accounts glossary
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Web : http://pages.stern.nyu.edu/~adamodar/
Accounts - Glossary
Abnormal return (excess return): Difference between the actual returns on an
investment and the expected return on that investment, given market returns andinvestment's risk..
Accelerated depreciation: A depreciation method where more of the asset is written off
in earlier years and less in later years, over its lifetime, to reflect the aging of the asset.
Accounting beta: Beta estimated using accounting earnings for a firm and accounting
earnings for the market, rather than stock prices.
Accrual accounting: Accounting approach, wherethe revenue from selling a good or
service is recognized in the period in which the good is sold or the service is performed
(in whole or substantially). A corresponding effort is made on the expense side to match
expenses to revenues.
Acquisition premium: Difference between the price paid to acquire a firm and the
market price prior to the acquisition.
Acquisition price: Price that will be paid by an acquiring firm for each of the target
firm shares.
Adjustable rate preferred stock: Preferred stock where the preferred dividend rate is
pegged to an external index, such as the treasury bond rate.
Agency costs: Costs arising from conflicts of interest between two stakeholders;
examples would be managers & stockholders as well as stockholders & bondholders.
Allocation: Process of distributing a cost that cannot be directly traced to a revenue
center across different units, projects or divisions.
American options: An option that can be exercised any time until maturity.
Amortizable life: A period of time over which an intangible asset is written off.
Annual percentage rate (APR): A rate that has to be cited with loans and mortgages in
the United States. The rate incorporates an amortization of any fixed charges that have to
be paid up front for the initiation of the loan.
Annuity: A stream of constant cash flows that occur at regular intervals for a fixed
period of time.
Arbitrage position: A riskless position that yields a return that exceeds the riskfree rate.
Arbitrage principle: Assets that have identical cash flows cannot sell at different prices.
Asset beta: The beta of the assets of investments of a firm, prior to financial leverage.
Can be computed from the regression beta (top-down) or by taking a weighted average of
the betas of the different businesses (bottom-up).
Asset-backed borrowing: Bonds or debt secured by assets of any type. Mortgage bonds
and collateral bonds are special cases.
Assets-in-place: The existing investments of a firm.
Bad debts: Portion of loans that cannot be collected (if you are the lender) or will not be
paid (if you are the borrower).
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Balance sheet: A summary of the assets owned by a firm, the book value of these assets
and the mix of financing, debt and equity, used to finance these assets at a point in time.
Balloon payment bonds: Bonds where no principal repayment is made during the life of
the bond but the entire principal is repaid at maturity.
Bankrupt: The state in which a firm finds itself if it is unable to meet its contractual
commitments.Barrier options: An option where the payoff on, and the life of, the option are a function
of whether the underlying asset price reaches a certain level during a specified period.
Baumol model: Model for estimating an optimal cash balance, given the cost of selling
securities and the interest rate that can be earned on marketable securities, for firms with
certain cash inflows and outflows.
Best efforts guarantee: Underwriting agreement on a security issue where the
investment banker does not guarantee a fixed offering price.
Beta: A measure of the exposure of an asset to risk that cannot be diversified away (also
called market risk). It is standardized around 1. (Average = 1, Above average risk >1)
Binomial option pricing model: Option pricing model based upon the assumption thatstock prices can move to only one of two levels at each point in time.
Book value: Accounting estimate of the value of an asset or liability, usually from the
balance sheet of the firm.
Bottom-up betas: Beta computed by taking a weighted average of the betas of the
businesses that a firm is in. These betas, in turn, are estimated by looking at firms that
operate only or primarily in each of these businesses.
Building the book: Process of polling institutional investors prior to pricing an initial
offering, to gauge the extent of the demand for an issue.
Call market: A market where an auctioneer (or a market maker) holds an auction at
certain times in the trading day and sets a market-clearing price, based upon the ordersgrouped together at that time.
Callable bonds (debt): Debt (bonds), where the borrower has the right to pay the bonds
back at any time. The option to pay back will generally be used if interest rates decrease.
Cap: The maximum interest rate on a floating rate bond.
Capital expenses: Expenses that are expected to generate benefits over multiple periods.
Accounting rules generally require that these expenses be depreciated or amortized over
the multiple periods.
Capital lease: The lessee assumes some of the risks of ownership and enjoys some of
the benefits. Consequently, the lease, when signed, is recognized both as an asset and as a
liability (for the lease payments) on the balance sheet.Capital rationing: Situation that occurs when a firm is unable to invest in projects that
earn returns greater than the hurdle rates because it has limited capital (either because of
internal or external constraints).
Capped call: A call where the payoff is restricted on the upside. If the price rises above
this level, the call owner does not get any additional payoff.
Cash flow to equity investors: Cash flows generated by the asset after all expenses and
taxes, and also after payments due on the debt.
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Cash flow to the firm: Cash flows generated by the asset for both the equity investor and
the lender. This cash flow is before debt payments but after operating expenses and taxes.
Cash slack: Combination of excess cash and limited project opportunities in a firm.
Cashflow return on investment (CFROI): Internal rate of return on the existing
investments of the firm, estimated in real terms, using the original investment in the
assets, their remaining life and expected cash flows.Catastrophe bond: A bond that allows for the suspension of coupon payments and/or
the reduction of principal, in the event of a specified catastrophe.
Certainty equivalent (cash flow): A guaranteed cash flow that you would agree to
accept in exchange for a much larger and riskier cash flow.
Chapter 11: Legal process governing bankruptcy proceedings.
Clientele effect: Clustering of stockholders in companies with dividend policies that
match their preferences for dividends.
Collateral bond: Bond secured with marketable securities
Combination leases: A lease that shares characteristics with both operating and capital
leases.Commercial paper: Short term notes issued by corporations to raise funds.
Commodity bond: A bond whose coupon rate is tied to commodity prices.
Competitive risk: Risk that the cash flows on projects will vary from expectations
because of actions taken by competitors.
Compound options: An option on an option.
Compounding: The process of converting cash flows today into cash flows in the future.
Concentration banking: System where firms pick banks around the country to process
checks, allowing for the faster clearing of checks
Consol bond: A bond with a fixed coupon rate that has no maturity (infinite life).
Consolidation (in mergers): A combination of two firms wherea new firm is createdafter the merger, and both the acquiring firm and target firm stockholders receive stock in
this firm.
Consolidation (in accounting statements): The accounting approach used to show the
income from ownership of securities in another firm, where it is a majority, active
investment. The balance sheets of the two are merged and presented as one balance sheet.
The income statements, likewise, represent the combined income statements of the two
firms.
Contingent liabilities: Potential liabilities that will be incurred under certain
contingencies, as is the case, for instance, when a firm is the defendant in a lawsuit.
Contingent value rights: Securities where holders receive the right to sell the shares inthe firm at a fixed price in the future; it is a long term put option on the equity of the firm.
Continuing value: present value of the expected cash flows from continuing an existing
investment through the end of its life.
Continuous market: A market where prices are determined through the trading day as
buyers and sellers submit their orders.
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Continuous price process: Price process where price changes becoming infinitesimally
small as time periods become smaller.
Conversion premium: Excess of convertible bond market value over its conversion
value.
Convertible bond: Abond that can be converted into a pre-determined number of shares
of the common stock, at the discretion of the bondholderconversion ratio (in convertible bond): Number of shares of stock for which a
convertible bond may be exchanged.
Convertible preferred stock:: Preferred stock that can be converted into common
equity, at the discretion of the preferred stockholder.
Cost of capital: Weighted average of the costs of the different sources of financing used
by a firm.
Cost of debt (pre-tax): Interest rate, including a default spread, that a borrower has to
pay to borrow money.
Cost of debt (after-tax): Interest rate, including a default spread, that a borrower has to
pay to borrow money, adjusted for the tax deductibility of interest.Cost of equity: The rate of return that equity investors in a firm expect to make on their
investment, given its riskiness.
Cumulative abnormal (excess) returns (cars): Difference between the actual return on
an investment and the expected return, given market returns and stock's risk, cumulated
over a period surrounding an event (such as an earnings announcement).
