Definition of Expected return-beta relationship

Expected return-beta relationship

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

CARs (cumulative abnormal returns)

a measure used in academic finance articles to measure the excess returns an investor would have received over a particular time period if he or she were invested in a particular stock.
This is typically used in control and takeover studies, where stockholders are paid a premium for being taken over. Starting some time period before the takeover (often five days before the first announced bid, but sometimes a longer period), the researchers calculate the actual daily stock returns for the target firm and subtract out the expected market returns (usually calculated using the firm’s beta and applying it to overall market movements during the time period under observation).
The excess actual return over the capital asset pricing model-determined expected return market is called an ‘‘abnormal return.’’ The cumulation of the daily abnormal returns over the time period under observation is the CAR. The term CAR(-5, 0) means the CAR calculated from five days before the
announcement to the day of announcement. The CAR(-1, 0) is a control premium, although Mergerstat generally uses the stock price five days before announcement rather than one day before announcement as the denominator in its control premium calculation. However, the CAR for any period other than (-1, 0) is not mathematically equivalent to a control premium.

Abnormal returns

Part of the return that is not due to systematic influences (market wide influences). In
other words, abnormal returns are above those predicted by the market movement alone. Related: excess
returns.

After-tax real rate of return

Money after-tax rate of return minus the inflation rate.

Annualized holding period return

The annual rate of return that when compounded t times, would have
given the same t-period holding return as actually occurred from period 1 to period t.

Arithmetic average (mean) rate of return

Arithmetic mean return.

Arithmetic mean return

An average of the subperiod returns, calculated by summing the subperiod returns
and dividing by he number of subperiods.

Average accounting return

The average project earnings after taxes and depreciation divided by the average
book value of the investment during its life.

Average rate of return (ARR)

The ratio of the average cash inflow to the amount invested.

Beta (Mutual Funds)

The measure of a fund's or stocks risk in relation to the market. A beta of 0.7 means
the fund's total return is likely to move up or down 70% of the market change; 1.3 means total return is likely
to move up or down 30% more than the market. beta is referred to as an index of the systematic risk due to
general market conditions that cannot be diversified away.

Beta equation (Mutual Funds)

The beta of a fund is determined as follows:
[(n) (sum of (xy)) ]-[ (sum of x) (sum of y)]
[(n) (sum of (xx)) ]-[ (sum of x) (sum of x)]
where: n = # of observations (36 months)
x = rate of return for the S&P 500 Index
y = rate of return for the fund

Beta equation (Stocks)

The beta of a stock is determined as follows:
[(n) (sum of (xy)) ]-[(sum of x) (sum of y)]
[(n) (sum of (xx)) ]-[(sum of x) (sum of x)]
where: n = # of observations (24-60 months)
x = rate of return for the S&P 500 Index
y = rate of return for the stock

Country beta

Covariance of a national economy's rate of return and the rate of return the world economy
divided by the variance of the world economy.

Cumulative abnormal return (CAR)

Sum of the differences between the expected return on a stock and the
actual return that comes from the release of news to the market.

Dollar return

The return realized on a portfolio for any evaluation period, including (1) the change in market
value of the portfolio and (2) any distributions made from the portfolio during that period.

Dollar-weighted rate of return

Also called the internal rate of return, the interest rate that will make the
present value of the cash flows from all the subperiods in the evaluation period plus the terminal market value
of the portfolio equal to the initial market value of the portfolio.

Ex post return

Related: Holding period return

Exante return

The expected return of a portfolio based on the expected returns of its component assets and
their weights.

Excess return on the market portfolio

The difference between the return on the market portfolio and the
riskless rate.

Excess returns

Also called abnormal returns, returns in excess of those required by some asset pricing model.

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 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.

Foreign market beta

A measure of foreign market risk that is derived from the capital asset pricing model.

Fundamental beta

The product of a statistical model to predict the fundamental risk of a security using not
only price data but other market-related and financial data.

Geometric mean return

Also called the time weighted rate of return, a measure of the compounded rate of
growth of the initial portfolio market value during the evaluation period, assuming that all cash distributions
are reinvested in the portfolio. It is computed by taking the geometric average of the portfolio subperiod
returns.

Holding period return

The rate of return over a given period.

Horizon return

Total return over a given horizon.

Incremental internal rate of return

IRR on the incremental investment from choosing a large project
instead of a smaller project.

Internal rate of return

Dollar-weighted rate of return. Discount rate at which net present value (NPV)
investment is zero. The rate at which a bond's future cash flows, discounted back to today, equals its price.

