Question

In: Finance

Madsen Motors's bonds have 19 years remaining to maturity. Interest is paid annually; they have a...

Madsen Motors's bonds have 19 years remaining to maturity. Interest is paid annually; they have a $1,000 par value; the coupon interest rate is 8.5%; and the yield to maturity is 12%. What is the bond's current market price? Round your answer to the nearest cent.

Solutions

Expert Solution

Calculation of price of bond:
Particulars Time PVf @12% Amount PV
Cash Flows (Interest)                          1.00                   0.8929          85.00                 75.89
Cash Flows (Interest)                          2.00                   0.7972          85.00                 67.76
Cash Flows (Interest)                          3.00                   0.7118          85.00                 60.50
Cash Flows (Interest)                          4.00                   0.6355          85.00                 54.02
Cash Flows (Interest)                          5.00                   0.5674          85.00                 48.23
Cash Flows (Interest)                          6.00                   0.5066          85.00                 43.06
Cash Flows (Interest)                          7.00                   0.4523          85.00                 38.45
Cash Flows (Interest)                          8.00                   0.4039          85.00                 34.33
Cash Flows (Interest)                          9.00                   0.3606          85.00                 30.65
Cash Flows (Interest)                        10.00                   0.3220          85.00                 27.37
Cash Flows (Interest)                        11.00                   0.2875          85.00                 24.44
Cash Flows (Interest)                        12.00                   0.2567          85.00                 21.82
Cash Flows (Interest)                        13.00                   0.2292          85.00                 19.48
Cash Flows (Interest)                        14.00                   0.2046          85.00                 17.39
Cash Flows (Interest)                        15.00                   0.1827          85.00                 15.53
Cash Flows (Interest)                        16.00                   0.1631          85.00                 13.87
Cash Flows (Interest)                        17.00                   0.1456          85.00                 12.38
Cash Flows (Interest)                        18.00                   0.1300          85.00                 11.05
Cash Flows (Interest)                        19.00                   0.1161          85.00                   9.87
Cash flows (Maturity Amount)                        19.00                   0.1161    1,000.00               116.10
Fair Price               742.19
Price of bond is $742.19

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