Current assets: Short-term assets of the firm, including inventory of both raw material
and finished goods, receivables (summarizing moneys owed to the firm) and cash.
Current PE: Ratio of price per share to earnings per share in most recent financial year.
Debentures: Unsecured bonds issued by firms with a maturity greater than 15 years.
Debt Exchangeable for Common Stock(decs).: Debt that can be exchanged forcommon stock, with the conversion rate depending upon the stock price.
Debt: Any financing vehicle that has a contractual claim on the cash flows and assets of
the firm, creates tax deductible payments, has a fixed life, and has priority claims on the
cash flows in both operating periods and in bankruptcy.
Default risk: Risk that a promised cash flow on a bond or loan will not be delivered.
Default spread: Premium over the riskless rate that you would pay (if you were a
borrower) because of default risk.
Deferred tax asset: Asset created when companies pay more in taxes than the taxes they
report in the financial statements.
Depreciation: Accountingadjustments to the book value of an asset for the aging andsubsequent loss of earning power on it. Applies when you have a capital expenditure.
Direct cost of bankruptcy: Costs include the legal and administrative costs, once a firm
declares bankruptcy, as well as the present value effects of delays in paying out the cash
flows.
Cost of bankruptcy (direct): Costs include the legal and administrative costs, once a
firm declares bankruptcy, as well as the present value effects of delays in paying out the
cash flows.
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Disbursement float: Lag between when a check is written and the time it is cleared,
when the firm is writing the check.
Discount rate: the rate used to move cash flows from the future to the present, in
discounting, or from the present to the future, in compounding.
Discounting: the process of converting cash flows in the future to cash flows today.
Divestiture value: Value of an asset to the highest potential bidder for it.
Divestiture: Sale of asset, assets or division of a firm to third party.
Dividend capture (arbitrage): Strategy ofbuying stock before the ex-dividend day,
selling it after it goes ex-dividend and collecting the dividend.
Dividend declaration date: Date on which the board of directors declares the dollar
dividend that will be paid for that quarter (or period).
Dividend payment date: Date on which dividends are paid to stockholders.
Dividend payout ratio: Ratio of dividends to net income (or dividends per share to
earnings per share).
Dividend yield: Ratio of dividends, usually annualized, to current stock price.
Down-and-out option: A call option that ceases to exist if the underlying asset risesabove a certain price.
Dual currency bond: Bond with some cash flows (eg. Coupons) in one currency and
other cash flows (eg. Principal) in another.
Duration: Weighted maturity of all the cash flows on an asset or liability.
Economic exposure: Effect of exchange rate changes on the value of a firm with
exposure to foreign currencies.
Economic order quantity (EOQ): The order quantity that minimizes the total costs of
new orders and the carrying cost of inventory.
Economic Value Added (EVA): Measure of dollar surplus value created by a firm or
project. It is defined to be the difference between the return on capital and the cost ofcapital multiplied by the capital invested.
Efficient Frontier: The line connecting efficient portfolios, i.e. Portfolios that yield the
highest expected return for each level of risk (standard deviation).
Enterprise value: Market value of debt and equity of a firm, net of cash.
Equity approach: The accounting approach used to show the income from ownership of
securities in another firm, where it is a minority, active investment. A proportional share
(based upon ownership proportion) of the net income and losses made by the firm in
which the investment was made, is used to adjust the acquisition cost.
Equity carve out(ECO): Action where a firm separates out assets or a division, creates
shares with claims on these assets, and sells them to the public. Firm generally retainscontrol of the carved out asset.
Equity risk: Measure of deviation of actual cash flows from expected cash flows.
Equity: Any financing vehicle that has a residual claim on the firm, does not create a tax
advantage from its payments, has an infinite life, does not have priority in bankruptcy,
and provides management control to the owner.
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Eurobonds: Bonds issued in the local currency but offered in foreign markets.
Eurodollar and Euroyen bonds are examples.
Eurodollar bonds: Bonds denominated in U.S. dollars and offered to investors globally.
European options: An option that can be exercised only at maturity.
Euroyen bonds: Bonds denominated in Japanese Yen and offered to investors globally.
Excess return (abnormal return): Difference between the actual returns on an
investment and the expected return, given market returns and investment's risk.
Ex-dividend date: Date by whichinvestors have to have bought the stock in order to
receive the dividend
Exercise Price (Strike Price): Price at which the underlying asset in an option can be
bought (if it is a call) or sold (if it is a put).
Exit value: Estimated value of a private firm in a year in which the owners plan to sell it
to someone else or to take it public.
Ex-rights price: Stock price without the rights attached to the stock, in a rights offering.
External financing: Cash flows raised outside the firm whether from private sources or
from financial markets.Factor beta: A measure of the exposure of an asset to a specified macroeconomic factor
(such as inflation or interest rates) or an unspecified market factor.
FIFO: An inventory valuation method, where the cost of goods sold is based upon the
cost of material bought earliest in the period, while the cost of inventory is based upon
the cost of material bought later in the year.
Financing expenses: Expenses arising from the non-equity financing used to raise capital
for the business
Firm: any business large or small, privately run or publicly traded, and engaged in any
kind of operation - manufacturing, retail or service.
Firm-specific risk: Risk that affects one or a few firms, and is thus risk that can bediversified away in a portfolio.
Fixed (exchange) rates: Exchange rate set and backed up by a government, rather than by
demand and supply.
Fixed assets: Long term and tangible assets of the firm, such as plant, equipment, land
and buildings.
Fixed-rate bond: Bond with a coupon rate that is fixed for the life of the bond.
Float: Lag between when the check is written and the time it is cleared.
Floating (exchange) rates: Exchange rates determined by demand and supply for the
currency, and thus change over time.
Floating rate bond: Bond with a coupon rate that is reset each period, depending upon aspecified market interest rate (prime or LIBOR).
Floor: The minimum interest rate on a floating rate bond.
Forward contracts: A contract to buy or sell an asset, security or currency in the future
at a fixed price (specified at the time of the contract)
Forward PE: Ratio of price per share to expected earnings per share in next financial
year.
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Forward price (rate): The price or rate quoted in a forward contract.
Free cash flow to equity: cash left over after operating expenses, net debt payments and
reinvestments.
Free cash flow to the firm: Cash flow left over after operating expenses, taxes and
reinvestment needs, but before any debt payments (interest or principal payments).
Free cash flows (Jensen): Cash flows from operations over which managers havediscretionary spending power.
Futures contract: Like a forward contract, it is an agreement to buy or sell an underlying
asset at a specified time in the future. However, it differs from a forward because it is
usually traded, requires daily settlement of differences and has no default risk.
Golden parachute: A provision in an employment contract that allows for the payment
of a lump-sum or cash flows over a period, if the manager covered by the contract loses
his or her job in a takeover.
Goodwill: The difference between the market value of an acquired firm and the book
value of its assets; arises only when purchase accounting is used in an acquisition.
Gordon growth model: Stable-growth dividend discount model, where the value of astock is the present value of expected dividends, growing at a constant rate forever.
Greenmail: Buying out the existing stake of a hostile acquirer in the firm, generally at a
price much greater than the price paid by the acquirer. In return, the acquirer usually
agrees not to go through with the takeover or buy additional stock in the firm for a period
of time (standstill agreement).
Growing annuity: A cash flow that occurs at regular interval and grows at a constant
rate for a specified period of time.
Growing perpetuity: A cash flow that is expected to grow at a constant rate forever.
Growth assets: Investments yet to be made by the firm; often markets will incorporate
their expectation of the value of these assets into the market value.Historical (risk) premium: Difference between returns on risky investments (usually
stocks) and riskless investments (usually government securities) over a specified past
time period.
Historical cost: The original price paid for an asset, when acquired, adjusted upwards for
improvements made to the asset since purchase and downwards for the loss in value
associated with the aging of the asset
Holder-of-record date: Date on whichcompany closes its stock transfer books and
makes up a list of the shareholders.
Hurdle rate: a minimum acceptable rate of return on projects; used to determine whether
to invest in a project or not.
