Definition of Expected Value

Expected Value

The value of the possible outcomes of a variable weighted by the
probabilities of each outcome

Expected value

The weighted average of a probability distribution.

Expected value of perfect information

The expected value if the future uncertain outcomes could be known
minus the expected value with no additional information.

total expected value (for a project)

the sum of the individual cash flows in a probability distribution multiplied by their related probabilities

Insurance principle

The law of averages. The average outcome for many independent trials of an experiment
will approach the expected value of the experiment.

Law of large numbers

The mean of a random sample approaches the mean (expected value) of the
population as the sample grows.

Mean

The expected value of a random variable.

Mean-variance analysis

Evaluation of risky prospects based on the expected value and variance of possible outcomes.

Risk-adjusted profitability

A probability used to determine a "sure" expected value (sometimes called a
certainty equivalent) that would be equivalent to the actual risky expected value.

Stopping curve

A curve showing the refunding rates for different points in time at which the expected value
of refunding immediately equals the expected value of waiting to refund.

Standard Deviation

A statistical term that measures the dispersion of a variable
around its expected value. The standard deviation is often used as
a measure of risk when applied to a return on an investment.

Variance

The weighted average of the squared deviations from the
expected value

coefficient of variation

a measure of risk used when the standard deviations for multiple projects are approximately
the same but the expected values are significantly different

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, . . .

Adjusted present value (APV)

The net present value analysis of an asset if financed solely by equity
(present value of un-levered cash flows), plus the present value of any financing decisions (levered cash
flows). In other words, the various tax shields provided by the deductibility of interest and the benefits of
other investment tax credits are calculated separately. This analysis is often used for highly leveraged
transactions such as a leverage buy-out.

Bond value

With respect to convertible bonds, the value the security would have if it were not convertible
apart from the conversion option.

Book value

A company's book value is its total assets minus intangible assets and liabilities, such as debt. A
company's book value might be more or less than its market value.

Book value per share

The ratio of stockholder equity to the average number of common shares. Book value
per share should not be thought of as an indicator of economic worth, since it reflects accounting valuation
(and not necessarily market valuation).

Carrying value

Book value.

Cash-surrender value

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

Conversion value

Also called parity value, the value of a convertible security if it is converted immediately.

Exercise value

The amount of advantage over a current market transaction provided by an in-the-money
option.

Expected future cash flows

Projected future cash flows associated with an asset of decision.

Expected future return

The return that is expected to be earned on an asset in the future. Also called the
expected return.

Expected return

The return expected on a risky asset based on a probability distribution for the possible rates
of return. expected return equals some risk free rate (generally the prevailing U.S. Treasury note or bond rate)
plus a risk premium (the difference between the historic market return, based upon a well diversified index
such as the S&P500 and historic U.S. Treasury bond) multiplied by the assets beta.

Expected return on investment

The return one can expect to earn on an investment. See: capital asset
pricing model.

Expected return-beta relationship

Implication of the CAPM that security risk premiums will be
proportional to beta.

Extraordinary positive value

A positive net present value.

Face value

See: Par value.

Firm's net value of debt

Total firm value minus total firm debt.

Future value

The amount of cash at a specified date in the future that is equivalent in value to a specified
sum today.

Intrinsic value of an option

The amount by which an option is in-the-money. An option which is not in-themoney
has no intrinsic value. Related: in-the-money.

Intrinsic value of a firm

The present value of a firm's expected future net cash flows discounted by the
required rate of return.

Investment value

Related:straight value.

Liquidation value

Net amount that could be realized by selling the assets of a firm after paying the debt.

Loan value

The amount a policyholder may borrow against a whole life insurance policy at the interest rate
specified in the policy.

Market value

1) The price at which a security is trading and could presumably be purchased or sold.
2) The value investors believe a firm is worth; calculated by multiplying the number of shares outstanding by the
current market price of a firm's shares.

Market value ratios

Ratios that relate the market price of the firm's common stock to selected financial
statement items.

Market value-weighted index

An index of a group of securities computed by calculating a weighted average
of the returns on each security in the index, with the weights proportional to outstanding market value.

Maturity value

Related: par value.

Net adjusted present value

The adjusted present value minus the initial cost of an investment.

Net asset value (NAV)

The value of a fund's investments. For a mutual fund, the net asset value per share
usually represents the fund's market price, subject to a possible sales or redemption charge. For a closed end
fund, the market price may vary significantly from the net asset value.

Net book value

The current book value of an asset or liability; that is, its original book value net of any
accounting adjustments such as depreciation.

Net present value (NPV)

The present value of the expected future cash flows minus the cost.

Net present value of growth opportunities

A model valuing a firm in which net present value of new
investment opportunities is explicitly examined.

Net present value of future investments

The present value of the total sum of NPVs expected to result from
all of the firm's future investments.

Net present value rule

An investment is worth making if it has a positive NPV. Projects with negative NPVs
should be rejected.

Net salvage value

The after-tax net cash flow for terminating the project.

Original face value

The principal amount of the mortgage as of its issue date.

Par value

Also called the maturity value or face value, the amount that the issuer agrees to pay at the maturity date.

Parity value

Related:conversion value

Present value

The amount of cash today that is equivalent in value to a payment, or to a stream of payments,
to be received in the future.

Present value factor

Factor used to calculate an estimate of the present value of an amount to be received in
a future period.

Present value of growth opportunities (NPV)

Net present value of investments the firm is expected to make
in the future.

Price value of a basis point (PVBP)

Also called the dollar value of a basis point, a measure of the change in
the price of the bond if the required yield changes by one basis point.

Relative value

The attractiveness measured in terms of risk, liquidity, and return of one instrument relative to
another, or for a given instrument, of one maturity relative to another.

