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In: Finance

Otobo, Inc., has a bond outstanding with a coupon rate of 5.0 percent and semiannual payments....

Otobo, Inc., has a bond outstanding with a coupon rate of 5.0 percent and semiannual payments. The yield to maturity is 9.9 percent and the bond matures in 14 years. What is the market price if the bond has a par value of $6000?

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Expert Solution

Statement showing price of bond when interest paid semi annually:
(In case of semi annual bond, yield= 9.9/2= 4.95%, coupon=5/2= 2.5%, time to maturity= 14*2=28)
Particulars Time PVf @4.95% Amount PV
Cash Flows (Interest)                          1.00                   0.9528       150.00                        142.93
Cash Flows (Interest)                          2.00                   0.9079       150.00                        136.18
Cash Flows (Interest)                          3.00                   0.8651       150.00                        129.76
Cash Flows (Interest)                          4.00                   0.8243       150.00                        123.64
Cash Flows (Interest)                          5.00                   0.7854       150.00                        117.81
Cash Flows (Interest)                          6.00                   0.7484       150.00                        112.25
Cash Flows (Interest)                          7.00                   0.7131       150.00                        106.96
Cash Flows (Interest)                          8.00                   0.6794       150.00                        101.91
Cash Flows (Interest)                          9.00                   0.6474       150.00                          97.11
Cash Flows (Interest)                        10.00                   0.6168       150.00                          92.53
Cash Flows (Interest)                        11.00                   0.5878       150.00                          88.16
Cash Flows (Interest)                        12.00                   0.5600       150.00                          84.00
Cash Flows (Interest)                        13.00                   0.5336       150.00                          80.04
Cash Flows (Interest)                        14.00                   0.5084       150.00                          76.27
Cash Flows (Interest)                        15.00                   0.4845       150.00                          72.67
Cash Flows (Interest)                        16.00                   0.4616       150.00                          69.24
Cash Flows (Interest)                        17.00                   0.4398       150.00                          65.98
Cash Flows (Interest)                        18.00                   0.4191       150.00                          62.86
Cash Flows (Interest)                        19.00                   0.3993       150.00                          59.90
Cash Flows (Interest)                        20.00                   0.3805       150.00                          57.07
Cash Flows (Interest)                        21.00                   0.3626       150.00                          54.38
Cash Flows (Interest)                        22.00                   0.3455       150.00                          51.82
Cash Flows (Interest)                        23.00                   0.3292       150.00                          49.37
Cash Flows (Interest)                        24.00                   0.3136       150.00                          47.04
Cash Flows (Interest)                        25.00                   0.2988       150.00                          44.83
Cash Flows (Interest)                        26.00                   0.2847       150.00                          42.71
Cash Flows (Interest)                        27.00                   0.2713       150.00                          40.70
Cash Flows (Interest)                        28.00                   0.2585       150.00                          38.78
Cash flows (Maturity Amount)                        28.00                   0.2585    6,000.00                    1,551.00
                   3,797.91
Price of bond is $3797.91

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