Bond Pricing and Returns … continued Yield to Maturity • Calculating the Yield to Maturity • Misreading the Yield to Maturity • The Yield Curve... annuities - most bonds are annuiti
Trang 3 Bond Principles … continued
Bond Cash Flows
• Annuities
• Zero Coupon
• Variable Rate
• Consols
• Inflation-Indexed Treasury Bonds
Convertible and Exchangeable Bonds
Trang 4 The Financial Page Listing
• Zero Coupon Bonds
• Variable Rate Bonds
• Consols
Outline
Trang 5 Bond Pricing and Returns … continued
Yield to Maturity
• Calculating the Yield to Maturity
• Misreading the Yield to Maturity
• The Yield Curve
Trang 7Bond Principles: Identification of Bonds
Bonds are identified by issuer, coupon
rate, and maturity
The face value of a bond is called its par value
e.g 5 of “Hertz sevens of 03” (Hertz 7s03)
A legal document called the indenture
contains the details of the bond issue.
Trang 8a government e.g US Treasury, federal agency,
state, local
b corporation e.g industrial, utility, financial,
transportation
c others e.g foreign government, foreign
corporation, World Bank
Bond Principles: Classification of Bonds
Method 1: By issuer
Trang 9Bond Principles: Classification of Bonds
Insert Table 4-1 here.
Trang 10a unsecured debt - backed by faith in the taxing
power of the government, or the good name of the company (debenture)
b secured debt e.g revenue bond, assessment
bond, mortgage, collateral trust bond,
equipment trust certificate
Bond security sometimes comes from non-traditional
sources Recently, some rock stars floated bonds
using their future earnings as backing.
Method 2: By security Bond Principles: Classification of Bonds
Trang 11Method 3: By term
a short-term - a year e.g US Treasury bills
b intermediate-term e.g US Treasury notes
(2 to 10 years )
c long-term e.g US Treasury bonds ( 10 years)
d open-ended e.g corporate line of credit
e serial bond - a portfolio of bonds with
staggered terms
Bond Principles: Classification of Bonds
Trang 12Bond Principles: Classification of Bonds
Insert Table 4-2 here.
Trang 13 interest only - the periodic payments are
entirely interest
sinking fund - periodically, a portion of the
debt principal is set aside or a certain number of the bonds is retired
balloon loan - the debt may be partially
amortized with each payment
income bond- interest is payable only if it is
earned
Bond Principles: Terms of Repayment
Trang 14 annuities - most bonds are annuities plus an
ultimate repayment of principal
zero coupon - only the par value is returned
at maturity
variable (adjustable) rate - the rate fluctuates
in accordance with some market index or predetermined schedule
consols - a level rate of interest is paid
perpetually
inflation-indexed Treasury bonds - the
principal value is adjusted based
on the consumer price index
Bond Principles: Bond Cash Flows
Trang 15 convertible bond - may be exchanged for
common stock in the
company that issued the bond
exchangeable bond - may be exchanged for
shares in another firm
Bond Principles: Options
Trang 16 bearer (coupon) bonds - belong to whomever
legally hold them; no longer
issued in the United States
because of tax considerations
registered bonds - the bonds show the
bondholder’s name
book entry bonds - bond ownership is
reflected only in the
accounting records
Bond Principles: Registration
Trang 17Bond Principles: Registration
Insert Figure 4-1 here.
Trang 18Basic
Information
Cur Net Bonds Yld Vol Close
Yld.
6 Feb 26 86:09 86:11 - 9 7.11
The Financial Page Listing
Trang 19The Financial Page Listing
Insert Figure 4-2 here.
Trang 20
present the
from periods
semiannual in
time
rate discount
periods semiannual
in bond the
of term where
1
value
par 1
interest
al) PV(princip t)
PV(interes price
bond current
Trang 212 Zero Coupon Bonds
1 r n
value
par al)
PV(princip price
time
at flow
cash price
bond current
Bond Pricing & Returns: Valuation Equations
Trang 224 Consols
r
t r
t
time
at flow
cash
time
at flow
cash price
bond current
Trang 23The yield to maturity is the single interest rate that, when applied to the stream of cash flows associated with a bond, causes the present
value of those cash flows to equal the bond’s market price.