Replacement value

Current cost of replacing the firm's assets.

Residual value

Usually refers to the value of a lessor's property at the time the lease expires.

Salvage value

Scrap value of plant and equipment.

Standardized value

Also called the normal deviate, the distance of one data point from the mean, divided by
the standard deviation of the distribution.

Straight value

Also called investment value, the value of a convertible security without the con-version option.

Terminal value

The value of a bond at maturity, typically its par value, or the value of an asset (or an entire
firm) on some specified future valuation date.

Time value of an option

The portion of an option's premium that is based on the amount of time remaining
until the expiration date of the option contract, and that the underlying components that determine the value of
the option may change during that time. Time value is generally equal to the difference between the premium
and the intrinsic value. Related: in-the-money.

Time value of money

The idea that a dollar today is worth more than a dollar in the future, because the dollar
received today can earn interest up until the time the future dollar is received.

Utility value

The welfare a given investor assigns to an investment with a particular return and risk.

Value-added tax

Method of indirect taxation whereby a tax is levied at each stage of production on the value
added at that specific stage.

Value-at-Risk model (VAR)

Procedure for estimating the probability of portfolio losses exceeding some
specified proportion based on a statistical analysis of historical market price trends, correlations, and volatilities.

Value additivity principal

Prevails when the value of a whole group of assets exactly equals the sum of the
values of the individual assets that make up the group of assets. Stated differently, the principle that the net
present value of a set of independent projects is just the sum of the net present values of the individual projects.

Value date

In the market for Eurodollar deposits and foreign exchange, value date refers to the delivery date
of funds traded. Normally it is on spot transactions two days after a transaction is agreed upon and the future
date in the case of a forward foreign exchange trade.

Value dating

Refers to when value or credit is given for funds transferred between banks.

Value manager

A manager who seeks to buy stocks that are at a discount to their "fair value" and sell them at
or in excess of that value. Often a value stock is one with a low price to book value ratio.

BOOK VALUE

An asset’s cost basis minus accumulated depreciation.

BOOK VALUE OF COMMON STOCK

The theoretical amount per share that each stockholder would receive if a company’s assets were sold on the balance sheet’s date. Book value equals:
(Stockholders’ equity) / (Common stock shares outstanding)

CAPITAL IN EXCESS OF PAR VALUE

What a company collected when it sold stock for more than the par value per share.

PAR VALUE

An arbitrary value that a company may assign to its stock. Par value has no relationship to what the stock is selling for on the open market.

SALVAGE VALUE

The amount management estimates a piece of equipment will be worth at the end of its useful life, either as a trade-in or if it were sold for scrap.

Cash value added (CVA)

A method of investment appraisal that calculates the ratio of the net present value of an
investment to the initial capital investment.

Economic Value Added (EVA)

Operating profit, adjusted to remove distortions caused by certain accounting rules, less a charge
to cover the cost of capital invested in the business.

Net present value (NPV)

A discounted cash flow technique used for investment appraisal that calculates the present value of future cash flows and deducts the initial capital investment.

Shareholder value

Increasing the value of the business to its shareholders, achieved through a combination of
dividend and capital growth in the value of the shares.

Value-based management

A variety of approaches that emphasize increasing shareholder value as the primary goal of every business.

No par value stock

Stock issued by the company that does not have an arbitrary value (par value) assigned to it.

Par value

An arbitrary value assigned by the company to each share of stock; it is used in the accounting for the sale of stock and in some jurisdictions for calculating taxes.

Stated value stock

Stock issued by the company that does not have a par value, but does have a stated value. For accounting purposes, stated value is functionally equivalent to par value.

book value and book value per share

Generally speaking, these terms
refer to the balance sheet value of an asset (or less often of a liability) or
the balance sheet value of owners’ equity per share. Either term emphasizes
that the amount recorded in the accounts or on the books of a business
is the value being used. The total of the amounts reported for
owners’ equity in its balance sheet is divided by the number of stock
shares of a corporation to determine the book value per share of its capital
stock.

net present value (NPV)

Equals the present value (PV) of a capital investment
minus the initial amount of capital that is invested, or the entry cost
of the investment. A positive NPV signals an attractive capital investment
opportunity; a negative NPV means that the investment is substandard.

present value (PV)

This amount is calculated by discounting the future
cash returns from a capital investment. The discount rate usually is the
cost-of-capital rate for the business. If PV is more than the initial amount
of capital that has to be invested, the investment is attractive. If less,
then better investment alternatives should be found.

Book Value

The value of an asset as carried on the balance sheet of a
company. In reference to the value of a company, it is the net worth
(equity) of the company.

Book Value per Share

The book value of a company divided by the number of shares
outstanding

Face Value

The nominal value of a security. Also called the par value.

Future Value

The amount a given payment, or series of payments, will be worth
at the end of a specified time period, if invested at a given rate

Liquidation Value

The net proceeds (after taxes and expenses) of selling the assets
of a company at fair market prices

Net Present Value (NPV)

The present value of all future cash inflows minus the present value
of all cash outflows

Par Value

Nominal value of a security. Same as face value.

Present Value (PV)

The dollar value at the present time (year zero) of a single cash
flow or a stream of future cash flows. The present value is
calculated by discounting the future cash flows.

Replacement Value

The amount necessary to duplicate a company's assets at current
market prices

Residual Value

The value attributed to a company to represent all future cash flows
after the end of the forecast period

approximated net realizable value at split-off allocation

a method of allocating joint cost to joint products using a
simulated net realizable value at the split-off point; approximated
value is computed as final sales price minus
incremental separate costs

business-value-added activity

an activity that is necessary for the operation of the business but for which a customer would not want to pay

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