Question

In: Finance

A corporate bond matures in 14 years. The bond has an 8 percent coupon and a...

A corporate bond matures in 14 years. The bond has an 8 percent coupon and a par value of $1,000. Interest is paid semiannually. The bond is priced to yeild 6.0%. What is the bond's current price? Hint: Should it be above or below the face value?

Group of answer choices

$987.52

$1,006.57

$1,187.64

$1,199.35

$1,212.24

Solutions

Expert Solution

Statement showing price of bond:
( In case of semi annual bond, yield= 6/2=3%, Coupon rate=8/2=4%, Years=14*2=28
Particulars Time PVf @3% Amount PV
Cash Flows (Interest)                          1.00                   0.9709          40.00                 38.83
Cash Flows (Interest)                          2.00                   0.9426          40.00                 37.70
Cash Flows (Interest)                          3.00                   0.9151          40.00                 36.61
Cash Flows (Interest)                          4.00                   0.8885          40.00                 35.54
Cash Flows (Interest)                          5.00                   0.8626          40.00                 34.50
Cash Flows (Interest)                          6.00                   0.8375          40.00                 33.50
Cash Flows (Interest)                          7.00                   0.8131          40.00                 32.52
Cash Flows (Interest)                          8.00                   0.7894          40.00                 31.58
Cash Flows (Interest)                          9.00                   0.7664          40.00                 30.66
Cash Flows (Interest)                        10.00                   0.7441          40.00                 29.76
Cash Flows (Interest)                        11.00                   0.7224          40.00                 28.90
Cash Flows (Interest)                        12.00                   0.7014          40.00                 28.06
Cash Flows (Interest)                        13.00                   0.6810          40.00                 27.24
Cash Flows (Interest)                        14.00                   0.6611          40.00                 26.44
Cash Flows (Interest)                        15.00                   0.6419          40.00                 25.67
Cash Flows (Interest)                        16.00                   0.6232          40.00                 24.93
Cash Flows (Interest)                        17.00                   0.6050          40.00                 24.20
Cash Flows (Interest)                        18.00                   0.5874          40.00                 23.50
Cash Flows (Interest)                        19.00                   0.5703          40.00                 22.81
Cash Flows (Interest)                        20.00                   0.5537          40.00                 22.15
Cash Flows (Interest)                        21.00                   0.5375          40.00                 21.50
Cash Flows (Interest)                        22.00                   0.5219          40.00                 20.88
Cash Flows (Interest)                        23.00                   0.5067          40.00                 20.27
Cash Flows (Interest)                        24.00                   0.4919          40.00                 19.68
Cash Flows (Interest)                        25.00                   0.4776          40.00                 19.10
Cash Flows (Interest)                        26.00                   0.4637          40.00                 18.55
Cash Flows (Interest)                        27.00                   0.4502          40.00                 18.01
Cash Flows (Interest)                        28.00                   0.4371          40.00                 17.48
Cash flows (Maturity Amount)                        28.00                   0.4371    1,000.00               437.10
Fair Price           1,187.64
So correct answer is $1187.64

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