exists in which to purchase or sell interests. Private companies are
less "liquid" than publicly traded companies, and transactions in private companies take longer and are
more uncertain. Between the intermediate and lowest levels of the chart, there are restricted shares of
publicly traded companies. Despite a growing inclination of the IRS and Tax Courts to challenge valuation
discounts, Shannon Pratt suggested in a scholarly presentation recently that valuation discounts are
actually increasing as the differences between public and private companies is widening . Publicly traded
stocks have grown more liquid in the past decade due to rapid electronic trading, reduced commissions,
and governmental deregulation. These developments have not improved the liquidity of interests in private
companies, however. Valuation discounts are multiplicative, so they must be considered in order. Control
premiums and their inverse, minority interest discounts, are considered before marketability discounts are
applied.
[edit]Discount for lack of control
The first discount that must be considered is the discount for lack of control, which in this instance is also a
minority interest discount. Minority interest discounts are the inverse of control premiums, to which the
following mathematical relationship exists: MID = 1 – [1 / (1 + CP)] The most common source of data
regarding control premiums is the Control Premium Study, published annually by Mergerstat since 1972.
Mergerstat compiles data regarding publicly announced mergers, acquisitions and divestitures involving
10% or more of the equity interests in public companies, where the purchase price is $1 million or more and
at least one of the parties to the transaction is a U.S. entity. Mergerstat defines the "control premium" as the
percentage difference between the acquisition price and the share price of the freely traded public shares
five days prior to the announcement of the M&A transaction. While it is not without valid criticism,
Mergerstat control premium data (and the minority interest discount derived therefrom) is widely accepted
within the valuation profession.
[edit]Discount for lack of marketability
Another factor to be considered in valuing closely held companies is the marketability of an interest in such
businesses. Marketability is defined as the ability to convert the business interest into cash quickly, with
minimum transaction and administrative costs, and with a high degree of certainty as to the amount of net
proceeds. There is usually a cost and a time lag associated with locating interested and capable buyers of
interests in privately held companies, because there is no established market of readily available buyers
and sellers. All other factors being equal, an interest in a publicly traded company is worth more because it
is readily marketable. Conversely, an interest in a private-held company is worth less because no
established market exists. The IRS Valuation Guide for Income, Estate and Gift Taxes, Valuation Training
for Appeals Officers acknowledges the relationship between value and marketability, stating: "Investors
prefer an asset which is easy to sell, that is, liquid." The discount for lack of control is separate and
distinguishable from the discount for lack of marketability. It is the valuation professional’s task to quantify
the lack of marketability of an interest in a privately held company. Because, in this case, the subject
interest is not a controlling interest in the Company, and the owner of that interest cannot compel liquidation
to convert the subject interest to cash quickly, and no established market exists on which that interest could
be sold, the discount for lack of marketability is appropriate. Several empirical studies have been published
that attempt to quantify the discount for lack of marketability. These studies include the restricted stock
studies and the pre-IPO studies. The aggregate of these studies indicate average discounts of 35% and
50%, respectively. Some experts believe the Lack of Control and Marketability discounts can aggregate
discounts for as much as ninety percent of a Company's fair market value, specifically with family-owned
companies.
[edit]Restricted stock studies
Restricted stocks are equity securities of public companies that are similar in all respects to the freely
traded stocks of those companies except that they carry a restriction that prevents them from being traded
on the open market for a certain period of time, which is usually one year (two years prior to 1990). This
restriction from active trading, which amounts to a lack of marketability, is the only distinction between the
restricted stock and its freely traded counterpart. Restricted stock can be traded in private transactions and
usually do so at a discount. The restricted stock studies attempt to verify the difference in price at which the
restricted shares trade versus the price at which the same unrestricted securities trade in the open market
as of the same date. The underlying data by which these studies arrived at their conclusions has not been
made public. Consequently, it is not possible when valuing a particular company to compare the
characteristics of that company to the study data. Still, the existence of a marketability discount has been
recognized by valuation professionals and the Courts, and the restricted stock studies are frequently cited
as empirical evidence. Notably, the lowest average discount reported by these studies was 26% and the
highest average discount was 40%.
[edit]Option pricing
In addition to the restricted stock studies, U.S. publicly traded companies are able to sell stock to offshore
investors (SEC Regulation S, enacted in 1990) without registering the shares with theSecurities and
Exchange Commission. The offshore buyers may resell these shares in the United States, still without
having to register the shares, after holding them for just 40 days. Typically, these shares are sold for 20% to
30% below the publicly traded share price. Some of these transactions have been reported with discounts
of more than 30%, resulting from the lack of marketability. These discounts are similar to the marketability
discounts inferred from the restricted and pre-IPO studies, despite the holding period being just 40 days.
Studies based on the prices paid for options have also confirmed similar discounts. If one holds restricted
stock and purchases an option to sell that stock at the market price (a put), the holder has, in effect,
purchased marketability for the shares. The price of the put is equal to the marketability discount. The range
of marketability discounts derived by this study was 32% to 49%. However, ascribing the entire value of a
put option to marketability is misleading, because the primary source of put value comes from the downside
price protection. A correct economic analysis would use deeply in-the-money puts or Single-stock futures,
demonstrating that marketability of restricted stock is of low value because it is easy to hedge using
unrestricted stock or futures trades.
[edit]Pre-IPO studies
Another approach to measure the marketability discount is to compare the prices of stock offered in initial
public offerings (IPOs) to transactions in the same company’s stocks prior to the IPO. Companies that are
going public are required to disclose all transactions in their stocks for a period of three years prior to the
IPO. The pre-IPO studies are the leading alternative to the restricted stock stocks in quantifying
the marketability discount. The pre-IPO studies are sometimes criticized because the sample size is
relatively small, the pre-IPO transactions may not be arm’s length, and the financial structure and product
lines of the studied companies may have changed during the three year pre-IPO window.
[edit]Applying the studies
The studies confirm what the marketplace knows intuitively: Investors covet liquidity and loathe obstacles
that impair liquidity. Prudent investors buy illiquid investments only when there is a sufficient discount in the
price to increase the rate of return to a level which brings risk-reward back into balance. The referenced
studies establish a reasonable range of valuation discounts from the mid-30%s to the low 50%s. The more
recent studies appeared to yield a more conservative range of discounts than older studies, which may
have suffered from smaller sample sizes. Another method of quantifying the lack of marketability discount is
the Quantifying Marketability Discounts Model (QMDM).
[edit]Estimates of business value
The evidence on the market value of specific businesses varies widely, largely depending on reported
market transactions in the equity of the firm. A fraction of businesses are "publicly traded," meaning that
their equity can be purchased and sold by investors in stock markets available to the general public.
Publicly traded companies on major stock markets have an easily calculated "market capitalization" that is a
direct estimate of the market value of the firm's equity. Some publicly traded firms have relatively few
recorded trades (including many firms traded "over the counter" or in "pink sheets"). A far larger number of
firms are privately held. Normally, equity interests in these firms (which include corporations, partnerships,
limited-liability companies, and some other organizational forms) are traded privately, and often irregularly.
A number of stock market indicators in the United States and other countries provide an indication of the
market value of publicly traded firms. The Survey of Consumer Finance in the US also includes an estimate
of household ownership of stocks, including indirect ownership through mutual funds.[11] The 2004 and 2007
SCF indicate a growing trend in stock ownership, with 51% of households indicating a direct or indirect
ownership of stocks, with the majority of those respondents indicating indirect ownership through mutual
funds. Few indications are available on the value of privately held firms. Anderson (2009) recently estimated
the market value of U.S. privately held and publicly traded firms, using Internal Revenue Service and SCF
data.[12] He estimates that privately held firms produced more income for investors, and had more value than
publicly held firms, in 2004.
Free cash flowFrom Wikipedia, the free encyclopedia
In corporate finance, free cash flow (FCF) is cash flow available for distribution among all
the securities holders of an organization. They include equity holders, debt holders, preferred
stock holders,convertible security holders, and so on.
Element Data Source
EBIT x (1-Tax rate) Current Income Statement
+ Depreciation & Amortization
Current Income Statement
- Changes in Working Capital Prior & Current Balance Sheets: Current Assets and Liability accounts
- Capital expenditure Prior & Current Balance Sheets: Property, Plant and Equipment accounts
= Free Cash Flow
Note that the first three lines above are calculated for you on the standard Statement of Cash Flows.
