Definition of Perpetuity

Perpetuity

A constant stream of identical cash flows without end, such as a British consol.

Perpetuity

A special case of an annuity with no set maturity. Payments are
made forever.

perpetuity

Stream of level cash payments that never ends.

PPF (periodic perpetuity factor)

a generalization formula invented by Abrams that is the present value of regular but noncontiguous cash flows that have constant growth to perpetuity.

Growing perpetuity

A constant stream of cash flows without end that is expected to rise indefinitely.

Dividend growth model

A model wherein dividends are assumed to be at a constant rate in perpetuity.

Gordon model

present value of a perpetuity with growth.
The end-ofyear Gordon model formula is: 1/(r - g)
and the midyear formula is: SQRT(1 + r)/(r - g).

ADF (annuity discount factor)

the present value of a finite Stream of cash flows for every beginning $1 of cash flow.

NPV (net present value of cash flows)

Same as PV, but usually includes a subtraction for an initial cash outlay.

PV (present value of cash flows)

the value in today’s dollars of cash flows that occur in different time periods.
present value factor equal to the formula 1/(1 - r)n, where n is the number of years from the valuation date to the cash flow and r is the discount rate.
For business valuation, n should usually be midyear, i.e., n = 0.5, 1.5, . . .

Acquisition of assets

A merger or consolidation in which an acquirer purchases the selling firm's assets.

Annuity

A regular periodic payment made by an insurance company to a policyholder for a specified period
of time.

Annuity due

An annuity with n payments, wherein the first payment is made at time t = 0 and the last
payment is made at time t = n - 1.

Annuity factor

Present value of $1 paid for each of t periods.

Annuity in arrears

An annuity with a first payment on full period hence, rather than immediately.

Asset

Any possession that has value in an exchange.

Asset/equity ratio

The ratio of total assets to stockholder equity.

Asset/liability management

Also called surplus management, the task of managing funds of a financial
institution to accomplish the two goals of a financial institution:
1) to earn an adequate return on funds invested, and
2) to maintain a comfortable surplus of assets beyond liabilities.

Asset activity ratios

Ratios that measure how effectively the firm is managing its assets.

Asset allocation decision

The decision regarding how an institution's funds should be distributed among the
major classes of assets in which it may invest.

Asset-backed security

A security that is collateralized by loans, leases, receivables, or installment contracts
on personal property, not real estate.

Asset-based financing

Methods of financing in which lenders and equity investors look principally to the
cash flow from a particular asset or set of assets for a return on, and the return of, their financing.

Asset classes

Categories of assets, such as stocks, bonds, real estate and foreign securities.

Asset-coverage test

A bond indenture restriction that permits additional borrowing on if the ratio of assets to
debt does not fall below a specified minimum.

Asset for asset swap

Creditors exchange the debt of one defaulting borrower for the debt of another
defaulting borrower.

Asset pricing model

A model for determining the required rate of return on an asset.

Asset substitution

A firm's investing in assets that are riskier than those that the debtholders expected.

Asset substitution problem

Arises when the stockholders substitute riskier assets for the firm's existing
assets and expropriate value from the debtholders.

Asset swap

An interest rate swap used to alter the cash flow characteristics of an institution's assets so as to
provide a better match with its iabilities.

Asset turnover

The ratio of net sales to total assets.

Asset pricing model

A model, such as the Capital Asset Pricing Model (CAPM), that determines the required
rate of return on a particular asset.

Assets

A firm's productive resources.

Assets requirements

A common element of a financial plan that describes projected capital spending and the
proposed uses of net working capital.

Average maturity

The average time to maturity of securities held by a mutual fund. Changes in interest rates
have greater impact on funds with longer average life.

Balance of payments

A statistical compilation formulated by a sovereign nation of all economic transactions
between residents of that nation and residents of all other nations during a stipulated period of time, usually a
calendar year.

Balloon maturity

Any large principal payment due at maturity for a bond or loan with or without a a sinking
fund requirement.

Bank for International Settlements (BIS)

An international bank headquartered in Basel, Switzerland, which
serves as a forum for monetary cooperation among several European central banks, the Bank of Japan, and the
U.S. Federal Reserve System. Founded in 1930 to handle the German payment of World War I reparations, it
now monitors and collects data on international banking activity and promulgates rules concerning
international bank regulation.

British clearers

The large clearing banks that dominate deposit taking and short-term lending in the domestic
sterling market.

Calendar

List of new issues scheduled to come to market shortly.

Calendar effect

The tendency of stocks to perform differently at different times, including such anomalies as
the January effect, month-of-the-year effect, day-of-the-week effect, and holiday effect.

