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In: Accounting

Williams Company plans to issue bonds with a face value of $605,500 and a coupon rate...

Williams Company plans to issue bonds with a face value of $605,500 and a coupon rate of 4 percent. The bonds will mature in 10 years and pay interest semiannually every June 30 and December 31. All of the bonds are sold on January 1 of this year. (FV of $1, PV of $1, FVA of $1, and PVA of $1) (Use the appropriate factor(s) from the tables provided. Round your final answer to whole dollars.)  

Determine the issuance price of the bonds assuming an annual market rate of interest of 4 percent.

Solutions

Expert Solution

Face Value $ 605500
Coupon Rate 4%
Period 10 Years
Market Rate 4%
Semiannual Interest 12110(605500*4%/2)
We have to calculate the price on Jan 1 by discounting the future cashflows at market rate
Calculating the price of bond
Cash Flow PV Factor @ 4% semiannually) Present Value
Year 1             12,110              0.9804                11,873
Year 1             12,110              0.9612                11,640
Year 2             12,110              0.9423                11,412
Year 2             12,110              0.9238                11,188
Year 3             12,110              0.9057                10,968
Year 3             12,110              0.8880                10,753
Year 4             12,110              0.8706                10,542
Year 4             12,110              0.8535                10,336
Year 5             12,110              0.8368                10,133
Year 5             12,110              0.8203                  9,934
year 6             12,110              0.8043                  9,740
year 6             12,110              0.7885                  9,549
Year 7             12,110              0.7730                  9,361
Year 7             12,110              0.7579                  9,178
Year 8             12,110              0.7430                  8,998
Year 8             12,110              0.7284                  8,821
Year 9             12,110              0.7142                  8,649
Year 9             12,110              0.7002                  8,479
Year 10             12,110              0.6864                  8,313
Year 10          6,17,610              0.6730             4,15,634
Total             6,05,500
Price of the bond           6,05,500

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