When Net profit and Tax rate applicable are given, you can also calculate it by taking:
Element Data Source
Net Profit Current Income Statement
+ Interest expense Current Income Statement
- Net Capital Expenditure(CAPEX) Current Income Statement
- Net changes in Working Capital Prior & Current Balance Sheets: Current Assets and Liability accounts
- Tax shield on Interest Expense Current Income Statement
= Free Cash Flow
where,
Net Capital Expenditure(CAPEX) = Capex - Depreciation & Amortization
Tax Shield = Net Interest Expense X Effective Tax Rate
When PAT and Debit/Equity ratio is available:
Element Data Source
Profit after Tax (PAT) Current Income Statement
- Changes in Capital expenditure X (1-d)
Balance Sheets, Cash Flow Statements
+ Depreciation & Amortization X (1-d) Prior & Current Balance Sheets: Current Assets and Liability accounts
- Changes in Working Capital X (1-d) Balance Sheets, Cash Flow Statements
= Free Cash Flow
where d - is the debt/equity ratio. e.g.: For a 3:4 mix it will be 3/7.
Element Data Source
Earning Before Interest and Tax x (1-Tax)
Current Income Statement
+ Depreciation & Amortization Current Income Statement
- Changes in Working CapitalPrior & Current Balance Sheets: Current Assets and Liability accounts
= Cash Flows from Operations same as Statement of Cash Flows: section 1, from Operations
Therefore,
Element Data Source
Cash Flows from Operations Statement of Cash Flows: section 1, from Operations
- Capital Expenditure Statement of Cash Flows: section 2, from Investment
= Free Cash Flow
There are two differences between Net Income and Free Cash Flow: The first is the accounting for the
consumption of capital goods. The Net Income measure uses depreciation, while the Free Cash Flow
measure uses last period's net capital purchases.
Measurement Type
Component Advantage Disadvantage
Free Cash Flow
Prior period net investment spending
Spending is in current dollars
Capital investments are at the discretion of management, so spending may be sporadic.
Net Income Depreciation charge
Charges are smoothed, related to cumulative prior purchases
Allowing for typical 2% inflation per year, equipment purchased 10 years ago for $100 would now cost about $122. With 10 year straight line depreciation the old machine would have an annual depreciation of $10, but the new, identical machine would have depreciation of
$12.2, or 22% more.
The second difference is that the Free Cash Flow measurement deducts increases in net working capital,
where the net income approach does not. Typically, in a growing company with a 30 day collection period
for receivables, a 30 day payment period for purchases, and a weekly payroll, it will require more and more
working capital to finance the labor and profit components embedded in the growing receivables balance.
The net income measure essentially says, "You can take that cash home" because you would still have the
same productive capacity as you started with. The Free Cash Flow measurement however would say, "You
can't take that home" because you would cramp the enterprise from operating itself forward from there.
Likewise when a company has negative sales growth it's likely to diminish its capital spending dramatically.
Receivables, provided they are being timely collected, will also ratchet down. All this "deceleration" will
show up as additions to Free Cash Flow. However, over the longer term, decelerating sales trends will
eventually catch up.
Net Free Cash Flow definition should also allow for cash available to pay off the company's short term debt.
It should also take into account any dividends that the company means to pay.
Net Free Cash Flow = Operation Cash flow – Capital Expenses to keep current level of operation –
dividends – Current Portion of long term debt – Depreciation
Here Capex Definition should not include additional investment on new equipment. However maintenance
cost can be added.
Dividends - This will be base dividend that the company intends to distribute to its share holders.
Current portion of LTD - This will be minimum Debt that the company needs to pay in order to not create
defaults.
Depreciation - This should be taken out since this will account for future investment for replacing the current
PPE.
If the Net Income category includes the income from Discontinued operation and extraordinary income
make sure it is not be part of Free Cash Flow.
Net of all the above give Free Cash available to be reinvested on operation without having to take more
debt.
Contents
[hide]
1 Alternative Mathematical formula
2 Uses of the metric
3 Problems with capital expenditures
4 Agency costs of free cash flow
5 See also
6 References
7 External links
[edit]Alternative Mathematical formula
FCF measures
operating cash flow (OCF)
less expenditures necessary to maintain assets (capital expenditures or "capex")but this does not
include increase in working capital.
less interest charges
In symbols:
where
OCBt is the firm's net operating profit after taxes (Also known as NOPAT) during period t
It is the firm's investment during period t including variation of working capital
Investment is simply the net increase (decrease) in the firm's capital, from the end of one period to the
end of the next period:
where Kt represents the firm's invested capital at the end of period t. Increases in non-cash current
assets may, or may not be deducted, depending on whether they are considered to be maintaining
the status quo, or to be investments for growth.
Unlevered Free Cash Flow (i.e., cash flows before interest payments) is defined as EBITDA -
capex - changes in net working capital - taxes. This is the generally accepted definition. If there are
mandatory repayments of debt, then some analysts utilize levered free cash flow, which is the
same formula above, but less interest and mandatory principal repayments.
Investment bankers compute Free Cash Flow using the following formula:
FCFF = After tax operating income + Noncash charges (such as D&A) - Capex - Working capital
expenditures + Interest*(1-t)= Free Cash Flows to the Firm (FCFF)
FCFE = Net income + Noncash charges (such as D&A) - Capex - Change in Non Cash Working
Capital + Net Borrowing = Free Cash Flows to the equity (FCFE)
Or simply:
FCFE = FCFF + Net borrowing - Interest*(1-t)
[edit]Uses of the metric
Free cash flow measures the ease with which businesses can grow and pay dividends to
shareholders. Even profitable businesses may have negative cash flows. Their requirement for
increased financing will result in increased financing cost reducing future income.
According to the discounted cash flow valuation model, the intrinsic value of a company is
the present value of all future free cash flows, plus the cash proceeds from its eventual sale. The
presumption is that the cash flows are used to pay dividends to the shareholders. Bear in mind the
lumpiness discussed below.
Some investors prefer using free cash flow instead of net income to measure a company's
financial performance, because free cash flow is more difficult to manipulate than net income. The
problems with this presumption are itemized at cash flow and return of capital.
The payout ratio is a metric used to evaluate the sustainability of distributions from REITs, Oil and
Gas Royalty Trusts, and Income Trust. The distributions are divided by the free cash flow.
Distributions may include any of income, flowed-through capital gains or return of capital.
[edit]Problems with capital expenditures
The expenditures for maintenances of assets is only part of the capex reported on the Statement
of Cash Flows. It must be separated from the expenditures for growth purposes. This split is not a
requirement under GAAP, and is not audited. Management is free to disclose maintenance capex
or not. Therefore this input to the calculation of free cash flow may be subject to manipulation, or
require estimation. Since it may be a large number, maintenance capex's uncertainty is the basis
for some people's dismissal of 'free cash flow'.
A second problem with the maintenance capex measurement is its intrinsic 'lumpiness'. By their
nature, expenditures for capital assets that will last decades may be infrequent, but costly when
they occur. 'Free cash flow', in turn, will be very different from year to year. No particular year will
be a 'norm' that can be expected to be repeated. For companies that have stable capital
expenditures, free cash flow will (over the long term) be roughly equal to earnings
[edit]Agency costs of free cash flow
In a 1986 paper in the American Economic Review, Michael Jensen noted that free cash flows
allowed firms' managers to finance projects earning low returns which therefore might not be
funded by the equity or bond markets. Examining the US oil industry, which had earned substantial
free cash flows in the 1970s and the early 1980s, he wrote that
[the] 1984 cash flows of the ten largest oil companies were $48.5 billion, 28 percent of the
total cash flows of the top 200 firms in Dun's Business Month survey. Consistent with the
agency costs of free cash flow, management did not pay out the excess resources to
shareholders. Instead, the industry continued to spend heavily on [exploration and
development] activity even though average returns were below the cost of capital.
Jensen also noted a negative correlation between exploration announcements and the market
valuation of these firms - the opposite effect to research announcements in other industries.
[edit]See also
Weighted average cost of capitalFrom Wikipedia, the free encyclopedia
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 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. Companies raise money from
a number of sources: common equity, preferred equity, straight debt, convertible debt, exchangeable
debt, warrants, 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 of each component of the capital structure.
The more complex the company's capital structure, the more laborious it is to calculate the WACC.
Companies can use WACC to see if the investment projects available to them are worthwhile to undertake.
[1]
Contents
[hide]
1 Calculation
2 See also
3 References
4 External links
[edit]Calculation
In general, the WACC can be calculated with the following formula:[2]
where is the number of sources of capital (securities, types of liabilities); is the required rate of return
for security ; is the market value of all outstanding securities .
