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Yield curve option-pricing models

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Definition of Yield curve option-pricing models

Yield Curve Option-pricing Models Image 1

Yield curve option-pricing models

models that can incorporate different volatility assumptions along the
yield curve, such as the Black-Derman-Toy model. Also called arbitrage-free option-pricing models.



Related Terms:

Abandonment option

The option of terminating an investment earlier than originally planned.


Administrative pricing rules

IRS rules used to allocate income on export sales to a foreign sales corporation.


Aggregate Demand Curve

Combinations of the price level and income for which the goods and services market is in equilibrium, or for which both the goods and services market and the money market are in equilibrium.


Aggregate Expenditure Curve

Aggregate demand for goods and services drawn as a function of the level of national income.


Aggregate Supply Curve

Combinations of price level and income for which the labor market is in equilibrium. The short-run aggregate supply curve incorporates information and price/wage inflexibilities in the labor market, whereas the long-run aggregate supply curve does not.



American option

An option that may be exercised at any time up to and including the expiration date.
Related: European option


American option

An option that can be exercised any time until its
expiration date. Contrast with European option.


Yield Curve Option-pricing Models Image 2

American-style option

An option contract that can be exercised at any time between the date of purchase and
the expiration date. Most exchange-traded options are American style.


Annual percentage yield (APY)

The effective, or true, annual rate of return. The APY is the rate actually
earned or paid in one year, taking into account the affect of compounding. The APY is calculated by taking
one plus the periodic rate and raising it to the number of periods in a year. For example, a 1% per month rate
has an APY of 12.68% (1.01^12).


Arbitrage-free option-pricing models

yield curve option-pricing models.


Arbitrage Pricing Theory (APT)

An alternative model to the capital asset pricing model developed by
Stephen Ross and based purely on arbitrage arguments.


Asian option

option based on the average price of the asset during the life of the option.


Asset pricing model

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


Asset pricing model

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


Bargain-purchase-price option

Gives the lessee the option to purchase the asset at a price below fair market
value when the lease expires.


Barrier options

Contracts with trigger points that, when crossed, automatically generate buying or selling of
other options. These are very exotic options.


Basket options

Packages that involve the exchange of more than two currencies against a base currency at
expiration. The basket option buyer purchases the right, but not the obligation, to receive designated
currencies in exchange for a base currency, either at the prevailing spot market rate or at a prearranged rate of
exchange. A basket option is generally used by multinational corporations with multicurrency cash flows
since it is generally cheaper to buy an option on a basket of currencies than to buy individual options on each
of the currencies that make up the basket.


Binomial option pricing model

An option pricing model in which the underlying asset can take on only two
possible, discrete values in the next time period for each value that it can take on in the preceding time period.



Black-Scholes option-pricing model

A model for pricing call options based on arbitrage arguments that uses
the stock price, the exercise price, the risk-free interest rate, the time to expiration, and the standard deviation
of the stock return.


Bond equivalent yield

Bond yield calculated on an annual percentage rate method. Differs from annual
effective yield.


Bond-equivalent yield

The annualized yield to maturity computed by doubling the semiannual yield.


Bond Equivalent Yield

Bond yield calculated on an annual percentage rate method


cafeteria plan a “menu” of fringe benefit options that include

cash or nontaxable benefits


Call an option

To exercise a call option.


Call option

An option contract that gives its holder the right (but not the obligation) to purchase a specified
number of shares of the underlying stock at the given strike price, on or before the expiration date of the
contract.
Call premium
Premium in price above the par value of a bond or share of preferred stock that must be paid to
holders to redeem the bond or share of preferred stock before its scheduled maturity date.


Call Option

A contract that gives the holder the right to buy an asset for a
specified price on or before a given expiration (maturity) date


call option

Right to buy an asset at a specified exercise price on or before the exercise date.


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 Asset Pricing Model (CAPM)

A model for estimating equilibrium rates of return and values of
assets in financial markets; uses beta as a measure of asset risk
relative to market risk


capital asset pricing model (CAPM)

Theory of the relationship between risk and return which states that the expected risk
premium on any security equals its beta times the market risk premium.


Capital gains yield

The price change portion of a stock's return.


Compound option

option on an option.


Convenience yield

The extra advantage that firms derive from holding the commodity rather than the future.


Cost-plus pricing

A method of pricing in which a mark-up is added to the total product/service cost.


