Missing information on a
bond.
Your broker faxed to you the following information about two
quarterlyquarterly
coupon
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bonds that you are considering as a potential investment. Unfortunately, your fax machine is blurring some of the items, and all you can read from the fax on the two different bonds is the following:
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. Fill in the missing data from the information that the broker sent.
What is the price of the IBM coupon bond?
(Click on the following icon
in order to copy its contents into a spreadsheet.)
Features |
IBM Coupon Bond |
AOL Coupon Bond |
||
Face value (Par
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5,000 |
1,000 |
||
Coupon rate
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8.5% |
? |
||
Yield to maturity
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9.5% |
11.5% |
||
Years to maturity
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20 |
30 |
||
Price |
? |
537.68 |
Calculation of price of IBM coupon bond:
FV = 5000
PMT = 5000 * 8.5% = 425
Rate = 9.5%
Nper = 20
Price of the bond can be calculated by using the following excel
formula:
=PV(rate,nper,pmt,fv)
=PV(9.5%,20,-425,-5000)
= $4,559.38
Price of IBM coupon bond = $4,559.38
Calculation of coupon rate:
FV = 1000
Rate = 11.5%
Nper = 30
PV = 537.68
Coupon payment can be calculated by using the following excel
formula:
=PMT(rate,nper,pv,fv)
=PMT(11.5%,30,-537.68,1000)
= $59.72
Coupon rate = coupon payment / face value
= $59.72 / 1000
= 5.97%
Coupon rate of AOL coupon bond =
5.97%
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