Tax effects can be incorporated into this formula. For example, the WACC for a company financed by one
type of shares with the total market value of and cost of equity and one type of bonds with the
total market value of and cost of debt , in a country with corporate tax rate is calculated as:
Actually carrying out this calculation has a problem. There are many plausible proxies for each element. As
a result, a fairly wide range of values for the WACC for a given firm in a given year, may appear defensible,
see Frank and Shen (2012).[3]
Beta (finance)From Wikipedia, the free encyclopedia
(Redirected from Beta coefficient)
For other uses, see Beta (disambiguation).
In finance, the Beta (β) of a stock or portfolio is a number describing the correlated volatility of an asset in
relation to the volatility of the benchmark that said asset is being compared to. This benchmark is generally
the overall financial market and is often estimated via the use of representative indices, such as the S&P
500.[1]
An asset has a beta of zero if its moves are not correlated with the benchmark's moves. A positive beta
means that the asset generally follows the benchmark, in the sense that the asset tends to move up when
the benchmark moves up, and the asset tends to move down when the benchmark moves down. A
negative beta means that the asset generally moves opposite the benchmark: the asset tends to move up
when the benchmark moves down, and the asset tends to move down when the benchmark moves up.[2]
It measures the part of the asset's statistical variance that cannot be removed by the diversification provided
by the portfolio of many risky assets, because of the correlation of its returns with the returns of the other
assets that are in the portfolio. Beta can be estimated for individual companies using regression
analysis against a stock market index.
Contents
[hide]
1 Definition
o 1.1 Security market line
2 Choice of benchmark
3 Investing
4 Academic theory
5 Multiple beta model
6 Estimation of beta
7 Extreme and interesting cases
8 Criticism
9 See also
10 Notes
11 External links
[edit]Definition
The formula for the beta of an asset within a portfolio is
where ra measures the rate of return of the asset, rp measures the rate of return of the portfolio, and
cov(ra,rp) is the covariance between the rates of return. The portfolio of interest in the CAPM formulation
is the market portfolio that contains all risky assets, and so the rp terms in the formula are replaced
by rm, the rate of return of the market.
Beta is also referred to as financial elasticity or correlated relative volatility, and can be referred to as
a measure of the sensitivity of the asset's returns to market returns, its non-diversifiable risk,
itssystematic risk, or market risk. On an individual asset level, measuring beta can give clues
to volatility and liquidity in the marketplace. In fund management, measuring beta is thought to
separate a manager's skill from his or her willingness to take risk.
The beta coefficient was born out of linear regression analysis. It is linked to a regression analysis of
the returns of a portfolio (such as a stock index) (x-axis) in a specific period versus the returns of an
individual asset (y-axis) in a specific year. The regression line is then called the Security characteristic
Line (SCL).
is called the asset's alpha and is called the asset's beta coefficient. Both coefficients
have an important role in Modern portfolio theory.
For example, in a year where the broad market or benchmark index returns 25% above the risk
free rate, suppose two managers gain 50% above the risk free rate. Because this higher return is
theoretically possible merely by taking a leveraged position in the broad market to double the beta
so it is exactly 2.0, we would expect a skilled portfolio manager to have built the outperforming
portfolio with a beta somewhat less than 2, such that the excess return not explained by the beta is
positive. If one of the managers' portfolios has an average beta of 3.0, and the other's has a beta
of only 1.5, then the CAPM simply states that the extra return of the first manager is not sufficient
to compensate us for that manager's risk, whereas the second manager has done more than
expected given the risk. Whether investors can expect the second manager to duplicate that
performance in future periods is of course a different question.
[edit]Security market line
Main article: Security market line
The Security Market Line
The SML graphs the results from the capital asset pricing model (CAPM) formula. The x-axis
represents the risk (beta), and the y-axis represents the expected return. The market risk premium
is determined from the slope of the SML.
The relationship between β and required return is plotted on the security market line (SML) which
shows expected return as a function of β. The intercept is the nominal risk-free rate available for
the market, while the slope is E(Rm)− Rf. The security market line can be regarded as representing
a single-factor model of the asset price, where Beta is exposure to changes in value of the Market.
The equation of the SML is thus:
It is a useful tool in determining if an asset being considered for a portfolio offers a reasonable
expected return for risk. Individual securities are plotted on the SML graph. If the security's
risk versus expected return is plotted above the SML, it is undervalued because the investor
can expect a greater return for the inherent risk. A security plotted below the SML is
overvalued because the investor would be accepting a lower return for the amount of risk
assumed.
[edit]Choice of benchmark
In the US, published betas typically use a stock market index such as S&P 500 as a
benchmark. Other choices may be an international index such as the MSCI EAFE. The
benchmark should be chosen to be similar to the other assets chosen by the investor. The
ideal index would match the portfolio; for example, for a person who owns S&P 500 index
funds and gold bars, the index would combine the S&P 500 and the price of gold. In practice a
standard index is used. The choice of the index need not reflect the portfolio under question;
e.g., beta for gold bars compared to the S&P 500 may be low or negative carrying the
information that gold does not track stocks and may provide a mechanism for reducing risk.
The restriction to stocks as a benchmark is somewhat arbitrary. A model portfolio may be
stocks plus bonds. Sometimes the market is defined as "all investable assets" (see Roll's
critique); unfortunately, this includes lots of things for which returns may be hard to measure.
[edit]Investing
By definition, the market itself has a beta of 1.0, and individual stocks are ranked according to
how much they deviate from the macro market (for simplicity purposes, the S&P 500 is
sometimes used as a proxy for the market as a whole). A stock whose returns vary more than
the market's returns over time can have a beta whose absolute value is greater than 1.0
(whether it is, in fact, greater than 0 will depend on the correlation of the stock's returns and
the market's returns). A stock whose returns vary less than the market's returns has a beta
with an absolute value less than 1.0.
A stock with a beta of 2 has returns that change, on average, by twice the magnitude of the
overall market's returns; when the market's return falls or rises by 3%, the stock's return will
fall or rise (respectively) by 6% on average. (However, because beta also depends on the
correlation of returns, there can be considerable variance about that average; the higher the
correlation, the less variance; the lower the correlation, the higher the variance.) Beta can also
be negative, meaning the stock's returns tend to move in the opposite direction of the market's
returns. A stock with a beta of -3 would see its return decline 9% (on average) when the
market's return goes up 3%, and would see its return climb 9% (on average) if the market's
return falls by 3%.
Higher-beta stocks tend to be more volatile and therefore riskier, but provide the potential for
higher returns. Lower-beta stocks pose less risk but generally offer lower returns. Some have
challenged this idea, claiming that the data show little relation between beta and potential
reward, or even that lower-beta stocks are both less risky and more profitable (contradicting
CAPM).[3] In the same way a stock's beta shows its relation to market shifts, it is also an
indicator for required returns on investment (ROI). Given a risk-free rate of 2%, for example, if
the market (with a beta of 1) has an expected return of 8%, a stock with a beta of 1.5 should
return 11% (= 2% + 1.5(8% - 2%)).
[edit]Academic theory
Academic theory claims that higher-risk investments should have higher returns over the long-
term. Wall Street has a saying that "higher return requires higher risk", not that a risky
investment will automatically do better. Some things may just be poor investments (e.g.,
playing roulette). Further, highly rational investors should consider correlated volatility (beta)
instead of simple volatility (sigma). Theoretically, a negative beta equity is possible; for
example, an inverse ETF should have negative beta to the relevant index. Also,
a short position should have opposite beta.
This expected return on equity, or equivalently, a firm's cost of equity, can be estimated using
the Capital Asset Pricing Model (CAPM). According to the model, the expected return on
equity is a function of a firm's equity beta (βE) which, in turn, is a function of both leverage and
asset risk (βA):
where:
KE = firm's cost of equity
RF = risk-free rate (the rate of return on a "risk free investment"; e.g., U.S. Treasury
Bonds)
RM = return on the market portfolio
because:
and
Firm Value (V) + Cash and Risk-Free Securities = Debt Value (D) + Equity Value (E)
An indication of the systematic riskiness attaching to the returns on ordinary
shares. It equates to the asset Beta for an ungeared firm, or is adjusted upwards
to reflect the extra riskiness of shares in a geared firm., i.e. the Geared Beta.[4]
[edit]Multiple beta model
The arbitrage pricing theory (APT) has multiple betas in its model. In contrast to
the CAPM that has only one risk factor, namely the overall market, APT has
multiple risk factors. Each risk factor has a corresponding beta indicating the
responsiveness of the asset being priced to that risk factor.