Coupon equivalent yield

True interest cost expressed on the basis of a 365-day year.


Covered or hedge option strategies

Strategies that involve a position in an option as well as a position in the
underlying stock, designed so that one position will help offset any unfavorable price movement in the other,
including covered call writing and protective put buying. Related: naked strategies


Currency option

An option to buy or sell a foreign currency.


Current yield

For bonds or notes, the coupon rate divided by the market price of the bond.


current yield

Annual coupon payments divided by bond price.


Current Yield

The percentage return on a financial asset based on the current price of the asset, without reference to any expected change in the price of the asset. This contrasts with yield-to-maturity, for which the calculation includes expected price changes. See also yield.


Dealer options

Over-the-counter options, such as those offered by government and mortgage-backed
securities dealers.


Delivery options

The options available to the seller of an interest rate futures contract, including the quality
option, the timing option, and the wild card option. Delivery options make the buyer uncertain of which
Treasury Bond will be delivered or when it will be delivered.


Deterministic models

Liability-matching models that assume that the liability payments and the asset cash
flows are known with certainty. Related: Compare stochastic models


Discount curve

The curve of discount rates vs. maturity dates for bonds.


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 ratio

Cash dividends paid by a business over the most
recent 12 months (called the trailing 12 months) divided by the current
market price per share of the stock. This ratio is reported in the daily
stock trading tables in the Wall Street Journal and other major newspapers.


Dividend yield (Stocks)

Indicated yield represents annual dividends divided by current stock price.


Doubling option

A sinking fund provision that may allow repurchase of twice the required number of bonds
at the sinking fund call price.


Down-and-in option

Barrier option that comes into existence if asset price hits a barrier.


Down-and-out option

Barrier option that expires if asset price hits a barrier.


dual pricing arrangement

a transfer pricing system that allows
a selling division to record the transfer of goods or
services at one price (e.g., a market or negotiated market
price) and a buying division to record the transfer at another
price (e.g., a cost-based amount)


Earnings yield

The ratio of earnings per share after allowing for tax and interest payments on fixed interest
debt, to the current share price. The inverse of the price/earnings ratio. It's the Total Twelve Months earnings
divided by number of outstanding shares, divided by the recent price, multiplied by 100. The end result is
shown in percentage.


Effective annual yield

Annualized interest rate on a security computed using compound interest techniques.


Effective Annual Yield

Annualized rate of return on a security computed using compound
interest techniques


Elasticity of an option

Percentage change in the value of an option given a 1% change in the value of the
option's underlying stock.


Embedded option

An option that is part of the structure of a bond that provides either the bondholder or
issuer the right to take some action against the other party, as opposed to a bare option, which trades
separately from any underlying security.


Equity options

Securities that give the holder the right to buy or sell a specified number of shares of stock, at
a specified price for a certain (limited) time period. Typically one option equals 100 shares of stock.


Equivalent bond yield

Annual yield on a short-term, non-interest bearing security calculated so as to be
comparable to yields quoted on coupon securities.


Equivalent taxable yield

The yield that must be offered on a taxable bond issue to give the same after-tax
yield as a tax-exempt issue.


Escalating Price Option

A nonqualified stock option that uses a sliding scale for
the option price that changes in concert with a peer group index.


European option

option that may be exercised only at the expiration date. Related: american option.


European option

An option that can be exercised only on its expiration date.
Contrast with American option.


European-style option

An option contract that can only be exercised on the expiration date.


Exercising the option

The act buying or selling the underlying asset via the option contract.


Exit Options

A variety of options available to an investor to recover their invested capital and the return on their investment.


Extrapolative statistical models

models that apply a formula to historical data and project results for a
future period. Such models include the simple linear trend model, the simple exponential model, and the
simple autoregressive model.


Flattening of the yield curve

A change in the yield curve where the spread between the yield on a long-term
and short-term Treasury has decreased. Compare steepening of the yield curve and butterfly shift.


Foreign currency option

An option that conveys the right to buy or sell a specified amount of foreign
currency at a specified price within a specified time period.


Futures option

An option on a futures contract. Related: options on physicals.


Garmen-Kohlhagen option pricing model

A widely used model for pricing foreign currency options.


Greenshoe option

option that allows the underwriter for a new issue to buy and resell additional shares.


Heavenly Parachute Stock Option

A nonqualified stock option that allows a deceased option holder’s estate up to three years in which to exercise his or her
options.