Hybrid securities: Securities that share some characteristics with debt and some with
equity. Examples would be preferred stock and convertible debt.
Implied premium: The premium estimated based upon the current level of stock prices
and expected cash flows from buying stocks. The internal rate of return that would make
the present value of the cash flows equal to today's stock prices is the expected return on
equity. Subtracting out the riskless rate yields the implied premium.
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Income bonds: Bond on which interest payments are due only if the firm has positive
earnings.
Income statement: A statement which provides information on the revenues and
expenses of the firm, and the resulting income made by the firm, during a period.
Incremental cash flows: Cash flows that arise as a consequence of a new investment. It
is the difference between the cash flow a firm would have had without the newinvestment and the cash flow with the new investment.
Indirect costs of bankruptcy: Costs associated with the perception that a firm may go
bankrupt - lost sales, drop in employee morale, tighter supplier credit
Inflation rate: Change in purchasing power in a currency from period to period.
Inflation-indexed treasury bond: A government bond that guarantees a real interest
rate, rather than a nominal rate.
In-process R&D: Portion of an acquired firm's value that is attributed to past research.
This amount is usually written off right after the acquisition.
Intangible assets: Assets that do not have a physical presence but have value (either
because they generate cash or can be sold). Examples would include assets like patentsand trademarks as well as uniquely accounting assets such as goodwill that arise because
of acquisitions made by the firm
Interest rate parity: Equation that relates the differential between forward and spot
rates to interest rates in the domestic and foreign market.
Internal equity: Cash flows generated by the existing assets of a firm that are reinvested
back into the firm.
Internal rate of return (IRR): Discount rate that makes the net present value zero. It
can be considered a time-weighted, cash flow, rate of return on an investment.
International Fisher Effect: Specifies the relationship between changes in exchange
rates and differences in nominal interest rates in two countries.Jump price proces: Price process where price changes stay large even as the period gets
shorter.
Knockout option: An option that ceases to exist if the underlying asset reaches a certain
price.
Kurtosis:: Measure of the likelihood of large jumps in a distribution, captured in the tails
of the distribution.
Leveraged buyout: An acquisition of a firm by its own managers or a private entity,
financed primarily with debt.
Leveraged recapitalization: Using new debt to repurchase equity and increasing debt
ratio substantially in the process.Levered beta: Beta of a firm, reflecting its financial leverage. This will change as
leverage changes.
LIFO reserve: Difference in inventory valuation between FIFO and LIFO. Firms that
choose the LIFO approach to value inventories have to specify in a this difference.
LIFO: An inventory valuation method where the cost of goods sold is based upon the
cost of material bought towards the end of the period, resulting in inventory costs that
closely approximate current costs.
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Line of credit: A financing arrangement, under which the firm can draw on only if it
needs financing, up to the agreed limit.
Liquidating dividends: Dividends in excess of the retained earnings of a firm. This is
viewed as return of capital in the firm and taxed differently.
Liquidation value: net cash flow that the firm will receive from selling an asset today.
Lockbox system: System wherecustomer checks are directed to a post office box, ratherthan to the firm
Major bracket investment bankers: Investment bankers in the top tier, based upon
reputation and national focus.
Majority active investment: Categorization of ownership of securities by one firm in
another firm are treated, if the securities represent more than 50% of the overall
ownership of that firm.
Management buyouts: An acquisition of a publicly traded firm by its own managers.
Marginal investor: The investor or investors most likely to be involved in the next trade
on the securities issued by a firm. Not necessarily the largest investor in the firm.
Marginal return on equity (capital): Measures quality of marginal investments, ratherthan average investments. Computed as the change in income (net income or operating
income) divided by the change in equity or capital invested.
Marginal tax rate: Tax rate on the last dollar of income (or the next dollar of income).
Usually determined by the tax codes.
Market capitalization (market cap): Market value of equity in a firm.
Market conversion value: Current market value of the shares for which a convertible
bond can be exchanged.
Market efficiency: A measure of how much the price of an asset deviates from a firm
true value. The smaller and less persistent the deviations are, the more efficient a market
is.Market risk: Risk that affects many or all investments in a market. This risk cannot be
diversified away in a portfolio.
Market value: Estimate of how much an asset would be worth if sold in the market
today. If the asset is a traded asset, this is obtained by looking at the last traded price.
Markowitz portfolios: The set of portfolios, composed entirely of risky assets, that yield
the highest expected returns for each level of risk (standard deviation).
Merger: A combination of two firms where the boards of directors of two firms agree to
combine and seek stockholder approval for the combination. In most cases, at least 50%
of the shareholders of the target and the bidding firm have to agree to the merger. The
target firm ceases to exist and becomes part of the acquiring firm.Mezzanine bracket: Smaller investment banks that operate nationally.
Miller-Orr model: Model for estimating an optimal cash balance, given the cost of
selling securities and the interest rate that can be earned on marketable securities, for
firms with uncertain cash inflows and outflows.
Minority interest: The share of the firm that is owned by other investors,when one firm
owns a majority, active interest in another firm (more than 50%). The minority interest is
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shownon the liability side of the balance sheet. Shows up only in the event of
consolidation.
Minority, active investment: Categorization of ownership of securities by one firm in
another firm are treated, if the securities represent between 20% and 50% of the overall
ownership of that firm. Usually get accounted for using the equity approach.
Modified internal rate of return (MIRR): Internal rate of return estimated with theassumption that intermediate cash flows are reinvested at the cost of equity or capital
instead of the internal rate of return.
Mortgage bond: A bond secured by real property, such as land or buildings.
Mutually exclusive (projects): A set of projects where only one of the set can be
accepted by a firm.
Equivalent annuities: Annuity equivalent of the NPV of a multi-year project.
Near-cash investments: Investments that earn a market return, with little or no risk, and
can be quickly converted into cash.
Negative pledge clause: Clause in a bond issue that specifies that the bond is backed
only by the earning power of the firm, rather than specific assets.Net debt payments: Difference between debt repaid and new debt issued by a firm
during a period.
Net float: Difference between the disbursement and processing float.
Net lease: A capital lease where the lessor is not obligated to pay insurance and taxes on
the asset, leaving these obligations up to the lessee; the lessee consequently reduces the
lease payments.
Net operating losses (nols): Accumulated losses over time that can be used to offset
income and save taxes in future periods.
Net present value (NPV): Sum of the present values of all of the cash flows on an
investment, netted against the initial investment.Net present value profile: A graph that records the net present value as the discount rate
changes.
Nominal cash flow: A cash flow in nominal terms, or an expected cash flow that
includes the effects of inflation (higher prices for both inputs and output).
Nominal interest rate: Interest rate on a bond that incorporates expected inflation.
Non-cash working capital: Difference between non-cash current assets and non-debt
current liabilities.
Notes: Unsecured bonds issued by firms with maturity less than 15 years.
Offering price: Price of a stock at the initial public offering.
Open market repurchase: Stock repurchase wherefirms buy shares in securitiesmarkets at the prevailing market price, and do not have to offer the premiums required for
tender offers.
Operating expenses: Expenses that provide benefits only for the current period
Operating exposure: Economic exposure that measures the effects of exchange rate
changes on expected future cash flows and discount rates, and, thus, on total value.
Operating lease: The lessor (or owner of the asset) transfers only the right to use the
property to the lessee. At the end of the lease period, the lessee returns the property to the
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lessor. The lease expense is treated as an operating expense in the income statement and
the lease does not affect the balance sheet.
Operating leverage: A measure of the proportion of the costs that are fixed costs; the
higher the proportion the greater the operating leverage.
Opportunity costs: Costs associated with the use of resources that a firm may already
own.Option delta: Number of units of the underlying asset that are needed to create the
replicating portfolio for an option.
Option: Right to buy or sell an underlying asset at a fixed price sometime during the
option's life (American option) or at the end of the option life (European option).
Original-issue deep discount bond: Bond with a coupon rate that is much lower than
the market interest rate at the time of the issue. This bond will be priced well below par.
Payback: Period of time over which the initial investment on a project will be recovered.
PEG ratio: Ratio of PE ratio to expected growth rate in earnings.