Multiple-factor models contradict CAPM by claiming that some other factors can
return, therefore one may find two stocks (or funds) with equal beta, but one
may be a better investment.
[edit]Estimation of beta
To estimate beta, one needs a list of returns for the asset and returns for the
index; these returns can be daily, weekly or any period. Then one uses standard
formulas from linear regression. The slope of the fitted line from the linear least-
squares calculation is the estimated Beta. The y-intercept is the alpha.
Myron Scholes and Joseph Williams (1977) provided a model for estimating
betas from nonsynchronous data.[5]
Beta specifically gives the volatility ratio multiplied by the correlation of the
plotted data. To take an extreme example, something may have a beta of zero
even though it is highly volatile, provided it is uncorrelated with the market.
Tofallis (2008) provides a discussion of this,[6] together with a real example
involving AT&T. The graph showing monthly returns from AT&T is visibly more
volatile than the index and yet the standard estimate of beta for this is less than
one.
The relative volatility ratio described above is actually known as Total Beta (at
least by appraisers who practice business valuation). Total Beta is equal to the
identity: Beta/R or the standard deviation of the stock/standard deviation of the
market (note: the relative volatility). Total Beta captures the security's risk as a
stand-alone asset (because the correlation coefficient, R, has been removed
from Beta), rather than part of a well-diversified portfolio. Because appraisers
frequently value closely held companies as stand-alone assets, Total Beta is
gaining acceptance in the business valuation industry. Appraisers can now use
Total Beta in the following equation: Total Cost of Equity (TCOE) = risk-free rate
+ Total Beta*Equity Risk Premium. Once appraisers have a number of TCOE
benchmarks, they can compare/contrast the risk factors present in these publicly
traded benchmarks and the risks in their closely held company to better
defend/support their valuations.
[edit]Extreme and interesting cases
Beta has no upper or lower bound, and betas as large as 3 or 4 will occur
with highly volatile stocks.
Beta can be zero. Some zero-beta assets are risk-free, such as treasury
bonds and cash. However, simply because a beta is zero does not mean
that it is risk-free. A beta can be zero simply because the correlation
between that item's returns and the market's returns is zero. An example
would be betting on horse racing. The correlation with the market will be
zero, but it is certainly not a risk-free endeavor.
A negative beta simply means that the stock is inversely correlated with the
market.
A negative beta might occur even when both the benchmark index and the
stock under consideration have positive returns. It is possible that lower
positive returns of the index coincide with higher positive returns of the
stock, or vice versa. The slope of the regression line in such a case will be
negative.
If it were possible to invest in an asset with positive returns and beta −1 as
well as in the market portfolio (which by definition has beta 1), it would be
possible to achieve a risk-free profit. With the use of leverage, this profit
would be unlimited. Of course, in practice it is impossible to find an asset
with beta −1 that does not introduce additional costs or risks.
Using beta as a measure of relative risk has its own limitations. Most
analyses consider only the magnitude of beta. Beta is a statistical variable
and should be considered with its statistical significance (R square value of
the regression line). Higher R square value implies higher correlation and a
stronger relationship between returns of the asset and benchmark index.
If beta is a result of regression of one stock against the market where it is
quoted, betas from different countries are not comparable.
Staple stocks are thought to be less affected by cycles and usually have
lower beta. Procter & Gamble, which makes soap, is a classic example.
Other similar ones are Philip Morris (tobacco) andJohnson &
Johnson (Health & Consumer Goods). Utility stocks are thought to be less
cyclical and have lower beta as well, for similar reasons.
'Tech' stocks typically have higher beta. An example is the dot-com bubble.
Although tech did very well in the late 1990s, it also fell sharply in the early
2000s, much worse than the decline of the overall market.
Foreign stocks may provide some diversification. World benchmarks such
as S&P Global 100 have slightly lower betas than comparable US-only
benchmarks such as S&P 100. However, this effect is not as good as it
used to be; the various markets are now fairly correlated, especially the US
and Western Europe.[citation needed]
Derivatives and other non-linear assets. Beta relies on a linear model. An
out of the money option may have a distinctly non-linear payoff. The change
in price of an option relative to the change in the price of the underlying
asset (for example a stock) is not constant. For example, if one purchased
a put option on the S&P 500, the beta would vary as the price of the
underlying index (and indeed as volatility, time to expiration and other
factors) changed. (see options pricing, and Black Scholes).
[edit]Criticism
Seth Klarman of the Baupost group wrote in Margin of Safety: "I find it
preposterous that a single number reflecting past price fluctuations could be
thought to completely describe the risk in a security. Beta views risk solely from
the perspective of market prices, failing to take into consideration specific
business fundamentals or economic developments. The price level is also
ignored, as if IBM selling at 50 dollars per share would not be a lower-risk
investment than the same IBM at 100 dollars per share. Beta fails to allow for
the influence that investors themselves can exert on the riskiness of their
holdings through such efforts as proxy contests, shareholder resolutions,
communications with management, or the ultimate purchase of sufficient stock
to gain corporate control and with it direct access to underlying value. Beta also
assumes that the upside potential and downside risk of any investment are
essentially equal, being simply a function of that investment's volatility compared
with that of the market as a whole. This too is inconsistent with the world as we
know it. The reality is that past security price volatility does not reliably predict
future investment performance (or even future volatility) and therefore is a poor
measure of risk."[7]
Cost of capitalFrom Wikipedia, the free encyclopedia
Capital is a term used in the field of financial investment to refer to the cost of a company's funds
(both debt and equity), or, from an investor's point of view "the shareholder's required return on a portfolio
company's existing securities".[1] It is used to evaluate new projects of a company as 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.
Contents
[hide]
1 Summary
2 Cost of debt
3 Cost of equity
o 3.1 Expected return
o 3.2 Comments
3.2.1 Cost of retained earnings/cost of internal equity
4 Weighted average cost of capital
5 Capital structure
6 Modigliani-Miller theorem
7 See also
8 References
9 Further reading
[edit]Summary
For an investment to be worthwhile, the expected return on capital must be greater than the cost of capital.
The cost of capital is the rate of return that capital could be expected to earn in an alternative investment of
equivalent risk. If a project is of similar risk to a company's average business activities it is reasonable to
use the company's average cost of capital as a basis for the evaluation. A company's securities typically
include both debt and equity, one must therefore calculate both the cost of debt and the cost of equity to
determine a company's cost of capital. However, a rate of return larger than the cost of capital is usually
required.
The cost of debt is relatively simple to calculate, as it is composed of the rate of interest paid. In practice,
the interest-rate paid by the company can be modelled as the risk-free rate plus a risk component (risk
premium), which itself incorporates a probable rate of default (and amount of recovery given default). For
companies with similar risk or credit ratings, the interest rate is largely exogenous(not linked to the
company's activities).
The cost of equity is more challenging to calculate as equity does not pay a set return to its investors.
Similar to the cost of debt, the cost of equity is broadly defined as the risk-weighted projected return
required by investors, where the return is largely unknown. The cost of equity is therefore inferred by
comparing the investment to other investments (comparable) with similar risk profiles to determine the
"market" cost of equity. It is commonly equated using the CAPM formula (below), although articles such as
Stulz 1995 question the validity of using a local CAPM versus an international CAPM- also considering
whether markets are fully integrated or segmented (if fully integrated, there would be no need for a local
Once cost of debt and cost of equity have been determined, their blend, the weighted-average cost of
capital (WACC), can be calculated. This WACC can then be used as a discount rate for a project's
projected cash flows.
[edit]Cost of debt
The cost of debt is computed by taking the rate on a risk free bond whose duration matches the term
structure of the corporate debt, then adding a default premium. This default premium will rise as the amount
of debt increases (since, all other things being equal, the risk rises as the amount of debt rises). Since in
most cases debt expense is a deductible expense, the cost of debt is computed as an after tax cost to make
it comparable with the cost of equity (earnings are after-tax as well). Thus, for profitable firms, debt
is discounted by the tax rate. The formula can be written as (Rf + credit risk rate)(1-T), where T is the
corporate tax rate and Rf is the risk free rate.
The yield to maturity can be used as an approximation of the cost of debt.
