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  • 8/10/2019 FIN300

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    Stripped bond/zero-coupon bond A bond that makes no coupon payments, thus initially priced at a de

    Canada yield curve A plot of the yields on Government of Canada notes and bonds relati

    Sinking fund Account managed by the bond trustee for early bond redemption

    Call provision Agreement giving the corporation the option to repurchase the bond

    Call premium Amount by which the call price exceeds the par value of the bond

    Call protected Bond during period in which it cannot be redeemed by the issuer

    Bearer form Bond issued without record of the owner's name; payment is made tRetractable bond Bond that may be sold back to the issuer at a prespecified price befo

    Deferred call Call provision prohibiting the company from redeeming the bond bef

    Canada plus call Call provision which compensates bond investors for interest differe

    Real rates Interest rates or rates of return that have been adjusted for inflation

    Nominal rates Interest rates or rates of return that have not been adjusted for infla

    Protective covenant Part of the indenture limiting certain transactions that can be taken

    Registered form Registrar of company records ownership of each bond; payment is m

    Maturity date Specified date at which the principal amount of a bond is paid

    Coupon rate The annual coupon divided by the face value of a bond

    Interest rate risk premium The compensation investors demand for bearing interest rate risk

    Yield to maturity (YTM) The market interest rate that equates a bond's present value of inter

    Liquidity premium The portion of a nominal interest rate or bond yield that represents c

    Default risk premium The portion of a nominal interest rate or bond yield that represents c

    Inflation premium The portion of a nominal interest rate that represents compensation

    Dirty price The price of a bond including accrued interest, also known as the full

    Clean price The price of a bond net of accrued interest; this is the price that is ty

    Face value or par value The principal amount of a bond that is repaid at the end of the term

    Term structure of interest rates The relationship between nominal interest rates on default-free, pur

    Fisher effect The relationship between nominal returns, real returns, and inflation

    Coupons The stated interest payments made on a bond

    Debenture Unsecured debt, usually with a maturity of 10 years or moreNote Unsecured debt, usually with a maturity under 10 years

    Indenture Written agreement between the corporation and the lender detailin

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    p discount

    ve to maturity

    at a specified price before maturity

    o whoever holds the bondre maturity

    ore a certain date

    tial, making call unattractive for issuer

    ion

    uring the term of the loan, usually to protect the lender's interest

    ade directly to the owner of record

    est payments and principal repayment with its price

    ompensation for lack of liquidity

    ompensation for the possibility of default

    for expected future inflation

    or invoice price. This is the price the buyer actually pays.

    ically quoted.

    e discount securities and time to maturity; that is, the pure time value of money

    the terms of the debt issue

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    Velor Inc. has 7.50% 10

    8%

    Bond price =

    = 463.19$ + 503.26$

    = 966.45$ Years =Annual =

    10 X 1 = 10 periods YTM =

    YTM = 8.00% / 1 = 8.00% Coupon =

    7.50% / 1 = 7.50% 7.5 Face Val =

    C/P =

    Present Value = 1,000.00$ / 1+ 8.00% 10 = 463.19$

    75.00$ x[(1-1/1+10

    )/1+ 8.00% ]= 503.26$

    coupon bonds on the market that have years left to maturity. The

    percent, what would each bond currently sell for?

    The present value of the coupon stream is :

    Annuity present value = 8.00%

    As the bonds make semiannual payments:

    Periods until Maturity =

    Present value + Annuity present value

    Coupon Rate =

    Present value of $1,000 face amount is :

    ^

    Note: Please make sure your final answer is accurate to 2 decimal places.

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    1 1,000$

    101

    8.00%

    7.50%

    1,000$

    75.00$

    bonds make payments. The face value is . If the YTM on these bonds is

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    Velor Inc. has 15.00% 6

    964$

    Bond yield = Rate(N,PMT,PV,FV,Type) Current = 964$

    = 15.98% Face Value = 1,000$

    YTM = 6Coupon = 15.00%

    Annual Pay = 1

    Type = 0

    coupon bonds on the market that have years left to maturity.