Perpetuity: A stream of constant cash flows that occur at regular intervals forever.
Poison pills: Securities, the rights or cash flows on which are triggered by hostiletakeovers. The objective is to make it difficult and costly to acquire control
Pooling accounting: Accounting approach for acquisitions where the book values of the
two firm involved in the acquisition are added up, and the market value of the acquisition
is not shown on the balance sheet.
Preferred stock: Security that pays a fixed dividend, which is usually not tax deductible,
and has an infinite life; usually has no or limited voting rights;
Preferred stock: Security which a fixed dollar dividend that is usually not tax deductible
to the firm; if the firm does not have the cash to pay the dividend, the dividend is
cumulated and paid in a period when there are sufficient earnings.
Price/book value: Ratio of price per share to book value of equity per share.Price/earnings ratio (PE): Ratio of price per share to earnings per share.
Price/sales ratio (PS): Ratio of price per share to sales per share.
Principal exchange linked bonds(perls): Bonds where coupons and principal are
payable in US dollars, but the amount of the payment is determined by the exchange rate
between the US dollar and a foreign currency.
Private equity: Equity provided by private investors to companies, often with the intent of
taking the company from public to private status.
Private placement: An arrangement wheresecurities are sold directly to one or a few
investors.
Privately negotiated repurchases: Stock repurchase negotiated with a stockholder whoowns a substantial percentage of the shares.
Probit: Statistical technique used to estimate probability of an event occurring.
Processing float: Lag between when the check is written and the time it is cleared, when
the customer is writing the check to the firm.
Product cannibalization: The effect that the introduction of a new product may have on
a firm existing product sales.
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Profitability index: Ratio of net present value to initial investment in a project. Often
used when a firm faces capital rationing.
Project risk: Risk that affects the cash flows of a project will differ from expectations,
due to estimation errors or unanticipated events.
Purchase accounting: Accounting approach for acquisitions where the market value
paid for the acquired firm is shown on the balance sheet, and goodwill, which is thedifference between the book value and market value of the acquired firm, is shown as an
asset.
Purchase of assets: An action whereone firm acquires the assets of another, though a
formal vote by the shareholders of the firm being acquired is still needed.
Purchasing power parity: Equation that relates changes in exchange rates to differences
in inflation. Based upon the assumption that a specific basket of goods should sell for the
same price across different countries
Pure play: Beta or other input estimated for a project by looking at the betas of firms that
are involved only or primarily in similar investments.
Put-call parity: Arbitrage relationship governing the prices of a call and put option, withthe same strike price, same exercise price and on the same underlying asset.
Puttable bonds: Debt (bonds), where bond buyersare allowed to put their bonds back to
the firm and receive face value, in the event of an occurrence like a leveraged buyout.
Rainbow options: An option that is exposed to more than one type of uncertainty.
Real cash flow: A cash flow that is corrected for the loss of buying power over time,
associated with inflation.
Real interest rate: Interest rate on a bond after taking out the expected inflation
component.
Real interest rate: The compensation, in real goods, that has to be offered to get lenders
to postpone consumption and allow you to use their savings.Nominal interest rate: The compensation that has to be offered to lenders to induce
them to lend you money; the nominal component captures expected inflation.
Real options: An option on a real asset, as opposed to a financial asset.
Recapitalization: Changing financing mix by using new equity to retire debt or new debt
to reduce equity.
Red herring: Preliminary prospectus issued by a firm going public, while the registration
is being reviewed by the SEC.
Regular dividend: Dividend paid at regular intervals to stockholders.
Reinvestment rate: Proportion of after-tax operating income reinvested back into the
firm.Replicating portfolio: A portfolio of the underlying asset and the riskless asset that has
the same cash flows as an option.
Repo rate: Implied interest rate in a repurchase agreement, calculated based upon the
difference between the price at which a security is bought and the price at which it will be
sold back.
Repurchase agreement(repo): The sale of a security, with an agreement that the
security will be bought back at a specified price at the end of the agreement period
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Repurchase tender offer: Stock repurchase where firm specifies a price at which it will
buy back shares, the number of shares it intends to repurchase, and the period of time for
which it will keep the offer open.
Reverse repurchase agreement (reverse repo): The buying of a security, with an
agreement that the security will be soldback at a specified price at the end of the
agreement period.Rights offering: Offering whereexisting investors in the firm are given the right to buy
additional shares, in proportion to their current holdings, at a price generally much lower
than the current market price (subscription price).
Rights-on price: Stock price with the rights attached to the stock, in a rights offering.
Riskless rate: Expected rate of return on an asset with guaranteed returns.
Road shows: Stage in the public offering process that the investment banker and issuing
firm will present information to prospective investors in a series of presentations.
Safety inventory: Extra inventory cover the demand while an order is being replenished
Scenario analysis: Analysis where earnings, cash flows or other variables can be
forecast under a variety of different scenarios, some positive and some negative.Sector risk: Risk that the cash flows on projects will vary from expectations because of
events that affect an entire sector.
Secured debt: Bonds or debt with priority in claims on the assets of the firm, in the event
of bankruptcy.
Seed-money venture capital: Venture capital provided to start-up firms that want to test
a concept or develop a new product.
Serial bonds: Bonds where a percentage of the outstanding bonds mature each year, and
the maturity is specified on the serial bond.
Sinking funds: A fund into which a fixed amount is set aside each year to repay
outstanding bonds when they come due.Skewness: Bias towards positive or negative returns in a distribution.
Special dividend: Dividends paid in addition to regular dividend infrequently.
Spin off: Action thatseparates out assets or a division and creates new shares with claims
on this portion of the business. Existing stockholders in the firm receive these shares in
proportion to their original holdings. Firm usually gives up control over the assets.
Split off: Action that separates out assets or a division and creates new shares with
claims on this portion of the business.Existing stockholders are given the option to
exchange their parent company stock for these new shares.
Split up: Action where firm splits into different business lines, distributes shares in these
business lines to the original stockholders in proportion to their original ownership in thefirm, and then ceases to exist.
Spot rate: Current market rate; Often used in the context of commodities or foreign
currency.
Standard deviation: Measure of the squared deviations of actual returns from the
expected returns. This is the square root of the variance.
Stand-by guarantees: Underwriting agreement where the investment banker provides
back-up support, in case the actual price falls below the offering price.
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Standstill agreement: An agreement entered into between a hostile acquirer and a firm,
where the hostile acquirer (in return for a payment) agrees not to buy additional stock in
the firm for a period of time.
Start-up venture capital: Venture capital thatallows firms that have established
products and concepts to develop and market them.
Statement of cash flows: A statement which specifies the sources of cash to the firmfrom both operations and new financing, and the uses of this cash, during a period.
Step-down floating rate bond: A floating rate bond where thespread over the market
interest rate decreases over time instead of remaining fixed over the bond life.
Step-up floating rate bond: A floating rate bond where thespread over the market
interest rate increases over time instead of remaining fixed over the bond life.
Stock dividends: Dividend that takes the form of additional stock (in proportion to
existing holdings) in the firm.
Stock split: Action where additional shares are given to each stockholder in the firm, in
proportion to holdings in the firm.
Straight line depreciation: A depreciation method where an equal amount of the asset iswritten off each year, over an estimated lifetime, to reflect its aging.
Strike Price (Exercise Price): Price at which the underlying asset in an option can be
bought (if it is a call) or sold (if it is a put).
Subordinated debentures: Unsecured bond with claims against assets that are
subordinated to the claims of other lenders.
Subscription price: Price at which a rights offering is made by a firm.
Super-majority amendment: an amendment requiring an acquirer to acquire more than
the 51% that would normally be required to gain control of a firm.
Synergy: Increase in value arising from the combination of two firms, projects or assets
that would not arise if the firms, projects or assets were independently run.Synthetic rating: Bond rating estimated using a financial ratio or ratios for a firm. This
is in contrast to an actual rating that is usually provided by a ratings agency.
Tender offer: A solicitation whereone firm offers to buy the outstanding stock of the
other firm at a specific price and communicates this offer in advertisements and mailings
to stockholders.