[edit]Cost of equity
Cost of equity = Risk free rate of return + Premium expected for risk
Cost of equity = Risk free rate of return + Beta x (market rate of return- risk free rate of return) where Beta=
sensitivity to movements in the relevant market
Where:
Es
The expected return for a security
Rf
The expected risk-free return in that market (government bond yield)
βs
The sensitivity to market risk for the security
RM
The historical return of the stock market/ equity market
(RM-Rf)
The risk premium of market assets over risk free assets.
The risk free rate is taken from the lowest yielding bonds in the particular market,
such as government bonds.
An alternative to the estimation of the required return by the CAPM as above, is the
use of the Fama–French three-factor model.
[edit]Expected return
The expected return (or required rate of return for investors) can be calculated with
the "dividend capitalization model", which
is
[edit]Comments
The models state that investors will expect a return that is the risk-free return plus
the security's sensitivity to market risk times the market risk premium.
The risk premium varies over time and place, but in some developed
countries during the twentieth century it has averaged around 5%. The equity market
real capital gain return has been about the same as annual real GDP growth.
The capital gains on the Dow Jones Industrial Average have been 1.6% per year
over the period 1910-2005. [2] The dividends have increased the total "real" return on
average equity to the double, about 3.2%.
The sensitivity to market risk (β) is unique for each firm and depends on everything
from management to its business and capital structure. This value cannot be known
"ex ante" (beforehand), but can be estimated from ex post (past) returns and past
experience with similar firms.
[edit]Cost of retained earnings/cost of internal equity
Note that retained earnings are a component of equity, and therefore the cost of
retained earnings (internal equity) is equal to the cost of equity as explained above.
Dividends (earnings that are paid to investors and not retained) are a component of
the return on capital to equity holders, and influence the cost of capital through that
mechanism.
[edit]Weighted average cost of capital
Main article: Weighted average cost of capital
The Weighted Average Cost of Capital (WACC) is used in finance to measure a
firm's cost of capital.
The total capital for a firm is the value of its equity (for a firm without
outstanding warrants and options, this is the same as the company's market
capitalization) plus the cost of its debt (the cost of debt should be continually updated
as the cost of debt changes as a result of interest rate changes). Notice that the
"equity" in the debt to equity ratio is the market value of all equity, not
the shareholders' equity on the balance sheet.To calculate the firm’s weighted cost
of capital, we must first calculate the costs of the individual financing sources: Cost
of Debt, Cost of Preference Capital and Cost of Equity Cap..
Calculation of WACC is an iterative procedure which requires estimation of the fair
market value of equity capital.[3]
[edit]Capital structure
Main article: Capital structure
Because of tax advantages on debt issuance, it will be cheaper to issue debt rather
than new equity (this is only true for profitable firms, tax breaks are available only to
profitable firms). At some point, however, the cost of issuing new debt will be greater
than the cost of issuing new equity. This is because adding debt increases
the default risk - and thus the interest rate that the company must pay in order to
borrow money. By utilizing too much debt in its capital structure, this increased
default risk can also drive up the costs for other sources (such as retained earnings
and preferred stock) as well. Management must identify the "optimal mix" of
financing – the capital structure where the cost of capital is minimized so that the
firm's value can be maximized.
The Thomson Financial league tables show that global debt issuance exceeds equity
issuance with a 90 to 10 margin.weighted average cost of capital
[edit]Modigliani-Miller theorem
Main article: Modigliani-Miller theorem
If there were no tax advantages for issuing debt, and equity could be freely
issued, Miller and Modigliani showed that, under certain assumptions, the value of a
leveraged firm and the value of an unleveraged firm should be the same.
[edit]See also
Preference share
Ordinary share
[edit]References
1. ̂ Brealy &al. "Principles of Corporate Finance", Chapter 10
2. ̂ Fred's Intelligent Bear Site
3. ̂ Business Valuation Glossary - WACC Calculation using an Iterative
Procedure
What’s Really Wrong with Using RONA, and What’s Better?
By Bennett Stewart
Chairman and Chief Executive, EVA Dimensions LLC
In this paper I explain why rate-of-return measures like RONA and ROI inevitably mislead
managers into making serious mistakes in allocating capital and in even basic management
decisions. CFO’s should stop using RONA and ROI, and should instead make capital a cost, a
charge to profit, like any other cost, and then get everyone to focus on maximizing the growth
rate in the residual economic profit.
RONA, ROI, ROE, IRR, take your pick. Each is a way to measure the productivity of capital, to relate
profit to invested capital, or cash flow to spending, and quantify the rate of return earned after getting
the money back. Returns matter. Earning a return over the cost of capital is a prerequisite for adding
value and enriching the owners. The higher the return, the more value is being created with the capital.
A CFO may also logically assume that a business line earning a higher return may be a better candidate
than another for further investment and growth – assuming past results can be replicated. A higher
projected return also provides assurance that a given decision or plan is more secure. Key assumptions
can slip, yet value can still be added or at least preserved when the expected return is higher going in.
And as an analytical tool, RONA can be traced to operating margins and asset turns, in accord with the
classic DuPont formula, and used to give line teams a rounded view of operating performance and
balance-sheet asset management. For many reasons, return measures like RONA have earned a
prominent role in financial management over the years. But I come not to praise RONA. I come to bury
it.
RONA and its variants actually are highly misleading and incomplete performance indicators, for reasons
I will explain. And the deficiencies are far from academic. As you will see, companies that have aimed
to increase RONA or maintain a high one have committed major blunders in strategy and resource
allocation. And when RONA is judged from the bird’s eye view of how well it performs as an element in
a firm’s overall financial system, it fails, or at least, it is far inferior to another approach which is based
on using economic profit, or EVA as I like to call it (for economic value added), as I shall also elaborate.
RONA fundamentally fails because it is inconsistent with what is – or should be – the main mission of
every firm, which is to maximize the wealth of its owners by maximizing the net present value of all
existing and projected investments. The goal, in short, is to maximize the difference between the capital
that investors have put or left in the business and the present value of the cash flow that can be taken
out of it, a difference I call MVA, standing for market value added.
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Take an example. A company that trades for a total market value or “enterprise value” of $1 billion, and
where $600 million of capital has been invested in its net business assets, has created an MVA of $400
million, the difference. That measures how much wealth the firm has created for the owners by
comparing what they have put in with what they can get out. Put another way, it is “franchise value,”
the value of the business above just putting the assets in a pile. It is also, mathematically, the market’s
assessment of the net present value, or NPV, of all investments, those already in place plus those
expected to materialize down the road. Increasing MVA – or maximizing corporate NPV, if you will – is
therefore every company’s most important financial goal, as any corporate finance text will remind us,
for it not only maximizes the owner’s wealth but at a macro level it generally leads to an optimal
allocation of scarce resources and the greatest possible growth in the standard of living.
Here’s the problem in a nutshell. RONA tells us about the ratio of market value-to-invested capital, but
that is not the same thing as maximizing the spread between market value and invested capital, which is
the real goal. A company that aims to maximize RONA will always tend to hold back and underinvest,
under-innovate, under-scale, and under grow. It will leave value and growth on the table, and become
vulnerable to a hostile takeover or a toppling by upstart rivals, as I will demonstrate.
The glaring deficiency of RONA first became apparent to me in the early 1980s, when I had the privilege
of advising The Coca-Cola Company. The company at the time was fabulously profitable, earning about
a 25% return on its capital, but the company was reluctant to put the Coke name on growth products –
Cherry Coke, Diet Coke, Caffeine-Free Coke – because those products were reckoned to earn only a 20%
return, not 25%, and would dilute the rate of return on the Coke brand. Worse, the company had made
a mistake 100 years before. The founders had granted perpetual franchise licenses to bottlers that by
1980 were in economically undersized territories, and in many cases run by lackadaisical third
generation owners. Coke needed to buy them up, consolidate contiguous regions, install hungry
operators, and revise its pricing formula. But again, the capital to be invested in that vital strategy could
not approach the phenomenal return from one of the world’s most valuable brands. So Coke was stuck,
because management was stuck on maintaining its high RONA.
The solution for Coke, as it is for every other company, was to let go of RONA and instead to define
success as growth in economic profit or EVA. EVA replaces RONA’s percent ratio with a money measure
of total value added. EVA is equal to the percent spread of RONA less the cost of capital, multiplied by
the amount of capital invested in the business, which means that EVA is the dollar spread of the return
versus the cost of capital. Put another way, EVA is the dollar economic profit after deducting all costs,
including the cost of capital. The distinction may appear subtle and effete. After all, EVA uses the same
data as RONA – to measure profit less the cost of capital instead of profit divided by the capital. I’ve
even had CFO’s tell me they are using EVA when they are actually using RONA or return on capital. But
in fact, the two are not the same at all, and the difference is quite profound and incredibly far reaching.
