In: Finance
1A. A semiannual bond pays a 4.5 % coupon for the next 27 years. If investors want a 7.3% return, what are they willing to pay for the bond?
1)
If WACC is earned on the project i.e. IRR=WACC, then the Project was Indifferent. There is No Gain or No Loss by undertaking the Project. Therefore, Nothing is accomplished for shareholders.
1A)
Semi Annual Coupon = Face Value*Coupon Rate/2 = 1000*4.5%/2 = 22.5
Semi Annual Return = 0.073/2 = 0.0365
Period | Cash Flow | Discounting
Factor [1/(1.0365^year)] |
PV of Cash
Flows (cash flows*discounting factor) |
1 | 22.5 | 0.964785335 | 21.70767004 |
2 | 22.5 | 0.930810743 | 20.94324172 |
3 | 22.5 | 0.898032555 | 20.20573248 |
4 | 22.5 | 0.86640864 | 19.49419439 |
5 | 22.5 | 0.83589835 | 18.80771287 |
6 | 22.5 | 0.80646247 | 18.14540557 |
7 | 22.5 | 0.778063164 | 17.50642119 |
8 | 22.5 | 0.750663931 | 16.88993844 |
9 | 22.5 | 0.724229552 | 16.29516492 |
10 | 22.5 | 0.698726051 | 15.72133615 |
11 | 22.5 | 0.674120648 | 15.16771457 |
12 | 22.5 | 0.650381715 | 14.63358859 |
13 | 22.5 | 0.627478741 | 14.11827167 |
14 | 22.5 | 0.605382287 | 13.62110147 |
15 | 22.5 | 0.584063953 | 13.14143894 |
16 | 22.5 | 0.563496337 | 12.67866758 |
17 | 22.5 | 0.543653002 | 12.23219255 |
18 | 22.5 | 0.524508444 | 11.80143999 |
19 | 22.5 | 0.506038055 | 11.38585624 |
20 | 22.5 | 0.488218095 | 10.98490713 |
21 | 22.5 | 0.471025658 | 10.59807731 |
22 | 22.5 | 0.454438647 | 10.22486957 |
23 | 22.5 | 0.438435743 | 9.864804213 |
24 | 22.5 | 0.422996375 | 9.51741844 |
25 | 22.5 | 0.4081007 | 9.18226574 |
26 | 22.5 | 0.39372957 | 8.858915331 |
27 | 22.5 | 0.379864515 | 8.546951598 |
28 | 22.5 | 0.366487714 | 8.245973563 |
29 | 22.5 | 0.353581972 | 7.955594368 |
30 | 22.5 | 0.341130701 | 7.67544078 |
31 | 22.5 | 0.329117898 | 7.405152706 |
32 | 22.5 | 0.317528122 | 7.144382736 |
33 | 22.5 | 0.306346475 | 6.892795693 |
34 | 22.5 | 0.295558587 | 6.650068204 |
35 | 22.5 | 0.28515059 | 6.415888282 |
36 | 22.5 | 0.275109108 | 6.189954927 |
37 | 22.5 | 0.265421233 | 5.971977739 |
38 | 22.5 | 0.256074513 | 5.761676545 |
39 | 22.5 | 0.247056935 | 5.558781037 |
40 | 22.5 | 0.238356908 | 5.363030427 |
41 | 22.5 | 0.229963249 | 5.174173108 |
42 | 22.5 | 0.221865171 | 4.991966337 |
43 | 22.5 | 0.214052263 | 4.816175916 |
44 | 22.5 | 0.206514484 | 4.646575896 |
45 | 22.5 | 0.199242146 | 4.482948284 |
46 | 22.5 | 0.192225901 | 4.325082763 |
47 | 22.5 | 0.18545673 | 4.172776423 |
48 | 22.5 | 0.178925933 | 4.025833501 |
49 | 22.5 | 0.172625117 | 3.884065124 |
50 | 22.5 | 0.166546181 | 3.747289072 |
51 | 22.5 | 0.160681313 | 3.615329544 |
52 | 22.5 | 0.155022974 | 3.488016926 |
53 | 22.5 | 0.149563892 | 3.36518758 |
54 | 22.5 | 0.14429705 | 3.246683627 |
54 | 1000 | 0.14429705 | 144.2970501 |
Price
of the Bond = Sum of PVs |
671.7851699 |
Therefore, They are willing to pay 671.785/1000 = 67.1785% of Face Value