Leveraged beta

The beta of a leveraged required return; that is, the beta as adjusted for the degree of
leverage in the firm's capital structure.

Leveraged required return

The required return on an investment when the investment is financed partially by debt.

Market return

The return on the market portfolio.

Money rate of return

Annual money return as a percentage of asset value.

Multiple rates of return

More than one rate of return from the same project that make the net present value
of the project equal to zero. This situation arises when the IRR method is used for a project in which negative
cash flows follow positive cash flows. For each sign change in the cash flows, there is a rate of return.

Portfolio internal rate of return

The rate of return computed by first determining the cash flows for all the
bonds in the portfolio and then finding the interest rate that will make the present value of the cash flows
equal to the market value of the portfolio.

Price-volume relationship

A relationship espoused by some technical analysts that signals continuing rises
and falls in security prices based on accompanying changes in volume traded.

Principal-agent relationship

A situation that can be modeled as one person, an agent, who acts on the behalf
of another person, the principal.

Put-call parity relationship

The relationship between the price of a put and the price of a call on the same
underlying security with the same expiration date, which prevents arbitrage opportunities. Holding the stock
and buying a put will deliver the exact payoff as buying one call and investing the present value (PV) of the
exercise price. The call value equals C=S+P-PV(k).

Rate of return ratios

Ratios that are designed to measure the profitability of the firm in relation to various
measures of the funds invested in the firm.

Realized return

The return that is actually earned over a given time period.

Required return

The minimum expected return you would require to be willing to purchase the asset, that is,
to make the investment.

Return

The change in the value of a portfolio over an evaluation period, including any distributions made
from the portfolio during that period.

Return on assets (ROA)

Indicator of profitability. Determined by dividing net income for the past 12 months
by total average assets. Result is shown as a percentage. ROA can be decomposed into return on sales (net
income/sales) multiplied by asset utilization (sales/assets).

Return on equity (ROE)

Indicator of profitability. Determined by dividing net income for the past 12
months by common stockholder equity (adjusted for stock splits). Result is shown as a percentage. Investors
use ROE as a measure of how a company is using its money. ROE may be decomposed into return on assets
(ROA) multiplied by financial leverage (total assets/total equity).

Return on investment (ROI)

Generally, book income as a proportion of net book value.

Return on total assets

The ratio of earnings available to common stockholders to total assets.

Return-to-maturity expectations

A variant of pure expectations theory which suggests that the return that an
investor will realize by rolling over short-term bonds to some investment horizon will be the same as holding
a zero-coupon bond with a maturity that is the same as that investment horizon.

Riskless rate of return

The rate earned on a riskless asset.

Safety-net return

The minimum available return that will trigger an immunization strategy in a contingent
immunization strategy.

Subperiod return

The return of a portfolio over a shorter period of time than the evaluation period.

T-period holding-period return

The percentage return over the T-year period an investment lasts.

Time-weighted rate of return

Related: Geometric mean return.

Total dollar return

The dollar return on a nondollar investment, which includes the sum of any
dividend/interest income, capital gains or losses, and currency gains or losses on the investment.
See also: total return.

Total return

In performance measurement, the actual rate of return realized over some evaluation period. In
fixed income analysis, the potential return that considers all three sources of return (coupon interest, interest
on interest, and any capital gain/loss) over some i nvestment horizon.

Unleveraged beta

The beta of an unleveraged required return (i.e. no debt) on an investment when the
investment is financed entirely by equity.

Unleveraged required return

The required return on an investment when the investment is financed entirely
by equity (i.e. no debt).

Zero-beta portfolio

A portfolio constructed to represent the risk-free asset, that is, having a beta of zero.

RATE OF RETURN ON STOCKHOLDERS’ EQUITY

The percentage return or profit that management made on each dollar stockholders invested in a company. Here’s how you figure it:
(Net income) / (Stockholders’ equity)

RATE OF RETURN ON TOTAL ASSETS

The percentage return or profit that management made on each dollar of assets. The formula is:
(Net income) / (Total assets)

RETURN ON INVESTMENT (ROI)

In its most basic form, the rate of return equals net income divided by the amount of money invested. It can be applied to a particular product or piece of equipment, or to a business as a whole.

Accounting rate of return (ARR)

A method of investment appraisal that measures
the profit generated as a percentage of the
investment – see return on investment.

Internal rate of return (IRR)

A discounted cash flow technique used for investment appraisal that calculates the effective cost of capital that produces a net present value of zero from a series of future cash flows and an
initial capital investment.

Return on capital employed (ROCE)

The operating profit before interest and tax as a percentage of the total shareholders’ funds plus
the long-term debt of the business.