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Let’s go back to Coke. At the time that management was confronted with the decision to expand or
punt, Coke’s weighted average cost of capital was about 10%, so it was earning a RONA return about
15% above that cost. Coke was thus earning an EVA profit of $150 for every $1,000 of invested capital.
Suppose to roll out the new products and acquire bottlers, Coke would double its invested capital, while
only earning a 20% return on the new money put into the business. Then its RONA would fall half way,
from 25% to 22.5%, and its spread over the cost of capital would narrow from 15% to 12.5%. But the
spread would be multiplied by twice the amount of capital, by $2,000, for an EVA of $250, an increase of
$100. This is a classic example of where RONA goes down and yet EVA and share price go up.
Coke’s managers wisely decided to go for more EVA and let their focus on RONA lapse, which is always
the right decision, at least in principle. By setting aside the cost of capital, EVA automatically deducts
the profit that must be earned to recover the amount of capital that has been or will be invested, and
so, a projection for EVA always discounts to the exact same net present value you get by discounting the
projected cash flow.
I say this with great conviction and emphasis because we have developed a software tool that
automatically calculates NPV by discounting both cash flow and EVA, and it always gives the same
valuation answer for a given forecast. Please understand that the equality is not a theory or something
you might or might not “believe.” It is a mathematical truth, just as 2 + 2 = 4. And so, everything that
validates cash flow or discounted cash flow as a management tool automatically validates EVA as well.
Discard EVA, and you might as well discard discounted cash flow, for they come to the same thing. But
putting the math aside, which need not trouble us here, consider the implications.
If a company or business line or business project is forecast to just break even on EVA, to just earn the
cost of capital, then that business or investment is just worth the book value of its invested capital.
There is no franchise value, there is no owner wealth, and there is no NPV if the profit only but covers
the cost of capital. But once EVA turns positive, then the greater it is, the faster it grows, and the longer
and more surely it endures, the greater is the NPV and MVA. For this reason, Fortune magazine dubbed
EVA “the Real Key to Creating Wealth” in a cover story article that first introduced EVA to the business
world, way back in September 1993.
Recognizing this, Coke decided in the early 1980s to expand its product portfolio and acquire its bottlers
– which it might not have been done had RONA remained the measure that mattered. The decision led
the company to such a phenomenal improvement in its EVA profit that by 1996 Coke was producing the
most MVA wealth of any American firm, as Fortune chronicled in a story titled “America’s Best and
Worst Wealth Creators” featuring Coke’s legendary CEO, Roberto Goizueta, on its cover.
Other companies were not so lucky, Anheuser-Busch among them. For years the beer behemoth had
opportunities to invest, acquire and grow globally, but turned all of them down, leaving the firm ring-
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fenced and vulnerable to a hostile takeover. On November 18, 2008, the company reluctantly
succumbed to the Brazilian-Belgian brewing company InBev. A-B became a target because its CEO,
August Busch, refused to dilute the RONA the firm was garnering in its U.S. beer business by entering
more competitive overseas markets. As one advisor close to the company explained it:
“When you have a business that was as profitable as his [August Busch III, CEO] was, where the
returns were as strong as his were, I’m not sure anyone would be so smart to say, “We’ve got to
take over the world,” said one A-B adviser. “We understand now why he should have, but it
would have diluted his margins and his returns.”
Dethroning the King
By Julie Macintosh
As a sidebar, InBev, the buyer, grew out of Brahma Beer, the first Brazilian company to adopt EVA. I
helped Brahma to adopt EVA in 1996 after I got a call from the CEO, Marcel Telles, who became aware
of EVA after First Boston published an analyst report on Brahma using EVA. Marcel was so intrigued he
asked the analyst, “Where can I learn more about EVA,” which led to me. We spent about 6 months
developing a program to measure EVA throughout the company, and it became a key asset and
capability of the firm that helped it to successfully gobble up many other brewers and eventually
become the world’s largest and most successful.
Coke and Anheuser-Busch are not isolated examples. You probably know that Steve Jobs and Intel’s
Andrew Grove’s favorite business book is The Innovator’s Dilemma by Harvard Professor Clayton
Christensen. The book chronicles how established industry leaders almost always cede their top spot to
upstarts that start small, in the low-margin end of the business, and then over time take over the whole
business. It led Andrew Grove to coin the expression, “Only the paranoid survive,” which is perhaps
one solution. But Christensen thought there must be another more fundamental reason why this
happens over and over, and which would lead to a different remedy than paranoia to cure the
Innovator’s Dilemma. It is, unsurprisingly, to give up on a “finance orthodoxy” that worships at the
RONA church:
After puzzling over this mystery for a long time, he finally came up with the answer: it was owing to the
way the managers had learned to measure success. Success was not measured in numbers of dollars but
in ratios. Whether it was return on net assets, or gross margin percentage, or internal rate of return, all
these measures had, in the past forty years, been enshrined in a near-religion (he liked to call it the
Church of New Finance), by partners in hedge funds and venture-capital firms and finance professionals
in business schools. People had come to think that the most important thing was not how much profit
you made in absolute terms but what but what percentage profit you made on each dollar you put in.
And that belief drove managers to shed high-volume but low margin products from their balance
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sheets… this is why he called it a church-- it was an encompassing orthodoxy that made it impossible for
believers to see that it might be wrong.
“When Giants Fail – What Business Has Learned From Clayton Christensen”
By Larissa MacFarquhar
The New Yorker, May 14, 2012
RONA is simply not conducive to corporate health. The bottom line is this: EVA is additive, but RONA is
not. Add something good to something great and EVA is greater still. Add a low margin business to a
strong one, and EVA increases so long as the cost of capital is covered. EVA is a measure to maximize,
because more is always better than less, because more EVA is more NPV is more owner wealth. But
that’s just not true of RONA. There is literally no way to tell whether a company or division is better off
reporting a higher or lower RONA, taken by itself. Of course, you can always bring in other factors like
growth and combine them with RONA, but all you are really doing is trying to recreate EVA by imperfect
proxy. Why not make it simpler and more accurate and just go for the real thing? Why not focus on a
single measure that accurately scores the actual total value added by a business, by a plan, or by a
decision, which is exactly what EVA does?
RONA is not only a misleading and incomplete measure at the corporate or line of business level, as I
have discussed so far. It also fails to provide reliable insights concerning the configuration of individual
projects, particularly when questions of how big, how fast, how many, and how much come into play.
Most investments, and most strategies for that matter, are characterized by increasing and then
decreasing returns to scale. As more money is plowed in, the return initially grows larger and larger as
unavoidable fixed costs are covered and market traction is gained. But at some point diseconomies set
in and the returns begin to tail off as investment spending is stepped up even further. This dynamic
causes companies that focus on RONA to almost always undersize their investments and leave profitable
growth and added value on the table.
As an example of this general phenomenon, consider the decision of how high to build a building.
Suppose analysis shows a 10-storey building won’t even cover the cost of capital. Its internal rate of
return (IRR), or RONA (assuming for simplicity that the returns are even), is only 5% when the cost of
capital is 10%. The building is so small that the rental income cannot even cover the full fixed cost of the
land. It’s a negative NPV project, and not worth considering except as a stepping stone.
On the next step up the ladder, a 20-storey building costs $20 million, let’s say, and it generates an 18%
RONA, and an NPV of $16 million. The return climbs because the additional rental income and higher
rental rates that management can charge for the higher floors is gravy to cover fixed costs. This is an
example of “increasing returns to scale.”
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But now it gets complicated. A 30 storey building costs $40 million, or twice as much to construct. It’s
more expensive per floor, and generates a RONA of only 15%. Extra elevator banks must be added,
which cuts into rentable space on all floors. The building requires sturdier reinforcement and takes
significantly longer to construct, which delays the start of revenues. All these elements conspire to
reduce the overall RONA of the proposed 30-storey building to less than the rate of return projected on
the 20-story building. This is an example of “diseconomies of scale” creeping in. Nevertheless, the 30-
story building does show a higher NPV. The NPV is estimated to be $20 million, or $4 million more than
for the 20-storey building.
The final candidate is a gleaming 40-storey tower, costing a whopping $70 million to construct, and
generating a RONA of just 10%, and NPV of $0, as even more diseconomies of scale set in. It is however
a magnificent structure and it generates gushers of cash flow and EBITDA– after the investment has
been made – neither of which are important in the question of allocating scarce resources.