Bond Pricing & Returns: Yield to Maturity
Trang 24
value) 0.4(par
price) 0.6(market
maturity until
years
value par
price
-market -
interest
annual
Trang 25Bond Pricing & Returns: Yield to Maturity
The yield to maturity calculation carries an
assumption that coupon proceeds are
reinvested at the yield to maturity.
If a bond pays periodic interest, it is not
possible to lock in a prescribed yield to
maturity.
Trang 26Bond Pricing & Returns: Yield to Maturity
Insert Table 4-3 here.
Trang 27 A plot of interest rates against time to
maturity is known as a yield curve.
yield
time
Bond Pricing & Returns: Yield to Maturity
Trang 28Bond Pricing & Returns: Yield to Maturity
Insert Figure 4-4 here.
Trang 29 A spot rate is the yield to maturity of
a zero coupon security of the chosen maturity.
A treasury strip is a government bond or note
that has been decomposed into two parts, one for the stream of interest payments and one for the return of principal at maturity.
The yield to maturity is a derived statistic after
the bond price is known.
Bond Pricing & Returns: Spot Rates
Trang 30 The yield to maturity can be thought of as an
“average” of the spot rates, or as a flat yield curve at some constant interest rate.
This single interest rate makes the present
value of the future cash flows equal to the bond’s market price.
%
Term Yield to Maturity Spot Rate Curve
Bond Pricing & Returns: Spot Rates
Trang 31Bond Pricing & Returns: Spot Rates
Insert Figure 4-5 here.
Trang 32Realized Compound Yield:
year per
payments of
number
maturity to
yield where
1 rate
annual effective
Trang 33 The current yield only measures the return
associated with the bond’s interest
payments.
A bond whose market price is less than its
par value is selling at a discount The price
of such bonds rise as maturity approaches.
If the market price is more than the par
value, the bond is selling at a premium
Bond Pricing & Returns: Current Yield
Trang 34Bond Pricing & Returns: Current Yield
Insert Figure 4-6 here.
Trang 35 Interest is earned for each day that a bond
is held, although interest payments are
generally made twice a year only.
A bond buyer must pay the accrued interest
to the seller of the bond.
dirty price = bond price + accrued interest
clean price = bond price
By convention, accrued interest is
calculated using a 360-day year
Bond Pricing & Returns: Accrued Interest
Trang 36Bond Pricing & Returns: Accrued Interest
Insert Figure 4-7 here.
Trang 37 default risk - the possibility that the issuer
of the bond is unable to pay
- rated by agencies like Moody’s and Standard & Poor’s
Bond Risks: Price Risks
Trang 38Bond Risks: Price Risks
Insert Table 4-5 here.
Trang 39 interest rate risk - the chance of loss due to
changing interest rates
Bond Risks: Price Risks
Trang 40 call risk - the possibility that the company
will exercise a bond’s call feature
Bond Risks: Convenience Risks
Trang 41Bond Risks: Convenience Risks
Insert Figure 4-8 here.
Trang 42 reinvestment rate risk - the chance that the
interest received cannot be
reinvested to earn as much as the bond’s original yield to maturity
- the higher the coupon on a bond, the higher its reinvestment rate risk
marketability risk - the difficulty of selling a
bond in the secondary
market
Bond Risks: Convenience Risks
Trang 44 Bond Principles … continued
Bond Cash Flows
• Annuities
• Zero Coupon
• Variable Rate
• Consols
• Inflation-Indexed Treasury Bonds
Convertible and Exchangeable Bonds
Trang 45 The Financial Page Listing
• Zero Coupon Bonds
• Variable Rate Bonds
• Consols
Review
Trang 46 Bond Pricing and Returns … continued
Yield to Maturity
• Calculating the Yield to Maturity
• Misreading the Yield to Maturity
• The Yield Curve