Terminal price (value): Expected value of an asset at the end of forecast period. For
instance, if you forecast cash flows for 10 years, the terminal value is the value at the end
of the 10th year.
Time line: A line depicting the magnitude and timing of cash flows on an investment.
Tobin
Q: Ratio of firm value to replacement cost of the assets owned by the firm.Tombstone advertisement: Advertisement containing details of an initial public
offering, the name of the lead investment banker, and the names of other investment
bankers involved in the issue.
Tracking stock: Stock issued on a division of a firm. The owner is entitled to the
earnings and cash flows of the division, and the stock trades on that basis. Generally, the
parent company continues to maintain full control over the division.
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Trailing PE: Ratio of price per share to earnings per share over the most recent four
quarters.
Transactions exposure: Economic exposure faced by a firm because of exchange rate
movements which affect cash inflows and outflows on transactions entered into by the
firm.
Translation exposure: Effect of exchange rate changes on the current income statementand the balance sheet of a firm with exposure to foreign currencies.
Treasury bills: Short-term obligations issued by the U.S. government.
Treasury stock approach: Approach for dealing with options in valuation, where the
exercise value of the options is added to the value of the equity in the firm, and the total
amount is divided by the number of shares outstanding, including those covered by the
options.
Trust preferred stock: Preferred stock, structured in such a way that the fixed dividend
that is tax deductible to the firm.
Underwriting guarantee: Guarantee of a fixed price (offering price) offered by an
investment banker in a public offering of securities.Unlevered beta: The beta of a firm, under the scenario that it is all equity-financed. It is
determined by the businesses that the firm is in, and the operating leverage it maintains in
these businesses. Can be computed from the regression beta (top-down) or by taking a
weighted average of the betas of the different businesses (bottom-up).
Unsecured bonds: Bonds with the lowest claim on the cash flows and assets of the firm.
Up-and-out option: A put option that ceases to exist if the underlying asset falls below a
certain price.
Value ratio: Ratio of PBV Ratio to return on equity of a firm.
Value/sales ratio (VS),: Ratio of value per share to sales per share.
Variance: Measure of the squared deviations of actual returns from the expected returns.Venture capital method: Value estimated by applying a price-earnings multiple to the
earnings of the private firm are forecast in a future year, when the company can be
expected to go public.
Venture capitalist: An entity that provides equity financing to small and often risky
businesses in return for a share of the ownership of the firm.
Warrants: Securities whereholders receive the right to buy shares in the company at a
fixed price in the future; it is a long term call option on the equity of the firm.
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Variables Definition What it tries to
measure
Comments
Abnormal Return See Excess Returns
Accounts
Payable /Sales
Accounts Payable/
Sales (See also dayspayable)
Use of supplier credit
to reduce workingcapital needs (and to
increase cash flows).
There is a hidden cost.
By using supplier credit,you may deny yourself
the discounts that can be
gained from earlypayments.
Accounts
Receivable/Sales
Accounts Receivable/
Sales
Ease with which you
grant credit to
customers buying
your products andservices.
A focus on increasing
revenues can lead
companies to be too
generous in giving credit.While this may make the
revenue and earningsnumbers look good, it is
not good for cash flows.
In fact, one sign that a
company is playing thisshort term gain is a surge
in accounts receivable.
Alpha Difference between the
actual returns earned on
a traded investment(stock, bond, real asset)
and the return youwould have expected to
make on that
investment, given itsrisk.
Alpha = Actual Return
- Expected return givenrisk
In the specific case of a
regression of stockreturns against marketreturns for computing
the CAPM beta, it is
measured as follows:(Jensens) Alpha =
Intercept - Riskfree
Rate (1 - Beta)
Measures whether
you are beating the
market, afteradjusting for risk. In
practice, though, itcan be affected by
what risk and return
model you use tocompute the expected
return.
When portfolio managers
talk about seeking alpha,
they are talking aboutbeating the market.
However, what may looklike beating the market
may just turn out to be a
flaw in the risk andreturn model that you
used. (With the CAPM,
for instance, small capand low PE stocks
consistently have
delivered positive alphas,perhaps reflecting thefact that the model
understates the expected
returns for these groups)or sheer luck (In any
given year, roughly half
of all active investors
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If the regression is run
using excess returns on
both the stock and themarket, the intercept
from the regression is
the Jensen's alpha.
should beat the market).
Amortization See Depreciation &Amortization
Annual Returns Returns from both price
appreciation and
dividends or cash flowgenerated by an
investment during a
year. For stocks, it isusually defined as:
(Price at end of year -
Price at start +
Dividends duringyear) / Price at start of
year
A percentage return
during the course of a
period that can bethen compared to
what you would have
made on otherinvestments.
The annual return is
always defined in terms
of what you iinvested atthe start of the period,
though there are those
who use the averageprice during the year.
The latter makes sense
only if you make the
investments evenly overthe course of the year. It
cannot be less than
-100% for most assets(you cannot lose more
than what you invested)
but can be more than-100% if you have
unlimited liability. It is
unbounded on the plus
side, making thedistribution of returns
decidedly one-sided (or
asymmetric). Returns cantherefore never be
normally distributed,
though taking the naturallog of returns (the natural
log of zero is minus
infinity) may give you ashot.
Asset Beta See unlevered beta
(corrected for cash)
Beta (Asset) See unlevered beta
(corrected for cash)
Beta (CAPM) It is usually measuredusing a regression of
Risk in an investmentthat cannot be
Regression betas havetwo big problems:
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stock returns against
returns on a market
index; the slope of theline is the beta. The
number can change
depending on the timeperiod examined, the
market index used and
whether you break the
returns down into daily,weekly or monthly
intervals.
diversified away in a
portfolio (Also called
market risk orsystematic risk).
(a) Measured right, they
give you a fairly
imprecise estimate of thetrue beta of a company;
the standard error in the
estimate is very large.(b) They are backward
looking. You get the beta
for a company for the last
2 or last 5 years. If yourcompany has changed its
business mix or debt ratio
over this time period, theregression beta will not
be a good measure of the
predicted beta.
For a way around thisproblem, you can try
estimating bottom-up
betas. (See bottom-upbeta)
Beta (Market) See Beta (CAPM)
Beta (Regression) See Beta (CAPM)
Beta (Total) See Total Beta
Book Debt Ratio See Debt Ratio (Book
Value)
Book Value ofCapital
Book Value of Debt +Book Value of Equity
(See book value of
invested capital)
A measure of thetotal capital that has
been invested in the
existing assets of thefirm. It is what
allows the firm to
generate the incomethat it does.
This is one of the fewplaces in finance where
we use book value, not so
much because we trustaccountants but because
we want to measure what
the firm has invested inits existing projects.
(Market value includes
growth potential and isthus inappropriate)
There is a cost we incur.Every accounting actionand decision (from
depreciation methods to
restructuring and one-
time charges) as well asmarket actions (such as
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stock buybacks) can have
significant implications
for the book value. Largerestructuring charges and
stock buybacks can
reduce book capitalsignificantly.
Finally, acquisitions pose
a challenge because the
premium paid on theacquisition (classified as
goodwill) may be for the
growth opportunities forthe target firm (on which
you have no chance of
earning money now).
That is why manyanalysts net goodwill out
of book capital.
Book Value ofEquity
Shareholder's equity onbalance sheet; includes
original paid-in capital
and accumulated
retained earnings sinceinception. Does not
include preferred stock.
A measure of theequity invested in the
existing assets of the
firm. It is what
allows the firm togenerate the equity
earnings that it does.
The book value of equity,like the book value of
capital, is heavily
influenced by accounting
choices and stockbuybacks or dividends.
When companies pay
large special dividends or
buy back stock, the bookequity will decrease. In
some cases, years ofrepeated losses can make
the book value of equity
negative.
Book Value ofInvested Capital
Book Value of Debt +Book Value of Equity -
Cash & Marketable
Securities(See book value of
capital)
Invested capitalmesures the capital
invested in the
operatinig assets ofthe firm.
