Treasury

Termen en Begrippen Geld- en Kapitaalmarkt


Accrued Interest
The amount which the buyer of a fixed-income security must pay the seller of the security to compensate the seller for holding the security between the last coupon payment date and settlement date.
How this accrued interest is calculated varies from security to security. Depending on the type of bond, the accrued interest calculation uses one of several day count conventions for calculating the difference between two dates. The most common day count conventions are Actual/Actual ISMA or 30/360.

Amortisation
The reduction of principal or debt at regular intervals. This can be achieved via purchase or sinking fund.

Ask
A market maker's price to sell a security, currency or any financial instrument. Also known as offer, a two way price comprises the bid and ask. The difference between the two quotations is spread. >>see also Bid.

At Par
When a security is selling at a price that is equal to its face value.

Average Life
The weighted average time to receipt of principal payments (including scheduled paydowns and repayments).

Back Office
The department in a financial institution that processes deals and handles delivery, settlement and regulatory procedures.

Basis Point
One hundredth of one per cent (of yield) or 0.01.

BBA
British Bankers Association -
The leading trade association that represents the views of those involved in the banking and financial services industry within the U.K.

 

Bear (bearish)
Someone who expects the price of a given financial instrument or the overall value of a given financial marketplace to decline in value and thereby is a seller of the instrument(s). This individual is said to be bearish on the instrument / marketplace. Opposite of bull (bullish).

Benchmark
A bond whose terms set a standard for the market. The benchmarks usually have the greatest liquidity, the highest turnover and is usually the most frequently quoted.

Bid
A market maker's price to buy a security or instrument.

Bid offer spread
1.) There is a buying price (“offer” or “ask” price) and a selling price (“bid” price). The difference is known as the “bid-offer spread” or “the spread”.

2.) The difference between the buy (bid) and sell (ask) price. In the following currency example - 0.8423/28 the spread is 0.0005 or 5 PIP’s.

BIS
Bank for International Settlements. An association of central banks from the G10 countries. The BIS is concerned with safeguarding the stability of international financial markets and ensuring that all banks have sufficient capital to support their operational risk.
www.bis.org

Bonds
Bonds are long term debt instruments traded in a market. A legal contract in which an issuer promises to pay holders a specific rate of interest and redeem the contract at face value. Usually bonds are considered to be those debt securities with terms to maturity of more than one year. >>see also Bullet Bonds and Fixed Income.

Bonds are boring, which is basically a virtue
You loan money to a corporation or government agency and the borrower agrees to pay it back at a fixed rate of interest (sometimes known as the coupon) over a fixed period of time (the term or maturity).

Typically, the longer the maturity of a bond, the higher the coupon. For example, the spread between five-year Treasury notes and 30-year bonds is often a full percentage point or two.

Why? Because the longer the term of the bond, the greater the chance that inflation can erode the value of the investment. Also, a bond's interest is fixed, so if rates rise in general the long-term bond holder can't take advantage of that move. The greater the risk, the greater the reward.

Treasuries Similarly, the interest rate a bond pays is directly related to the riskiness of the bond. Treasury bonds, for example, are as close to a sure thing as you can get in the world of bonds, since Uncle Sam can always print more money to pay them off. (Even the feds aren't immune to the laws of economics, though. If the government ever did print lots of extra cash to pay off its bonds, that would cause inflation to soar and make the bonds worth less.)

Junk At the other end of the spectrum, however, are low-grade corporate bonds, known as high-yield or junk bonds, which have coupons that are several percentage points higher because of the risk that the corporations that issue them might stumble.


How Bonds work
Although bond prices tend to fluctuate less than stock prices, they aren't risk-free. If interest rates rise, bond prices will fall. Why? As new bonds paying higher rates become available on the market, the price of older bonds falls proportionately so that the interest they pay is the same as that of a comparable new bond.

That's worth remembering in the current environment, in which interest rates in the United States are rising from their lowest levels in decades.

Here's a simplified example of how it works: Let's say that you paid $1,000 for a 30-year bond that yielded 7 percent interest, or $70 a year. A year later, the rate for a comparable new bond falls to 5 percent, which means it yields just $50 a year.

Your old bond is now going to be worth more, because investors are willing to pay more to get a $70-a-year income stream than they will to get $50 a year.

Since the interest rate of your bond is now 40 percent higher than the bonds put on the market when interest rates fell, its new price will be about $1,400, or 40 percent more than you paid for it.

And its yield? Exactly 5 percent, since $70 a year is 5 percent of the new price of your bond, $1,400.

(Note: the equation is not quite so simple, since your bond now has only 29 years left until maturity and will be matched to other 29-year bonds, not new 30-year issues.)

Conversely, if rates jump from 7 percent to 9 percent, meaning new bonds are paying $90 a year interest, the value of your bond will fall to about $778 -- because your bond's $70 annual interest is 9 percent of $778.

Eventually, of course, when the bond matures, it will be worth $1,000 again. However, its value will move up and down in the meantime, depending on what interest rates do. The longer the time to maturity of a bond, the more dramatically its price moves in response to rate changes. That is, long-term bonds get hit harder than short-term bonds when rates climb, and gain the most in value when rates fall.

As a result, bond buyers tend to divide into two classes: investors (or speculators), who hope to make money thanks to a decline in interest rates that sends bond prices higher; and savers, who buy bonds and hold them to maturity as a way to earn a guaranteed rate of return.

Bullet Bond
Also known as a straight or fixed bond because it has no special features. It pays a fixed rate of interest and is redeemed in full on maturity. Interest is usually paid annually.

Bull (bullish)
Someone who expects the price of a given financial instrument or the overall value of a given financial marketplace to rise in value and thereby is a purchaser of the instrument(s). This individual is said to be bullish on the instrument / marketplace. Opposite of bear (bearish).

Bunds
German Federal government bonds issued with maturities of up to 30 years.

Cap
1.) An interest rate cap is a derivative in which the buyer received money at the end of each period in which an interest rate exceeded the agreed strike price. An example of a cap would be an agreement to receive money for each month the Euribor rate exceeds 2.5%.

The interest rate cap can be analyzed as a series of European call options or caplets which exists for each period the cap agreement is in existence.

In formulas a caplet payoff on a rate L struck at K is



where N is the notional value exchanged and  is the day count fraction corresponding to the period to which L applies. For example suppose you own a caplet on the six month Euribor rate with an expiry of 1st February 2005 struck at 2.5% with a notional of 1 million EUR. Then if the Euribor rate sets at 3% on 1st February you receive 1m*0.5*max(0.03-0.025,0) = EUR 2500. Customarily the payment is made at the end of the rate period, in this case on 1st August.

2.) An interest-rate cap is an OTC derivative that protects the holder from rises in short-term interest rates by making a payment to the holder when an underlying interest rate (the "index" or "reference" interest rate) exceeds a specified strike rate (the "cap rate"). Caps are purchased for a premium and typically have expirations between 1 and 7 years. They may make payments to the holder on a monthly, quarterly or semi annual basis, with the period generally set equal to the maturity of the index interest rate.

Each period, the payment is determined by comparing the current level of the index interest rate with the cap rate. If the index rate exceeds the cap rate, the payment is based upon the difference between the two rates, the length of the period, and the contract's notional amount. Otherwise, no payment is made for that period. If a payment is due on a USD Libor cap, it is calculated as

 

For example, Exhibit 1 illustrates a 3-year, USD 200MM notional cap with 6-month Libor as its index rate, struck at 7.5%. The exhibit shows what the cap's payments would be under a hypothetical interest rate scenario.

