Definition of Return-to-maturity expectations

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.

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 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.

Average rate of return (ARR)

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

Balloon maturity

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

Biased expectations theories

Related: pure expectations theory.

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.

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.

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.

Expectations hypothesis theories

Theories of the term structure of interest rates which include the pure
expectations theory, the liquidity theory of the term structure, and the preferred habitat theory. These theories
hold that each forward rate equals the expected future interest rate for the relevant period. These three theories
differ, however, on whether other factors also affect forward rates, and how.
expectations theory of forward exchange rates A theory of foreign exchange rates that holds that the
expected future spot foreign exchange rate t periods in the future equals the current t-period forward exchange
rate.

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.

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.

Homogenous expectations assumption

An assumption of Markowitz portfolio construction that investors
have the same expectations with respect to the inputs that are used to derive efficient portfolios: asset returns,
variances, and covariances.

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 required return

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

Local expectations theory

A form of the pure expectations theory which suggests that the returns on bonds
of different maturities will be the same over a short-term investment horizon.

Market return

The return on the market portfolio.

Maturity

For a bond, the date on which the principal is required to be repaid. In an interest rate swap, the
date that the swap stops accruing interest.

Maturity factoring

Factoring arrangement that provides collection and insurance of accounts receivable.

Maturity phase

A phase of company development in which earnings continue to grow at the rate of the
general economy. Related: Three-phase DDM.

Maturity spread

The spread between any two maturity sectors of the bond market.

Maturity value

Related: par value.

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.

Original maturity

maturity at issue. For example, a five year note has an original maturity of 5 years; one
year later it has a maturity of 4 years.

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.

Projected maturity date

With CMOs, final payment at the end of the estimated cash flow window.

Pure expectations theory

A theory that asserts that the forward rates exclusively represent the expected
future rates. In other words, the entire term structure reflects the markets expectations of future short-term
rates. For example, an increasing sloping term structure implies increasing short-term interest rates. Related:
biased expectations theories

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.

Rational expectations

The idea that people rationally anticipate the future and respond to what they see ahead.

Realized return

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

Remaining maturity

The length of time remaining until a bond's maturity.

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.

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.

Stated maturity

For the CMO tranche, the date the last payment would occur at zero CPR.

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.

Term to maturity

The time remaining on a bond's life, or the date on which the debt will cease to exist and
the borrower will have completely paid off the amount borrowed. See: maturity.

Time to maturity

The time remaining until a financial contract expires. Also called time until expiration.

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 required return

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

Weighted average maturity

The WAM of a MBS is the weighted average of the remaining terms to maturity
of the mortgages underlying the collateral pool at the date of issue, using as the weighting factor the balance
of each of the mortgages as of the issue date.

Weighted average remaining maturity

The average remaining term of the mortgages underlying a MBS.

Yield to maturity

The percentage rate of return paid on a bond, note or other fixed income security if you
buy and hold it to its maturity date. The calculation for YTM is based on the coupon rate, length of time to
maturity and market price. It assumes that coupon interest paid over the life of the bond will be reinvested at
the same rate.

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.

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.

Maturity

The date or the number of days until a security is due to be paid or
a loan is to be repaid

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.

Yield to Maturity

The measure of the average rate of return that will be earned on a
debt security held until it matures

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

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

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.

Maturity date

The date when the issuer returns the final face value of a bond
to the buyer.

Yield to maturity

A measure of the average rate of return that will be earned
on a bond if held 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.

book rate of return

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

expectations theory of exchange rates

Theory that expected spot exchange rate equals the forward rate.

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