On July 1, 2021, Reddington Company issued bonds paying interest semiannually on June 30 and December 31 of each year at a coupon rate of 8%. At the issuance date, the market demands a 7% rate of return for bonds from a company with Reddington's creditworthiness and similar maturity. The bonds mature in 40 years on June 30, 2061, in the amount of $100,000,000.
Required: Prepare a bond amortization schedule on excel in good form for these bonds using appropriate excel formulas.
*Please make one work sheet with the amortization schedule and one showing the formulas
Answer :
Computation of bond price | |||
Table values are based on | |||
n = | 80 | ||
i = | 3.50% | ||
Cash flow | Table value | Amount | Present Value |
Par (Maturity) value | 0.06379 | $100,000,000.00 | $6,379,285 |
Interest (Annuity) | 26.74878 | $4,000,000.00 | $106,995,103 |
Price of bonds | $113,374,388 |
Bond Amortization Schedule | |||||
Semiannual period | Cash interest | Interest Expense | Premium amortized | Unamortized Premium | Carrying value |
Issue date | $13,374,388 | $113,374,388 | |||
1 | $4,000,000 | $3,968,104 | $31,896 | $13,342,492 | $113,342,492 |
2 | $4,000,000 | $3,966,987 | $33,013 | $13,309,479 | $113,309,479 |
3 | $4,000,000 | $3,965,832 | $34,168 | $13,275,311 | $113,275,311 |
4 | $4,000,000 | $3,964,636 | $35,364 | $13,239,946 | $113,239,946 |
5 | $4,000,000 | $3,963,398 | $36,602 | $13,203,345 | $113,203,345 |
6 | $4,000,000 | $3,962,117 | $37,883 | $13,165,462 | $113,165,462 |
7 | $4,000,000 | $3,960,791 | $39,209 | $13,126,253 | $113,126,253 |
8 | $4,000,000 | $3,959,419 | $40,581 | $13,085,672 | $113,085,672 |
9 | $4,000,000 | $3,957,999 | $42,001 | $13,043,670 | $113,043,670 |
10 | $4,000,000 | $3,956,528 | $43,472 | $13,000,199 | $113,000,199 |
11 | $4,000,000 | $3,955,007 | $44,993 | $12,955,206 | $112,955,206 |
12 | $4,000,000 | $3,953,432 | $46,568 | $12,908,638 | $112,908,638 |
13 | $4,000,000 | $3,951,802 | $48,198 | $12,860,440 | $112,860,440 |
14 | $4,000,000 | $3,950,115 | $49,885 | $12,810,555 | $112,810,555 |
15 | $4,000,000 | $3,948,369 | $51,631 | $12,758,925 | $112,758,925 |
16 | $4,000,000 | $3,946,562 | $53,438 | $12,705,487 | $112,705,487 |
17 | $4,000,000 | $3,944,692 | $55,308 | $12,650,179 | $112,650,179 |
18 | $4,000,000 | $3,942,756 | $57,244 | $12,592,936 | $112,592,936 |
19 | $4,000,000 | $3,940,753 | $59,247 | $12,533,688 | $112,533,688 |
20 | $4,000,000 | $3,938,679 | $61,321 | $12,472,367 | $112,472,367 |
21 | $4,000,000 | $3,936,533 | $63,467 | $12,408,900 | $112,408,900 |
22 | $4,000,000 | $3,934,312 | $65,688 | $12,343,212 | $112,343,212 |
23 | $4,000,000 | $3,932,012 | $67,988 | $12,275,224 | $112,275,224 |
24 | $4,000,000 | $3,929,633 | $70,367 | $12,204,857 | $112,204,857 |
25 | $4,000,000 | $3,927,170 | $72,830 | $12,132,027 | $112,132,027 |
26 | $4,000,000 | $3,924,621 | $75,379 | $12,056,648 | $112,056,648 |
27 | $4,000,000 | $3,921,983 | $78,017 | $11,978,631 | $111,978,631 |
28 | $4,000,000 | $3,919,252 | $80,748 | $11,897,883 | $111,897,883 |
29 | $4,000,000 | $3,916,426 | $83,574 | $11,814,309 | $111,814,309 |
30 | $4,000,000 | $3,913,501 | $86,499 | $11,727,809 | $111,727,809 |
31 | $4,000,000 | $3,910,473 | $89,527 | $11,638,283 | $111,638,283 |
32 | $4,000,000 | $3,907,340 | $92,660 | $11,545,623 | $111,545,623 |
33 | $4,000,000 | $3,904,097 | $95,903 | $11,449,719 | $111,449,719 |