Netting out cash allowsus to be consistent when
we use the book value of
capital in thedenominator to estimate
the return on capital. Thenumerator for this
calculation is after-taxoperating income and the
denominator should
therefore be only thebook value of operating
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assets (invested capital).
Bottom-Up Beta Weighted average Beta
of the business or
businesses a firm is in,adjusted for its debt to
equity ratio. The betasfor individualbusinessess are usually
estimated by averaging
the betas of firms ineach of these
businesses and
correcting for the debt
to equity ratio of thesefirms.
The beta for the
company, looking
forward, based uponits business mix and
financial leverage.
There are two keys to
estimating bottom-up
betas. The first isdefining the business or
businesses a firm is inbroadly enough to beable to get at least 10 and
preferably more firms
that operate in thatbusiness. The second is
obtaining regression
betas for each of these
firms.Bottom up betas are
generally better than
using one regression betabecause (a) they have
less standard error; the
average of 20 regressionsbetas will be more
precise than any one
regression beta and (b)
they can reflect thecurrent or even expected
future business mix of a
firm.
Cap Ex/Depreciation
Estimated by dividingthe capital expenditures
by depreciation. For the
sector, we estimate theratio by dividing the
cumulated capital
expenditures for thesector by the cumulated
depreciation and
amortization.
Capital (BookValue) This is the book valueof debt plus the book
value of common
equity, as reported onthe balance sheet.
Capital
Expenditures
Capital Spending +
Investments in R&D,
exploration or human
Investment intended
to create benefits
over many years; a
The accounting measure
of cap ex (usually found
in the statement of cash
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capital development +
Acquisitions
factory built by a
manufacturing firm,
for instance.
flows under investing
activities) is far too
narrow to measureinvestment in long term
assets. To get a more
sensible measure, wetherefore convert
expenses like R&D and
exploration costs (treated
as operating expenses bymost firms) into capital
expenditures. (See R&D
(capitalized) for moredetails) and acquisitions,
including those funded
with stock. After all, if
we want to count thegrowth from the latter,
we have to count the cost
of generating thatgrowth.
Cash Cash and Marketable
Securities reported in
the balance sheet.
Cash and close-to-
cash investments
held by a firm for avariety of motives:
precautionary (as a
cushion against bad
events), speculative(to use on new
investments) andoperational (to meet
the operating needs
of the company).
At most firms, cash and
marketable securities are
invested in short term,close to riskless
investments. As a
consequence, they earn
fairly low returns.However, since that is
what you would requirethem to earn cash usually
is a neutral investment; it
does not hurt or helpanyone. Investors,
though, may sometimes
discount cash in the
hands of some managers,since they fear that it will
be wasted on a badinvestment.
Correlation withthe market
This is the correlationof stock returns with
the market index, using
the same time period asthe beta estimation (see
Measures howclosely a stock moves
with the market.
The beta for a stock canactually be written as:
Beta = Correlation of
stock with market *Standard deviation of
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beta) . Bounded
between -1 and +1.
stock/ Standard deviation
of the market
As a consequence,holding all else constant,
the beta for a stock will
rise as its correlation withthe market rises. If we do
not hold the standard
deviation of the stock
fixed, though, it isentirely possible (and
fairly common) for a
stock to have a lowcorrelation and a high
beta (if a stock has a very
high standard deviation)
or a high correlation anda low beta (if the stock
has a low standard
deviation.
Cost of Capital The weighted average
of the cost of equity
and after-tax cost of
debt, weighted by themarket values of equity
and debt:
Cost of Capital = Cost
of Equity (E/(D+E)) +After-tax Cost of Debt
(D/(D+E))
Measures the current
long-term cost of
funding the firm.
The cost of capital is a
market-driven number.
That is why we use
market value weights(that is what you would
pay to buy equity and
debt in the firm today
and the current costs ofdebt and equity are based
upon the riskfree ratetoday and the expected
risk premiums today.
When doing valuation orcorporate finance, you
should leave open the
possibility that the inputs
into cost of capital (costsof debt and equity,
weights) can change overtime, leading your cost ofcapital to change.
If you have hybrids (such
as convertible bonds),you should try to break
them down into debt and
equity components and
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put them into their
respective piles. For what
to do with preferredstock, see Preferred
stock.
Cost of Debt(After-tax)
After-tax cost of debt =Pre-tax Cost of debt (1marginal tax rate)
(See pre-tax cot of debt
and marginal tax rate)
Interest is taxdeductible and itsaves you taxes on
your last dollars of
income. Hence, wecompute the tax
benefit using the
marginal tax rate.
The marginal tax ratewill almost never be inthe financial statements
of a firm. Instead, look at
the tax code at whatfirms have to pay as a tax
rate.
Note, though, that the tax
benefits of debt areavailable only to money
making companies. If a
money losing company iscomputing its after-tax
cost of debt, the marginal
tax rate for the next yearand the near-term can be
zero.
Cost of Debt (Pre-
tax)
This is estimated by
adding a default spreadto the riskfree rate.
Pre-tax cost of debt =
Riskfreee rate +
Default spreadThe default spread can
be estimated by (a)
finding a bond issuedby the firm and looking
up its current market
interest rate or yield tomaturity (b) finding a
bond rating for the firm
and using that rating toestimate a default
spread or (c) estimatinga bond rating for the
firm and using thatrating to come up with
a default spread.
The rate at which the
firm can borrow longterm today. The key
words are long term -
we implicitly assume
that the rolled overcost of short term
debt converges on the
long term rate- andtoday - we really
don't care about what
rate the firmborrowed at in the
past (a book interest
rate).
A company's pre-tax cost
of debt can and willchange over time as
riskfree rates, default
spreads and even the tax
rate change over time.We are trying to estimate
one consolidated cost of
debt for all of the debt inthe firm. If a firm has
senior and subordinated
debt outstanding, theformer will have a lower
interest rate and default
risk than the former, butyou would like to
estimate one cost of debtfor all of the debt
outstanding.
Cost of Equity In the CAPM: Cost of
Equity = Riskfree Rate
The rate of return
that stockholders in
Different investors
probably have different
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+ Beta (Equity Risk
Premium)
In a multi-factor model:Cost of Equity =
Riskfree Rate + Beta
for factor j * Riskpremium for factor j
(across all j)
your company expect
to make when they
buy your stock. It isimplicit with equities
and is captured in the
stock price.
expected returns, siince
they see different
amounts of risk in thesame investment. It is to
get around this problem
that we assume that themarginal investor in a
company is well
diversified and that the
only risk that gets pricedinto the cost of equity is
risk that cannot be
diversified away.The cost of equity can be
viewed as an opportunity
cost. This is the return
you would expect tomake on other
investments with similar
risk as the one that youare investing in.
Cost of preferred
stock
Preferred dividend
yield = Preferred
(annual) dividends pershare/ Preferred stock
price
The rate of return
that preferred
stockholders demandfor investing in a
company
The cost of preferred
stock should lie
somewhere between thecost of equity (which is
riskier) and the pre-tax
cost of debt (which is
safer). Preferreddividends are generally
not tax deductible; hence,not tax adjustment is
needed.
In Latin America,preferred stock usually
refers to common stock
with no voting rights but
preferences when itcomes to dividends.
Those shares should betreated as commonequity.
D/(D+E) See Debt Ratio
D/E Ratio See Debt/Equity Ratio
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Debt Interest bearing debt +
Off-balance sheet debt
Borrowed money
used to fund
operations
For an item to be
categorized as debt, it
needs to meet threecriteria: (a) it should give
rise to a fixed
commitment to be met inboth good and bad times,
(b) this commitment is
usually tax deductible
and (c) failure to meetthe commitment should
lead to loss of control
over the firm. With thesecriteria, we would
include all interest
bearing liabilities (short
term and long term) asdebt but not non-interest
bearing liabilities such as
accounts payable andsupplier credit. We
should consider the
present values of leasecommitments as debt.
Debt (Market
value)
Estimated market value
of book debt
Market's estimate of
the value of debt
used to fund the
business
At most companies, debt
is either never traded (it
is bank debt) or a
significant portion of thedebt is not traded.
