THE WILLIAM MARGRABE GROUP, INC., CONSULTING, PRESENTS
THE DERIVATIVES 'ZINETM     November 2001


ÖDerivatives DictionaryTM (U-Z,#) Lasted updated: 08/03/01

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z #


- U -

U.K. Mips
Goldman, Sachs's variation on its Mips (q.v.) structure, tailored to maximize its advantages for the UK market in ways that the U.S. government wouldn't allow. Grand Metropolitan Delaware (limited partnership) issued 20 million "preferred securities" paying quarterly dividends at $25, lending the proceeds to Grand Metropolitan plc via a perpetual, subordinated loan with the seniority of preferred stock. (Source: Pratt, Tom. "Goldman modifies 'Mips' to land Grant Met deal." IDD, Nov. 7, 1994, p. 11.)
 
Up-and-in Option
An option that pays off nothing, unless the underlying price rises to an upper barrier. Cf. Up-and-out Option.
 
Up-and-out Option
An option that pays off as the corresponding ordinary option, unless the underlying price rises to an upper barrier. Cf. Up-and-in Option.
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- V -

value date
1. In the Eurodeposit and FX markets, the delivery date for funds traded. For the spot market it would be the spot date, ordinarily two business days after the transaction. For the forward market it would be a future delivery date. In the bond market (usually), the date on which the buyer begins to earn interest.
2. The date on which a bond buyer begins accruing interest on the bond. This may be the same as the settlement date (q.v.). (J.P. Morgan Glossary of terms for global sovereign bond markets.
vanna 
The sensitivity of vega (also known as kappa) to a change in the underlying price. Hence, (a)  the first derivative of vega (kappa) with respect to a change in the underlying, (b) the first derivative of delta with respect to a change in volatility, and (c) the second derivative of option value with respect to a changes in volatility and underlying. 
 
Variable Common Right
Viacom issued VCRs in connection with its takeover of Blockbuster. (Source: Falloon, William. "The $48 and $52 Questons." Risk 8 (April 1995), pp. 48 ff.)
 
Such a VCR is basically equivalent to a bearish Put Spread (long a Put struck at 52, short a Put struck at 48). The underlying price is the highest of four 30-day Arithmetic Averages for the price of Viacom Class B shares. The four 30-day averaging periods are distinct periods during the pricing period, May 23 - Sep. 28, 1995. To make manipulation more difficult, Viacom agreed not to buy its Class B shares during the pricing period. (Source: Bary, Andrew. "Drama at Viacom." Barron's, August 21, 1995, p. MW10.) 
 
4/28/00 variance swap
Definition: A contract that pays off an amount proportional to the difference between the realized variance over a specific period of time and the contractual variance. 
Example: If the realized, annualized standard deviation of the rate of return on the S&P 500 is 40% and the contractual variance is 9%, then the net payoff on the side receiving the realized variance on $100 million notional value for half a year is $3,500,000  = $100,000,000 x (0.42-0.09) x 0.5. 
Application: The variance swap is a potential tool for managing the sensitivity of an option book to volatility risk. 
 
VDAXâ
The DAXâ (q.v.) volatility index, which measures the Black-Scholes implied volatility of a basket of DAXâ options. The Deutsche Börse has published it since 7/97. (Source: http://www.exchange.de/fwb/indices.html#volind).
 
VIX
The ticker symbol for the Chicago Board Options Exchange Volatility Index.
Vol-Vol
The volatility of volatility. This presupposes that volatility is a random market risk factor, which is a lot more reasonable than the original assumption of the incredibly robust Black-Scholes model, that it is known and constant.
 
Volatility
The annualized standard deviation of the percentage change in a risk factor.
 
4/28/00 volatility convexity
Definition: The sensitivity of vega = dvalue/dvol  (a.k.a. kappa) as a function of volatility to a change in volatility, also known as "dvega/dvol", where dvega/dvol = d2value/dvol2. Volatility convexity is to vega (kappa) as gamma is to delta and convexity is to duration. Also known as "vomma" (q.v.). 
Application: The volatility convexity shows the deviation from a vega (kappa) neutral hedge when the volatility moves, just as the gamma or convexity shows the deviation from a delta or duration neutral hedge when the underlying price or yield moves. 
Source: Howard Savery, "Quantifying Volatility Convexity," Derivatives Strategy, 2/2000, pp. 54-55.
 
