In: Accounting
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.
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 | |||||