On January 1, 2021, Water Wonderland issues $20 million of 7% bonds, due in eight years, with interest payable semiannually on June 30 and December 31 each year. Use Table 2 and Table 4. 1. If the market rate is 6%, will the bonds issue at face amount, a discount, or a premium? Calculate the issue price. (Round "PV Factor" to 5 decimal places. Round other intermediate calculations and final answer to the nearest dollar amount. Enter your answer in dollars, not in millions.) The bonds issue at and the issue price is
On January 1, 2021, Water Wonderland issues $20 million of 7% bonds, due in eight years, with interest payable semiannually on June 30 and December 31 each year. Use Table 2 and Table 4. 1. If the market rate is 6%, will the bonds issue at face amount, a discount, or a premium? Calculate the issue price. (Round "PV Factor" to 5 decimal places. Round other intermediate calculations and final answer to the nearest dollar amount. Enter your answer in dollars, not in millions.) The bonds issue at and the issue price is
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Question
On January 1, 2021, Water Wonderland issues $20 million of 7% bonds, due in eight years, with interest payable semiannually on June 30 and December 31 each year. Use Table 2 and Table 4.
1. If the market rate is 6%, will the bonds issue at face amount, a discount, or a premium? Calculate the issue price. (Round "PV Factor" to 5 decimal places. Round other intermediate calculations and final answer to the nearest dollar amount. Enter your answer in dollars, not in millions.)
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Transcribed Image Text:TABLE 4 Present Value of an Ordinary Annuity of $1
1
(1 +
PVA =
n/i 1.0%
1.5%
2.0%
2.5%
3.0%
3.5%
4.0%
4.5%
5.0%
5.5%
6.0%
7.0%
8.0%
9.0%
10.0%
11.0%
12.0%
13.0%
1
0.99010 0.98522 0.98039
0.97561
0.97087
0.96618 0.96154 0.95694
0.95238 0.94787 0.94340
0,93458 0.92593
0.91743 0.90909 0.90090 0.89286 0.88496
1.97040
1.95588 1.94156
1.92742
1.91347
1.89969
1.88609 1.87267
1.85941
1.84632 1.83339
1.80802
1.78326
1.75911 1.73554 1.71252 1.69005 1.66810
3
2.94099 2.91220 2.88388
2.85602
2.82861
2.80164 2.77509 2.74896
2.72325 2.69793 2.67301
2.62432 2.57710
2.53129 2.48685 2.44371 2.40183 2.36115
4
3.90197 3.85438 3.80773
3.76197
3.71710
3.67308
3.62990 3.58753 3.54595 3.50515 3.46511
3.38721 3.31213
3.23972 3.16987 3.10245 3.03735 2.97447
5
4.85343
4.78264 4.71346
4.64583
4.57971
4.51505
4.45182 4.38998
4.32948
4.27028 4.21236
4.10020 3.99271
3.88965 3.79079 3.69590 3.60478 3.51723
6
5.79548 5.69719 5.60143
5.50813
5.41719 5.32855
5.24214 5.15787
5.07569 4.99553 4.91732
4.76654 4.62288
4.48592 4.35526 4.23054 4.11141 3.99755
6.72819 6.59821 6.47199
6.34939 6.23028
6.11454
6.00205 5.89270