Example: Cap Payments
Exhibit 1

Payments made under a hypothetical interest rate scenario by a 3-year USD 200MM notional cap linked to 6-month USD Libor with strike rate of 7.5%. Values for the index rate are 6.25%, 7.75%, 7.00%, 8.50%, 8.00%, and 6.25%. These result in payments of USD 0MM, USD .25MM, USD 0MM, USD 1MM, USD .5MM, and USD 0MM.

Caps are frequently purchased by issuers of floating rate debt who wish to protect themselves from the increased financing costs that would result from a rise in interest rates. To reduce the up-front cost of such protection, a long cap may be combined with a short floor to form a collar.

A cap can be thought of as a series of interest rate options called caplets. Caps are priced by valuing the individual caplets and summing the values. The Black '76 option pricing formula is the market convention for quoting implied volatilities for caps.

Caps are usually quoted with an up-front premium. If they are quoted with an implied volatility, it is with a flat implied volatility across all caplets.

Cashloan, starting
A cash loan is a loan that commences immediately. A spot loan is a loan that commences spot. A forward loan is one that commences on some date later than spot. For example, in the Eurodollar markets a three-month spot loan commences in two business days (spot) and matures three months after that. A 27 forward loan commences two months from the spot date and lasts for five months. With either type of loan, interest can be paid periodically or it can be accumulated and paid at maturity.

CEDEL
Centrale de Livraison de Valeurs Mobilièrs , provides clearance/settlement and borrowing/lending of securities and funds through a computerized book-entry system. CEDEL is now part of Deutsche Boerse. www.cedelinternational.com

Clean Price
Present value of cash flow of a bond excluding accrued interest, the quoted price of a bond. >>see also Dirty Price.

Clearing House
A clearing house is the administrative centre of the market through which all transactions are cleared. In addition to administering trades, the clearing house guarantees the performance of contracts. It becomes the counterparty to both the buyer and seller of a contract when a trade has been matched, treaty reducing counterparty risk.

Clearing System
A system that facilitates the transfer of ownership for securities and arranges custody. >>See also CEDEL and Euroclear.

Collateral
Assets used as a form of security for bond issuances. In case of default by the borrowers, the lenders (bondholders) have the legal right to claim those assets and sell them off to repay the loan.

Commercial Paper
1.) Commercial paper is an unsecured promissory note issued for a specified amount. This security may carry a maturity of up to 270 days. However, the bulk of the issues mature within 30 days or shorter. Among the entities that issue commercial paper are industrial and manufacturing firms, most especially those with good credit ratings. While these firms can readily turn to banks to finance their short-term capital needs, they sometimes choose to sell paper, an alternative and cheaper source of funds. These firms together with finance companies, bank holding companies, municipalities, and municipal authorities have become the major issuers of commercial paper. Through the years, foreign entities such as sovereigns and corporations have joined this list as well. Typically, issuers cannot raise sufficient funds quick enough to pay back maturing paper. To get around this problem, they normally roll over the paper. They sell new paper to pay off the others.

The rates offered on commercial paper depend on several factors: the credit rating of the issuer, the paper's maturity, the total amount of money sought by the issuer, and the general level of interest rates. To provide the potential borrowers an idea of how much credit risk is involved with each issue, rating agencies such as Standard & Poor's and Moody's rate almost all paper. Top credit ratings, however, do not preclude the possibility of default. Hence, to compensate investors for this risk, yields on commercial paper are generally higher than on government securities of similar maturities and most issuers today back their paper with lines of credit from banks.

2.) Commercial paper is a short-term unsecured promissory note issued by corporations and foreign governments. For many large, creditworthy issuers, commercial paper is a low-cost alternative to bank loans. Issuers are able to efficiently raise large amounts of funds quickly and without expensive Securities and Exchange Commission (SEC) registration by selling paper, either directly or through independent dealers, to a large and varied pool of institutional buyers. Investors in commercial paper earn competitive, market-determined yields in notes whose maturity and amounts can be tailored to their specific needs.

Because of the advantages of commercial paper for both investors and issuers, commercial paper has become one of America's most important debt markets.

Commercial paper is typically a discount security: the investor purchases notes at less than face value and receives the face value at maturity. The difference between the purchase price and the face value, called the discount, is the interest received on the investment. Occasionally, investors request that paper be issued as an interest-bearing note. The investor pays the face value and, at maturity, receives the face value and accrued interest. All commercial paper interest rates are quoted on a discount basis.

Common Code
Cedel and Euroclear clearing security code. Nine digit code with XS prefix.

Coupon/ Coupon Rate
1.) Coupon is the interest paid on a bond expressed as a percentage of the face value. If a bond carries a fixed coupon, the interest is paid on an annual or semi-annual basis. The term also describes the detachable certificate entitling the bearer to payment of the interest. >> see also Bullet Bond and Bearer Forms.

2.) The coupon rate is the annual rate of interest on the bond's face value that the issuer agrees to pay the holder until maturity.

The term "coupon" comes from the manner by which bonds were redeemed historically. Attached to older bond certificates were a series of coupons, one for each coupon payment date stipulated in the bond's indenture. At each coupon payment date, the bondholder would clip the appropriate coupon, and present it for payment. Such issues were known as "coupon" or "bearer" bonds. Today, most issuers no longer issue bearer bonds. Instead, almost all bonds are now offered in book-entry registered form.

Most U.S. bonds pay interest on a semi-annual basis. For example, the Treasury 8 1/8% due 5/15/2021 will pay coupons of 4.0625% of face value on 5/15 and 11/15 of each year until maturity. Most non-US domestic bond issues pay annual coupons. Exceptions are Japanese Government Bonds, UK Gilts, Canadian bonds, and Australian bonds, which pay coupons semi-annually.

In addition to bonds, many money market instruments pay coupons. But unlike bonds, they typically pay a single coupon which occurs at maturity. Short dated Certificates of Deposit (CD's) are an example of these one-coupon securities.

Coupon Stripping
Detaching the coupons from a bond and trading the principal repayment and coupon amounts separately, thus forming zero coupon bonds. >>see also Zero Coupon Bonds.

Credit Rating
Credit ratings measure a borrower's creditworthiness and provide an international framework for comparing the credit quality of issuers and rated debt securities. Rating agencies allocate three kinds of rating: issuer credit rating, long-term debt and short-term debt. The top credit rating issued by the main agencies – Standard and Poor's, Moody's and Fitch IBCA is AAA or Aaa. This is reserved for a few sovereign and corporate issuers. Rating are divided into two broad groups: investment grade and speculative grade.   see
www.moodys.com;
http://www2.standardandpoors.com/NASApp/cs/ContentServer?pagename=sp/Page/HomePg;
www.fitchibca.com

D&P

Fitch

Moody's

S&P

Summary Description

Investment Grade : High Creditworthiness

AAA

AA+
AA
AA-

A+
A
A-

BBB+
BBB
BBB-

AAA

AA+
AA
AA-

A+
A
A-

BBB+
BBB
BBB-

Aaa

Aa1
Aa2
Aa3

A1
A2
A3

Baa1
Baa2
Baa3

AAA

AA+
AA
AA-

A+
A
A-

BBB+
BBB
BBB-

 

 

Gilt edged, prime, maximum safety, lowest risk


High-grade, high credit quality



Upper-Medium grade



Lower Medium Grade

 

Speculative – Lower Creditworthiness

BB+
BB
BB-

B+
B
B-

BB+
BB
BB-

B+
B
B-

Ba1
Ba2
Ba3

B1
B2
B3

BB+
BB
BB-


B


Low grade: speculative



Highly speculative

 

Predominately speculative, Substantial Risk or in Default


CCC





DD

CCC+
CCC

CC
C


DDD
DD
D


Caa

Ca
C

CCC+
CCC

CC
C
C1

D


Substantial risk, in poor standing

May be in default, very speculative
Extremely speculative
Income bonds, no interest being paid

Default

Credit Watch
A credit rating agency announces that it is putting a company on credit watch, meaning that it expects shortly to issue a lower or higher credit rating. >> See also Credit Rating

Credit Risk
Credit risk is the risk that an issuer of a debt security or a borrower may default on its obligations. In a slightly different context, it is also defined as the risk that payment may not be made on the sale of a negotiable instrument (i.e. counter-party risk).