Capital asset pricing model (CAPM)

An economic theory that describes the relationship between risk and
expected return, and serves as a model for the pricing of risky securities. The CAPM asserts that the only risk
that is priced by rational investors is systematic risk, because that risk cannot be eliminated by diversification.
The CAPM says that the expected return of a security or a portfolio is equal to the rate on a risk-free security
plus a risk premium.

Capital expenditures

Amount used during a particular period to acquire or improve long-term assets such as
property, plant or equipment.

Cash

The value of assets that can be converted into cash immediately, as reported by a company. Usually
includes bank accounts and marketable securities, such as government bonds and Banker's Acceptances. cash
equivalents on balance sheets include securities (e.g., notes) that mature within 90 days.

Cash budget

A forecasted summary of a firm's expected cash inflows and cash outflows as well as its
expected cash and loan balances.

Cash and carry

Purchase of a security and simultaneous sale of a future, with the balance being financed
with a loan or repo.

Cash and equivalents

The value of assets that can be converted into cash immediately, as reported by a
company. Usually includes bank accounts and marketable securities, such as government bonds and Banker's
Acceptances. cash equivalents on balance sheets include securities (e.g., notes) that mature within 90 days.

Cash commodity

The actual physical commodity, as distinguished from a futures contract.

Cash conversion cycle

The length of time between a firm's purchase of inventory and the receipt of cash
from accounts receivable.

Cash cow

A company that pays out all earnings per share to stockholders as dividends. Or, a company or
division of a company that generates a steady and significant amount of free cash flow.

Cash cycle

In general, the time between cash disbursement and cash collection. In net working capital
management, it can be thought of as the operating cycle less the accounts payable payment period.

Cash deficiency agreement

An agreement to invest cash in a project to the extent required to cover any cash
deficiency the project may experience.

Cash delivery

The provision of some futures contracts that requires not delivery of underlying assets but
settlement according to the cash value of the asset.

Cash discount

An incentive offered to purchasers of a firm's product for payment within a specified time
period, such as ten days.

Cash dividend

A dividend paid in cash to a company's shareholders. The amount is normally based on
profitability and is taxable as income. A cash distribution may include capital gains and return of capital in
addition to the dividend.

Cash equivalent

A short-term security that is sufficiently liquid that it may be considered the financial
equivalent of cash.

Cash flow

In investments, it represents earnings before depreciation , amortization and non-cash charges.
Sometimes called cash earnings. cash flow from operations (called funds from operations ) by real estate and
other investment trusts is important because it indicates the ability to pay dividends.

Cash flow after interest and taxes

Net income plus depreciation.

Cash flow coverage ratio

The number of times that financial obligations (for interest, principal payments,
preferred stock dividends, and rental payments) are covered by earnings before interest, taxes, rental
payments, and depreciation.

Cash flow from operations

A firm's net cash inflow resulting directly from its regular operations
(disregarding extraordinary items such as the sale of fixed assets or transaction costs associated with issuing
securities), calculated as the sum of net income plus non-cash expenses that were deducted in calculating net
income.

Cash flow matching

Also called dedicating a portfolio, this is an alternative to multiperiod immunization in
which the manager matches the maturity of each element in the liability Stream, working backward from the
last liability to assure all required cash flows.

Cash flow per common share

cash flow from operations minus preferred stock dividends, divided by the
number of common shares outstanding.

Cash flow time-line

Line depicting the operating activities and cash flows for a firm over a particular period.

Cash-flow break-even point

The point below which the firm will need either to obtain additional financing
or to liquidate some of its assets to meet its fixed costs.

Cash management bill

Very short maturity bills that the Treasury occasionally sells because its cash
balances are down and it needs money for a few days.

Cash markets

Also called spot markets, these are markets that involve the immediate delivery of a security
or instrument.
Related: derivative markets.

Cash offer

A public equity issue that is sold to all interested investors.

Cash ratio

The proportion of a firm's assets held as cash.

Cash settlement contracts

Futures contracts, such as stock index futures, that settle for cash, not involving
the delivery of the underlying.

Cash transaction

A transaction where exchange is immediate, as contrasted to a forward contract, which
calls for future delivery of an asset at an agreed-upon price.

Cash-equivalent items

Temporary investments of currently excess cash in short-term, high-quality
investment media such as treasury bills and Banker's Acceptances.

Cash-surrender value

An amount the insurance company will pay if the policyholder ends a whole life
insurance policy.

Cashout

Refers to a situation where a firm runs out of cash and cannot readily sell marketable securities.

