Question
3. Determine the total interest expense for Year 1. 4. Will the bond proceeds always be less than the face amount of the bonds when
3. Determine the total interest expense for Year 1.
4. Will the bond proceeds always be less than the face amount of the bonds when the contract rate is less than the market rate of interest?
Yes
No
5. Compute the price of $16,661,102 received for the bonds by using the tables shown in Present Value Tables. Round to the nearest dollar.
Present value of the face amount | |
Present value of the semiannual interest payments | |
Price received for the bonds |
Two present value tables are provided: Present Value of $1 at Compound Interest Due in n Periods and Present Value of Ordinary Annuity of $1 per Period. Use them as directed in the problem requirements.
Present Value of $1 at Compound Interest Due in n Periods | |||||||||
Periods | 3.0% | 3.5% | 4.0% | 4.5% | 5% | 5.5% | 6% | 6.5% | 7% |
1 | 0.97087 | 0.96618 | 0.96154 | 0.95694 | 0.95238 | 0.94787 | 0.94340 | 0.93897 | 0.93458 |
2 | 0.94260 | 0.93351 | 0.92456 | 0.91573 | 0.90703 | 0.89845 | 0.89000 | 0.88166 | 0.87344 |
3 | 0.91514 | 0.90194 | 0.88900 | 0.87630 | 0.86384 | 0.85161 | 0.83962 | 0.82785 | 0.81630 |
4 | 0.88849 | 0.87144 | 0.85480 | 0.83856 | 0.82270 | 0.80722 | 0.79209 | 0.77732 | 0.76290 |
5 | 0.86261 | 0.84197 | 0.82193 | 0.80245 | 0.78353 | 0.76513 | 0.74726 | 0.72988 | 0.71299 |
6 | 0.83748 | 0.81350 | 0.79031 | 0.76790 | 0.74622 | 0.72525 | 0.70496 | 0.68533 | 0.66634 |
7 | 0.81309 | 0.78599 | 0.75992 | 0.73483 | 0.71068 | 0.68744 | 0.66506 | 0.64351 | 0.62275 |
8 | 0.78941 | 0.75941 | 0.73069 | 0.70319 | 0.67684 | 0.65160 | 0.62741 | 0.60423 | 0.58201 |
9 | 0.76642 | 0.73373 | 0.70259 | 0.67290 | 0.64461 | 0.61763 | 0.59190 | 0.56735 | 0.54393 |
10 | 0.74409 | 0.70892 | 0.67556 | 0.64393 | 0.61391 | 0.58543 | 0.55839 | 0.53273 | 0.50835 |
11 | 0.72242 | 0.68495 | 0.64958 | 0.61620 | 0.58468 | 0.55491 | 0.52679 | 0.50021 | 0.47509 |
12 | 0.70138 | 0.66178 | 0.62460 | 0.58966 | 0.55684 | 0.52598 | 0.49697 | 0.46968 | 0.44401 |
13 | 0.68095 | 0.63940 | 0.60057 | 0.56427 | 0.53032 | 0.49856 | 0.46884 | 0.44102 | 0.41496 |
14 | 0.66112 | 0.61778 | 0.57748 | 0.53997 | 0.50507 | 0.47257 | 0.44230 | 0.41410 | 0.38782 |
15 | 0.64186 | 0.59689 | 0.55526 | 0.51672 | 0.48102 | 0.44793 | 0.41727 | 0.38883 | 0.36245 |
16 | 0.62317 | 0.57671 | 0.53391 | 0.49447 | 0.45811 | 0.42458 | 0.39365 | 0.36510 | 0.33873 |
17 | 0.60502 | 0.55720 | 0.51337 | 0.47318 | 0.43630 | 0.40245 | 0.37136 | 0.34281 | 0.31657 |
18 | 0.58739 | 0.53836 | 0.49363 | 0.45280 | 0.41552 | 0.38147 | 0.35034 | 0.32189 | 0.29586 |
19 | 0.57029 | 0.52016 | 0.47464 | 0.43330 | 0.39573 | 0.36158 | 0.33051 | 0.30224 | 0.27651 |
20 | 0.55368 | 0.50257 | 0.45639 | 0.41464 | 0.37689 | 0.34273 | 0.31180 | 0.28380 | 0.25842 |