Current Maturity
The time remaining to maturity, an important factor in bond valuation.
>>see also Maturity.

Current Yield
1.) A measure of the return a bondholder calculated as a ration of the coupon to the market price. It is simply the annual coupon rate divided by the clean price of the bond.

2.) The current yield of a bond is the annual coupon divided by the market price of the bond. It is an inadequate measure of yield because it takes into account neither the entire amount nor the timing of the cash flows of a bond

Daycount Conventions
Every bond market has its own system of determining the number of days in year and even the number of days between two coupon dates. These different methods are referred as daycount conventions and are important when calculating accrued interest and present value (when the next coupon is less than a full coupon period away).

Day Count Basis
In the capital markets, there are a number of ways that days between dates are computed for interest rate calculations. Many of these conventions were developed before the wide spread introduction of computers. The historical rationale for many of these calculations was to simplify the math involved in performing normally complex financial calculations. And as in most industries with a long history, many of these conventions have stayed with us despite considerable advances in computers and computational methods.

The day count basis indicates the manner by which the days in a month and the days in a year are to be counted. The notation utilized to indicate the day count basis is (days in month)/(days in year).

For example, 30/360 assumes that each of the twelve months in a year consists of exactly 30 days. On the other hand, Actual/Actual considers the actual number of days in a month and the actual number of days in a year. Other types of day count basis are Actual/360, Actual/365, and 30/360 European. The 30/360 European day count basis differs from 30/360 basis in the algorithm used to handle the end of the month.

The five basic day count basis are the following:

  1. Actual/360
  2. Actual/365
  3. Actual/365 ISDA
  4. Actual/Actual
  5. Actual/Actual ISMA/SIA
  6. 30/360 ISDA
  7. 30/360 European

Each of these are explained in their own section.

1. Actual/360
This calculates the actual number of days between two dates and assumes the year has 360 days. Many money market calculations with less than a year to maturity use this day count basis.

For example, a $1MM six month CD issued on 4/15/92 and maturing on 10/15/92, with an 8% coupon would pay an interest payment of:

Actual days between 4/15/92 to 10/15/92 = 183 days
Interest = 0.08 x 1,000,000 x (183/360) = $40,666.67

2. Actual/365
This calculates the actual number of days between two dates and assumes the year has 365 days.

Using an Actual/365 day count basis, a $1MM six month CD issued on 4/15/92 and maturing on 10/15/92, with an 8% coupon would pay an interest payment of:

Actual days between 4/15/92 to 10/15/92 = 183 days
Interest = 0.08 x 1,000,000 x (183/365) = $40,109.59

3. Actual/365 ISDA
The DayCount fraction (the proportion of a year) is calculated using the following formula:

Result = Days1 /366 + Days2 / 365

Days1 = Actual number of days in period that fall in a leap year.
Days2 = Actual number of days in period that fall in a normal year.

This contrasts the Actual/365 DayCount fraction which is determined by dividing the actual number of days in the period (regardless if there is a leap year) by 365.


4. Actual/Actual
This day count basis calculates the actual number of days between two dates and assumes the year has either 365 or 366 days depending on whether the year is a leap year.
More accurately, if the range of the date calculation includes February 29 (the leap day), the divisor is 366, otherwise the divisor is 365.

Again using our CD example, the interest payment would be:

Actual days between 4/15/92 to 10/15/92 = 183 days
Interest = 0.08 x 1,000,000 x (183/365) = $40,109.59

Notice that even though 1992 is a leap year, the denominator used for this calculation was 365 because February 29, 1992 does not fall into the date range of the calculation. If the issue date was before February 29, the divisor would have been 366 instead.

5. Actual/Actual ISMA/ SIA
1). Each month is treated normally, and the year is the number of days in the current coupon period multiplied by the number of coupons in a year.
E.g. if the coupon is payable 1st February and August then on April 1, 2005 the days in the year is 362 i.e. 181 (the number of days between 1 February and 1 August 2005) x 2 (semi-annual)

2). The number of days in a period is equal to the actual number of days, but the number of days in a year is the actual number of days in the relevant coupon period multiplied by the coupon frequency.
E.g., if a bond has semi-annual coupon payments and the current coupon period is 181 days, the assumed number of days in a year will be 362.

6. 30/360 ISDA
The number of days in every month is set to 30 except for February where it is the actual number of days. If the start date of the period is the 31st of a month, the start date is set to the 30th while if the start date is the 30th of a month and the end date is the 31st, the end date is set to the 30th. The number of days in a year is 360 (12 months x 30 days per month).

The formula for the 30/360 day calculation is as follows:

Assume Date 1 is of the form M1/D1/Y1 and Date 2 is of the form M2/D2/Y2. Let Date 2 be later than Date 1.

Then:

If D1 = 31, change D1 to 30
If D2 = 31 and D1 = 30, change D2 to 30
Days between dates = (Y2-Y1) x 360 + (M2-M1) x 30 + (D2-D1)

7. 30/360 European
The 30/360 day count basis is different outside of the United States. They further simplified this calculation.
The formula for the 30/360 European day calculation follows:

Assume Date 1 is of the form M1/D1/Y1 and Date 2 is of the form M2/D2/Y2. Let Date 2 be later than Date 1.

Then:

If D1 = 31, change D1 to 30
If D2 = 31, change D2 to 30
Days between dates = (Y2-Y1) x 360 + (M2-M1) x 30 + (D2-D1)

Default
Failure to meet an obligation such as payment of interest or principal. Technically the borrower does not default. The initiative comes from the lender who declares the borrower in default.

Deflation
1.) A decline in general price levels, often caused by a reduction in the supply of money or credit.
2.) A persistent decrease in the level of consumer prices or a persistent increase in the purchasing power of money because of a reduction in available currency and credit.

Deflation can also be brought about by direct contractions in spending, either in the form of a reduction in government spending, personal spending or investment spending. Deflation has often had the side effect of increasing unemployment in an economy, since the process often leads to a lower level of demand in the economy.
 
Declining prices, if they persist, generally create a vicious spiral of negatives such as falling profits, closing factories, shrinking employment and incomes, and increasing defaults on loans by companies and individuals. To counter deflation, the Federal Reserve (or ECB) can use monetary policy to increase the money supply and deliberately induce rising prices, causing inflation. Rising prices provide an essential lubricant for any sustained recovery because businesses increase profits and take some of the depressive pressures off wages and debtors of every kind.

Derivative
A financial instrument whose characteristics and value depend upon the characteristics and value of an underlier, typically a commodity, bond, equity or currency. Examples of derivatives include futures and options. Advanced investors sometimes purchase or sell derivatives to manage the risk associated with the underlying security, to protect against fluctuations in value, or - not Bouwfonds! -to profit from periods of inactivity or decline. These techniques can be quite complicated and quite risky.

Dirty Price
Present value of the cash flow of a bond including accrued interest. Also known as gross price. >> See also Clean Price.

Discount Basis
Discount basis refers to the practice of quoting a security in terms of a discount from its par value. For example, a discount of 5% means 100% - 5% = 95%. In this case 95 would be the quoted dollar price of this discount security. Discount securities are non-interest-bearing money market instruments that are issued and traded on a discount basis. They are quoted using either an Actual/360 or an Actual/365 day count convention.