VOLAXâ Future
A futures contract based on the VDAXâ (q.v.) volatility index for the DAXâ stock index.
 
vomma 
The sensitivity of vega (also known as kappa) to a change in volatility. Hence, the second derivative of option value with respect to a change in volatility. 
 
vulnerable option
1. "[An option] on a defaultable instrument, subject also to their issuer's default risk. Ex: A put issued by a shaky bank on a corporate bond issued by a third party."
(Giovanni Barone-Adesi, private email correspondence, 9/10/98.)
2. An option "subject to the additional risk that the writer of the [option] might default."
(Robert J. Jarrow and Stuart Turnbull, Derivative Securities, Cincinnatti, South-Western, 1996, p. 575.)
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- W -

Warrant
An option that a corporation issues, with its own shares as the underlying asset. The crucial implication is that exercise of the option changes the number of claims against the corporation's assets. Thus, the pricing equations for Call (Put) Warrants and ordinary Call (Put) Options differ by the dilution (antidilution) effect. Empirically, warrants are options with a long time to expiration, which may be several or many years, or even decades or an infinite time. An option on asset A that party B issues and lists on an exchange. Party B might a corporation, a government, etc. Endowment Warrants (q.v.). Installment Warrants (q.v.).
 
4/28/00 weather derivatives
Definition: Derivative products whose values depend on risky weather variables, such as temperature, precipitation, or dollar damage from extreme weather.
Example:
Options on heating or cooling degree days, hurricane-based catastrophe bonds. 
Application:
An insurer or reinsurer who wanted to lay of f some risk in  the capital markets might issue a bond that repaid principal as a function of the loss rate for Florida East Gulf Coast property casualty rates. 
Pricing:
The pricing models are sensitive to assumptions, as usual. Historical results depend on the historical period. With global warming and El Nino, pricing isn't simple. 
Risk Management:
Catastrophe contracts are simple ways of laying off weather risk. 
 
WEBS
World Equity Benchmark Shares (q.v.).
 
When Issued Market
The market for forthcoming On-the-Run (q.v.) securities.
 
widget
A brand of listed security representing a claim against a share or basket of shares. A widget with an underlying index or basket is comparable to SPDRS (q.v.) or WEBS (q.v.) listed on the American Stock Exchange, but can have a different underlying portfolio. A widget with an underlying share is comparable to an ADR (q.v.). W.I. Carr Indosuez of Hong Kong created and listed widgets on the Luxembourg Stock Exchange. (Rachel Horsewood, "What's in a Name – Introducing the Widget," AsiaRisk, August 1997.) The main advantage is reducing the transaction cost for investing in a basket of shares.
 
World Equity Benchmark Shares
Each WEBS share is a claim on a portfolio of publicly traded shares in a particular country. That portfolio corresponds more or less to the MSCI portfolio for that country. All WEBS shares are listed on the American Stock Exchange and trade in dollars. Roughly speaking, each WEBS is to an MSCI Indexes of foreign stocks what Spiders (q.v.) are to the S&P 500 Index of U.S. stocks.
 
Foreign Fund, Inc. issues all WEBS shares. Any investor can create (redeem) a "Creation Unit" – i.e., a fixed number – of WEBS shares by depositing the appropriate underlying shares, plus cash expenses (WEBS shares) with an "Authorized Participant" in exchange for WEBS shares (underlying shares, less cash expenses). That makes a WEBS share like a share in an open end investment company (mutual fund).
 
WEBS are listed and trade exactly like shares in a closed end fund and other ordinary shares. A trader can sell them whenever the American Exchange is open, and can sell them short. However, it is possible to create or redeem shares continuously, as with mutual fund shares.
 
Any of the underlying shares may pay a dividend. The country that is the source of dividends for the underlying shares of WEBS may withhhold dividend income. Foreign Fund, Inc. retains dividend income temporarily, deducts expenses, and distributes the remainder at least each year.
 
