Bonds Webster

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    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#