Clearing House Automated Payments System (CHAPS)

A computerized clearing system for sterling funds
that began operations in 1984. It includes 14 member banks, nearly 450 participating banks, and is one of the
clearing companies within the structure of the Association for Payment Clearing Services (APACS).

Clearing House Interbank Payments System (CHIPS)

An international wire transfer system for high-value
payments operated by a group of major banks.

Closed-end fund

An investment company that sells shares like any other corporation and usually does not
redeem its shares. A publicly traded fund sold on stock exchanges or over the counter that may trade above or
below its net asset value. Related: Open-end fund.

Closed-end mortgage

Mortgage against which no additional debt may be issued.

Confidence level

The degree of assurance that a specified failure rate is not exceeded.

Consol

A type of bond that has an infinite life but is not issued in the U.S. capital markets.

Consolidation

The combining of two or more firms to form an entirely new entity.

Constant-growth model

Also called the Gordon-Shapiro model, an application of the dividend discount
model which assumes (1) a fixed growth rate for future dividends and (2) a single discount rate.

Coupon payments

A bond's interest payments.

Cum dividend

With dividend.

Cumulative dividend feature

A requirement that any missed preferred or preference stock dividends be paid
in full before any common dividend payment is made.

Current assets

Value of cash, accounts receivable, inventories, marketable securities and other assets that
could be converted to cash in less than 1 year.

Current maturity

Current time to maturity on an outstanding debt instrument.
Current / noncurrent method
Under this currency translation method, all of a foreign subsidiary's current
assets and liabilities are translated into home currency at the current exchange rate while noncurrent assets
and liabilities are translated at the historical exchange rate, that is, the rate in effect at the time the asset was
acquired or the liability incurred.

Deferred nominal life annuity

A monthly fixed-dollar payment beginning at retirement age. It is nominal
because the payment is fixed in dollar amount at any particular time, up to and including retirement.

Dependent

Acceptance of a capital budgeting project contingent on the acceptance of another project.

Detrend

To remove the general drift, tendency or bent of a set of statistical data as related to time.

Discounted cash flow (DCF)

Future cash flows multiplied by discount factors to obtain present values.

Discounted dividend model (DDM)

A formula to estimate the intrinsic value of a firm by figuring the
present value of all expected future dividends.

Discretionary cash flow

cash flow that is available after the funding of all positive NPV capital investment
projects; it is available for paying cash dividends, repurchasing common stock, retiring debt, and so on.

Dividend

A dividend is a portion of a company's profit paid to common and preferred shareholders. A stock
selling for $20 a share with an annual dividend of $1 a share yields the investor 5%.

Dividend clawback

With respect to a project financing, an arrangement under which the sponsors of a project
agree to contribute as equity any prior dividends received from the project to the extent necessary to cover
any cash deficiencies.

Dividend clientele

A group of shareholders who prefer that the firm follow a particular dividend policy. For
example, such a preference is often based on comparable tax situations.

Dividend discount model (DDM)

A model for valuing the common stock of a company, based on the
present value of the expected cash flows.

Dividend growth model

A model wherein dividends are assumed to be at a constant rate in perpetuity.

Dividend limitation

A bond covenant that restricts in some way the firm's ability to pay cash dividends.

Dividend payout ratio

Percentage of earnings paid out as dividends.

Dividends per share

Amount of cash paid to shareholders expressed as dollars per share.

Dividend policy

An established guide for the firm to determine the amount of money it will pay as dividends.

Dividend rate

The fixed or floating rate paid on preferred stock based on par value.

Dividend reinvestment plan (DRP)

Automatic reinvestment of shareholder dividends in more shares of a
company's stock, often without commissions. Some plans provide for the purchase of additional shares at a
discount to market price. Dividend reinvestment plans allow shareholders to accumulate stock over the Long
term using dollar cost averaging. The DRP is usually administered by the company without charges to the
holder.

Dividend rights

A shareholders' rights to receive per-share dividends identical to those other shareholders receive.

Dividend yield (Funds)

Indicated yield represents return on a share of a mutual fund held over the past 12
months. Assumes fund was purchased 1 year ago. Reflects effect of sales charges (at current rates), but not
redemption charges.

Dividend yield (Stocks)

Indicated yield represents annual dividends divided by current stock price.

Dividends per share

Dividends paid for the past 12 months divided by the number of common shares
outstanding, as reported by a company. The number of shares often is determined by a weighted average of
shares outstanding over the reporting term.

Dynamic asset allocation

An asset allocation strategy in which the asset mix is mechanistically shifted in
response to -changing market conditions, as in a portfolio insurance strategy, for example.

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