The I.R.S. treats dividends and capital gains in a manner similar to the way it treats them for a mutual fund holding foreign shares.
 
(Funds Distributor, Inc. World Equity Benchmark Shares; Questions and Answsers. 1996.)
 
WEBS and a competitive family of international mutual funds, CountryBaskets hit the market in the first half of March, 1996. (Peter C. Du Boi, "Deutsche Bank, Morgan Stanley Offer Ways to Play Foreign Indexes on U.S. Exchanges," Barron's, 3/11/96.) Apparently, WEBS won the battle in the marketplace, and Deutsche Morgan Grenfell plans to dissolve the CountryBasket funds in March, 1997. (Maureen Nevin Duffy, "Deutsche MG Dumps Baskets," Financial Trader, 3/97.)
 
Worst-of-Two Option
A payoff which equals the minimum of two option payoffs, such as the minimum of a call on asset 1 and a put on asset two. Cf. Best-of-Two Option.
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- X -

Xerxes
  • The sensitivity of Convexity (q.v.) to a change in yield.
  • The "Convexity" of Modified Duration (q.v.).
  • The third derivative of a financial instrument's value with respect to its yield.
(Source: "Derivative Mortgage Securities Glossary," Dean Witter, Mortgage Backed Securities Department, Derivative Products Group, January 1995.)
 
Hedging so that Xerxes equals zero is one step beyond Convexity hedging, which is itself one step beyond matching durations of one's investment and (short) hedge portfolio. In theory, such a hedge would require relatively little rebalancing.
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- Y -

 
Yankee market
The U.S. foreign market (q.v.). The market in the U.S. for securities that non U.S . companies and governments issue. Example: Some shares of Nomura Securities trade in New York in the U.S. foreign market.
yard
Definition: One billion units of a currency.
Usage: "I’ve got a customer who wants to buy a yard of Mexican pesos. Price, please." The customer wants to buy a billion pesos.
YEELDS
Yield Enhanced Equity Linked Debt Securities (sm). Lehman Brothers' proprietary synthetic Equity Linked Debt Security (q.v.). Lehman issues the security, which pays a high coupon until maturity, then pays the value of the underlying common stock (not Lehman's) – up to a cap, such as 150% of the issue price. (Pratt, Tom. "Lehman's new 'Yeelds' trade on the Amex – or do they?" IDD, Aug. 22, 1994, p. 10.)
 
Yield Burning
Definition: The IRS's name for the dealer's crime of overcharging state and local governments and authorities for Treasury securities that they use in "advanced refunding" of old, high-yielding municipal bond issues with new, low-yielding ones.
Application: After interest rates decline, the tax-exempt entities issue new bonds with low coupons and use the proceeds to buy just enough Treasury bonds to cover the higher coupons on the old bonds. If the entity is able to use less than the full proceeds of the new bond issue to buy the Treasuries, thus, turning a profit, the IRS taxes this profit. If the bond dealer marks up the Treasuries above market to reduce the profit, this reduces the IRS take. "Michael Lissack, a former managing director of Smith Barney who identified the arcane and complex practice [of yield burning], originally filed the suit [against various bond dealers]. 
...
"As recently as 1996, the Department of Justice had not definitively decided that yield burning falls under the federal False Claims Act. 
...
"The government's had difficulty pursuing allegations of yield burning because the bond issuers are often unaware of the price gouging, as it can be done without affecting the issuer's savings on the refunding."
(Michael Brick, "Deutsche Bank Alex. Brown to Pay Over $15 Million to Settle Yield-Burning Suit," NYTimes.com/TheStreet.com, http://www.nytimes.com/yr/mo/day/news/financial/17alex.html, 11/17/99.) 
 Example: "For example, the lawsuit alleges that Alex. Brown secretly charged the state of Pennsylvania a markup of 4.5 basis points instead of 0.45 basis points in a $494 million bond offering in March 1994. The federal government was defrauded, according to the I.R.S., because it could have collected taxes on the profits if the lower amount was charged."
(Brick, op.cit.) 
Comment: While charging what the market will bear may come naturally to a competent dealer, it is against the law in many cases. Woe be to the dealer who charges an excessive markup in the OTC stock market or to municipal refunders in the market for Treasury securities.
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- Z -

Z-Bond
A CMO (q.v.) tranche (q.v.) that resembles a Zero Coupon Bond (q.v.) and ordinarily has neither the first, nor the last claim on the CMO’s underlying cash flows and asset value. Hence, the Z-Bond has significant Credit Risk (q.v.) and Market Risk (q.v.).  
 
