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BONDS & FLOATERS
BONDS
 Definition – Concepts
 Bond Rating Agencies (Moody's and Standard & Poor's)
 Features of Bonds
 Types of bonds
Fixed Rate Bonds
Zero Coupon Bonds
High Yield Bonds
Convertible Bonds
Step-up (down) Bonds
Floating Rate Notes
 Duration indicators
 Annexe : Main Financial Markets
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Definition - Concepts
 A bond (fixed-income security) is a debt security issued by the Federal government,
states, cities, corporations, or institutions
 All of these entities need money to operate (to fund the federal deficit, to build roads
and finance factories, ..) so they borrow capital from the public by issuing bonds.
 So when an investor buys a bond, he becomes a creditor of the issuer.
 The issuer owes the investor a debt and is obliged to repay the bond’s value and
interest at a later date, termed maturity.
3
Bond Rating Agencies (Moody's and Standard & Poor's)
 Provide a service to investors by grading fixed income securities based on current
research.
 The rating system indicates the likelihood that the issuer will default either on interest
or capital payments.
Moody's
S&P
Meaning
Investment Grade Bonds
Aaa
AAA
Bonds of the highest quality that offer the lowest degree of
investment risk.
Aa1, Aa2, Aa3
AA+, AA, AA-
Bonds are of high quality by all standards, but carry a slightly
greater degree of long-term investment risk.
Non Investment Grade Bonds (Junk Bonds)
Ba1, Ba2, Ba3
BB+, BB, BB-
Bonds with speculative fundamentals. The security of future
payments is only moderate.
C
C
Lowest rated class of bonds
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Features of Bonds (1)
 The Issuer :
 Government bonds : issued by a national government and referred to as risk-free bonds.
• Govies : issued in the country's own currency
Ex : - in France, OAT are Govies issued by the « Agence France trésor »
- in USA, US Treasuries are Govies issued by the « Bureau of Public Debt »
• Sovereign bonds : issued in foreign currencies
 Corporate bonds :
• issued by private and public corporations, as opposed to Govies.
• higher yields because there is a higher risk of a company defaulting than a government.
 Agency (Quasi-Govies) Bonds :
• issued by a U.S. government-sponsored agency.
• After Govies, the safest category of bonds. All agency bonds carry an ‘AAA’ credit rating.
 Municipal bonds :
• issued by any municipal organization
• the interest payments are usually exempt from federal taxes and also from state and
local taxes in the area bonds are issued.
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Features of Bonds (2)
 Nominal (Principal, Face value, Par value) : amount over which the issuer pays interest, and
which has to be repaid at the end.
 Price : It fluctuates throughout its life due to the interest rates evolution and variation of the
issuer credit quality.
!
 When a bond trades at a price above the Nominal : it’s sait to be selling at a premium
 When it sells below the Nominal : it’s said to be selling at a discount
 Maturity date : the date that the bond will cease to exist and at which time the issuer
will pay the nominal
 short term (bills): maturities up to one year;
 medium term (notes): maturities between one and ten years;
 long term (bonds): maturities greater than ten years.
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Features of Bonds (3)
 Coupon Rate : Interest rate that the issuer pays to the bondholder (expressed as a
percentage of the bond’s face value).
 Coupon Type : The type of interest rate. It can be fixed, variable or floating.
 Coupon Dates : Coupons are typically paid semiannually, but some bonds pay
annual, quarterly or monthly coupons.
 Coupon frequency : The number of times interest is paid per year.
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Features of Bonds (3)
 Optionality (callability / puttability) : it grants option like features to the buyer or issuer
 Callable bond : the issuer has the right to redeem the bond prior to its maturity date.
He will often call a bond if it’s paying a higher coupon than the current market interest
rates. The company can reissue the same bonds at a lower interest rate.
 Put bond :allows the bondholder to redeem the bond at a specified price prior to
maturity. Investors might choose to do this if interest rates increase after the bond was
issued.
 How does it work?
 Bond issues at a price closed to its par value (exact price determined by market
conditions).
 The issuer makes fixed periodic interest payments : coupons (a percentage of that par
value)
 They continue to be paid until the bond's maturity date
 At maturity date : one final coupon is paid along with the par value.
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Bond Price Formula :
 Price of any financial instrument = the Net Present Value (NPV) of all future cash flows
discounted at a suitable interest rate(s).
 To simplify we assume a single rate for all cash flows known as the yield-to-maturity.
 Cash flows = { coupon interest payments & the maturity value (par value) }
 Fixed rate bond formula :
C = coupon payment
n = number of payments
i = interest rate (yield-to-maturity)
M = value at maturity, or par value
 This formula illustrates that, when interest rates go up, the price goes down!
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Types of bonds (1)
 Fixed rate bonds (called straight or plain vanilla bonds ) : a bond paying
periodic interest payments at a fixed rate over a fixed period to maturity, with the
return of Principal on the maturity date.