Discount Rate
Interest Rate at which a central bank will discount government paper or lend money against government paper collateral.

Downgrade
The reduction of credit rating for a borrowing institution or its debt instruments. Opposite to Upgrade. >> See also Credit Rating and Upgrade.

Duration
1.) A measure of the average maturity of a bond’s cash flows – the coupon payments and principal. Quoted in years, duration indicates the average exposure to market risk. It allows bonds with different coupons and maturities to be compared. Also known as Macauley Duration. >> See also Coupon.

2.) The common objective behind the different definitions of duration is to measure the price sensitivity (and, therefore market risk) of a fixed-income security to changes in its yield. In general, one can distinguish between the following duration or duration-related concepts:

  1. Macaulay's duration
  2. Modified duration
  3. Dollar duration, dPdY, or "risk"
  4. Price value of an 01
  5. Yield value of a 32nd

Macaulay's Duration
If a bond is viewed as a series of cash flows, this concept measures sensitivity (in years) as the present value-weighted average of the cash flows of the bond. As such, it is a good measure for ranking different bonds as to their price sensitivity, and for constructing portfolios which will fully decease a future series of cash flows (see Immunization).

Modified Duration
The exact measurement of the price sensitivity of a fixed-income security to a very small change in yield, expressed as a % change in price to a 1% change in yield. Since the price/yield relationship is not linear, the calculation is only exact for very small changes around the initial yield.

Dollar Duration, dPdY, or Risk
Essentially a tool for calculating the hedge ratio between different securities, this measurement of duration is defined to be the product of the modified duration of the bond and its full price (dollar price plus accrued interest).

Price value of an 01, Yield value of a 32nd
The concept of duration is frequently used by market participants to "immunize" portfolios (see Immunization). Since many institutional investors have liabilities that must be met on schedule with the proceeds of a bond portfolio, immunization attempts to ensure that regardless of what happens to interest rate levels between the present and the due date of one's liabilities, enough cash will be available to meet them.

Duration and convexity are risk estimation tools which allow the manager to structure the portfolio so as to offset the two counterbalancing risks in the fixed-income world: market risk, whereby prices and yields move inversely in proportion to "long ness"; and reinvestment risk, whereby as prices rally securities sold and new cash flows are reinvested at lower yield levels, and conversely.

Duration (Macaulay's)
If a bond is viewed as a series of cash flows, this concept of duration measures price sensitivity (in years) as the present value-weighted average of the cash flows of the bond, according to the formula:

Derma = ( Formula to be represented at a later date)

where

N = total number of compounding periods to maturity
P$ = dollar price of the bond

As such, it is a good measure for ranking different bonds as to their price sensitivity, and for constructing portfolios which will fully decease a future series of cash flows (see Immunization).

Duration (Modified)
The exact measurement of the price sensitivity of a fixed-income security to a very small change in yield, expressed as a % change in price to a 1% change in yield. Since the price/yield relationship is not linear, the calculation is only exact for very small changes around the initial yield.

The main difference between modified duration and dollar duration, dPdY or risk lies in that modified duration is expressed as a percentage, whereas the modified duration is expressed in terms of actual dollar price values.

Its relationship to Macaulay's duration (DurMac) can be stated as follows:

DurMod=(-DurMac)/(1+(Yield/2))

Early Redemption
The repurchase of a bond before maturity by the issuer.

Effective Margin
The coupon rate for a floating-rate security periodically changes based on a predetermined index such as the prime rate or the three-month Treasury bill. Given this uncertainty, the true value of the cash flows cannot be determined, and hence, yield to maturity cannot be calculated.

A security's effective margin measures the potential return for a floating-rate security. It measures the average spread or margin over the underlying index that an investor can earn over the life of the security.

While this measure has its merits, it nevertheless overlooks two important aspects that may affect the potential return from investing in a floating-rate security. First, effective margin assumes that the index will remain constant. Second, this measure does not take into account the cap or floor on the security, if any exists.

EMTN
Euro Medium-Term Notes. >> see also MTN.

EONIA (euro overnight index average)
EONIA is a measure of the effective interest rate prevailing in the euro interbank overnight market. It is computed as a weighted average of the interest rates on unsecured overnight contracts on deposits denominated in euro, as reported by a panel of contributing banks.

EURIBOR
1.) The EURIBOR (or euro interbank offered rate) is the rate at which a prime bank is willing to lend funds in euro to another prime bank. The EURIBOR is computed daily for interbank deposits with a maturity of one week and one to 12 months as the average of the daily offer rates of a representative panel of prime banks, rounded to three decimal places.

1A.) EURIBOR (Bloomberg Definition). The euro area inter-bank offered rate for the euro, sponsored by the EBF and the ACI. It is the onshore (domestic) price source covering dealings from 57 prime banks – 47 from the 11 ‘in’ countries, four from the EU countries not participating in the euro area, ‘pre-ins’, and six large international banks from non-EU countries but which are active in the euro area.

There is also a ‘London Euribor’, which Bouwfonds not uses:

2.) Euro-Denominated Interbank Offered Rate. The Europe -wide version of the London interbank offered rates that serves as a benchmark short-term interest rate for European money markets, rounded to five decimal places.

2A.) Euro LIBOR (Bloomberg Definition). The London inter-bank offered rate for the euro is sponsored by the BBA. While the UK does not participate in EMU, this will be an offshore (xeno) price source. Euro LIBOR will be calculated at 11:00am London time using the rates from 16 major banks active in the euro market. It will replace the BBA’s ECU Libor form January 1, 1999.

Euroclear
International clearing organisation in Brussels, founded in 1968 that provides clearance/settlement and borrowing/lending of securities and funds through computerised book-entry system. Euroclear is managed by Morgan Guaranty Trust company.
www.euroclear.com >> see also Cedel.

Face Value/Par Amount
1.) Apparent worth. The nominal value that appears on the face value of the document recording an entitlement, generally a certificate of bond. For debt instruments, the amount to be repaid at maturity. Known also as par value or nominal value.

2.) The face amount, or face value, of a security is the amount the issuer pays the holder at maturity. Different security types have different face value denominations. Most bonds are quoted in multiples of $1,000 face value. For example, 50 bonds would be equivalent to holding $50,000 face value of a bond.

First Coupon Date
The first coupon date is the date on which the first cash coupon payment will be made. Since most bond issues in the US pay semi-annually, normally their first coupons are paid exactly 6 months after they are issued. Such issues are said to have normal first coupons.

Sometimes, however, the amount of the first coupon is not equal to 1/2 the issue's coupon rate, because for some reason the bonds were issued before or after the date 6 months prior to the first coupon date. Such issues are said to have "short" (first coupon < normal coupon) or "long" (first coupon > normal coupon) first coupon periods.

For example, the U.S. Treasury 7 3/4% due 3/31/96 were originally 5-year notes with a short first coupon. The Federal Reserve would have normally issued the note on 3/31/91. But, since 3/31/91 was a Sunday, the actual issue date was 4/1/91. Therefore, the first coupon was less than the normal 3.875% since the first coupon period was one day less than a normal coupon period.

In order to calculate the odd first coupon correctly, both the issue date and the first coupon date must be specified (the first coupon date may be deduced). However, if the settlement date (or valuation date) is beyond the first coupon date, both the issue date and the first coupon date become irrelevant for analytical purposes, since all remaining coupons will be normal.

Fixed/Floating Bonds
Bonds that pay both fixed- and floating-rating interest at different periods during their life.

Fixed Income
The generic term for debt instruments, such as bonds and loans, which pay interest in the form of a coupon. The rate of interest is often fixed, hence the term fixed income.

Floating Rate Bond
A bond with a variable interest rate as opposed to fixed.