Analysts consequentlyassume that book debt =
market debt. You can
convert book debt intomarket debt fairly easily
by treating it like a bond:
the interest payments are
like coupons, the bookvalue is the face value of
the bond and theweighted maturity of thedebt is the maturity of the
bond. Discounting back
at the pre-tax cost of debtwill yield an approximate
market value for debt.
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Debt Ratio (Book
Value)
Book value of debt/
(Book value of debt +
Book value of equity)
This is the
accountant's estimate
of the proportion ofthe book capital in a
firm that comes from
debt.
It is a poor measure of
the true financial
leverage in a firm, sincebook value of equity can
not only differ
significantly from themarket value of equity,
but can also be negative.
It is, however, often the
more common usedmeasure and target for
financial leverage at
firms that want tomaintain a particular debt
ratio.
Debt Ratio
(Market Value)
Market value of debt/
(Market value of debt +Market value of equity)
This is the proportion
of the total marketcapital of the firm
that comes from debt.
The market value debt
ratio, with debt definedto include both interest
bearing debt and leases,
will never be less than0% or higher than 100%.
Since a signfiicant
portion or all debt at
most firms is non-traded,analysts often use book
value of debt as a proxy
for market value. While
this is a resonableapproximation for most
firms, it will break downfor firms whose default
risk has changed
significantly since thedebt issue. For these
firms, it makes sense to
convert the book debt
into market debt bytreating the aggregate
debt like a coupon bond,with the interestpayments as coupons and
discounting back to today
using the pre-tax cost ofdebt as the discount rate.
Debt/Equity Ratio Debt/ Equity This measures the The debt to equity ratio
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number of dollars of
debt used for every
dollar of equity.
and the debt to captial
ratio are linked. In fact,
Debt/Equity = (D/(D+E))/ (1- D/(D+E))
Thus, if the debt to
capital is 40%, the debtto equity is 66.667%
(.4/.6)
In practical terms, the
debt to capital ratio isused in computing the
cost of capital and the
debt to equity to leverbetas.
Default spread Default spread:
Difference between the
pre-tax cost of debt fora firm and the riskfree
rate
Measures the
additional premium
demanded by lendersto compensate for
risk that a firm will
default.
The default spread
should always be greater
than zero. If the riskfreerate is correctly defined,
no firm, no matter how
safe, should be able toborrow at below this rate.
The default spread can be
computed in one of three
ways:a. Finding a traded bond
issued by a company and
looking up the yield to
maturity or interest rateon that bond.
b. Finding a bond ratingfor a firm and using it to
estimate the default
spreadc. Estimating a bond
rating for a firm and
using it to estimate the
default spread
Deferred Tax
(Asset)
Deferred Tax asset (on
balance sheet)
Measures the credit
that the firm expectsto get in future
periods foroverpaying taxes in
current and past
periods. The creditwill take the form of
For this asset to have
value, the firm has toanticipate being a going
concern, profitable andbeing able to claim the
overpayments as tax
deduction in future timeperiods. In other words,
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lower taxes in future
periods (and a lower
effective tax rate)
there would be no value
to this asset if the firm
were liquidated today.
Deferred Tax(Liability)
Deferred tax laibility(on balance sheet)
Measures the liabilitythat the firm sees in
the future as aconsequences ofunderpaying taxes in
the current or past
perios. The liabilitywill take the form of
higher taxes in future
periods (and a higher
effective tax rate)
It is not clear that this is aliability in the
conventional sense. Ifyou liquidated the firmtoday, you would not
have to meet this liablity.
Consequently, it shouldnot be treated like debt
when computing cost of
capital or even when
going from firm value toequity value. The most
effective way of showing
it in a valuaton is to buildit into expected tax
payments in the future
(which will result inlower cash flows)
Depreciation and
Amortization
Accounting write-off of
capital investments
from previous years.
Reflects the depletion
in valuation of
existing assets -depreciation for
tangible and
amortization for
intangible.
Accounting depreciation
and amortization usually
is not a good reflection ofeconomic depletion,
since the depreciation
choices are driven by tax
rules and considerations.Consequently, you may
be writing off too much
of some assets and toolittle of others. While
depreciation is an
accounting expense, it isnot a cash expense.
However, it can affect
taxes because it is taxdeductible. The tax
benefit from depreciationin any given year can be
written as:Tax benefit from
depreciation =
Depreciation * Marginaltax rate
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balance has to be
expected price
appreciation.
make investing in bonds
issued by the same
company because youwill augment it with price
appreciation. There are
some stocks that havedividend yields that are
higher than the riskfree
rate. While they may
seem like a bargain, thedividends are not
guaranteed and may not
be sustainable. Studies ofstock returns over time
seem to indicate that
investing in stocks with
high dividend yields is astrategy that generates
positive excess or
abnormal returns.Finally, the oldest cost of
equity model is based
upon adding dividendyield to expected growth:
Cost of equity =
Dividend yield +Expected growth rate
This is true only if youassume that the firm is instable growth, growing at
a cosntant rate forever.
Dividends Dividends paid by firm
to stockholders
Cash returned to
stockholders
Dividends are
discretionary and firmsdo not always pay out
what they can afford to in
dividends. This is
attested to by the largeand growing cash
balances at firms. Modelsthat focus on dividendsoften miss two key
components: (a) Many
companies have shiftedto return cash to
stockholders with stock
buybacks, instead of
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dividends and (b) The
potential dividends can
be very different fromactual dividends. For a
measure of potential
dividends, see FreeCashflow to Equity.
Earnings Yield Earnings per share/
Stock price
This is the inverse of
the PE ratio and
mesures roughlywhat the firm
generates as earnings
for every dollar
invsted in equity. It isusually compared to
the riskfree or
corporate bond rateto get a measure of
how attractive or
unattractive equityinvestments are.
Analysts read a lot more
into earnings yields than
they should. There aresome who use it as a
measure of the cost of
equity; this is true only
for mature companieswith no growth
opportunities with
potential excess returns.One nice feature of
earnings yields is that
they can be computedand used even if earnings
are negative. In contrast,
PE ratios become
meaningless whenearnings are negative.
EBITDA Earnings before interest
expenses(or income),
taxes, depreciation andamortization
Measures pre-tax
cash flow from
operations before thefirm makes any
investment back to
either maintainexisting assets or for
growth
EBITDA is used as a
crude measure of the
cash flows from theoperating assets of the
firm. In fact, there are
some who argue that it isthe cash available to
service interest and other
debt payments. That viewis misguided. Firms that
have large depreciaton
charges often have largecapital expenditure needs
and they still have to paytaxes. In fact, it is
entirely possible for afirm to have billions in
EBITDA and no cash
available to service debtpayments (See Free Cash
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Flow to the Firm for a
more complete measure
of operating cash flow)
Economic Profit,Economic Value
Added or EVA
(Return on InvestedCapital - Cost of
Capital) (Book Valueof Invested Capital)(See Excess Returns)
Measures the dollarexcess return
generated on capitalinvested in acompany
To the degree that thebook value of invested
capital measures actualcapital invested in theoperating assets of the
firm and the after-tax
operating is a cleanmesure of the true
operating income, this
captures the quality of a
firm's existinginvestments. As with
other single measures,
though, it can be easilygamed by finding ways
to write down capital
(one-time charges), notshow capital invested (by
leasing rather than
buying) or overstating
current operating income.
Effective tax rate Taxes payable/ Taxable
income
Measures the average
tax rate paid across
all of the income
generated by a firm.It thus reflects both
bracket creep (where
income at lowerbrackets get taxed at
a lower rate) and tax
deferral strategiesthat move income
into future periods.
Attesting to the
effectiveness of tax
lawyers, most companies
report effective tax ratesthat are lower than their
marginal tax rates. The
difference is usually thesource of the deferred tax
liability that you see
reported in financialstatements. While the
effective tax rate is not
particularly useful forcomputing the after-tax
cost of debt or leveredbetas, it can still be
useful when computingafter-tax operating
income (used in the Free
Cashflow to the Firm andreturn on invested capital
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computations) at least in
the near term. It does
increasingly dangerous toassume that you can
continue to pay less than
your marginal tax rate forlonger and longer
periods, since this
essentially allows for
long-term or evenpermanent tax deferral.