So what’s the correct decision – the 20-storey edifice that maximizes RONA, the 30-story one that
maximizes NPV, or the 40-story tower that maximizes EBITDA? True, the 20 and 30 storey projects are
both acceptable, being that both earn returns more than the cost of capital and generate positive NPV.
But the 30-storey project is the best project, because it’s the one that maximizes NPV. It maximizes the
spread between capital put in and the value gotten out. It maximizes corporate MVA, owner wealth,
franchise value, and societal well-being by using scarce resources up to the point where incremental
value added still exceeds the incremental resource cost.
There are two ways to see this. Compared to the 20-storey project, the 30-storey project costs another
$20 million in investment, but generates an extra $4 million in net present value on top of that. Simply
put, the incremental project to build from 20 to 30 stories is attractive in its own right. Why turn that
down just to maximize RONA? And the same reasoning applies to why management should NOT build a
40-storey tower, for that is the same as taking on the 30-storey building, for a positive NPV, and then
adding another project to build to the 40
th
floor, which is a negative NPV use of the added capital.
The 30-storey project is also distinguished by its larger EVA. The annual EVA profit of the 20-story
building is (18% - 10%) x $20 million, or $1.6 million. The EVA of the 30-storey building is considerably
higher, actually 25% higher – it is (15% -10%) x $40 million, or $2 million. True, it’s a lower rate of
return, but it is earned on more capital. Size matters, too. The right answer is always to choose more
EVA, since that always translates into more NPV, which is why it is so important to use EVA not just to
judge the performance of whole lines of business but also to use it for judging – and actually helping to
improve -- the value of individual projects. And the best way to make sure that happens is to stop using
discounted cash flow to measure NPV, and instead to get business managers and finance professionals
to start projecting, analyzing and discounting EVA to measure and improve the NPV of plans, projects
and acquisitions! By using EVA to make the decisions and set the plans that will maximize NPV, and also
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to use it to monitor and analyze actual performance after the fact, the finance process is fundamentally
simpler and more cohesive – the same measure matters in both directions. It also makes managers
more accountable for delivering the value they promised by realizing the EVA they projected.
Companies that use cash flow and RONA may think they are doing the right thing, and the simple thing,
but that is just not true. EVA is easier, and better, once you get there.
But do not just take my word for it. The pitfalls of IRR and by extension RONA are well recognized in the
finance literature. Scholars with no axe to grind join me in recommending that corporate managers stop
using IRR and RONA. Consider this excerpt from world’s best-selling corporate finance textbook,
Principles of Corporate Finance, by Stewart C. Myers (MIT Sloan), Richard A. Brealey (London Business
School) and Franklin Allen (Wharton):
Many firms use internal rate of return (IRR) in preference to net present value. We think that is a
pity….Financial managers never see all the possible projects. Most projects are proposed by
operating managers. A company that instructs non-financial managers to look first at project
IRR’s prompts a search for those projects with the highest IRR’s rather than the highest NPVs. It
also encourages managers to modify projects so their IRR’s are higher. Where do you typically
find the highest IRR’s? In short lived projects requiring little up-front investment. Such projects
may not add much value to the firm.
The bottom line is this: When there are decisions about how many SKUs to carry, how much advertising
to do or research to perform, how big to build a warehouse, plant, or building, how many stores to open
and how much working capital to stock, whenever questions of scaling and growing must be weighed
against margins and returns, or even, how should a product be configured and priced, or a production
function fulfilled, then RONA- and IRR-minded managers are always apt to under-scale and under-invest
and under-innovate compared to managers that are aiming to maximize EVA and NPV.
I was going over all this recently with Mike Archbold, the President and Chief Operating Officer of the
up-and-coming specialty retailer, Vitamin Shoppe, where he was instrumental in establishing a financial
focus on EVA. “Bennett,” Mike said, “your building example resonates with me, but we call it the “S”
curve. We see it all the time. Declining returns, followed by ramping returns, followed by cresting
returns. When I was CFO at Autozone, we got EVA so embedded as a financial discipline that even the
marketing department got quite sophisticated at projecting the “S” curve on marketing campaigns and
we’d always look for the point to maximize the EVA profit.
“And here at Vitamin Shoppe, we’ve used an outside vendor to help us with automatic inventory
restocking, which is actually a complicated problem, or at least we think so, because we look for the
solution that maximizes our EVA, taking account all the tradeoffs. You’ve got to balance lead times,
order size, inventory investment, warehouse and shipping costs, and the risk you are stocked-out and
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lose a sale and disappoint a customer, which means that cost is more than just the lost sales, but a bad
customer experience. But we told our vendor, we want to put a price on everything and solve the
program to maximize the expected net EVA profit, and it worked fabulously for us.
“The vendor, though, was quite surprised by our request, because their clients almost always ask them
to just maximize the in-store stocking rate, to make sure they have the product on the shelves to never
miss a sale. But that uni-dimensional focus is just as wrong as focusing on the return on capital or
RONA. I mean, if RONA was the answer, it would really discourage us from ever making labor saving
capital investments. Why invest capital, even if it’s cheaper than the labor it replaces, when the capital
goes into the denominator of the RONA computation and labor doesn’t. That’s nuts. And that’s how I
can tell if a business operator is really business savvy. If they get EVA, they get value, and I can trust
them to get the right decisions done. And if they don’t get EVA, what does that say?”
RONA can also be severely criticized for a number of mundane but very practical deficiencies. For
example, RONA critically depends on how management decides to define the “net assets” in the
denominator. Should excess cash or retirement “assets” or deferred tax accounts be left included? How
about off-balance-sheet-leased assets? Should assets be measured net of impairment charges or at
original value? Should assets be revalued or at historic costs? Should capital include all debt and equity
or just equity? The answers to these questions can profoundly swing a RONA or ROI computation, and
while EVA is not totally immune from these choices, it is far more resilient because capital is a cost, and
not a denominator. For instance, EVA is essentially the same whether leases are capitalized or
expensed or whether capital is defined as debt plus equity or just equity alone. You can either pay for
capital explicitly, by deducting rent expense or interest expense from the profit, or implicitly, as part of
the weighted average capital charge deducted from EVA, and the resulting EVA is the same either way,
whereas the RONA would be very different. And besides, the emphasis should always be on the change
in EVA, and not EVA per se, which also makes it even more immune to how the capital base is defined.
RONA is also highly distorted and essentially meaningless for new economy companies that tend to
employ trivial amounts of capital. Apple’s RONA, for instance, has been phenomenally high and
extremely volatile and basically useless as a performance indicator over the past decade, because its
new-economy capital base is so lean and variable. By contrast, its EVA steadily increased, from 4% of
sales to 18% of sales, as a clear indication of the increasing productivity and profitability of the firm’s
business model. Another example is Blue Nile, the discount internet jeweler, which effectively has
negative capital. Cash from sales and trade funding is so prodigious it exceeds the firm’s meager
investment in inventories and fixed assets. And with negative capital, its RONA is truly meaningless.
Under EVA, though, negative capital simply counts as a profit rebate. EVA is credited with the value of
investing the capital float at the firm’s cost of capital. As a result, Blue Nile’s EVA has been positive and
generally increasing, and as a percent of sales typically runs in the range of 3% to 4.5%, which puts Blue
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Nile’s business model around the 65
th
to 75
th
percentile in terms of how capable it is of driving EVA
profit to the bottom line per dollar of sales.
The key point once again is that EVA makes capital a cost, an understandable charge to earnings just like
cost of goods sold, and not into a ratio denominator, so once you’ve computed EVA, and accounted for
the cost of capital, you are no longer obliged to divide by capital to bring capital into the picture; that
would be redundant. You can instead divide EVA by sales, say, to compute an “EVA Margin,” and then
say that EVA is our EVA Margin multiplied times our sales. You can make the management and
maximization of value into a profit-margin and sales-based system, which is a heck of a lot more
understandable to operating folk than a return on capital times capital approach.
And while we are on the subject, the EVA profit margin turns out to be generally a far better, more
comparable and more universally applicable summary measure of business model productivity and
profitability than RONA. You’ll see this in an outsourcing question I discuss a little later on, for instance.