Floating Rate Note
>> See FRN.

Floors
1.) In FRN’s the coupon cannot fall below a specified minimum rate.

2.) Interest rate floors compare to interest rate caps in the same way that puts compare to calls. They are OTC derivatives that protect the holder from declines in short-term interest rates by making a payment to the holder when an underlying interest rate (the "index" or "reference" interest rate) falls below a specified strike rate (the "floor rate"). Floors are purchased for a premium and typically have maturities between 1 and 7 years. They may make payments to the holder on a monthly, quarterly or semi annual basis, with the period generally set equal to the maturity of the index interest rate.

Each period, the payment is determined by comparing the current level of the index interest rate with the floor rate. If the index rate is below the floor rate, the payment is based upon the difference between the two rates, the length of the period, and the contract's notional amount. Otherwise, no payment is made for that period. In US markets, if a payment is due on a USD Libor floor, it is calculated as

 

example, Exhibit 1 illustrates for a 3-year, USD 200MM notional floor with 6-month Libor as its index rate, struck at 5.5%. The exhibit shows what the floor's payments would be under a hypothetical interest rate scenario.

Example: Floor Payments

Exhibit 1

Payments made under a hypothetical interest rate scenario by a 3-year USD 200MM notional floor linked to 6-month USD Libor with strike rate of 5.5%. Values for the index rate are 6.75%, 5.25%, 6.25%, 4.50%, 5.00%, 6.75%. These result in payments of USD 0MM, USD .25MM, USD 0MM, USD 1MM, USD .5MM, and USD 0MM.

Floors are used by purchasers of floating rate debt who wish to protect themselves from the loss of income that would result from a decline in interest rates. End users may also short a floor against a cap to construct an inexpensive or costless collar.

Just as a cap can be thought of as a series of caplets, a floor can be thought of as a series of interest rate options called floorlets. Floors are priced by valuing the individual floorlets and summing the values. The Black ’76 option pricing formula is the market convention for quoting implied volatilities for floors.

Floors are usually quoted with an up-front premium. If they are quoted with an implied volatility, it is typically with a flat implied volatility across all floorlets.

Force Majeure
A force majeure clause is written into contracts to allow contracting parties to be freed from their obligations in the event of an occurrence such as earthquake, hurricane or a serious labour dispute, which is outside their control.

Forward Points
The PIPS added to or subtracted from the current exchange rate to calculate a forward price. If points are added, then the forward is priced at a premium. If points subtracted, then the forward is priced at a discount.

Forward
Forward refers to delivery beyond two days and usually quoted one year out in increments of 30 days (i.e. 1 month, 2 month, etc.).

FRA
A forward rate agreement (FRA) is a cash-settled forward contract on a short-term loan. For example, a 2-5 FRA is a 2-month forward on a 3-month loan. The interest rate on the loan, called the FRA rate, is set when the contract is first entered into.

Because FRA’s are cash settled, no loan is ever actually extended. Instead, contracts settle with a single cash payment made on the first day of the underlying loan, which is called the settlement date. The formula for the payment is

where

notional is the notional amount of the loan,

the reference rate is typically a Libor rate or Euribor,

days is the number of days the loan is for, and

basis is the day count basis applicable to money market transactions in the currency of the loan—usually either 360 or 365 days.

Consider an example. A 410 USD 20MM FRA is transacted with an FRA rate of 3.4%. The four month forward period starts on the spot date and extends to the settlement date. Typically, the spot date is two business days after the trade date. Two business days before the settlement date is the fixing date. This is the date on which the value of the reference rate is determined. For this FRA, the reference rate is 6-month USD Libor. Suppose 6-month Libor is 3.7% on the fixing date. The USD money market uses a 360 day basis. On the settlement date, the borrower (the party that is long the FRA) receives from the lender (the party that is short the FRA) the amount

[2]

Suppose for this example that there are 186 days in the loan period. In that case, the payment would be USD 30,418.

Although they are traded OTC, FRA’s have fairly standardized contract provisions.

FRN
Floating rate note. A medium-term debt instrument that pays regular coupons but those coupons are not fixed. Instead the coupon rates are adjusted periodically in line with short-term interest rates such as LIBOR or EURIBOR. >> See also Coupon and Euribor.

Going short – going long
When you buy e.g. a currency, you are said to be “long” in that currency. Long positions are entered into at the offer price. Thus if you are buying one EUR/USD lot quoted at 1.1847/52, then you will buy 1,000,000 EUR at 1.1852 USD.

When you sell a currency, you are said to be “short” in that currency. Short positions are entered into at the bid price, which is 1.1847 USD in our example.

Because of the symmetry of currency transactions, you are always simultaneously long in one currency and short in another. For example if you exchange 1,000,000 EUR for USD you are short in euro’s and long in US dollars.

Gross Price
>> See Dirty Price.

Hedging
A strategy used to offset market risk, whereby one position protects another. Traders and investors in e.g. foreign exchange hedge to protect their investment or portfolio against currency price fluctuations.

 

IAS39
IAS means International Accounting Standard.
The key requirements of IAS39 are as follows:

  • All financial assets and liabilities (including derivatives) must be recognised in the Statement of Financial Position. e.g. interest rate swaps & options, foreign exchange swaps, futures and forward rate agreements.
  • Derivatives must be accounted for at fair value at each reporting date with changes in fair value taken to the Statement of Financial Performance unless hedge accounting is achieved.
  • If the financial instrument qualifies for hedge accounting, then changes in the instrument value are recognised in a manner consistent with the recognition of gains and losses on the hedged item.

Inflation
1.) Inflation is an increase in the price of a basket of goods and services that is representative of the economy as a whole.

2.) A persistent increase in the level of prices (including consumer products and wages). Traders closely watch inflation because the primary way to fight inflation is to raise interest rates which, in turn, supports the currency of the affected country.

3.) Inflation is defined as a sustained increase in the general level of prices for goods and services. It is measured as an annual percentage increase. As inflation rises, every dollar you own buys a smaller percentage of a good or service.

The value of a dollar does not stay constant when there is inflation. The value of a dollar is observed in terms of purchasing power, which is the real, tangible goods that money can buy. When inflation goes up, there is a decline in the purchasing power of money. For example, if the inflation rate is 2% annually, then theoretically a $1 pack of gum will cost $1.02 in a year. After inflation, your dollar can't buy the same goods it could beforehand.

Inflation is a sign that an economy is growing. The lack of inflation may be an indication that the economy is weakening.

In some situations, little inflation (or even deflation) can be just as bad as high inflation.

 

Inflation, Causes of
Economists wake up in the morning hoping for a chance to debate the causes of inflation. There is no one cause that's universally agreed upon, but at least two theories are generally accepted:

Demand-Pull Inflation - This theory can be summarized as "too much money chasing too few goods." In other words, if demand is growing faster than supply, then prices will increase. This usually occurs in growing economies.

Cost-Push Inflation - When companies’ costs go up, they need to increase prices to maintain their profit margins. Increased costs can include things such as wages, taxes, or increased costs of imports.

 

Inflation, Evil of
Let's say the market takes a 30 percent dive over the next year. Every time you check your stocks or stock mutual funds, you're going to feel the pain. Likewise, if interest rates rise, your bonds won't let you forget it.

Nowhere on your bank or brokerage statement, however, are you likely to get a report on what inflation is doing to the real value of your holdings.