5.78637 5.68297 5.58238
5,38929 5.20637
5.03295 4.86842 4.71220 4.56376 4.42261
8 7.65168 7.48593 7.32548
7.17014
7.01969
6.87396 6.73274 6.59589
6.46321
6.33457 6.20979
5.97130 5.74664 5.53482 5.33493 5.14612 4.96764 4.79877
9
8.56602 8.36052 8.16224
7.97087
7.78611
7.60769
7.43533 7.26879
7.10782
6.95220 6.80169
6.51523 6.24689
5.99525 5.75902 5.53705 5.32825 5.13166
10 9.47130 9.22218 8.98259
8.75206 8.53020
8.31661
8.11090 7.91272
7.72173 7.53763 7.36009
7.02358 6.71008
6.41766 6.14457 5.88923 5.65022 5.42624
11 10.36763 10.07112 9.78685
9.51421
9.25262 9.00155 8.76048 8.52892
8.30641
8.09254 7.88687
7.49867 7.13896
6.80519 6.49506 6.20652 5.93770 5.68694
12 11.25508 10.90751 10.57534 10.25776 9.95400 9.66333 9.38507 9.11858
8.86325 8.61852 8.38384
7.94269 7.53608 7.16073 6.81369 6.49236 6.19437 5.91765
13 12.13374 11.73153 11.34837 10.98319 10.63496 10.30274 9.98565 9.68285
9.39357
9.11708 8.85268
8.35765 7.90378
7.48690 7.10336 6.74987 6.42355 6.12181
14 13.00370 12.54338 12.10625 11.69091 11.29607 10.92052 10.56312 10.22283
9.89864 9.58965 9.29498
8.74547 8.24424
7.78615 7.36669 6.98187 6.62817 6.30249
15 13.86505 13.34323 12.84926 12.38138 11.93794 11.51741 11.11839 10.73955 10.37966 10.03758 9.71225
9.10791 8.55948
8.06069 7.60608 7.19087 6.81086 6.46238
16 14.71787 14.13126 13.57771 13.05500 12.56110 12.09412 11.65230 11.23402 10.83777 10.46216 10.10590
9.44665 8.85137
8.31256 7.82371 7.37916 6.97399 6.60388
17 15.56225 14.90765 14.29187 13.71220 13.16612 12.65132 12.16567 11.70719 11.27407 10.86461 10.47726
9.76322 9.12164
8.54363 8.02155 7.54879 7.11963 6.72909
18 16.39827 15.67256 14.99203 14.35336 13.75351 13.18968 12.65930 12.15999 11.68959 11.24607 10.827 60 10.05909 9.37189
8.75563 8.20141 7.70162 7.24967 6.83991
19 17.22601 16.42617 15.67846 14.97889 14.32380 13.70984 13.13394 12.59329 12.08532 11.60765 11.15812 10.33560 9.60360
8.95011 8.36492 7.83929 7.36578 6.93797
20 18.04555 17.16864 16.35143 15.58916 14.87747 14.21240 13.59033 13.00794 12.46221 11.95038 11.46992 10.59401 9.81815
9.12855 8.51356 7.96333 7.46944 7.02475
21 18.85698 17.90014 17.01121 16.18455 15.41502 14.69797 14.02916 13.40472 12.82115 12.27524 11.76408 10.83553 10.01680
9.29224 8.64869 8.07507 7.56200 7.10155
22 19.66038 18.62082 17.65805 16.76541 15.93692 15.16712 14.45112 13.78442 13.16300 12.58317 12.04158 11.06124 10.20074 9.44243 8.77154 8.17574 7.64465 7.16951
23 20.45582 19.33086 18.29220 17.33211 16.44361 15.62041 14.85684 14.14777 13.48857 12.87504 12.30338 11.27219 10.37106
9.58021 8.88322 8.26643 7.71843 7.22966
24 21.24339 20.03041 18.91393 17.88499 16.93554 16.05837 15.24696 14.49548 13.79864 13.15170 12.55036 11.46933 10.52876 9.70661 8.98474 8.34814 7.78432 7.28288