 Example : a 4.6% 20-year bond (long term bond)
2.3
1Y
2.3
2Y
2.3
3Y
2.3
4Y
102.3
2.3
-----
20Y
98.2
Bond’s par value (Face value) of USD 100
it issues below par at USD 98.2 (at a discount).
It then makes semiannual coupon payments of USD 2.30.
On the maturity date, a final coupon is paid along with the par value.
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Types of bonds (2)
 Zero coupon bonds :
 No periodic interest payments (No coupons)
 It’s sold at a deep discount to face value and matures at its face value.
 The income comes to bondholder from the difference between the par value that
he receives when the bond is redeemed and the bond’s price (at a discount)
 Ex : investor can buy a bond with a par value of 1000 for a price of 600, so the
interest realized is : 1000-600=400.
 Example : a 20-year Zero Coupon bond
 Bond’s par value (Face value) of USD 1000
 it issues at a discount at USD 600.
 On the maturity date, a coupon is paid.
1Y
2Y
3Y
1000
4Y
-----
20Y
600
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Types of bonds (3)
 High yield bonds (non-investment grade bonds, junk bonds) :
 rated below investment grade by the credit rating agencies.
 Relatively risky so investors expect to earn a higher yield.
 Convertible bonds (converts) :
 give the holder the option to exchange the bond for a predetermined number of
shares in the issuing company.
 Step-up (Step-down) bonds :
 The coupon rate increases (decreases) during the life of the bond.
 Ex : a 5-year bond can have a coupon rate of 6% for the first 2 years and 6.5% for
the last 3 years (step-up bond)
 or 9% for the first 2 years and 8% for the last 3 years (step-down bond).
 only one change in coupon rate : a single step-up (step-down) bond.
 more than one change : a multiple step-up bond.
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Types of bonds (4) : Floating Rate Notes (Floaters)
 Coupon fluctuates with a designated reference rate (Benchmark rate, market index).
 2 commonly-used reference rates :
 Libor (London Interbank Offered Rate)
 In continental Europe : the euro benchmark is called Euribor
 Coupon rate is calculated as the reference rate plus a fixed spread :
Coupon rate = Reference rate + Fixed Spread
 Ex : 3month USD LIBOR +2.0% (coupon rate = 3month LIBOR + 200 basis points)
 Coupon Frequency : periodically, normally every 3month : “quaterly”
 Typically, FRN have maturities of about 5 years.
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Floating Rate Notes (Floaters)
 Quoted Margin (in basis points):
 Amount added to the reference rate (« fixed spread ») in order to determine the coupon
 It depends upon the issuer's credit quality
 It is fixed over the bond’s life
 Discount Margin (in basis points):
 This measure assesses the average margin that an investor can expect to receive over the
FRN’s life.
 It can be seen as a FRN’s equivalent of a fixed bond’s yield to maturity.
 It will change daily, according to market conditions and credit quality of the issuer.
 Advantages :
 Coupon linked to a variable interest rate index :
• has the effect of eliminating most of the interest rate sensitivity of the note
• Price is always at or near par value.
• the price action of a FRN is driven mostly by the changes in the credit quality of the
issuer
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Floating Rate Notes (Floaters)
 Example : a 3-year FRN
 Coupon resets and pays every 6month
 Reference rate : 6month Libor
 Quoted Margin : 52bp semi-annually
FRN issued at par
100
6M
12M
18M
24M
30M
36M
100
Floating coupons of Libor plus 52bp paid semi-annually
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Floating Rate Notes (Floaters)
 Next coupon rate value ?
spot Lag :
Libor 6M fixed
spot Lag :
Libor 6M fixed
Next Coupon fixed
Current Coupon fixed
- 2j
PrevCpnDate
Today
6M
Maturity
- 2j
NextCpnDate
Current Coupon paid
NextCpnDate + 6M
Next Coupon paid
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Duration Indicators
 Duration is a measure of the average (cash-weighted) term-to-maturity of a bond.
The bond’s value will vary depending on :
• the amount of the cash flows (coupon size)
• the timing of the cash flows (term to maturity)
• the interest rate used for discounting.
 Duration helps to summarize these variables in a single number.
 Duration (MacCauley’s duration) :
 The weighted-average term to maturity of the cash flows from a bond.
 frequently used by portfolio managers who use an immunization strategy.
 Modified Duration :
 A useful measure of the sensitivity of a bond's price to interest rate movements.
 It follows the concept that interest rates and bond prices move in opposite directions.
 It’s used to determine the effect « a 100 bp (1%) change in interest rates » will have on the
price of a bond.
 Ex : a 15 year bond with a Modified Duration of 7 years would fall approximately 7% in
value if the interest rate increased by 1%
17
Annexe : Main Financial markets
 They facilitate :
 The raising of capital in the Capital markets (Long term)
• Stock markets
• Bond markets
Primary market : new issues
exchanges
Secondary market : aldready issued
Over-the-counter
 The transfert of risk int the Derivatives markets
 The international trade in the Currency markets (Foreign exchange or Forex)
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