If your money is stowed in a "safe" investment, like a low-yielding savings or money market account, you'll never see how inflation is gobbling up virtually all of your return. Here are some points to bear in mind:

  • At an average annual growth rate of 10.4 percent a year, stocks will double your money about every seven years. Factor in inflation, which has historically run at about 3.1 percent annually, and it will take more than 10 years to double your actual buying power.
  • Likewise, bonds, which have historically grown at 5.4 percent annually, will double your money every 12 1/2 years. After inflation, however, it will take 26 years.
  • If your money is in cash, you'll have to wait 23 years for the nominal value of your account to double, assuming the cash earns the historical 3.1 percent annual return. But even your grandchildren won't see the real value of your money double.

 

That's why, whenever you add up your gains or losses for a given period of time, you have to add in the effects of inflation to understand how much further ahead or behind you really are.

 

Inflation, Problems caused by

  • Creditors lose and debtors gain if the lender does not anticipate inflation correctly. For those who borrow, this is similar to getting an interest-free loan.
  • Uncertainty about what will happen next makes corporations and consumers less likely to spend. This hurts economic output in the long run.
  • People living off a fixed-income, such as retirees, see a decline in their purchasing power and, consequently, their standard of living.
  • The entire economy must absorb repricing costs ("menu costs") as price lists, labels, menus and more have to be updated.
  • If the inflation rate is greater than that of other countries, domestic products become less competitive.

 

Interest Rate
>> See Coupon Rate.

Interest Rate Risk
Risk associated with fluctuations of bond prices in response to the general movement of the interest rates and to changes in investor perceptions of government monetary policy and economic data.

ISIN
International Securities Identification Number consisting of twelve characters.
The first two characters are taken up by the alpha-2 country code as issued in accordance with the international standard ISO 6166 of the country where the issuer of securities, other than debt securities, is legally registered or in which it has legal domicile. For debt securities, the relevant country is the one of the ISIN - allocating NNA. In the case of depository receipts, such as ADR's, the country code is that of the organisation who issued the receipt instead of the one who issued the underlying security. The next nine characters are taken up by the local number of the security concerned. Where the national number consists of fewer than nine characters, zeros are inserted in front of the number so that the full nine spaces are used. The final character is a check digit computed according to the modulus 10 "Double-Add-Double" formula. >> See
www.anna-web.com

ISDA
The International Swaps and Derivatives Association (ISDA) is a trade organization of participants in the market for over-the-counter derivatives. It is headquartered in New York, and has created a standardized contract (the ISDA Master Agreement), that two parties sign before they trade derivatives with each other. This Master Agreement is a bilateral agreement. It contains general terms and conditions that apply to all the individual derivative contracts that the two parties may enter into later.

The ISDA Master Agreement is designed to mitigate the credit risk inherent in derivatives by defining different types of credit triggers that indicate a "default"and the consequences of the "default". http://www.isda.org/

ISMA
International Securities Market Association. A self regulatory body and trade association of International bond Dealers with a remit of establishing a structure for the Eurobond market.
www.icma-group.org/

Interest Rate
Compensation that the borrower pays to lender for use of the funds. It may be payable monthly, quarterly, half-yearly, annually or bi-annually.

Issue Date
1.) The date from where the bond accumulates the interest or becomes alive.
2.) The issue date is the first day a fixed income security begins accruing interest. Most issues have issue dates that occur on a six month anniversary date of maturity. But some bonds are issued on odd dates. These odd-first coupon bonds pay a different coupon amount during their first coupon period. See First Coupon Date.

Issue Price
Percentage amount of the denomination that a bondholder is required to pay in order to purchase the bond.

Jumbos
CD's denominated at a $100000 minimum, usually bought and sold by large financial institutions.

Junk Bonds
High-yield bonds, which are rated below investment grade by credit agencies. Also known as speculative grade bonds.

Lead Manager/Underwriter
The institution awarded the mandate by a borrower to raise money via a bond or loan. The lead manager guarantees the liquidity of the deal, arranges the syndication of the issue and undertakes a major underwriting and distribution commitment. The lead manager forms a syndicate of co-lead managers, co-managers and underwriters.

LIBOR
The London Interbank Offered Rate. The rate at which banks are prepared to lend money market funds to each other. LIBOR is a key interest rate level and used for setting rates on loans and floating rate notes.

Liquidity
The ability to convert a security or asset quickly into cash. A much desired quality in investing.

Market Risk
Market risk is synonymous to the classic price/yield behaviour of bonds. As yields fall, bond prices rise; as yields rise, bond prices fall. In some contexts, this phenomenon may be called "interest rate risk" or "price risk".

Maturity
A length of time between the issue of a security and date on which it becomes payable in full. Most bonds are issued with a fixed maturity date. Those without are known as perpetuals.

Maturity Date
The date when a security becomes payable in full.

Maturity Value
The amount to be paid back at maturity; in bond trading also called principal.

Medium-term Notes.
>> See MTN.

Moody’s
A premier credit rating agency. Moody’s assessments of creditworthiness of borrowers are widely watched in the capital markets.
www.moodys.com

Mortgage-backed Securities
An investment instrument that represents ownership of an undivided interest in a group of mortgages. Principal and interest from the individual mortgages are used to pay investors' principal and interest on the MBS. Also known as "mortgage pass-through."

When you invest in a mortgage-backed security you are lending money to a homebuyer or business. An MBS is a way for a smaller regional bank to lend mortgages to its customers without having to worry if the customers have the assets to cover the loan. Instead, the bank acts as a middleman between the homebuyer and the investment markets.

Mortgage-backed securities In between are several varieties of mortgage-backed security -- Fannie Maes, Ginnie Maes, and so forth -- as well as investment-grade corporate bonds from large, blue-chip companies. The grades come from outfits like Standard & Poor's and Moody's, which rate the riskiness of most non-Treasury bonds.

MTN
Medium-term notes. Borrowings out to about five years typically issued under a similar borrowing facility for commercial paper. MTN's issued in the Euromarkets are known as EMTN's.

Negative Pledge
Clause in bond agreement which prevents the borrower from pledging greater security of collateral to other lenders.

Net Amount
The amount which appears on a trade confirmation is the amount the buyer has to pay, or equivalently, the amount the seller has to receive. It is computed as the follows:
Net Amount = Par Amount * Dollar Price + Accrued Interest

Synonyms for net amount include net proceeds and invoice price.

New Issue
A security that is being offered for sale in the primary market.

Nominal Interest Rates
The interest rate expressed in money terms. >> See also Real Interest Rate.

Notional Bonds
A standardised bond with hypothetical terms (coupon and maturity), which represents the basis for a bond futures contact.

Notional Principal (Amount)
The hypothetical amount on which interest payments are based in products such as interest rate swaps, FRA's, caps and floors.

Odd Coupon
This occurs when the firs or last coupon period is longer or shorter than the nominal coupon period.

Over-The-Counter (OTC)
An instrument is traded over-the-counter (OTC) if it trades in some context other than a formal exchange. Most debt instruments are traded OTC with investment banks making markets in specific issues. If someone wants to buy or sell a bond, they call the bank that makes a market in that bond and ask for quotes. Many derivative instruments, including forwards, swaps and most exotic derivatives are also traded OTC. In these markets, large financial institutions serve as derivatives dealers, customizing derivatives for the needs of clients.

Par Value
>> See Face Value.

Pari Passu
Securities issued with pari passu clause rank equally with existing securities of the same class.

Pay Date
The date when the interest is due to a bondholder.

Paying Agent
Institution appointed to supervise payment and, for floating rate notes, sets interest rates.

Payment Date
The date on which a coupon payment is due to be made.

Payment netting
Payment netting reduces settlement risk: If counterparties are to exchange multiple cash flows during a given day, they can agree to net those cash flows to one payment per currency. Not only does such payment netting reduce settlement risk, it also streamlines processing.

PIP
PIP typically stands for the smallest unit of measurement denoting price movement. One basis point (0.0001 or .01%) but depends on currency pair in reference.

