a bond analysis (1)

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    Bond Analysis

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    Bond Analysis

    Bond Definition

    A debt instrument issued for a period ofmore than one year with the purpose ofraising capital by borrowing.

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    Bond Analysis

    Bond Terminology Bond Par ValueA bond's par value is the maturity value of thebond. It is an amount that investors willreceive if they hold a bond to maturity. Bondpar value is also referred to as maturity value,face value, and principal amount.

    Bond Market PriceThe market price of a bond is the current valuethe market places on a particular debt issue.

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    Bond Analysis

    Maturity Date

    The maturity date of a bond is the date on

    which the issuing company would pay theholder of the bond its par value.

    callable bonds

    There are certain bond features that allowthe issuing company to retire a bondbefore its maturity date. These are called

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    Bond Analysis

    Bond Coupon Rates

    Bond coupon rate is also referred to as the

    stated rate or the nominal rate of interest.

    Current Bond Yield

    A bond's current yield is simply a functionof the bond's current market price and thebond's coupon rate.

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    Bond Analysis

    Bond Yield to Maturity(YTM)

    A bond's yield to maturity is a way that

    investors can account for all of the possiblereturns they will get from a bond

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    Bond Analysis

    Types of Bonds

    Premium BondsPremium bonds are government bonds that are

    priced higher than their face value. Thesebonds are sold at a premium because the

    interest rate paid on them is higher than theprevailing interest rates.

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    Bond Analysis

    Types of Bonds

    convertible

    are corporate bonds that can be convertedinto the common stock of the issuing companyat the behest of a bondholder. However, theconversion of a convertible bond is subject tocertain restrictions, depending on the policies

    of the issuing authority.

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    Bond Analysis

    Types of Bonds

    Discount Bonds

    are those bonds which has been sold by a customerat a price below the face value of the same.Suppose, a bond has a par value of hundred USdollars. Now, if an investor sells this bond in themarket at a rate below the hundred dollar mark,

    say US $ 50, then this bond would be regarded asthe Discount Bond. In such a case the bond wouldbe said to have been sold at a discount of fifty USdollars.

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    Bond Analysis

    zero coupon bond or Deep discountbonds

    A bond which pays no coupons, is sold ata deep discount to its face value, andmatures at its face value.

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    Bond Risk

    Interest rate Risk

    Default Risk

    Marketability Risk

    Call ability Risk

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    Bond Risk

    Interest rate risk

    Variability in the return from the debtinstruments to investors is caused by thechanges in the market interest rate.

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    Bond Risk

    Default Risk

    The failure to pay the agreed value of thedebt instrument by the issuer in full, ontime or both are the default risk.

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    Bond Risk

    Marketability Risk

    Variation in return caused by the difficultyin selling the bonds quickly without havingto make a substantial price concession isknown as marketability.

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    Bond Risk

    Call-ability Risk

    The uncertainty crated in the investorsreturn by the issuers ability to call thebond at any time is known as call-abilityrisk.

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    The Time Value Concept

    Concept of money is that the rupee

    received today is more valuable than arupee received tomorrow.

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    Future Value

    The interest that the barrower pays tothe lender cause the money to have a

    future vale different from its presentvalue.

    Future Value= present value(1+int rate) t

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    The Present Value

    It is the measure of future returnstodays worth.

    Present valuefuture value

    = -----------------

    (1+interest rate) t

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    Bond Return

    Holding Period Return

    An investor buys a bond and sells it after

    holding for a period.Price gain/loss during the holding period +

    coupon rate

    = -------------------------------------------------

    current market price

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    Bond Return

    The current yield

    The current yield is the coupon payment as

    a percentage of current market price

    Annual coupon payment

    = --------------------------------

    current market price

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    Yield To Maturity (YTM)

    It is a single discount factor that makespresent value of future cash flows from abond equal to the current price of the

    bond.Assumptions

    There should not be any default. The investor has to hold the bond till maturity

    All the coupon payments should be reinvestedimmediately at same interest rate as the sameyield to maturity of the bond.

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    YTM

    c+(P or D/ years to maturity)

    Y = ----------------------------------

    (P0 + future value)/2

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    YTM

    Where:

    Y= yield to maturity

    C= coupon interest rate

    P or D = premium or discount

    P0 = present value

    F = Face value

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    Bond value theorems

    Theorem I

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    Bond value theorems

    Theorem II

    The bonds yield remains the same over its

    life, the discount of premium depends onthe maturity period.

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    Bond value theorems

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    Bond value theorems

    Theorem III

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    Bond value theorems

    Theorem IV

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    Bond value theorems

    Theorem V

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    convexity

    The quantum increase in the bond'sprice for a given decline in the yield is

    higher than the decline in bonds pricefor a similar amount of increase inbonds yield. Hence the relationship isnot linear. this relation is referred as

    convexity.

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    convexity