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8/19/2019 Bonds Webster
1/24
7-1
CHAPTER 7Bonds and Their Valuation
Key features of bonds
Bond valuation Measuring yield
Assessing risk
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What is a bond? A long-term debt instrument in
which a borrower agrees to make
ayments of rincial andinterest! on seci"c dates! to theholders of the bond#
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Bond markets $rimarily traded in the over-the-counter
%&T'( market#
Most bonds are owned by and tradedamong large "nancial institutions#
)ull information on bond trades in the&T' market is not ublished! but areresentative grou of bonds is listedand traded on the bond division of the*+,#
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Key )eatures of a Bond $ar value . face amount of the bond! whichis aid at maturity %assume /0!111(#
'ouon interest rate . stated interest rate
%generally "2ed( aid by the issuer# Multilyby ar to get dollar ayment of interest#
Maturity date . years until the bond must bereaid#
3ssue date . when the bond was issued# +ield to maturity - rate of return earned on
a bond held until maturity %also called the4romised yield5(#
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6ect of a call rovision Allows issuer to refund the bond
issue if rates decline %hels the
issuer! but hurts the investor(# Borrowers are willing to ay
more! and lenders re7uire more!
for callable bonds# Most bonds have a deferred call
and a declining call remium#
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What is a sinking fund? $rovision to ay o6 a loan over
its life rather than all at maturity# ,imilar to amorti8ation on a term
loan# 9educes risk to investor!
shortens average maturity# But not good for investors if
rates decline after issuance#
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:ow are sinking funds
e2ecuted? 'all 2; of the issue at ar! for sinking
fund uroses#
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The value of "nancial
assets
n
n
=
=
0
0
k(%0') ###
k(%0')
k(%0') Value
+
++
+
+
+
=
0 1 2 n
k
CF1
CFn
CF2
Value
...
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&ther tyes %features( of
bonds 'onvertible bond . may be e2changed for
common stock of the "rm! at the holder>sotion#
Warrant . long-term otion to buy a statednumber of shares of common stock at aseci"ed rice#
$utable bond . allows holder to sell the
bond back to the comany rior to maturity# 3ncome bond . ays interest only when
interest is earned by the "rm# 3nde2ed bond . interest rate aid is based
uon the rate of ination#
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What is the oortunity cost of
debt caital? The discount rate %ki ( is the
oortunity cost of caital! and is
the rate that could be earned onalternative investments of e7ualrisk#
ki @ k 3$ M9$ C9$
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Bond values over time At maturity! the value of any bond must
e7ual its ar value#
3f kd remains constantD The value of a remium bond would
decrease over time! until it reached/0!111#
The value of a discount bond wouldincrease over time! until it reached/0!111#
A value of a ar bond stays at /0!111#
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Ce"nitions
+
==
=
=
'E+
-2ected
'+
-2ected +TMreturntotal-2ected
rice Beginning
ricein'hange %'E+(yieldgains'aital
rice'urrent
ayment couon Annual %'+(eld'urrent yi
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What is reinvestment rate
risk? 9einvestment rate risk is the concern
that kd will fall! and future ')s will
have to be reinvested at lower rates!hence reducing income#
EXAMPLE: Suppose you just won
$500,000 playing the lottery. Youinten to in!est the "oney an
li!e o# the interest.
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9einvestment rate risk
e2amle +ou may invest in either a 01-year bond or
a series of ten 0-year bonds# Both 01-yearand 0-year bonds currently yield 01;#
3f you choose the 0-year bond strategyD After +ear 0! you receive /F1!111 in
income and have /F11!111 to reinvest#But! if 0-year rates fall to G;! your
annual income would fall to /0F!111# 3f you choose the 01-year bond strategyD
+ou can lock in a 01; interest rate! and/F1!111 annual income#
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'onclusions about interest rate
and reinvestment rate risk
'&*'
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Would you refer to buy a 01-year!01; annual couon bond or a 01-
year! 01; semiannual couon bond!all else e7ual?
The semiannual bond>s e6ective rateisD
01#=F; 01; %the annual bond>se6ective rate(! so you would refer thesemiannual bond#
01#=F;0=
1#0100m
i0-));
=m
*om =−
+=−
+=
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Cefault risk
3f an issuer defaults! investorsreceive less than the romised
return# Therefore! the e2ectedreturn on cororate and municialbonds is less than the romisedreturn#
3nuenced by the issuer>s "nancialstrength and the terms of the bondcontract#
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Tyes of bonds
Mortgage bonds
Cebentures
,ubordinated debentures
3nvestment-grade bonds
Lunk bonds
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valuating default riskDBond ratings
Bond ratings are designed to reectthe robability of a bond issue goinginto default#
Investment Grade Jn! "#nds
$##d%&s
Aaa Aa A Baa Ba B 'aa '
' ( P AAA AA A BBB BB B '''C
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)actors a6ecting default risk andbond ratings
)inancial erformance Cebt ratio
T3 ratio
'urrent ratio
Bond contract rovisions ,ecured vs# Hnsecured debt
,enior vs# subordinated debt
Euarantee and sinking fund rovisions
Cebt maturity
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&ther factors a6ecting defaultrisk
arnings stability
9egulatory environment
$otential antitrust or roductliabilities
$ension liabilities
$otential labor roblems
Accounting olicies
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Bankrutcy
Two main chaters of the )ederalBankrutcy ActD 'hater 00! 9eorgani8ation 'hater !
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$riority of claims inli7uidation
0# ,ecured creditors from sales ofsecured assets#
=# Trustee>s costsG# Wages! subNect to limitsO# Ta2es
F# Hnfunded ension liabilities
P# Hnsecured creditors# $referred stock
Q# 'ommon stock
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9eorgani8ation
3n a li7uidation! unsecured creditorsgenerally get 8ero# This makes themmore willing to articiate inreorgani8ation even though their claimsare greatly scaled back#
Various grous of creditors vote on thereorgani8ation lan# 3f both the maNority
of the creditors and the Nudge arove!comany 4emerges5 from bankrutcywith lower debts! reduced interestcharges! and a chance for success#