Pfandbriefe
German bonds issued to refinance mortgages or public projects. Can only be issued by specially authorised banks, which are also fully liable for each issue. They are secured by mortgage or public sector loans. Pfandbriefe are officially quoted on German stock exchanges, while issuers maintain a secondary market.

Premium
Generally used to describe when something is trading above its normal price.

Price
The price of a security is typically quoted as a percentage of face value. It is also sometimes referred to as the "clean price". The actual payment that is exchanged between two parties may be different from the quoted price. For example, bonds between coupon payments accrue interest that is proportional to the coupon period. Therefore, the buyer has to pay the seller the quoted price of the security plus any accrued interest. This sum is known as the invoice price of the bond.

Most securities are quoted as a percent in decimal. For example, a corporate bond quoted as 101.125 is equal to 101 and 1/8th percent. Almost all securities are quoted in decimal.

Treasury and federal agency securities are quoted in 32nds and halves of a 32nd.

Prospectus
Document provided by the issuing company giving detailed terms and conditions of a new stock or debt offering.

Quoted Price
The price at which the last sale and purchase of a security took place.

Real Interest Rates
The actual rate of return calculated by deducing the inflation rate from the current interest rate. Also known as real yield. >> See also Nominal Interest Rates.

Reconvention
Change of Daycount convention; mainly due to Euro conversion.

Record Date
The date on which a bondholder must be the official owner of bonds to be entitled to the interest payment.

S&P
Standard & Poor’s. A premier credit rating agency. S&P assessments of the creditworthiness of borrowers are widely watched in the capital markets.
www.standardandpoors.com

Secured Bonds
A corporate that is seeking lower cost debt, or that does not have significantly high credit rating, may issue secured debt. The security offered may be fixed to a specific asset tied to the loan or floating, meaning that the general assets of the company are offered as security for the loan, but not any specific asset.

Securitisation
Generally, the process of bringing lenders and borrowers together via the traded securities markets rather than through the banking system. The term refers to the process of creating a specific class of debt securities for which the coupon and principal payments are generated by a designated asset, where the asset in question has usually been removed from the balance sheet of the institution, which made it.
Securitisation was introduced into the US market which remains the dominant market for this types of securities. In the sterling market all public mortgage-backed and asset backed securities are explicitly rated by Moody's and /or Standard and Poor's.

Settlement Date
1.) Settlement date is the date when a security and the payment for it are actually exchanged between buyer and seller. It is also commonly known as the valuation date.

Settlement date is sometimes confused with trade date. The latter is the date on which the buyer and seller agree to the amount, price, and other terms of the trade, while settlement is the date on which the terms of the transaction are executed. Historically, settlement date occurred several days after the trade date, thus allowing for physical delivery and payment of the agreed upon transaction. As technology improved and bonds were registered in book entry form, this time delay has been shortened.

Most bonds settle with either next day settlement or five business day settlement. Holidays and weekends are excluded from the count. Five day settlement is frequently called "corporate settlement", since most corporate bonds still settle this way. Occasionally, especially among dealers, some securities can be traded for same day settlement, known as "cash settlement". Book entry registration and payment occur electronically on trade date.

2.) A trade is settled when the trade and its counterparts have been entered into the books/records.

3.) In finance, a contract settles when one or both parties perform on an obligation under that contract. The term is commonly used in trading and derivatives markets.

In trading, a trade settles when the instrument being traded actually changes hands and/or is paid for. Both events typically occur on the same date, which is called the settlement date.

Because of mistakes or events beyond the control of counterparties, transactions sometimes fail to settle on the intended date. For this reason, it is useful to distinguish between a transaction's settlement date and its value date. The former is the date on which the transaction actually settles. The latter is the date on which it is intended to settle at the time of the trade.

When a market value is calculated for an instrument, this is typically as of the value date. In this way, the market value reflects the value that the instrument would command in the market for payment and delivery on the value date. If an entire portfolio must be marked to market, some common value date is assumed for all instruments.

A trade is spot settled if the settlement date occurs on a specific date shortly after the trade date. The actual date depends upon the market. In foreign exchange markets, spot transactions settle in two trading days. Corporate debt generally trades for settlement on the third trading day following the trade date. This is called regular-way settlement.

Spot settlement generally reflects the earliest date that transactions typically settle in a given market. However, in some markets, it reflects convention more than practical limitations on how quickly a given transaction can settle. In such markets, pre-spot settlement may be possible, including settlement on the trade date. A trade is said to be cash settled if settlement occurs on the trade date.

A trade is forward settled if it settles on some date after spot. Forward transactions, called forward contracts of forwards, routinely have settlement dates up to a year after the trade date.

If a trade has a cash, spot or forward value date, it may be called a cash, spot or forward trade. Prices at which cash, spot and forward trades transact are called cash prices, spot prices and forward prices.

In the debt markets, a loan is agreed to on one date, but it is said to settle on the date the loan commences. Analogous to trading, there are cash loans, spot loans and forward loans. For example, in the Eurodollar markets, spot loans settle in two trading days. Forward loans settle after that. If interest rates are fixed at the time loans are agreed to, interest rates will differ for spot or forward loans. For example, the interest rate on a 3-month spot loan will generally differ from that on a 3-month forward loan commencing in a year. Accordingly, the markets distinguish between spot interest rates and forward interest rates. See also the article forward rate agreement.

In the money markets and foreign exchange markets, very short-term loans are used to manage short-term cash flows. An overnight loan commences immediately and lasts for one trading day. A tom-next ("tomorrow-next") loan commences in one trading day and lasts for one trading day. A spot-next loan commences in two trading days (spot) and lasts for one trading day.

SIA
Securities Industry Association. The principal trade association and lobbying group for broker/dealers. SIA members include most members of the New York Stock Exchange, and many members of other exchanges and the over-the-counter market. www.sia.com/

Spot
Spot refers to any delivery within two business days.

Swap
A swap is a cash-settled OTC derivative under which two counterparties exchange two streams of cash flows. It is called an interest rate swap if both cash flow streams are in the same currency and are defined as cash flow streams that might be associated with some fixed income obligations.

The most popular interest rate swaps are fixed-for-floating swaps under which cash flows of a fixed rate loan are exchanged for those of a floating rate loan. Among these, the most common use a 3-month or 6-month Libor rate (or Euribor, if the currency is the Euro) as their floating rate. These are called vanilla interest rate swaps. There is also a liquid market for floating-floating interest rate swaps—what are known as basis swaps.

To keep things simple (and minimize settlement risk), concurrent cash flows are netted. In a typical arrangement. both loans have an initial payment (loan) of principal, but those net to 0. Both loans have a final return of the same principal, but those also net to 0. Also, the periodic interest payments are generally scheduled to occur on concurrent dates, so they too can be netted. The principal amount is called the notional amount of the swap.

Consider an example. Two banks enter into a vanilla interest rate swap. The term is four years. They agree to swap fixed rate USD payments at 4.6% in exchange for 6-month USD Libor payments. At the outset, the fixed rate payments are known. The first floating rate payment is also known, but the ret will depend on future values of Libor. Exhibit 1 calculates the swap payments under a hypothetical scenario for Libor rates over the life of the swap. These are illustrated graphically in Exhibit 2.