21 | 0.53755 | 0.48557 | 0.43883 | 0.39679 | 0.35894 | 0.32486 | 0.29416 | 0.26648 | 0.24151 |
22 | 0.52189 | 0.46915 | 0.42196 | 0.37970 | 0.34185 | 0.30793 | 0.27751 | 0.25021 | 0.22571 |
23 | 0.50669 | 0.45329 | 0.40573 | 0.36335 | 0.32557 | 0.29187 | 0.26180 | 0.23494 | 0.21095 |
24 | 0.49193 | 0.43796 | 0.39012 | 0.34770 | 0.31007 | 0.27666 | 0.24698 | 0.22060 | 0.19715 |
25 | 0.47761 | 0.42315 | 0.37512 | 0.33273 | 0.29530 | 0.26223 | 0.23300 | 0.20714 | 0.18425 |
26 | 0.46369 | 0.40884 | 0.36069 | 0.31840 | 0.28124 | 0.24856 | 0.21981 | 0.19450 | 0.17220 |
27 | 0.45019 | 0.39501 | 0.34682 | 0.30469 | 0.26785 | 0.23560 | 0.20737 | 0.18263 | 0.16093 |
28 | 0.43708 | 0.38165 | 0.33348 | 0.29157 | 0.25509 | 0.22332 | 0.19563 | 0.17148 | 0.15040 |
29 | 0.42435 | 0.36875 | 0.32065 | 0.27902 | 0.24295 | 0.21168 | 0.18456 | 0.16101 | 0.14056 |
30 | 0.41199 | 0.35628 | 0.30832 | 0.26700 | 0.23138 | 0.20064 | 0.17411 | 0.15119 | 0.13137 |
31 | 0.39999 | 0.34423 | 0.29646 | 0.25550 | 0.22036 | 0.19018 | 0.16425 | 0.14196 | 0.12277 |
32 | 0.38834 | 0.33259 | 0.28506 | 0.24450 | 0.20987 | 0.18027 | 0.15496 | 0.13329 | 0.11474 |
33 | 0.37703 | 0.32134 | 0.27409 | 0.23397 | 0.19987 | 0.17087 | 0.14619 | 0.12516 | 0.10723 |
34 | 0.36604 | 0.31048 | 0.26355 | 0.22390 | 0.19035 | 0.16196 | 0.13791 | 0.11752 | 0.10022 |
35 | 0.35538 | 0.29998 | 0.25342 | 0.21425 | 0.18129 | 0.15352 | 0.13011 | 0.11035 | 0.09366 |
40 | 0.30656 | 0.25257 | 0.20829 | 0.17193 | 0.14205 | 0.11746 | 0.09722 | 0.08054 | 0.06678 |
45 | 0.26444 | 0.21266 | 0.17120 | 0.13796 | 0.11130 | 0.08988 | 0.07265 | 0.05879 | 0.04761 |
50 | 0.22811 | 0.17905 | 0.14071 | 0.11071 | 0.08720 | 0.06877 | 0.05429 | 0.04291 | 0.03395 |
Present Value of Ordinary Annuity of $1 per Period | |||||||||
Periods | 3.0% | 3.5% | 4.0% | 4.5% | 5% | 5.5% | 6% | 6.5% | 7% |
1 | 0.97087 | 0.96618 | 0.96154 | 0.95694 | 0.95238 | 0.94787 | 0.94340 | 0.93897 | 0.93458 |
2 | 1.91347 | 1.89969 | 1.88609 | 1.87267 | 1.85941 | 1.84632 | 1.83339 | 1.82063 | 1.80802 |
3 | 2.82861 | 2.80164 | 2.77509 | 2.74896 | 2.72325 | 2.69793 | 2.67301 | 2.64848 | 2.62432 |
4 | 3.71710 | 3.67308 | 3.62990 | 3.58753 | 3.54595 | 3.50515 | 3.46511 | 3.42580 | 3.38721 |
5 | 4.57971 | 4.51505 | 4.45182 | 4.38998 | 4.32948 | 4.27028 | 4.21236 | 4.15568 | 4.10020 |
6 | 5.41719 | 5.32855 | 5.24214 | 5.15787 | 5.07569 | 4.99553 | 4.91732 | 4.84101 | 4.76654 |
7 | 6.23028 | 6.11454 | 6.00205 | 5.89270 | 5.78637 | 5.68297 | 5.58238 | 5.48452 | 5.38929 |
8 | 7.01969 | 6.87396 | 6.73274 | 6.59589 | 6.46321 | 6.33457 | 6.20979 | 6.08875 | 5.97130 |
9 | 7.78611 | 7.60769 | 7.43533 | 7.26879 | 7.10782 | 6.95220 | 6.80169 | 6.65610 | 6.51523 |
10 | 8.53020 | 8.31661 | 8.11090 | 7.91272 | 7.72173 | 7.53763 | 7.36009 | 7.18883 | 7.02358 |
11 | 9.25262 | 9.00155 | 8.76048 | 8.52892 | 8.30641 | 8.09254 | 7.88687 | 7.68904 | 7.49867 |