Return on investment (ROI)

The net profit after tax as a percentage of the shareholders’ investment in the business.

Target rate of return pricing

A method of pricing that estimates the desired return on investment to be achieved from the
fixed and working capital investment and includes that return in the price of a product/service.

Purchase returns

A contra account that reduces purchases by the amount of items purchased that were subsequently returned.

Sales returns

A contra account that offsets revenue. It represents the amount of sales made that were later returned.

internal rate of return (IRR)

The precise discount rate that makes the
present value (PV) of the future cash returns from a capital investment
exactly equal to the initial amount of capital invested. If IRR is higher
than the company’s cost-of-capital rate, the investment is an attractive
opportunity; if less, the investment is substandard from the cost-ofcapital
point of view.

return on assets (ROA)

Although there is no single uniform practice for
calculating this ratio, generally it equals operating profit (before interest
and income tax) for a year divided by the total assets that are used to
generate the profit. ROA is the key ratio to test whether a business is
earning enough on its assets to cover its cost of capital. ROA is used for
determining financial leverage gain (or loss).

return on equity (ROE)

This key ratio, expressed as a percent, equals net
income for the year divided by owners’ equity. ROE should be higher than
a business’s interest rate on debt because the owners take more risk.

return on investment (ROI)

A very general concept that refers to some
measure of income, earnings, profit, or gain over a period of time
divided by the amount of capital invested during the period. It is almost
always expressed as a percent. For a business, an important ROI measure
is its return on equity (ROE), which is computed by dividing its net
income for the period by its owners’ equity during the period.

return on sales

This ratio equals net income divided by sales revenue.

Beta

A measure of the riskiness of a specific security compared to the
riskiness of the market as a whole; measure of the systematic risk
of a security or a portfolio of securities

Expected Value

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

Internal Rate of Return (IRR)

The discount rate that equates the present value of the net cash
inflows with the present value of the net cash outflows
(investments). The IRR measures the profitability (rate of return) of
an investment in a project or security.

Return on Common Equity Ratio

A measure of the percentage return earned on the value of the
common equity invested in the company. It is calculated by
dividing the net income available for distribution to shareholders
by the book value of the common equity.

Return on Total Assets Ratio

A measure of the percentage return earned on the value of the
assets in the company. It is calculated by dividing the net income
available for distribution to shareholders by the book value of all
assets.

accounting rate of return (ARR)

the rate of earnings obtained on the average capital investment over the life of a capital project; computed as average annual profits divided by average investment; not based on cash flow

expected capacity

a short-run concept that represents the
anticipated level of capacity to be used by a firm in the
upcoming period, based on projected product demand

expected standard

standard set at a level that reflects what
is actually expected to occur in the future period; it anticipates
future waste and inefficiencies and allows for them;
is of limited value for control and performance evaluation purposes

internal rate of return (IRR)

the expected or actual rate of
return from a project based on, respectively, the assumed
or actual cash flows; the discount rate at which the net
present value of the cash flows equals zero

return of capital

the recovery of the original investment (or principal) in a project

return on capital

income; it is equal to the rate of return multiplied by the amount of the investment

return on investment

a ratio that relates income generated
by an investment center to the resources (or asset base)
used to produce that income

total expected value (for a project)

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

Beta

The price volatility of a financial instrument relative to the price
volatility of a market or index as a whole. beta is most commonly used with
respect to equities. A high-beta instrument is riskier than a low-beta
instrument.

Internal rate of return

a. The average annual yield earned by an investment during the period held.
b. The effective rate of interest on a loan.
c. The discount rate in discounted cash flow analysis.
d. The rate that adjusts the value of future cash receipts earned by an investment so that interest earned equals the original cost.
See Yield to maturity.

Internal rate of return

The rate of return at which the present value of a series of future
cash flows equals the present value of all associated costs. This measure is most
commonly used in capital budgeting.

beta

Sensitivity of a stock’s return to the return on the market
portfolio.

book rate of return

Accounting income divided by book value.
Also called accounting rate of return.

internal rate of return (IRR)

Discount rate at which project NPV = 0.

rate of return

Total income per period per dollar invested.

Return

See yield.

Absolute Right of Return

Goods may be returned to the seller by the purchaser without restrictions.

Right of Return

A sales agreement provision that permits a buyer to return products purchased
for an agreed-upon period of time.

Inventory returns

Inventory returned from a customer for any reason. This receipt
is handled differently from a standard inventory receipt, typically into an inspection
area, from which it may be returned to stock, reworked, or scrapped.

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