High-yield bond

See:junk bond.


Incentive Stock Option

An option to purchase company stock that is not taxable
to the employee at the time it is granted nor at the time when the employee
eventually exercises the option to buy stock.


Index and Option Market (IOM)

A division of the CME established in 1982 for trading stock index
products and options. Related: Chicago Mercantile Exchange (CME).


Index option

A call or put option based on a stock market index.


Indicated yield

The yield, based on the most recent quarterly rate times four. To determine the yield, divide
the annual dividend by the price of the stock. The resulting number is represented as a percentage. See:
dividend yield.


Indifference curve

The graphical expression of a utility function, where the horizontal axis measures risk and
the vertical axis measures expected return. The curve connects all portfolios with the same utilities according
to g and s .


Interest Option

One of several investment accounts in which your premiums may be invested within your life insurance policy.


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.


Irrational call option

The implied call imbedded in the MBS. Identified as irrational because the call is
sometimes not exercised when it is in the money (interest rates are below the threshold to refinance).
Sometimes exercised when not in the money (home sold without regard to the relative level of interest rates).


J-curve

Theory that says a country's trade deficit will initially worsen after its currency depreciates because
higher prices on foreign imports will more than offset the reduced volume of imports in the short-run.


labor yield variance

(standard mix X actual hours X standard rate) - (standard mix X standard hours X standard rate);
it shows the monetary impact of using more or fewer total hours than the standard allowed


Laffer Curve

curve showing how tax receipts vary with the tax rate.


learning curve

a model that helps predict how labor time
will decrease as people become more experienced at performing
a task and eliminate the inefficiencies associated
with unfamiliarity


Liquid yield option note (LYON)

Zero-coupon, callable, putable, convertible bond invented by Merrill


Liquid yield option note (LYON)

Zero-coupon, callable, putable, convertible bond invented by Merrill Lynch & Co.


Lookback option

An option that allows the buyer to choose as the option strike price any price of the
underlying asset that has occurred during the life of the option. If a call, the buyer will choose the minimal
price, whereas if a put, the buyer will choose the maximum price. This option will always be in the money.


Margin requirement (Options)

The amount of cash an uncovered (naked) option writer is required to
deposit and maintain to cover his daily position valuation and reasonably foreseeable intra-day price changes.


material yield variance

(standard mix X actual quantity X standard price) - (standard mix X standard quantity X standard price);
it computes the difference between the
actual total quantity of input and the standard total quantity
allowed based on output and uses standard mix and
standard prices to determine variance


Multi-option financing facility

A syndicated confirmed credit line with attached options.


Naked option strategies

An unhedged strategy making exclusive use of one of the following: Long call
strategy (buying call options ), short call strategy (selling or writing call options), Long put strategy (buying
put options ), and short put strategy (selling or writing put options). By themselves, these positions are called
naked strategies because they do not involve an offsetting or risk-reducing position in another option or the
underlying security.
Related: covered option strategies.


Non-parallel shift in the yield curve

A shift in the yield curve in which yields do not change by the same
number of basis points for every maturity. Related: Parallel shift in the yield curve.


Nonqualified Stock Option

A stock option not given any favorable tax treatment
under the Internal Revenue Code. The option is taxed when it is exercised,
based on the difference between the option price and the fair market
value of the stock on that day.


Option

Gives the buyer the right, but not the obligation, to buy or sell an asset at a set price on or before a
given date. Investors, not companies, issue options. Investors who purchase call options bet the stock will be
worth more than the price set by the option (the strike price), plus the price they paid for the option itself.
Buyers of put options bet the stock's price will go down below the price set by the option. An option is part of
a class of securities called derivatives, so named because these securities derive their value from the worth of
an underlying investment.


Option

See call option and put option


Option

A right to buy or sell specific securities or commodities at a stated
price (exercise or strike price) within a specified time. An option is a type of
derivative.


Option

Right to buy or sell a specified property at a specified amount at some time in the future.


Option-adjusted spread (OAS)

1) The spread over an issuer's spot rate curve, developed as a measure of
the yield spread that can be used to convert dollar differences between theoretical value and market price.
2) The cost of the implied call embedded in a MBS, defined as additional basis-yield spread. When added to the
base yield spread of an MBS without an operative call produces the option-adjusted spread.



 

 

 

 

 

 

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