25 22.02316 20.71961 19.52346 18.42438 17.41315 16.48151 15.62208 14.82821 14.09394 13.41393 12.78336 11.65358 10.67478
9.82258 9.07704 8.42174 7.84314 7.32998
30 25.80771 24.01584 22.39646 20.93029 19.60044 18.39205 17.29203 16.28889 15.37245 14.53375 13.76483 12.40904 11.25778 10.27365 9.42691 8.69379 8.05518 7.49565
35 29.40858 27.07559 24.99862 23.14516 21.48722 20.00066 18.66461 17.46101 16.37419 15.39055 14.49825 12.94767 11.65457 10.56682 9.64416 8.85524 8.17550 7.58557
40 32.83469 29.91585 27.35548 25.10278 23.11477 21.35507 19.79277 18.40158 17.15909 16.04612 15.04630 13.33171 11.92461 10.75736 9.77905 8.95105 8.24378 7.63438
45 36.09451 32.55234 29.49016 26.83302 24.51871 22.49545 20.72004 19.15635 17.77407 16.54773 15.45583 13.60552 12.10840 10.88120 9.86281 9.00791 8.28252 7.66086
50 39.19612 34.99969 31.42361 28.36231 25.72976 23.45562 21.48218 19.76201 18.25593 16.93152 15.76186 13.80075 12.23348 10.96168 9.91481 9.04165 8.30450 7.67524
Transcribed Image Text:TABLE 2 Present Value of $1
$1
PV =
(1 + iyn
n/i 1.0%
1.5%
2.0%
2.5%
3.0%
3.5%
4.0%
4.5%
5.0%
5.5%
6.0%
7.0%
8.0%
9.0%
10.0%
11.0%
12.0%
13.0%
1 0.99010 0.98522 0.98039 0.97561 0,97087 0.96618 0,96154
0.95694 0.95238
0.94787 0,94340 0.93458 0,92593
0.91743
0.90909
0.90090
0.89286
0.88496
2 0.98030 0.97066 0.96117 0.95181 0.94260 0.93351 0.92456 0.91573 0.90703 0.89845 0.89000 0.87344 0.85734
0.84168 0,.82645 0.81162
0.79719
0.78315
3 0.97059
4 0.96098 0.94218 0.92385 0.90595 0.88849 0.87144 0.85480 0.83856 0.8227o 0.80722 0.79209 0.76290
5 0.95147 0.92826 0.90573 0.88385 0.86261 0.84197 0.82193 0.80245 0.78353 0.76513 0.74726 0.71299 0.68058
0.95632 0.94232 0.92860 0.91514 0.90194 0.88900 0.87630 0.86384 0.85161 0.83962 0.81630 0.79383
0.77218 0.75131
0.73119
0.71178 0.69305
0.73503
0.70843 0.68301
0.65873
0.63552 0.61332
0.64993 0.62092 0.59345
0.56743
0.54276
6 0.94205 0.91454 0.88797 0.86230 0.83748 0.81350 0.79031
7 0.93272 0.90103 0.87056 0.84127 0.81309 0.78599 0.75992 0.73483 0.71068 0.68744 0.66506 0.62275 0.58349
8 0.92348 0.88771 0.85349 0.82075 0.78941 0.75941 0.73069 0.70319 0.67684 0.65160 0.62741 0.58201 0.54027
9 0.91434 0.87459 0.83676 0.80073 0.76642 0.73373 0.70259 0.67290 0.64461
0.76790 0.74622 0.72525 0.70496 0.66634 0.63017
0.59627
0.56447
0.53464
0.50663
0.48032
0.54703 0.51316 0.48166
0.45235
0.42506
0.50187
0.46651
0.43393
0.40388
0.37616
0.61763 0.59190 0.54393 0.50025
0.46043
0.42410 0.39092
0.36061
0.33288
10 0.90529 0.86167 0.82035 0.78120 0.74409 0.70892 0.67556 0.64393 0.61391 0.58543 0.55839 0.50835
0.46319
0.42241 0.38554 0.35218
0.32197
0.29459
11 0.89632 0.84893 0.80426 0.76214 0.72242 0.68495 0.64958 0.61620 0.58468
0.55491 0.52679 0.47509 0.42888
0.38753 0.35049 0.31728
0.28748
0.26070
12 0.88745 0.83639 0.78849 0.74356 0.70138 0.66178 0.62460 0.58966 0.55684 0.52598 0.49697 0.44401
