7.
A) As with most bonds, consider a bond with a face value of $1,000. The bond's maturity is 27 years, the coupon rate is 14% paid annually, and the market yield (discount rate) is 5%. What should be the estimated value of this bond in one year? Assume the market yield remains unchanged. Enter your answer in terms of dollars, rounded to the nearest cent.
B) As with most bonds, consider a bond with a face value of $1,000. The bond's maturity is 8 years, the coupon rate is 13% paid annually, and the market yield (discount rate) is 4%. What is the bond's Current Yield? Enter your answer as a percentage.
Sol
A)
Face value = $1000
Period (nper) = 27 years, Estimated value of this bond in one year so Period will be 27 - 1 = 26 years
Coupon rate = 14%
PMT = Annual coupon payment = 1000 x 14% = 140
Market yield (r) = 5%
Face value | 1000 |
nper | 26 |
PMT | 140 |
Market yield | 5% |
PV | $2,293.77 |
Estimated value of this bond in one year is $2,294
B)
Face value = $1000
Period (nper) = 8 years
Coupon rate = 13%
PMT = Annual coupon payment = 1000 x 13% = 130
Market yield (r) = 4%
Face value | 1000 |
nper | 8 |
PMT | 130 |
Market yield | 4% |
PV | $1,605.95 |
Current yield | 8.09% |
Therefore current yield of the bond is 8.09%
Workings
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