12 | 9.95400 | 9.66333 | 9.38507 | 9.11858 | 8.86325 | 8.61852 | 8.38384 | 8.15873 | 7.94269 |
13 | 10.63496 | 10.30274 | 9.98565 | 9.68285 | 9.39357 | 9.11708 | 8.85268 | 8.59974 | 8.35765 |
14 | 11.29607 | 10.92052 | 10.56312 | 10.22283 | 9.89864 | 9.58965 | 9.29498 | 9.01384 | 8.74547 |
15 | 11.93794 | 11.51741 | 11.11839 | 10.73955 | 10.37966 | 10.03758 | 9.71225 | 9.40267 | 9.10791 |
16 | 12.56110 | 12.09412 | 11.65230 | 11.23402 | 10.83777 | 10.46216 | 10.10590 | 9.76776 | 9.44665 |
17 | 13.16612 | 12.65132 | 12.16567 | 11.70719 | 11.27407 | 10.86461 | 10.47726 | 10.11058 | 9.76322 |
18 | 13.75351 | 13.18968 | 12.65930 | 12.15999 | 11.68959 | 11.24607 | 10.82760 | 10.43247 | 10.05909 |
19 | 14.32380 | 13.70984 | 13.13394 | 12.59329 | 12.08532 | 11.60765 | 11.15812 | 10.73471 | 10.33560 |
20 | 14.87747 | 14.21240 | 13.59033 | 13.00794 | 12.46221 | 11.95038 | 11.46992 | 11.01851 | 10.59401 |
21 | 15.41502 | 14.69797 | 14.02916 | 13.40472 | 12.82115 | 12.27524 | 11.76408 | 11.28498 | 10.83553 |
22 | 15.93692 | 15.16712 | 14.45112 | 13.78442 | 13.16300 | 12.58317 | 12.04158 | 11.53520 | 11.06124 |
23 | 16.44361 | 15.62041 | 14.85684 | 14.14777 | 13.48857 | 12.87504 | 12.30338 | 11.77014 | 11.27219 |
24 | 16.93554 | 16.05837 | 15.24696 | 14.49548 | 13.79864 | 13.15170 | 12.55036 | 11.99074 | 11.46933 |
25 | 17.41315 | 16.48151 | 15.62208 | 14.82821 | 14.09394 | 13.41393 | 12.78336 | 12.19788 | 11.65358 |
26 | 17.87684 | 16.89035 | 15.98277 | 15.14661 | 14.37519 | 13.66250 | 13.00317 | 12.39237 | 11.82578 |
27 | 18.32703 | 17.28536 | 16.32959 | 15.45130 | 14.64303 | 13.89810 | 13.21053 | 12.57500 | 11.98671 |
28 | 18.76411 | 17.66702 | 16.66306 | 15.74287 | 14.89813 | 14.12142 | 13.40616 | 12.74648 | 12.13711 |
29 | 19.18845 | 18.03577 | 16.98371 | 16.02189 | 15.14107 | 14.33310 | 13.59072 | 12.90749 | 12.27767 |
30 | 19.60044 | 18.39205 | 17.29203 | 16.28889 | 15.37245 | 14.53375 | 13.76483 | 13.05868 | 12.40904 |
31 | 20.00043 | 18.73628 | 17.58849 | 16.54439 | 15.59281 | 14.72393 | 13.92909 | 13.20063 | 12.53181 |
32 | 20.38877 | 19.06887 | 17.87355 | 16.78889 | 15.80268 | 14.90420 | 14.08404 | 13.33393 | 12.64656 |
33 | 20.76579 | 19.39021 | 18.14765 | 17.02286 | 16.00255 | 15.07507 | 14.23023 | 13.45909 | 12.75379 |
34 | 21.13184 | 19.70068 | 18.41120 | 17.24676 | 16.19290 | 15.23703 | 14.36814 | 13.57661 | 12.85401 |
35 | 21.48722 | 20.00066 | 18.66461 | 17.46101 | 16.37419 | 15.39055 | 14.49825 | 13.68696 | 12.94767 |
40 | 23.11477 | 21.35507 | 19.79277 | 18.40158 | 17.15909 | 16.04612 | 15.04630 | 14.14553 | 13.33171 |
45 | 24.51871 | 22.49545 | 20.72004 | 19.15635 | 17.77407 | 16.54773 | 15.45583 | 14.48023 | 13.60552 |
50 | 25.72976 | 23.45562 | 21.48218 | 19.76201 | 18.25593 | 16.93152 | 15.76186 | 14.72452 | 13.80075 |
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