    If the bond currently sells for

    With a $75 coupon for 8 periods and a $1,000 face value, this price is: $777 = $75 (1 - 1/(1+r)8)/r + $1,000/(1+

    We've seen that the price of a bond can be written as the sum of its annuity and lump-sum components.

    Note: Please make sure your final answer is accurate to 2 decimal places and in percentage form. (For example:

    what is its YTM?

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    1 1,000$

    PV = 964.00-$

    FV = 1,000.00$

    N = 6PMT = 1000*CR = 150.00$

    I = ?

    he bonds make payments. The face value is

    r)8

    34.56%)

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    1 12

    1,000$

    Coupon Rate = $136.14 / 1,000.00$ Current = 1100 PV =

    = 13.61% Face Value = 1,000$ FV =

    YTM = 12 N =PMT = Bonds yield = 12.00% PMT =

    = $136.14 Annual Pay = 1

    Type = 0 CR ? =

    X-cell Inc. has bonds on the market making payments, with years to maturity, and

    The face value is What must the coupon rate be on X-cell Inc.'s bonds?

    Note: Please make sure your final answer is accurate to 2 decimal places and in percentage form. (For example: 3

    PMT(Bonds,N,PV,FV,TYPE)

    Solve the equation, we get C = $24.10. Therefore, the coupon rate = 2.41%

    Bond value = [Annuity present value of the coupons] + [Present value of the face amount]

    $800 = C (1 - 1/1.0510

    )/0.05 + $1,000/1.0510

    $800 - $1,000/1.0510

    (1 - 1/1.05

    10

    )/0.05

    C =

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    1,100$ 12%

    1,100.00-$

    1,000.00$

    121000*CR

    $136.14 X 1,000.00$ = 13.61%

    At this price, the bonds yieldselling for

    4.56%)

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    Cur Yld Vol Close Net Chg

    Star Inc. 12.80 16 15 80% -3/5

    Current yield = Coupon / Close price

    Re-arranging for the closing price:

    Close price = Coupon / Current yield

    = 12.8 / 16.00

    = 0.8 X 100%

    = 80%

    Suppose the following bond quote for Star Inc. appears today on a financial web site. If this bond has a face value

    We can use the following formula to help find our solution:

    Bonds

    Net Change = price change (as percent of face value) from the previous day.

    Close = closing price as a percent of face value (160 percent of $1,000)

    Volume = # of bonds traded that day

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    of $1,000, what was yesterday's closing price?

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    Face Value =

    Market Price =Coupon rate =

    Rate of return = YTM =

    = 15.97%

    I = ?

    P/Y =

    C/Y =

    Bond price =

    = -$548.99 = $548.99

    15.97% - 1.20% = 14.77%

    Holding period yield =

    = 19.85%

    Let's denote the HPY on your investment as R.

    The YTM on a bond is the interest rate you earn on your investment if interest rates don't change. If you

    c) In part b), what is the holding period yield (HPY) on your investment?

    Let's denote the rate of return you expect to earn on your investment as R.

    b) 2 years from now, the YTM on your bonds has declined by 2.80 percent, and you decide to sell. What

    Rate(N,PMT,PV,FV,TYPE)

    The YTM on the bond at 2 years from now

    PV(I,N,PMT,FV,TYPE)

    Since you decide to sell the bond 2 years from now, the face amount should be $1,122.71

    Rate(N,PMT,PV,FV,TYPE)

    a) Suppose that today you buy a 12 percent coupon bond making annual payment for $938. The bond h

    What rate of return do you expect to earn on your investment?

    holding period yield (HPY). Using this information, answer the questions below.

    Note: Please make sure your answers are accurate to 2 decimal places and for parts (a) and (c) your ans

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    1000 FV 1000

    497 PV = -4977.50% PMT = 1000*CR = 75

    20 N 20

    Type = 0

    1

    1

    Years = 2

    Type = 0 Beginning

    N = 20 - 2 = 18

    I = 14.77%

    Percent = 1.20%

    N = 2

    FV = $548.99

    actually sell the bond before it matures, your realized return is known as the

    price will your bond sell for?

    as 14 years to maturity.

    wers are in percentage form. (For example: 34.56%)