34 | $4,000,000 | $3,900,740 | $99,260 | $11,350,460 | $111,350,460 |
35 | $4,000,000 | $3,897,266 | $102,734 | $11,247,726 | $111,247,726 |
36 | $4,000,000 | $3,893,670 | $106,330 | $11,141,396 | $111,141,396 |
37 | $4,000,000 | $3,889,949 | $110,051 | $11,031,345 | $111,031,345 |
38 | $4,000,000 | $3,886,097 | $113,903 | $10,917,442 | $110,917,442 |
39 | $4,000,000 | $3,882,110 | $117,890 | $10,799,552 | $110,799,552 |
40 | $4,000,000 | $3,877,984 | $122,016 | $10,677,537 | $110,677,537 |
41 | $4,000,000 | $3,873,714 | $126,286 | $10,551,251 | $110,551,251 |
42 | $4,000,000 | $3,869,294 | $130,706 | $10,420,544 | $110,420,544 |
43 | $4,000,000 | $3,864,719 | $135,281 | $10,285,263 | $110,285,263 |
44 | $4,000,000 | $3,859,984 | $140,016 | $10,145,248 | $110,145,248 |
45 | $4,000,000 | $3,855,084 | $144,916 | $10,000,331 | $110,000,331 |
46 | $4,000,000 | $3,850,012 | $149,988 | $9,850,343 | $109,850,343 |
47 | $4,000,000 | $3,844,762 | $155,238 | $9,695,105 | $109,695,105 |
48 | $4,000,000 | $3,839,329 | $160,671 | $9,534,434 | $109,534,434 |
49 | $4,000,000 | $3,833,705 | $166,295 | $9,368,139 | $109,368,139 |
50 | $4,000,000 | $3,827,885 | $172,115 | $9,196,024 | $109,196,024 |
51 | $4,000,000 | $3,821,861 | $178,139 | $9,017,884 | $109,017,884 |
52 | $4,000,000 | $3,815,626 | $184,374 | $8,833,510 | $108,833,510 |
53 | $4,000,000 | $3,809,173 | $190,827 | $8,642,683 | $108,642,683 |
54 | $4,000,000 | $3,802,494 | $197,506 | $8,445,177 | $108,445,177 |
55 | $4,000,000 | $3,795,581 | $204,419 | $8,240,758 | $108,240,758 |
56 | $4,000,000 | $3,788,427 | $211,573 | $8,029,185 | $108,029,185 |
57 | $4,000,000 | $3,781,021 | $218,979 | $7,810,206 | $107,810,206 |
58 | $4,000,000 | $3,773,357 | $226,643 | $7,583,564 | $107,583,564 |
59 | $4,000,000 | $3,765,425 | $234,575 | $7,348,988 | $107,348,988 |
60 | $4,000,000 | $3,757,215 | $242,785 | $7,106,203 | $107,106,203 |
61 | $4,000,000 | $3,748,717 | $251,283 | $6,854,920 | $106,854,920 |
62 | $4,000,000 | $3,739,922 | $260,078 | $6,594,842 | $106,594,842 |
63 | $4,000,000 | $3,730,819 | $269,181 | $6,325,662 | $106,325,662 |
64 | $4,000,000 | $3,721,398 | $278,602 | $6,047,060 | $106,047,060 |
65 | $4,000,000 | $3,711,647 | $288,353 | $5,758,707 | $105,758,707 |
66 | $4,000,000 | $3,701,555 | $298,445 | $5,460,262 | $105,460,262 |
67 | $4,000,000 | $3,691,109 | $308,891 | $5,151,371 | $105,151,371 |
68 | $4,000,000 | $3,680,298 | $319,702 | $4,831,669 | $104,831,669 |
69 | $4,000,000 | $3,669,108 | $330,892 | $4,500,777 | $104,500,777 |
70 | $4,000,000 | $3,657,527 | $342,473 | $4,158,305 | $104,158,305 |
71 | $4,000,000 | $3,645,541 | $354,459 | $3,803,845 | $103,803,845 |
72 | $4,000,000 | $3,633,135 | $366,865 | $3,436,980 | $103,436,980 |
73 | $4,000,000 | $3,620,294 | $379,706 | $3,057,274 | $103,057,274 |
74 | $4,000,000 | $3,607,005 | $392,995 | $2,664,279 | $102,664,279 |
75 | $4,000,000 | $3,593,250 | $406,750 | $2,257,528 | $102,257,528 |
76 | $4,000,000 | $3,579,013 | $420,987 | $1,836,542 | $101,836,542 |
77 | $4,000,000 | $3,564,279 | $435,721 | $1,400,821 | $101,400,821 |
78 | $4,000,000 | $3,549,029 | $450,971 | $949,850 | $100,949,850 |
79 | $4,000,000 | $3,533,245 | $466,755 | $483,094 | $100,483,094 |
80 | $4,000,000 | $3,516,906 | $483,094 | $0 | $100,000,000 |
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