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    Estimating Price of a Bond

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    Consider the two bonds described below:
    Bond A Bond B
    Maturity Years 15 20
    Coupon Rate 10 6
    (Paid Semiannually)
    Par Value 1,000 1,000

    a. If both bonds had a required return of 8%, what would the bonds prices be? Show work

    b. Describe what it means if a bond sells at a discount, a premium, and at its face amount (par value). Are these two bonds selling at a discount, premium or par?

    c. If the required return on the two bonds rose to 10%, what would the bonds' prices be? Show work

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    Solution:

    a. If both bonds had a required return of 8%, what would the bonds prices be? Show work

    Bond A
    C=coupon payments=(1000*10%)/2=$50
    n=number of coupon payments=15*2=30
    Maturity Value =M=$1000
    Required rate of return (semi annual) =r=8%/2=4%

    Price of bond =C/r*(1-1/(1+r)^n)+M/(1+r)^n
    Price of bond A=50/4%*(1-1/(1+4%)^30)+1000/(1+4%)^30=$1172.92

    Bond B
    C=coupon payments=(1000*6%)/2=$30
    n=number of coupon payments=20*2=40
    Maturity ...

    Solution Summary

    Solution explains the formula and methodology to estimate price of coupon paying bond at given discount rates.

    $2.19

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