Also, when you take the EVA Margin apart and trace it to the underlying performance drivers that
explain it, to indicators like gross margin, working capital days, plant turns, tax rates and the like, as we
do on the so-called EVA Margin schedule, you end up with an analytical tool that is way better than the
Du-Pont ROI formula. The EVA Margin schedule puts all costs, operating costs and capital costs, on the
same footing, as a percent of sales charge to the margin. It uses simple plus and minus math to measure
the impact of all performance drivers, where DuPont ROI is multiplicative -- you multiply the operating
margin times the asset turns -- which is fuzzy logic indeed. The incremental impact of improving the
margin depends on the asset turns, and vice versa, which confounds all but the mathematicians.
Understandably, CFO’s are now moving in droves to using custom EVA Margin schedules as their main
analytical tool to replace DuPont ROI analysis, because it makes it easier for them and their line teams to
size up the relative significance of individual performance drivers, to make decisions involving tradeoffs,
to spot notable trends, gaps and opportunities, and to benchmark with peers.
Another practical problem with RONA is that it is very tricky to apply to internal divisions that must be
assigned assets. The knee jerk reaction of line operators is to reject the allocation of assets to their
business units in order to keep their RONA up. But when the emphasis is instead placed on increasing
EVA, managers shift gears and want to be assigned all the assets that they can legitimately manage. An
initial assignment of assets reduces their division’s initial EVA, but that does not matter. What matters
is whether they are able to better manage the assets they are assigned and by so doing to improve their
EVA going forward. EVA depoliticizes the management of the assets, and focuses on performance at the
margin, ignoring irrelevant sunk costs. RONA by contrast is inherently based on an accumulation of
irrelevant sunk costs, and it encourages endless arguing over the internal allocation of assets.
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I must toss one last grenade in the RONA direction before discussing “what’s better” (I did come to bury
it, after all). RONA is so inherently biased against integration and generally so in favor of outsourcing it
pushes activities out that should stay in.
Let’s take a company that is considering moving computer systems and services from in-house
management to the cloud. The company currently has $1000 in capital, and is earning $150, for a 15%
15% return. With a 10% cost of capital, its EVA is $50. Suppose the company is able to remove $200 in
computer assets to the cloud for the same total cost, so that the firm’s EVA and the EVA/Sales Margin
remain the same. It’s a pure break even exchange. The outside cost and the inside cost, including the
cost of capital, are identical, let’s say.
Even so, the firm’s RONA automatically and misleadingly increases to 16.25% (because 16.25% - 10%,
times $800 in capital, is the firm’s $50 EVA, which has not changed, by definition). In other words, the
outsourcing maneuver leads to a higher rate of return, but on less capital, for the same EVA. It’s truly
value neutral, but RONA was tricked into paying the decision a compliment it did not deserve.
RONA is so biased in favor of outsourcing that it motivates firms to go bulimic, to become so lean and
hollowed-out they eventually cut beyond the fat and into muscle, giving up essential long run sources of
competitive advantage, and really paying more for services they could perform more cheaply in house,
all costs included. EVA, by contrast, favors outsourcing only where a third party partner has clear
advantages that enable it to perform a function at such a truly lower total cost that it overcomes the
disadvantages of having to contract and deal with an outside vendor.
I’ll give you an example. One of my EVA clients in the early 1990s was Equifax, the credit reporting
bureau. It was then run by Jack Rogers, a former IBM senior officer who was intimately familiar with
IBM’s computer capabilities, so he thought that outsourcing Equifax’s extensive computer operations to
IBM could make sense, if properly structured, even though the move would be quite counter-cultural.
But to his credit, rather than mandating the decision, or asking his team to simply trust his business
judgment, which was by the way considerable, he said, “we have to run the EVA on it -- It could be
good, it could be bad, it’s EVA that will tell us.” As it happened, the facts and figures clearly showed an
EVA advantage to turning over the company’s computers and operations to IBM, while Equifax retained
its real franchise value in its hold on personal credit statistics and market presence. That was the very
first large outsourcing transaction of its kind (which is why IBM for years used Equifax’s decision to
showcase the merits of its outsourcing solution, based on the EVA analysis). As Equifax demonstrates,
moving assets into the cloud or offshore for that matter can make sense -- if it generates more EVA, but
never because it increases RONA. An improved RONA is at best a by-product of making the right
NPV/EVA decision, but should never be the prime motivator.
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To say it one last time, only EVA always gives the right answer, to sourcing decisions or any other,
because it’s the only measure that literally discounts to the net present value of discounted cash flow.
There is no a priori reason to expect RONA to give the right answer, and it frequently doesn’t, and there
is every reason to think EVA will give the right, value maximizing answer, and in my experience, it does,
and it does with more clarity, simplicity and accountability than any other approach.
So then, why do so many CFOs persist in using RONA and related rate-of-return metrics, when they are
so bad? I think there are two reasons. For one, RONA’s a ratio. It permits performance comparisons
and investment rankings regardless of size. Its very defect is an advantage in giving CFOs a way to rate
performance across divisions that differ in scale and to compare projects that vary in investment
commitment. It “common-sizes” the comparisons. Another reason is that a ratio replacement for
RONA has not existed. For all its shortcomings, it was the best ratio kid on the block for ranking
performance and investments. What was better?
Until recently, nothing. But now, a set of new ratio metrics developed by EVA Dimensions offer CFOs all
the advantages of size-adjusted performance indicators without sacrificing the critical link to maximizing
the money value of NPV and owner wealth and overall corporate profit performance. The new ratios
are, unsurprisingly, all based on EVA. The very good news is that the new EVA ratios can completely
replace RONA and IRR and even operating margins with a management framework that is fundamentally
more accurate, simpler to use and understand, more informative, and considerably more effective as a
practical framework for value-based corporate planning and decision making. Accept my premise, and
there is no longer a reason ever to look at RONA, or ROI, ROE, or IRR, ever again.
I explain this “second-generation” EVA framework in companion papers, and I’ve already alluded to one
of them, the EVA Margin, in this discussion. But the most important new EVA ratio is a real
breakthrough in the art of value-based corporate financial management, superseding even EVA Margin
as the key metric that matters. It is called EVA Momentum. It is the change in EVA divided by priorperiod sales. It is the size-adjusted growth rate in EVA, scaled to sales. It can be measured quarter to
quarter, year to year, over multiple years as a trend, and even better, over the life of a business plan. It
is a statistic. However viewed, it is the only ratio where bigger is always better, because it gets bigger
when EVA gets bigger, which means NPV and MVA are getting bigger too.
It is the sole ratio measure that totally and correctly summarizes the performance of any business in all
ways that add value or that subtract from it. It solves the innovator’s dilemma, and correctly guides all
decisions by correctly incorporating all tradeoffs. Most important, it can serve as every company’s most
important financial goal, applicable to all lines of business, regardless of their capital intensity and
inherited performance conditions.
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For example, it gives managers in turnaround businesses the opportunity to shine by making their
negative EVA less negative. At the same time, it does not reward managers in stellar businesses that
just tread water and maintain a positive EVA profit. Instead, it puts a Bunsen burner under the behinds
of managers in those well-endowed businesses to keep scaling, growing and innovating rather than just
resting on their laurels, and perhaps to even reduce their margins and returns if that is what it takes to
increase EVA and maximize value.
The point is, unlike all other ratio indicators, managers can legitimately aim to maximize EVA
Momentum without being misled into making dumb decisions. It can be used instead of RONA as the
key measure of performance and the arbiter of the quality and value of business plans. Put simply, a
business plan is better if it can credibly generate a greater EVA Momentum growth rate over the 3-5
year plan horizon, for the greater the planned Momentum, the greater the NPV of the plan and
contribution to the firm’s share price. CFO’s are now using EVA Momentum to help their line teams
develop better, more valuable plans, by seeing how they can generate more EVA Momentum. And they
are tracing EVA Momentum to underlying metrics and milestones, including the EVA Margin, and Margin
schedule, to end up with scorecards that are more comprehensive, value-based, and topped with an
actual score.
When you pull together the complete set of new EVA ratio metrics, and use them as the key
performance statistics, financial goals, plan targets, and financial analytical tools, and, when you stop
discounting cash flow and instead forecast, analyze and discount EVA to measure and improve the value
of plans, projects, acquisitions and decisions, you have the simplest and most effective way to run a
business for maximum performance and added market value. And with new software tools, data bases,
and training and support services from EVA Dimensions, you can get there faster and more effectively,
and at a lower price point, than ever before possible.
Bennett Stewart is Chairman and CEO of EVA Dimensions, a financial technology firm that provides EVA -
based software, data -bases and training and support services to its corporate clients, and EVA-based
equity research services to major institutional investors. www.evadimensions.com
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