Thompson Corporation is planning to issue $130,000, five-year, 6 percent bonds. Interest is payable semi-annually each June 30 and December 31. All of the bonds will be sold on July 1, 2017; they mature on June 30, 2022.
Required:Compute the issue (sale) price on July 1, 2017, if the yield is: (Round time value factor to 4 decimal places. Round the final answers to the nearest dollar amount.)
a. 6%
b. 5%
c.7%
Calculation of sales price of bonds | |||||||||
If yield = 6% | If yield = 5% | If yield = 7% | |||||||
Period | Cash Inflow | Discounting factor @ 3% | Discounted Cash Inflow | Discounting factor @ 2.5% | Discounted Cash Inflow | Discounting factor @ 3.5% | Discounted Cash Inflow | ||
(Face Value * Coupon rate * 6/12) | (6%/2) | .@ 3% | (5%/2) | .@ 2.5% | (7%/2) | .@ 3.5% | |||
(A) | (B) | (A) * (B) | (C ) | (A) * (C ) | (D) | (A) * (D) | |||
Interest payment | 12-31-17 | $ 3,900 | 0.9709 | $ 3,786.41 | 0.9756 | $ 3,804.88 | 0.9662 | $ 3,768.12 | |
Interest payment | 06-30-18 | $ 3,900 | 0.9426 | $ 3,676.12 | 0.9518 | $ 3,712.08 | 0.9335 | $ 3,640.69 | |
Interest payment | 12-31-18 | $ 3,900 | 0.9151 | $ 3,569.05 | 0.9286 | $ 3,621.54 | 0.9019 | $ 3,517.58 | |
Interest payment | 06-30-19 | $ 3,900 | 0.8885 | $ 3,465.10 | 0.9060 | $ 3,533.21 | 0.8714 | $ 3,398.62 | |
Interest payment | 12-31-19 | $ 3,900 | 0.8626 | $ 3,364.17 | 0.8839 | $ 3,447.03 | 0.8420 | $ 3,283.70 | |
Interest payment | 06-30-20 | $ 3,900 | 0.8375 | $ 3,266.19 | 0.8623 | $ 3,362.96 | 0.8135 | $ 3,172.65 | |
Interest payment | 12-31-20 | $ 3,900 | 0.8131 | $ 3,171.06 | 0.8413 | $ 3,280.93 | 0.7860 | $ 3,065.36 | |
Interest payment | 06-30-21 | $ 3,900 | 0.7894 | $ 3,078.70 | 0.8207 | $ 3,200.91 | 0.7594 | $ 2,961.71 | |
Interest payment | 12-31-21 | $ 3,900 | 0.7664 | $ 2,989.03 | 0.8007 | $ 3,122.84 | 0.7337 | $ 2,861.55 | |
Interest & Repayment | 06-30-22 | $ 133,900 | 0.7441 | $ 99,634.18 | 0.7812 | $ 104,602.47 | 0.7089 | $ 94,924.23 | |
Total | $ 130,000 | Total | $ 135,689 | Total | $ 124,594 | ||||
Answer | If Yield rate is | Issue(sale) price on July 1, 2017 | |||||||
6% | $ 130,000 | ||||||||
5% | $ 135,689 | ||||||||
7% | $ 124,594 |
Thompson Corporation is planning to issue $130,000, five-year, 6 percent bonds. Interest is payable semi-annually each...
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