0.39711
0.35553
0.31863
0.28584
0.25668
0.23071
13 0.87866 0.82403 0.77303 0.72542 0.68095 0.63940 0.60057 0.56427 0.53032 0.49856 0.46884 0.41496
0.36770
0.32618
0.28966
0.25751
0.22917
0.20416
14 0.86996 0.81185 0.75788 0.70773 0.66112 0.61778 0.57748 0.53997 0.50507 0.47257 0.44230 0.38782 0.34046
0.29925 0.26333 0.23199
0.20462
0.18068
15 0.86135 0.79985 0.74301 0.69047 0.64186 0.59689 0.55526 0.51672 0.48102 0.44793 0.41727 0.36245
0.31524
0.27454
0.23939
0.20900
0.18270 0.15989
16 0.85282
0.788
0.72845 0.67362 0.62317 0.57671 0.53391 0.49447 0.45811 0.42458 0.39365 0.33873
0.29189
0.25187
0.21763 0.18829
0.16312
0.14150
17 0.84438 0.77639 0.71416 0.65720 0.60502 0.55720 0.51337 0.47318 0.43630 0.40245 0.37136 0.31657
0.27027
0.23107 0.19784 0.16963
0.14564
0.12522
18 0.83602 0.76491 0.70016 0.64117 0.58739 0.53836 0.49363 0.45280 0.41552 0.38147 0.35034 0.29586
0.25025
0.21199 0.17986 0.15282
0.13004 0.11081
19 0.82774 0.75361 0.68643 0.62553 0.57029 0.52016 0.47464 0.43330 0.39573 0.36158 0.33051 0.27651
0.23171
0.19449
0.16351
0.13768
0.11611
0.09806
20 0.81954 0.74247 0.67297 0.61027 0.55368 0.50257 0.45639
0.41464 0.37689 0.34273 0.31180 0.25842
0.21455
0.17843
0.14864 0.12403
0.10367
0.08678
21 0.81143 0.73150 0.65978 0.59539 0.53755 0.48557 0.43883 0.39679 0.35894 0.32486 0.29416 0.24151 0.19866
0.16370 0.13513 0.11174
0.09256
0.07680
22 0.80340 0.72069 0.64684 0.58086 0.52189 0.46915 0.42196 0.37970 0.34185 0.30793 0.27751 0.22571
0.18394
0.15018 0.12285
0.10067
0.08264 0.06796
23 0.79544 0.71004 0.63416 0.56670 0.50669 0.45329 0.40573 0.36335 0.32557 0.29187 0.26180 0.21095
0.17032
0.13778
0.11168 0.09069
0.07379
0.06014
24 0.78757 0.69954 0.62172 0.55288 0.49193 0.43796 0.39012 0.34770 0.31007 0.27666 0.24698 0.19715 0.15770
0.12640 0.10153 0.08170
0.06588
0.05323
25 0.77977 0.68921 0.60953 0.53939 0.47761 0.42315 0.37512 0.33273 0.29530 0.26223 0.23300 0.18425
0.14602
0.11597
0.09230 0.07361
0.05882 0.04710
30 0.74192 0.63976 0.55207 0.47674 0.41199 0.35628 0.30832 0.26700 0.23138 0.20064 0.17411 0.13137
0.09938
0.07537
0.05731
0.04368
0.03338
0.02557
35 0.70591 0.59387 0.50003 0.42137 0.35538 0.29998 0.25342 0.21425 0.18129 0.15352 0.13011
0.09366
0.06763
0.04899 0.03558 0.02592
0.01894 0.01388
40 0.67165 0.55126 0.45289 0.37243 0.30656 0.25257 0.20829 0.17193 0.14205 0.11746 0.09722 0.06678
0.04603
0.03184 0.02209 0.01538
0.01075
0.00753
45 0.63905 0.51171 0.41020 0.32917 0.26444 0.21266 0.17120 0.13796 0.11130 0.08988 0.07265 0.04761
0.03133
0.02069
0.01372
0.00913
0.00610 0.00409
50 0.60804 0.47500 0.37153 0.29094 0.22811 0.17905 0.14071 0.11071 0.08720 0.06877 0.05429 0.03395
0.02132
0.01345 0.00852 0.00542
0.00346
0.00222
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