ZENS
Zero-coupon exchangeable notes. Equity-linked notes that pay at maturity the greater of 100% of the appreciated value of original principal invested in stock or the original principal amount. Any time before maturity, the bondholders can exchange the bonds for 95% of the appreciated value of the corresponding stock. The bondholders pay for their embedded options by accepting a lower coupon plus quarterly dividend payments. ("RELIANT ISSUES $1b IN EQUITY-LINKED NOTES," Power Finance & Risk, 9/27/99.)  
 
ZEPO
A Zero Exercise Price Option (q.v.).
 
Zero Cost Collar
Aka "Costless Collar". A howlingly funny misnomer. "Hidden-cost Collar" would be more accurate. Think about it. A dealer won't do a transaction for you if it doesn't cost you something, because his revenue is your transaction cost. The purchase of a put option financed by the sale of a call. 
 
Zero Coupon Bond
A bond that pays no coupon, just par at maturity.
 
Zero Exercise Price Option
A European Call Option with strike price of zero. The owner will certainly exercise it, so it is equivalent to owning the underlying asset without receiving the cash flow (dividends or interest) through expiration. (Source: Australian Financial Review Dictionary of Investment Terms.)
 
Zero Gain Collar
A Costless Collar (q.v.) consisting of a short Call (q.v.) and long Put (q.v.), where the short Call's strike is ATM (q.v.). Hence, when owned in combination with a long position in the underlying, the Zero Gain Collar gives up all the underlying's upside gain, and the combined position can never show a profit.
4/28/00 zeta
Definition: The market value of an option, less its model value, using the ATM implied vol for the same expiration. 
Application: Zeta is a measure of the importance of using the volatility smile, rather than only the ATM volatility. 
Source: Howard Savery, "Quantifying Volatility Convexity," Derivatives Strategy, 2/2000, pp. 54-55.
 
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- # -

1M, 2M, 3M, 6M, 12M
Refers to a loan or swap with initial cash flows on spot date (ordinarily, two business days) and cash flows in the opposite direction one, two, three, six, or twelve months later. In the Eurodeposit and FX markets, the delivery date for funds traded. For the spot market it would be the spot date, ordinarily two business days after the transaction. For the forward market it would be a future delivery date. In the bond market (usually), the date on which the buyer begins to earn interest.
 
1978 International Banking Act
The U.S. law that instructs the Fed to delete any regulations that put U.S. banks at a disadvantage, relative to U.S. branches of foreign banks.
7/28/00 3-1 ARM
An adjustable-rate mortgage loan that has a fixed rate for three years, then adjusts to market conditions each year.  
50 at 7
Floor trader language meaning that the trader is offering 50 contracts at 7 (or 7/32nds, etc.) per contract. (Source: Charles di Francesca, as quoted by William D. Falloon in "God Doesn't Trade Bonds," Derivatives Quarterly, Fall 1999.) 
 
6 bid at 7
Floor trader language meaning that the trader is making a market, bidding 6 and offering at 7 or 6/32nds and 7/32nds, etc. (Source: Charles di Francesca, as quoted by William D. Falloon in "God Doesn't Trade Bonds," Derivatives Quarterly, Fall 1999.) 
 
6 for 50
Floor trader language meaning that the trader is bidding 6 (or 6/32nds, etc.) per contract on 50 contracts. (Source: Charles di Francesca, as quoted by William D. Falloon in "God Doesn't Trade Bonds," Derivatives Quarterly, Fall 1999.) 
 
88888
The number of the account that Nick Leeson of Barings allegedly opened in July 1992 and used to hide trading losses that accumulated to GBP 830 million by February, 1995.
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