Cash Flows During the Life of a USD 100MM 4.6% Four-Year Swap
Exhibit 1

Time
(years)

6-Month
Libor

Fixed Rate Cash Flows

Floating Rate Cash Flows

Swap
Net Cash Flows

[1]

[2]

[3]

[4]

[3] – [4]

0.0

2.8 %

–100.0

–100.0

0.0

0.5

3.4 %

2.3

1.4

0.9

1.0

4.4 %

2.3

1.7

0.6

1.5

4.2 %

2.3

2.2

0.1

2.0

5.0 %

2.3

2.1

0.2

2.5

5.6 %

2.3

2.5

–0.2

3.0

5.2 %

2.3

2.8

–0.5

3.5

4.4 %

2.3

2.6

–0.3

4.0

3.8 %

102.3

102.2

0.1

Cash flows under a hypothetical four-year vanilla swap. Fixed payments are based on a 4.6% semi-annual rate. Floating payments are based on 6-month Libor. The initial Libor rate is known to be 2.8% at the outset, so the swap's first payment is certain. Subsequent Libor rates are not known at the outset. The last column indicates cash flows to the receive-fixed party. Cash flows to the receive-floating party are the negatives of these. All cash flows are in millions of dollars. Note that the final Libor rate at 4.0 years is not used to calculate any of the swap's cash flows. Note also how all USD 100MM principal payments net to zero.

 

Illustrative Swap Cash Flows
Exhibit 2

Graphical presentation of the results in Exhibit 1. Swap cash flows are indicated as those received by the receive-fixed party.

In addition to being the financial equivalent of an exchange of loans, a vanilla fixed income swap is also mathematically equivalent to a strip of FRA's.

Interest rate swaps are used for many purposes. If a corporation has borrowed money at a floating rate of interest but would prefer to lock in a fixed rate, it can swap its floating rate payments into fixed rate payments. This is illustrated in Exhibit 3.

Swapping Floating Debt into Fixed
Exhibit 3

By entering into a swap with a third party, a corporation can convert floating rate payments into fixed rate payments.

 

Swaption
A swaption is an OTC option on a swap. Usually, the underlying swap is a vanilla interest rate swap. Unless stated otherwise, that is how we will use the tem in this article. However, the term "swaption" might be used to refer to an option on any type of swap.

In case you are wondering why anyone would want to buy a swaption, the answer is often that they don't want to. Frequently, they want to sell a swaption. Consider a corporation that has issued debt in the form of callable bonds paying a fixed semi annual interest rate. The corporation would like to swap the debt into floating rate debt. The corporation enters into a fixed-for-floating swap with a derivatives dealer. To liquidate the call feature of the debt, it also sells the dealer a swaption. For derivatives dealers, clients often want to sell them swaptions while other clients want to buy caps from them. The dealers then face the challenge of hedging the short caps with the long swaptions.

Swaptions can be for American, European or Bermudan exercise. They can be physically settled, in which case an option is actually entered into upon exercise. They can also be cash settled, in which case the market value of the underlying swap changes hands upon exercise.

To specify a swaption, we must indicate three things:

- the expiration date of the option

- the fixed rate on the underlying swap

- the tenor (time to maturity at exercise of the option) of the swap.

The purchaser of the swaption pays an up front premium. If she exercises, there is no strike price to pay. The two parties simply put on the prescribe swap. Note, however, the fixed rate specified for the swaption plays a role very similar to that of a strike price. The holder of the swaption will decide whether or not to exercise based on whether swap rates rise above or fall below that fixed rate. For this reason, the fixed rate is often called the strike rate.

By symmetry, a call on a pay-fixed swap is the same thing as a put on a receive-fixed swap. Similarly, a call on a receive fixed swap is the same as a put on a pay fixed swap. For this reason, it is often more convenient to speak in terms of two basic forms of swaption:

- A payer swaption is a call on a pay-fixed swap—the swaption holder has the option to pay fixed on a swap.

- A receiver swaption is a call on a receive fixed swap—the swaption holder has the option to receive fixed on a swap.

Suppose a party purchases a 1x5 payer swaption struck at 5%. A year later, if the four-year swap rate is 6%, she will exercise the swaption and pay 5% fixed for Libor flat on a four-year swap. If instead, the four-year swap rate is 4%, she will not exercise the swaption.

Short First Coupon
The first interest payment on a recently issued bond that includes less than the normal semi-annual or annual payment.

SoxA
In 2002, Accounting firm Arthur Andersen was convicted of a single charge stemming from its lackluster auditing of Enron. That action forced Andersen, one of the largest and most respected auditors in the world, to go out of business.

There was plenty of blame to go around. Corporate executives had cooked books while lining their pockets. Analysts at investment banks had recommended stocks they knew were dogs in a quid pro quo that ensured banking business from those same firms. Accounting firms had been cross-selling consulting services to audit clients. Increasingly, their auditors had shied away from challenging management of firms so as to not jeopardizing those lucrative consulting engagements.

Amidst the gloom and finger-pointing, Congress passed the 2002 Sarbanes-Oxley Act, fondly known as "sox." This is a sweeping law that increases management accountability, mandates a variety of internal controls at firms, and strengthens the role of auditors. Accounting firms are largely prohibited from simultaneously auditing and consulting to any given client. A new federal agency, called the Public Company Accounting Oversight Board, (PCAOB or Peek-a-Boo), is to oversee accounting firms. Corporations must test internal controls regularly. To avoid conflicts, those tests must be performed by an outside firm other than the external auditor. Sarbanes-Oxley has been variously described as ineffective, overly costly to corporations, or too demanding. Maybe some of the criticism is reasonable—or maybe not. Time will tell.

Standard and Poor’s
>> See S&P.

Stripping
>>see Coupon Stripping.

Term to Maturity
A time period from issue date to maturity date.

Tick
A price movement.

Tombstone
A public notice such as a newspaper advertisement announcing the details of a new issue including the names of investment and finance houses who have organised and provided the funds. A tombstone appears as a matter of record and is not an invitation to subscribe.

Tom Next
Tom next or "tomorrow next" refers to a transaction in the interbank market in Eurodollar deposits and the foreign exchange market with a next business day value or delivery date.

Tranche
Term used to describe portion allocation or installment. One of a series of two or more issues with the same coupon rate and maturity date. The tranches becomes fungible at a future date, usually just after the first coupon date.

Upgrade
Upward regrade of credit status for a borrowing institution or its debt instruments. Opposite of downgrade >> See also Downgrade.

Variable Rate
A periodically adjusted rate, usually based on a standard market rate.

Volatility
A measure by which an interest rate is expected to fluctuate or has fluctuated over a given period. Volatility figures are often expressed as a percentage per annum.

Yield
Also known as "yield to maturity", yield is defined as the internal rate of return of a security's cash flows. It is that discount rate which equates a bond's invoice price (principal + accrued interest) with the present value of its coupon and principal payments.

For most securities, this rate is quoted in terms of the compounding convention of the security. Money market instruments quote yield on a simple interest basis, whereas bonds are quoted on a semi-annual, compounded basis. Except in the case of zero-coupon instruments, "yield" is not an assured rate. In addition, it suffers from the inherent limitations of any internal rate of return. This is one of the reasons why there exist other frameworks within which to compare securities.

Yield to Maturity
1.) Yield to maturity (YTM) is the internal rate of return of a bond. In calculating YTM, coupon income, redemption value, interest earned on interest, as well as the timing of each cash flow, are all taken into account from settlement to maturity. All intermediate cash flows are reinvested at the YTM itself. The YTM may only be realized when the bond is held to maturity and all cash flows are reinvested at exactly the YTM rate.

2.) A key consideration when comparing bond investments. It is annualised rate of return of a bond, namely the interest rate that makes the present value of the bond’s future cash equal to the present price of eh bond. It assumes the bond will be held to maturity and that the coupon will be reinvested at the same rate.

Zero Coupon Bond
A bond that pays no periodic interest but is issued at a deep discount to face value. The difference between the issue and redemption price creates a hefty capital gain, which boosts the yield close to the market levels. As it does not pay a coupon, investors do not run the risk of reinvesting interest aid at a lower rate if interest rates fall during the life of the bond.