Enterprise Value Market value of equity
+ Market value of debt
- Cash + MinorityInterests
Measures the
market's estimate of
the value of operatingassets. We net out
cash because it is a
non-operating assetsand add back
minority interests
since the debt andcash values come
from fully
consolidated
financial statements.(See Minority
Interests for more
details)
In practice, analysts often
use book value of debt
because market value ofdebt may be unavailable
and the minority interest
item on the balancesheet. The former
practice can be
troublesome fordistressed companies
where the market value
of debt should be lower
than book value and thelatter practice is flawed
because it measures the
book value of the
minority interests whenwhat you really want is a
market value for theseinterests.
This computation can
also sometimes yieldnegative values for
companies with very
large cash balances.
While this represents abit of puzzle (how can a
firm trade for less thanthe cash on its balancesheet?), it can be
explained by the fact that
it may be impossible totake over the firm and
liquidiate it or by the
reality that the cash
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balance you see on the
last financial statment
might not be the cashbalance today.
Enterprise Value/
Invested Capital
(Market value of equity
+ Debt - Cash +Minority Interests)/(Book value of equity +
Debt - Cash + Minority
Interests)(See descriptions of
Enterprise value and
Invested Capital )
Market's assessment
of the value ofoperating assets as apercentage of the
accountant's estimate
of the capitalinvested in these
assets
By netting cash out of the
both the numerator andthe denominator, we aretrying to focus attention
on just the operating
assets of the firm. Thisratio, which has an equity
analog in the price to
book ratio, is determined
most critically by thereturn on invested capital
earned by the firm; high
return on invested capitalwill lead to high
EV/Capital ratios.
Enterprise Value/
EBITDA
(Market value of equity
+ Debt - Cash +Minority Interests)/
EBITDA
(See descriptions ofEnterprise Value and
EBITDA)
Multiple of pre-tax,
pre-reinvestmentoperating cash flow
that the firm trades at
Commonly used in
sectors with biginfrastructure
investments where
operating income can bedepressed by
depreciation charges.
Allows for comparison of
firms that are reportingoperating losses and
diverge widely on
depreciation methodsused. It is also a multiple
used by acquirers who
want to use significantdebt to fund the
acquisition; the
assumption is that theEBITDA can be used to
service debt payments.Cash is netted out from
the firm value becausethe income from cash is
not part of EBITDA.
However, the same canbe said of minority
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holdings in other
companies - the income
from these holdings isnot part of EBITDA -
and the estimated value
of these holdings shouldbe netted out as well.
With majority holdings,
the consolidation that
follows creates adifferent problem: the
market value of equity
includes only the portionof the subsidiary owned
by the parent but all of
the other numbers in the
computation reflect all ofthe subsidiary. This
should explaiin why
minority interests areadded back to the
numerator.
Enterprise Value/
Sales
(Market value of equity
+ Debt - Cash +Minority Interests)/
Revenues
Market's assessment
of the value ofoperating assets as a
percentage of the
revenues of the firm.
While the price to sales
ratio is a more widelyused multiple, the
enterprise value to sales
ratio is more consistent
because it uses themarket value of operating
assets (which generatethe revenues) in the
numerator.
Equity EVA (Return on Equity -
Cost of Equity) (BookValue of Equity)
(See Excess Returns
(on Equity))
Measures the dollar
excess returngenerated on equity
invested in a
company
To the degree that the
inputs into the equationare reasonable estimates,
this becomes a measure
of the success a companyhas shown with its
existing equityinvestments. However,
both the return on equityand book value of equity
are accounting numbers,
and can be skewed bydecisions (such as stock
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buybacks and
restructuring charges). At
the limit, it becomesmeaningless when the
book value of equity
becomes negative.EquityReinvestment
Rate
((Capital Expenditures- Depreciation) -
Change in non-cash
Working Capital -(Principal repaid - New
Debt Issued))/ Net
Income
Measures theproportion of net
income that is
reinvested back intothe operating assets
of the firm
The conventionalmeasure of equity
reinvestmnt is the
retention ratio, whichlooks at the proportion of
earnings that do not get
paid out as dividends.
The equity reinvestmentis both more focused and
more general. It is more
focused because it looksat the portion of the
earnings held back that
get invested into theoperating assets of the
firm and more general
because it can be a
negative value (for firmsthat are letting their
assets run down) or
greater than 100% (for
firms that are issuingfresh equity and
investing it back into thebusiness).
Equity Risk
Premium (ERP)
Expected Returns on
Equity Market Index -
Riskfreee Rate
Premium over the
riskfree rate
demanded byinvestors for
investing the average
risk stock
The ERP is a key
component of the cost of
equity for all companies,since it is multiplied by
the beta to get to the cost
of equiity. If you overestimate the ERP, you
are going to under valueall companies.
Equity RiskPremium -
Historical
Average Annual Returnon Stocks - Average
Annual Return on
Riskfree investment
Actual premiumearned by investors
on stocks, relative to
riskfree investment,
over the time period
The historical riskpremium is usually
estimated by looking at
long time period. For
instance, in the United
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States, it is usually
estimated over eight
decades (going back to1926). There are two
dangers in using this
historical risk premium.The first is that the long
time period
notwithstanding, the
historical risk premium isan estimate with a
significant standard error
(about 2% for 80 years ofday). The second is that
the market itself has
probably changed over
the last 80 years, makingthe historical risk
premium not a good
indicator for the future.
Equity Risk
Premium -
Implied
Growth rate implied in
today's stock prices,
given expected cash
flows and a riskfreerate. (Think of it as a
internal rate of return
for equities
collectively).
Reflects the risk that
investors see in
equities rght now. If
investors thinkequities are riskier,
they will pay less for
stocks today.
The implied equity risk
premium moves
inversely with stock
prices. When stock pricesgo up, the implied equity
risk premium will be
low. When stock prices
go down, the impliedpremium will be high.
Notwithstanding the factthat you have to use an
expected growth rate for
earnings and a valuationmodel, the implied equity
risk premium is both a
forward looking number
(relative to historicalpremiums) and
constantly updated.Excess Returns Return on Invested
Capital - Cost of capital
Measure the returns
earned over andabove what a firm
needed to make on an
investment, given itsrisk and funding
Excess returns are the
source of value added ata firm; positive net
present value investments
and value creatinggrowth come from excess
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choices (debt or
equity).
returns. However, excess
returns themselves are
reflections of the barriersto entry or competitive
advantages of a firm. In a
world with perfectcompetition, no firm
should be able to
generate excess returns
for more than an instant.
Excess Returns
(on equity)
Return on Equity - Cost
of Equity
Measures the return
earned over and
above the required
return on an equityinvestment, given its
risk. It can be at the
level of the firmmaking real
investments and at
the level of theinvestor picking
individual stocks for
her portfolio.
To generate excess
returns. you have to bring
something special to the
table. For firms, this maycome from a brand name,
economies of scale or a
patent. For investors, it ismore difficult but it can
be traced to better
information, betteranalysis or more
discipline than other
investors.
Firm Value Market Value of Equity+ Market Value of Debt
Measures the marketvalue of all assets of
a firm, operating as
well as non-
operating.
Since the value of thefirm includes both
operating and non-
operating assts, it will be
greater than enterprisevalue. To the extent that
we are looking at how
value relates to operatingitems (operating income
or EBITDA), you should
not use firm value butshould use enterprise
value instead; the income
from cash is not part ofoperating income or
EBITDA.
Fixed
Assets/TotalAssets
Fixed Assets/ Total
Assets
Measures how much
of a firm'sinvestments are in
tangible assets.
This ratio should be
higher for manufacturingfirms than for service
firms and reflects the bias
in accounting towards
tangible assets. Many
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lenders seem to share this
bias and are willing to
lend more to firms withsignificant fixed
assets.The ratio can also
be affected by the age ofthe assets, since older
assets, even if
productive, will be
written down to lowervalues.
Free Cash Flow to
Equity (FCFE)
FCFE